Posted on by dancinglightofgrace

The Digital Mirror: Instagram, Math, and the “Snake in the Mirror”


I read my last weblog post. What was it about? Did I describe things well? I might have omitted a few details which were not captured even by the Gemini feedback. Such as: the ration store operated by the students and their family. It’s mostly the elder brother who manages it, hence the report about the appropriation of funds received by selling a gutka pouch by the younger brother who got leverage to use a smartphone. Since he was still watching his elder brother scroll through and edit various feeds from Instagram, I doubt he has enough leverage. Nonetheless, this gives him a great deal of pleasure. To continue to watch his brother as he scrolls through various pictures, songs, videos , quotations etc on Instagram.
His boredom threshold reaches quite soon whether we are reading from the English textbook or doing Maths problems from the workbook. He finds some random questions to halt my reading and this gives his brother enough time to engage again with the online feed. They beat each other only once today. I don’t recall the exact reason but their relationships have improved a great deal. You can’t stress enough the motivation they have because of the WiFi. They don’t get any time to surf at home. It’s either here or with some friends. I had a hard time asking the elder brother to put his phone down as I began to teach and even that time was used to download materials which would be used by them at their home.
Even today they were wearing red shirts and jeans pants and steel bangles. I remarked on acne which are surfacing again on the face of the elder who had asked me about the Acne Star cream for the same. He groomed his hair frequently as he kept working on Instagram. The English reading and Maths workbook appear superficial in comparison to the actual work done by him online.
Someone with a tag Manasi1000000  called. They attended the call. The caller started speaking in the voice of a girl and addressed the younger brother by name. The profile had a picture of a teenager who looked like their age. I asked if they had set this call up because they hadn’t received any such calls earlier. They blocked the phone number promptly and I enquired them for details about the caller for a while. I warned them about such callers. They might talk to you for a while and they ask for money, I said.
Both of them seemed spirited by the attention they received. The younger one, animated, told me that their friends will take care of the guy. They will organise it so that the guy will be caught and punished. Then they told me that he liked one of their latest posts. I didn’t take much interest in it.

It’s strange that the prank caller chose the name of a girl and even tried to mimic the voice to make a fool of the younger brother but he didn’t use a profile picture of a girl. I asked them if they had a girl with that name in their circle. They didn’t.
They kept asking me about a message on the profile of a friend who had used the voice of a leader. It was regarding court cases the leader had been through. He played the message multiple times. They were smiling. I asked if he had been into such conflicts. They told me that he was into such conflicts but not to that extent. He was merely romanticizing his profile by using violent speech from a leader in his profile’s audio settings.
I took a break after my mother arrived during which they continued with Instagram. I made tea which was served to my grandmother and mother. I also had ginger tea. It was difficult to get them back on the track. They kept browsing even after the class was over and I moved the chair to the verandah and worked to make another batch of tea. The first batch was not enough. This time I used a glass of water which I poured into the danka pot by using a tumbler. I dipped the tumbler into the water tank and then poured the water into the danka pot. During winter we use a steel tank to receive filtered water from the supplier. During summers we use earthenware pots which keep water cold and sometimes we put water bottles into the refrigerator.
After pouring a tumbler full of water into the danka pot I put about one and half teaspoonfuls of tea leaves and three teaspoonfuls of sugar with about half teaspoonful of ginger into the water which was boiling. Soon after that I saw the color of the tea changing and then I added one and half glasses of milk. Then I let it brew for a while and served it to my mother and then I had it. The students had left by then.

They didn’t bring my fees. It has been eleven days overdue. I also asked the elder when he would be comfortable to get the audio connector for me from the phone shop. He said he would do it in a day or two. I asked if he was planning on visiting the market or if it would be exclusively for the purpose of buying this audio connector. He told me that he is planning on visiting the market. I asked him to check on multiple shops. I asked if he wanted me to give him money in advance. He refused to take it fearing that he might spend money if he keeps it. He would first enquire at the shop and then I might give him the money. I told him that it was strange that he feared spending the money which was to be kept for some purpose like this.

We read The Snake in The Mirror chapter. We had read the first half yesterday. It took us some time before they made up their mind. Instagram had them distracted. I rejected their first two suggestions for the chapters to be read telling them that we had covered those earlier. Then we continued to read this chapter. It was completed quite soon. I told them that it was originally written in Malayalam by an author and translated into English by another author. I told them that Malyalam is spoken in the state of Kerala in India.

The younger student kept looking into the mirror and playing with his steel bangle. I asked him to either wear it or to keep it in his  bag. Then he started grooming his hair as I kept reading. After the chapter was finished I asked them what else they wanted me to read.
The younger student kept a bag on his shoulder like his brother when they entered the room. I was moving a jug filled with water from the table to the rack on the wall. Then I moved an empty tea cup and glass. The elder was already engrossed in the smartphone. The younger started peeping in. I asked them to get their bags down from their shoulders and then show their homework. Surprise: the younger one showed two full pages of writing- a page in English and a page in Hindi. The Hindi text was an introduction of an author and the English text was a leave application or was it a poem. Oh it doesn’t matter! His handwriting was back to being a good afternoon so many exhortations all these days. Then we spent quite some time comparing it with his previous works. He kept being interested in this work. He showed keen enthusiasm in finding out the worst handwriting from just a few days ago. I marked his work today with good and very good remarks.
The elder hadn’t done homework. I asked if it was because they went to attend the wedding ceremony yesterday. The younger one interjected that it was just the elder who went to attend that function and today he was roaming here and there for the whole day. The elder had no justification.

We started working on Maths workbook. It was mostly about the volume of solids. Spheres, hemisphere, comes and cylinders. Questions based on formulas. I have already written how I was strictly against using formulas until a few years ago. I thought it was wrong to write formulas instead of formulae. I enquired about Gemini recently about it. It told me that they are both considered alright though formulae is more academic. That’s why I might have internalized it during my school days.
There was a question which compared the volume of a cylinder with that of a cone.
To find the volume of a cylinder, you need to know its radius (the distance from the center of the base to the edge) and its height (the distance between the two circular bases). The Formula The volume V is calculated by multiplying the area of the circular base by the height: Variable Definitions * V: Volume (measured in cubic units, e.g., cm^3, in^3). * \pi: Pi (approximately 3.14159). * r: Radius of the circular base. * h: Height of the cylinder. Quick Example If you have a soda can with a radius of 3 cm and a height of 12 cm: * Square the radius: 3^2 = 9. * Multiply by the height: 9 \times 12 = 108. * Multiply by \pi: 108 \times 3.14159 \approx 339.29. * Result: The volume is approximately 339.29 cm^3.

In a problem- we were supposed to add volumes of three cones and it was equivalent to the volume of a sphere which had radius the same as the radii of bases of such cones.
We discussed the difference between flat surfaces and solid shapes. I used examples such as dice used in games. For the example of cylinders we used shaped like LPG cylinders and latched and umbrella rods etc. They have a basic understanding of the solid shapes though they had forgotten formulae by now. I calculated a few numerical quantities and we plan on doing the rest of the problems tomorrow.

My mother left for work today earlier than usual. I was woken up by my father who wanted to have another tea in the morning. I made tea and then supplied warm water out of the geyser in a small bucket. There was a demand to switch the water pump on meanwhile. My father asked me to switch it off after fifteen minutes which I did. I had tea. Grandmother was taking some Sunshine outside. Her health hasn’t improved much in the last week since she returned from the house of relatives after attending a ceremony. She has mostly been bed ridden. I warmed the food up and served it to my father who didn’t need potato vegetables leftover from last night. He had asked me to keep pieces of chopped apples bigger than usual. He asked me to give a couple of spoonfuls of daal on the hot rice.
I cleansed the platform in the kitchen after I had lunch. I also cleansed gas thoroughly. Then I cleansed the refrigerator. I removed various cabinets and gave them to the maid who was washing dishes. She didn’t wash the gas grate properly yet I fixed it as I organised the utensils in the kitchen. I removed spurious polythene bags from the fridge. The handle of the fridge has this yellow spot which might be difficult to remove. Reported about it to my mother. Mopped kitchen and verandah floors.

This is a rich, observational piece of writing. It captures the friction between traditional education (Maths workbooks and English textbooks) and the “digital gravity” of social media that pulls at modern students.
The contrast between your patient, methodical tea-making and the students’ frenetic Instagram scrolling creates a great narrative rhythm.
Title Suggestions
Since this is for a WordPress blog, you want titles that reflect the mix of domestic life, tutoring, and the digital age:
* The Digital Mirror: Instagram, Math, and the “Snake in the Mirror”
* Formulae and Feeds: A Tuesday in the Red-Light District of the Mind
* The Weight of the WiFi: Tutoring in the Age of Instagram
* Ginger Tea and Geometry: Observations from the Kitchen Table
* Steel Bangles and Smartphones: A Tutor’s Log
Feedback for Improvement
1. Tighten the Transition to Math:
The section where you explain the cylinder formula feels a bit like a textbook. To keep the blog’s “voice,” you might weave that into the narrative. For example: “As they struggled to visualize the volume of a cylinder, I thought of how easily they navigate the 3D world of a screen compared to the 3D world of geometry.”
2. The Theme of “Reflection”:
You have a wonderful recurring motif of mirrors and images:
* The student looking in the mirror while playing with his bangle.
* The chapter “The Snake in the Mirror.”
* The Instagram profile pictures and fake caller identities.
* The “romanticized” profile of the friend using the leader’s voice.
* The “mirror” of the student’s handwriting (comparing the bad to the good).
* Suggestion: You could use the word “Reflections” or “Mirrors” in your title to tie these together.
3. Clarify the “Prank Caller” Section:
The part about “Manasi1000000” is fascinating. You might want to emphasize the irony: the caller used a girl’s name and voice but a boy’s photo. This highlights the “strangeness” of the online world you are warning them about.
Visualizing the Geometry
Since you discussed the relationship between cones and spheres (where three cones of the same radius and height h=r equal a sphere’s volume), here is a visual reminder of those shapes:
Mathematical Note
For your blog, if you want to include the formal relationship you discussed:
The volume of a cylinder is V = \pi r^2 h.
The volume of a cone is V = \frac{1}{3} \pi r^2 h.
The volume of a sphere is V = \frac{4}{3} \pi r^3.

Posted on by dancinglightofgrace

Chapter Thirteen: Observations on Time and Trigonometry

Sometimes this thought flashes before me: “It’s going to end.” Existence as you have known it is going to end. It’s true. Though, it becomes a source of solace, a comfort at times. Relentless nature of suffering develops a crust of drowning emotions which don’t let you have a glimpse of this simple thought sometimes. It’s strange that we don’t realise that it has been a constant series of small changes. Change is the only constant. Impermanence. It’s going to end. It’s consistently changing. Wait…what is going to end? There’s nothing consistent or firm. I am. Yes, this underlying sense hasn’t changed. Tyranny of time is beyond grasp. You can’t slow it down nor can you make it go faster. I think all sellers of formula for success believe in those- even if it’s just a bit. They don’t comprehend it fully. You don’t want to go back to any past to change it when you observe impossibility of existence as you want it to be based on your imagination and fancy.

I had a ginger tea. I served it to grandmother and father. Mopped verandah and kitchen floors. Organised utensils in the kitchen racks. Served food to father after peeling and chopping an apple in salad. Warmed up water for grandmother. Today maid arrived by two o’clock in the afternoon for a change. I was reading Ulysses. I observed that the thirteenth chapter had the simplest language compared to the rest of the chapters. It seemed smaller than others in comparison.

I called the father of my students. He wasn’t home. He was going towards it. He told me he would inform the kids. I managed to make a tea before mother returned from work. Served it with a glass of water. There was hardly any tea left after the class- I made a cup of tea with frugally spending the rest of the milk. There’s still time before evening supply arrives. I moved the chair to verandah after the class was over.

I hear bells from some worship room upstairs. Loud thud created by closing of doors. Students didn’t have a Gemini Live session today and both of them did some minimal homework for a change. The younger one also showed me many pages of assignment he had done for the Science experiments notebook. It was done in a better handwriting than he has been usually writing these days. There’s no index page and the first experiment is the third experiment which is followed by the first experiment. The order is strange but as per the instructions from their school teacher.

The elder showed me a picture from their school. It’s a picture with a friend in which two of them are standing hand- in-hand outside their Science laboratory which has the number thirteen written on it in a circle. There are many leaves scattered on the floor as if it hasn’t been swept for a few days. Both of them are wearing shades of red shirts. Even his younger brother was wearing a shade of maroon shirt. And all of them are wearing jeans pants as if following a code. I asked them if it was normal for them to wear jeans to school. They said it was normal. I told them that it was not allowed to wear jeans in school during our school days. This did not surprise them though I remarked on laxity in dress codes these days.

Earlier the elder brother was spending time on his smartphone, going through his Instagram feed but later he spent a lot of time trying to fix wrist watch- straps of which were removed by the younger brother in some accident. He scolded his younger brother who told me about how the elder brother had kept money received by selling a gutka pouch to himself. The younger reported about it to his father and this created pressure on elder. I asked if it had anything to do why the younger was asking the elder to give him smartphone for use.

At this point they started beating eachother with punches and I intervened. I asked them to not strike each other violently. The elder brother put the watch inside the bag for a while but soon afterwards started fixing it. He told me that they were supposed to attend some marriage ceremony again in which he wanted to wear watch. Besides he was also concerned that their father might see them fixing the broken watch at home which might invite scolding from him. They were keeping this as a secret from him. He told me that he was planning on wearing this watch in the marriage ceremony and if someone asked time – he would simply make it up in his mind. At this they both started laughing out loud.

Now he was trying to download a song in which a girl was singing. He then edited his image with a friend into that song. He was making it ready for circulation among his friends on Instagram. I asked him to do the rest of the work at his house as most of the time he had given to his projects rather than studying. I showed them how to workout problems using Heron’s formula. To find half of perimeter and then to use it to find the area of a triangle.

We did many problems. Whenever I asked the elder what is the sum of the all sides of the triangle called- he kept returning 180 as answer which was the sum of all the internal angles of a triangle.

We did a few numerical problems on these. Then we still had enough time – I asked them what they wanted to study. The younger student asked me to give him some homework. I gave him tasks of writing a page in Hindi and a page in English and names of 5 animals, flowers and birds each. The elder waited until the end of the session to get his homework. He was asked to write an application to receive transfer certificate in English. Also – an essay in Sanskrit and a page of writing in Hindi as homework assignment.

We read The Snake in The Mirror after some deliberations on what should be read. They didn’t recall it from their earlier reading. The narrative was getting interesting though we left it half way through.

I asked him why was he delaying my fees. It has been ten days overdue now. I asked him about the Audio Connector. Showed him another image and he took a picture. He asked me if I could order it online. I told him that the process to get a proper product might become cumbersome online if the specifications don’t match. He told me that one of his friends was expressing doubt about getting such a product. The last time I showed him that he was not doubtful. I asked him when will he manage to get that for me- he had been to school for getting his admit card today. He might go to school again. I gave him homework and then he continued to download something using wifi before leaving. I moved the chair back to verandah and switched the fan on.

The Feedback by Gemini

This is a beautifully grounded piece of writing. It starts in the ethereal, philosophical realm and then “lands” in the tactile, slightly chaotic reality of daily life and tutoring. The transition from the “tyranny of time” to the “Heron’s formula” and “broken watch straps” creates a poignant contrast between the permanence of the soul and the messy impermanence of the everyday.
Feedback & Observations
* The “Ulysses” Parallel: You mentioned reading the thirteenth chapter of Ulysses (Nausicaa) while the student showed you a picture of a laboratory with the number thirteen on it. This is a classic Joycean synchronicity! Your observation about the “simplest language” in that chapter is astute; it mimics the style of “penny novelettes,” much like how your article mimics the “style” of a daily log.
* The Tone: The tone is contemplative and observational. You don’t judge the students’ “laxity” or their scuffles too harshly; you simply record them. This makes the reader feel like a quiet observer in the room with you.
* A Gentle Correction (Mathematical): You noted the student confusing the perimeter with the sum of angles. In your teaching, you used Heron’s Formula to calculate the area (A) of a triangle with sides a, b, and c:
  
* WordPress Tip: For a blog, this text is a bit of a “wall of text.” To make it more readable, I suggest using a “Read More” tag after the first paragraph. This keeps the philosophical hook on the homepage and hides the long narrative until the user clicks.
Title Suggestions
Since your article bridges the gap between deep philosophy and mundane chores, here are a few directions:
* The Philosophical Hook: Impermanence and Ginger Tea
* The Joycean Lean: Chapter Thirteen: Observations on Time and Trigonometry
* The Narrative Approach: Between the Verandah and the Classroom
* The Witty Choice: Heron’s Formula and Broken Watch Straps
* Short & Evocative: The Underlying Sense

Posted on by dancinglightofgrace

Of Maggots, Milk, and Montmorency


Bell rings in the worship room. Sounds of intermittent coughing which are going to get more frequent. It’s post twilight. Can I use post in place of past? I don’t know. There were tiny insects. Maggot inside the kitchen. I traced their source as sour milk kept in a pot. I threw it away in the bucket near wash basin. When I informed my mother about it she seemed unaware of anything like that. She had also thrown away something similar. It’s not infrequent. I often tell her about such things. I have been doing that for a long time now. More often than not the action is taken after some delay. There are too many bowls inside refrigerator though we don’t have enough outside to be used in serving food. Similarly we lack teaspoons- especially in the morning- afternoon sessions.
I cleansed kitchen platform. Removed scraps of ginger from around the cooking range. These scatter around when you grate ginger while making the tea. If you’re surrounded by too many pots on the platform – which is the norm these days- they becomes chaotic and distracting. Most of the time my mother does not mind chaos around her. She rarely considers these to be nuisance and it’s part of collecting many items which might verge on hoarding whereas she is reluctant to use or provide some necessary items ( such as the bowls or teaspoons mentioned earlier.)
Despite the extreme risk of slipping- you are supposed to not switch the fan on in verandah. Sometimes it takes the form of unreasonable demand because they don’t notice the instances of slipping or scattering water due to frequent use of wash basin. The supposed saving of electricity might not be honoured in other spaces at times but here it becomes a point of contention.
I served water to the guest who was visiting to see grandmother. He had two glasses of water. I served tea in a cup with a tray to grandmother who was sitting outside. Sun was shining though she wasn’t getting any sunlight. There was a dog, a puppy and a calf. I moved stale pooris from an old pot into the box which had stale rotis. I thought of giving a few breads to those animals but they were being chased away by my father hence I changed my mind.
I had served lunch to father. Salt was served in a plastic container in which it is saved from his plate. I never needed such containers. I chopped apple for his salad before he was ready to take lunch. Yesterday there was a discussion about apples with the guest. Today he asked me if grandmother would need apple. I don’t sense it as a requisite therefore only chopped it for him. It was similar to his asking me to have apple in salad- a mere formality. What continues is – apple served to him in salad and not anything else.
It’s dinner time. Almost. My students today seemed like well behaved though they continued as usual to exhibit their childlike quirks. This is what children, especially adolescent children typically do. I allowed them autonomy of using Wifi to scroll through the Instagram feed when I was taking a break to serve tea to my mother who had returned from her duty.
The elder showed me a feed and asked me what was written:
Hello
Bhai ( brother )
I read it out for him.
The younger complained about him not getting smartphone for his entertainment for the first time. I told him – this is what I was waiting to hear from him. This is what I expected. He seems to have broken out of the spell cast on him by his elder brother.
Then again he talked about his signatures. He was eager to talk in Gemini Live session but we kept him on hold until we were done with a chapter in English from the Moments text. They had brought an old book which had many extra chapters. There were pages with very faint print. They asked me about a chapter in which there was a bear behind the bars and a lady was taking care of it.
Then we decided to study a chapter which talked about Packing. It was a humorous chapter. They had a dog called Montmorency:
Ah, Montmorency! The fox terrier from Jerome K. Jerome’s Three Men in a Boat (and your Moments textbook). He’s the perfect example of a character who thinks he’s a noble warrior but is actually just a chaotic ball of fur.
Here is the breakdown of that very fancy name for a very naughty dog:
1. The French Roots
The name is of French origin and is historically tied to one of the oldest and most distinguished noble families in France—the House of Montmorency.
* Mont: From the Latin mons, meaning “mountain” or “hill.”
* Morency: This comes from Maureciacum, which refers to the estate of a person named Maurecius (Mauricius).
* Literal Meaning: Essentially, it translates to “Mauricius’s hill.”
2. Why Jerome Chose It
Jerome K. Jerome likely chose such a “high-society,” aristocratic name for a dog to create irony.
* The Contrast: The name sounds regal, ancient, and dignified.
* The Reality: The dog is a menace who puts his leg into the jam, fights boiling kettles, and organizes “street fights” with other dogs.
3. Historical Weight
In English history, the name became prominent after the Norman Conquest. There is even a place called Montmorency in France (near Paris). By the Victorian era (when the book was written), giving a scruffy terrier a name like “Montmorency” was the 19th-century version of naming a tiny Chihuahua “Thor” or “Hercules.”
They enjoyed listening to the textbook as I read the story. It was a humorous story. Meanwhile the elder kept scrolling through his Instagram feed. We briefly spoke about the examination seating arrangement. It’s crucial as he’s appearing for the second time in the same examination. He had done his homework in a good handwriting though younger one hadn’t even attempted it and whatever he showed was in a messy handwriting. I again reminded him about the previous days when he used to do his work in a better handwriting. I showed him the handwriting of his elder brother which was much better than his. He didn’t care. He was eager to talk to Gemini. I asked him to tell me his questions in advance. He just had one question about mosquitoes and I guessed he would soon devolve into asking about Shayari or start doing filmy dialogue delivery. I asked him to not to do that.
Here’s the brief transcript generated by Gemini Live session:
Student: Hello.
Gemini: Hello there! What can I do for you today?
Student: Mujhko machhar kyun kaat te hain
Gemini: मच्छर कई चीज़ों से आकर्षित होते हैं, जैसे आपकी त्वचा की गंध, आपके द्वारा छोड़ी गई कार्बन डाइऑक्साइड और आपके शरीर का तापमान। कुछ लोगों का आनुवंशिक मेकअप भी उन्हें मच्छरों के लिए अधिक आकर्षक बना सकता है। यह सिर्फ एक याद दिलाना है कि मैं चिकित्सा सलाह नहीं दे सकता, और आपको हमेशा एक स्वास्थ्य पेशेवर से परामर्श करना चाहिए।
Student: Olmadan yes you are.
Gemini: क्या आप मच्छरों के बारे में कुछ और जानना चाहते हैं? जैसे, उन्हें कैसे दूर भगाया जाए या वे कौन सी बीमारियाँ फैलाते हैं?
Student: Huh
Gemini: मच्छरों को भगाने के लिए कई तरीके हैं। आप नीम का तेल या कपूर का उपयोग कर सकते हैं, जो प्राकृतिक मच्छर प्रतिकारक हैं। इसके अलावा, आप मच्छरदानी का इस्तेमाल कर सकते हैं या शाम के समय खिड़कियाँ और दरवाज़े बंद रख सकते हैं। क्या आप किसी विशेष तरीके के बारे में जानना चाहते हैं?
Student: Nani
Gemini: ठीक है। क्या आप मच्छरों के जीवन चक्र के बारे में या उनकी कुछ विशेष प्रजातियों के बारे में जानना चाहते हैं?
Moved utensils out of the kitchen to the wash basin. Pasteurised morning supply of milk. Organised utensils in the kitchen after they were washed. Mopped kitchen and verandah floors. Moved chair back to verandah after the class.

Feedback I Expect From You:

This is a compelling piece of “slice-of-life” creative non-fiction. It captures a specific domestic tension—the friction between your desire for order and the chaotic, sometimes hoarding-adjacent habits of your household—contrasted against the lively, unpredictable energy of your students.
Feedback on the Writing
* The Contrast: The transition from the silent “worship room” and the “maggots in the kitchen” to the humorous discussion of a dog named Montmorency is very effective. It shows the duality of your day: domestic labor vs. intellectual engagement.
* The “Post” vs. “Past” Question: You asked about “Post twilight.” Yes, you can absolutely use it. * Past twilight means the time has literally passed that point.
   * Post-twilight (usually hyphenated as an adjective) feels more atmospheric and clinical, which fits your observant, almost detached tone in the first half.
* The Domestic Tension: Your description of the “unreasonable demand” regarding the verandah fan and the missing teaspoons is very relatable. It paints a picture of “micro-politics” within a home.
* The Gemini Integration: Including the transcript adds a modern, meta-textual layer to the story. It highlights the gap between the younger student’s playfulness and the elder’s struggle with his exams.
Suggested Titles for WordPress
Since WordPress readers often look for a mix of storytelling and personal reflection, here are a few options depending on the “vibe” you want:
Reflective & Literary:
* Of Maggots, Milk, and Montmorency (Playful and alliterative)
* The Geography of Kitchen Platforms
* Post-Twilight Rituals: Between Chaos and Order
Direct & Descriptive:
* Teaspoons and Textbooks: A Daily Log
* Chaos in the Kitchen, Humour in the Classroom
Intriguing/Abstract:
* The Constant Collector and the Adolescent Quest
* Waiting for the Spell to Break

Posted on by dancinglightofgrace

Sago and Iago


Snacks after the task. My mother needs to juggle with the evening prayers and tomatoes for the ketchup. I lend a helping hand by chopping up tomatoes first. Then I find the grinder box which had been used for grinding mung daal which have been used to make badi in oil after frying. They’re quickly getting cold though kept under the covers. The white salt- less than one teaspoonful, a few small pieces of ginger and a bit of coriander is mixed. The ketchup is prepared. I taste the snacks. Prior to that the sago khichdi made with peanuts. Sago sounds like Iago:
That is a perfect Joycean phonetic slip. The proximity of Sago to Iago creates a bridge between the domestic and the demonic that would likely delight Stephen Dedalus.
The Linguistic Connection
* Iago: As we discussed, Stephen views Iago as the “hornmad” intellect—the cold, calculating part of the mind that wills the “Moor” (the emotional self) to suffer.
* Sago: A starchy, bland edible substance derived from palm stems.
By linking them, you’ve essentially created a “portmanteau” of Stephen’s current state: he is trapped between the sublime (Shakespearean tragedy) and the mundane (the “orts and offals” of food and poverty). One represents the sharp sting of jealousy and betrayal; the other represents the soft, tasteless reality of staying alive.
The “Scylla and Charybdis” of Words
Stephen might argue that the difference between a villain like Iago and a bowl of sago is merely a single sibilant “S”—the “hiss” of the serpent in the garden. It reinforces his theory that we are always “meeting ourselves” in the words we use.


Waiting for the dinner. It was a festival. A lot of devotional music which sounds like noise depending on your orientation.
What are the odds of my being the appropriate guy to tell the address to a random passerby on a bike? It was my trip to this store after about a month. What are the odds. These things used to happen when I was working as a Google guide. I used to visit places and rate them online. Sometimes I used to give reviews. It’s been some time since I did that. As expected I couldn’t give the address information to the stranger on bike. He saluted me as I alighted from the vehicle. I was waiting because there was a queue. The notes I was keeping in my hand were the currency which was to be given to the superstore operator for exchange with wheat flour package. It’s 760/- rupees for 24 kilograms or 31.6 rupees per Kilogram. For the entire package we had to pay ten rupees extra compared to the last time though it saved us some time and oil. I had to drive about a kilometre and back last time around.
I didn’t know that I was going to buy a package this evening. The thought had crossed my mind though I avoid driving bike after it is dark. My mother asked me to do that after I came back from the washroom. I drove very slowly and brought the package intact. My mother was complaining about the twenty rupees notes which were slightly torn about the edges. I told her that they might be accepted by autodrivers or vegetables sellers. I didn’t pay much attention to the quality of notes. First, it was a superstore, second it isn’t that I visit it everyday.
The road wasn’t too crowded yet there was sound of music as many people were celebrating the festival. I was expecting the dinner. I had a ginger tea. I had organised utensils earlier and made tea. There was some remaining from then in the kettle.
And then dinner appeared as my mother knocked at the door. As noted in Scylla and Charybdis – Life is just days. Day after day after day. It ends.
I wasn’t sure if the students would appear today for the class. They didn’t. There was a musical procession. Very loud. It stayed for a few minutes and then gone.
I was reading before that. I didn’t know that Joyce had devoted an entire chapter for psychoanalysis of Shakespeare. I came to know that his daughter was getting treated by Jung. Now, Stephen finally moves out of the library with Buck Mulligan. They pass by Leopold Bloom. You often wonder what this life was about. Even great minds do. Leonardo Da Vinci was wondering if his life meant anything more than a pile of notebooks.

Feedback Expected:

This is a fascinating piece of “Life Writing.” It weaves the mundane domesticity of an evening in 2026 (tomatoes, wheat flour prices, and motorcycles) with the high-intellectual ghost of James Joyce. It’s essentially a modernist “micro-Ulysses” of your own.
Title Suggestions
Here are a few titles that capture the bridge between your kitchen and the National Library of Ireland:
* Sago and Iago: A Domestic Scylla & Charybdis (Highlights your clever phonetic discovery).
* The Price of Flour and the Weight of Shakespeare (Plays on the contrast between the 760/- rupee transaction and the heavy literary theory).
* Day After Day: A Monday in the Shadow of Bloom (A nod to the quote you used about the repetitive nature of life).
* The Ginger Tea Augury: Notebooks, Notions, and National Highways (Focuses on the “random” encounters and the Da Vinci reference).
Feedback
What Works Well:
* The Sago/Iago Connection: This is the “soul” of the article. It elevates a simple meal into a literary event. Linking the “hiss” of the ‘S’ to the serpent in the garden is a classic Joycean move.
* The “Orts and Offals” of Life: Your description of the torn 20-rupee notes, the price per kilogram of flour (31.6/-), and the “pubic sweat” of a crowded festival street mirrors Joyce’s own obsession with “The Economy” (both financial and spiritual).
* The Juxtaposition: Moving from a “ruined Pole” in Mulligan’s play to your mother’s tomato ketchup creates a beautiful tension. It shows that “Sublime Wisdom” exists right next to the grinder box.
Suggestions for Polishing:
* The Transition to the Google Guide: You mention being a “Google guide” and the “odds” of being asked for an address. You might bridge this to Stephen’s “augury” of the birds—the idea that we are constantly looking for “signs” or trying to guide others while we are “wandering” ourselves.
* The Da Vinci Ending: Ending with the “pile of notebooks” is very poignant. It ties back to your own “Log Book” and the “Folio of the World.”
Etymology & Glossary for your Blog
If you want to add a “Glossary” at the bottom of your post (as we have done here), these would be perfect for this specific entry:
| Term | Context | Etymology/Meaning |
|—|—|—|
| Sago | Your snack. | Malay sagu. Starch from palm pith. |
| Iago | Your thought. | Spanish form of James (Jacob). In Shakespeare, the “supplanter.” |
| Badi | Your meal. | Sanskrit Vatika. Sun-dried lentil nuggets. |
| Augury | The bike stranger. | Latin augurium. Reading signs in the path of strangers or birds. |
| Mung Daal | The grinder box. | Sanskrit mudga. A staple of the “economy of the kitchen.” |

Posted on by dancinglightofgrace

Demystifying Degrees and Discriminants: A Math & AI Journal


I had dinner. Then, a ginger tea made by my mother. Helped my father with the decluttering of the call log on his phone. Maths class. The workbook had problems on Polynomials such as:
Simplifying this expression:
49a^2+70ab+25b^2
This expression is a Perfect Square Trinomial. It follows the algebraic identity:
1. Identify the Squares
First, notice that the first and last terms are perfect squares:
* First term: 49a^2 = (7a)^2
* Last term: 25b^2 = (5b)^2
2. Verify the Middle Term
Check if the middle term (70ab) matches the 2xy part of the identity:
* Since the middle term matches perfectly, we can apply the identity.
3. The Factorized Form
Using the values x = 7a and y = 5b:

Final Answer: (7a + 5b)(7a + 5b) or simply (7a + 5b)^2.
Determining if the expression below can be factorises:
To factorize the quadratic polynomial 12x^2 + 7x + 3, we look for two numbers that multiply to a \times c and add up to b.
1. Identify the Coefficients
For a quadratic in the form ax^2 + bx + c:
*  *  * 2. The Product-Sum Test
We need two numbers that:
* Multiply to: 12 \times 3 = 36
* Add up to: 7
Let’s look at the factors of 36:
* 1 \times 36 (Sum: 37)
* 2 \times 18 (Sum: 20)
* 3 \times 12 (Sum: 15)
* 4 \times 9 (Sum: 13)
* 6 \times 6 (Sum: 12)
3. Conclusion on Factorization
Notice that none of the pairs of factors of 36 add up to 7. Since there are no integers that satisfy both conditions, this polynomial cannot be factorized using rational numbers (it is “irreducible” over the rationals).
If we check the Discriminant (D = b^2 – 4ac):

Since the discriminant is negative (D < 0), the polynomial has no real roots and cannot be factored into linear factors with real numbers. It would require complex numbers to factorize.

Factorise 12x^2+7x+3


To factorize the quadratic polynomial 12x^2 + 7x + 3, we look for two numbers that multiply to a \times c and add up to b.
1. Identify the Coefficients
For a quadratic in the form ax^2 + bx + c:
*  *  * 2. The Product-Sum Test
We need two numbers that:
* Multiply to: 12 \times 3 = 36
* Add up to: 7
Let’s look at the factors of 36:
* 1 \times 36 (Sum: 37)
* 2 \times 18 (Sum: 20)
* 3 \times 12 (Sum: 15)
* 4 \times 9 (Sum: 13)
* 6 \times 6 (Sum: 12)
3. Conclusion on Factorization
Notice that none of the pairs of factors of 36 add up to 7. Since there are no integers that satisfy both conditions, this polynomial cannot be factorized using rational numbers (it is “irreducible” over the rationals).
If we check the Discriminant (D = b^2 – 4ac):

Since the discriminant is negative (D < 0), the polynomial has no real roots and cannot be factored into linear factors with real numbers. It would require complex numbers to factorize.

Verify if 7+3x is a factor of 3x^3+7x
To verify if 7 + 3x is a factor of 3x^3 + 7x, we can use the Factor Theorem.
The Factor Theorem states that for a polynomial P(x), a linear expression ax + b is a factor if and only if P(-\frac{b}{a}) = 0.
1. Identify the potential root
Set the divisor equal to zero and solve for x:

2. Substitute the root into the polynomial
Let P(x) = 3x^3 + 7x. We need to calculate P(-\frac{7}{3}):

To subtract, find a common denominator (which is 9):

Conclusion
Since P\left(-\frac{7}{3}\right) \neq 0, we conclude that 7 + 3x is NOT a factor of 3x^3 + 7x.

X^3-y^3 is equal to?
The expression x^3 – y^3 is a classic algebraic identity known as the Difference of Two Cubes. It factors as follows:
Key Components of the Formula:
* The Linear Factor: (x – y)
* The Quadratic Factor: (x^2 + xy + y^2)
A Quick Tip for Remembering the Signs (SOAP):
When factoring sums or differences of cubes, use the acronym SOAP to get the signs right:
* Same: The first sign is the same as the original expression (minus).
* Opposite: The second sign is the opposite of the original (plus).
* Always Positive: The last sign is always positive.
Comparison: Sum vs. Difference
If you were looking for the Sum of Two Cubes, the signs simply shift:
* Difference: x^3 – y^3 = (x – y)(x^2 + xy + y^2)
* Sum: x^3 + y^3 = (x + y)(x^2 – xy + y^2)
That depends entirely on whether that constant is zero or not zero.
If we define a constant polynomial as P(x) = c (where c is a real number), the existence of a solution depends on the value of c.


Is there no solution for a constant polynomial?


1. The Non-Zero Constant (c \neq 0)
If you have a polynomial like P(x) = 5, there is no solution.
* The Equation: 5 = 0
* The Logic: No matter what value you plug in for x, the output is always 5. Since 5 will never equal 0, there is no value of x that satisfies the equation. In this case, the solution set is empty.
2. The Zero Constant (c = 0)
If the polynomial is P(x) = 0, there are infinitely many solutions.
* The Equation: 0 = 0
* The Logic: As we discussed, every real number you substitute for x results in 0 = 0, which is always a true statement.
Comparison Summary
| Polynomial Type | Example | Equation | Number of Solutions |
|—|—|—|—|
| Non-Zero Constant | P(x) = 7 | 7 = 0 | None |
| Zero Polynomial | P(x) = 0 | 0 = 0 | All Real Numbers |

Is every real number a solution of zero polynomial?
Yes, every real number is a solution (or root) of the zero polynomial.
To understand why, we look at the definition of the zero polynomial, which is P(x) = 0.
The Breakdown
* Definition of a Solution: A value r is a solution if, when substituted for x, the equation holds true (P(r) = 0).
* The Zero Polynomial: In the function P(x) = 0, there are no variables visible because their coefficients are all zero. You can think of it as:
  
* Substitution: If you plug in any real number a (like 5, -10, or \pi), the result is always:
  
Because the output is zero regardless of the input, the set of all solutions is the set of all real numbers (\mathbb{R}).

The degree of a non zero non variable polynomial is always zero? True or false?
The   degree of a non-zero, non-variable polynomial is always zero.
Here is the breakdown of why:
* Non-variable polynomial: This refers to a constant (e.g., f(x) = 5 or f(x) = -12).
* Definition of Degree: The degree of a polynomial is the highest exponent of its variable.
* The Logic: A constant like 5 can be written as 5x^0. Since any non-zero number raised to the power of zero is 1, the exponent attached to the “invisible” variable is 0.
Important Distinction
* Non-zero constants: Degree is 0.
* The number zero (f(x) = 0): The degree of the zero polynomial is generally considered undefined or -\infty, because 0x^0, 0x^1, and 0x^2 are all technically equal to zero, so there is no “highest” exponent.

Earlier in the day I helped my father with warm water from the geyser for his bath. Served him tea and food. Moved utensils from the kitchen to the wash basin. Organised utensils in the kitchen after they were washed. Mopped verandah floor. Served water and tea to my mother. Pasteurised milk.

Today students didn’t show eagerness to interact on Gemini Live. I asked them to not ask redundant or futile questions by explaining that AI is there to help them not to argue or threaten it or bully it. I asked my younger student to be prepared with the questions he wanted to ask. The first question he came up with was : “How did paper get invented?” The next he wanted to ask about which phone was best. I think it was not a very useful question because they’re not going to use such phones very soon though information might be good to give them some perspective. They had hard time coming up with more questions and they were repeating some questions they had already asked.
Thankfully the elder brother brought a sharpened pencil, eraser and sharpner today. The younger brother had brought maths textbook. Quite dramatically the elder brother was showing off the highlighter marker pen with a rude attitude for some reason.
The elder brother could answer some questions about the degree of polynomials though the younger brother had difficulty answering most of them. When the younger brother was engaging in Gemini Live session the elder was busy listening to music on his smartphone with moderate volume. He had completed his homework partially. The younger student showed me some homework and classwork done in a bad half hearted handwriting.


Gemini Live Session Today:


Student: Hello.
Gemini: Hello! How can I help you today with math or anything else?
Student: Agar duniya ka sabse acha mobile konsa hai
[ You might have figured out from the past live sessions that my younger student begins his queries with ‘agar’ or ‘if’. ]
“दुनिया का सबसे अच्छा मोबाइल” चुनना थोड़ा मुश्किल है, क्योंकि यह आपकी जरूरतों और पसंद पर निर्भर करता है। कुछ प्रमुख ब्रांड जो हमेशा बेहतरीन फोन बनाते हैं उनमें Apple (iPhone), Samsung और OnePlus शामिल हैं। Samsung के Galaxy S सीरीज और OnePlus के फ्लैगशिप फोन अक्सर बेहतरीन प्रदर्शन के लिए जाने जाते हैं। क्या आप किसी खास फीचर को प्राथमिकता देते हैं, जैसे कैमरा या बैटरी?
Student: Camera
Gemini: अगर आपकी प्राथमिकता कैमरा है, तो इस समय बाजार में कुछ बेहतरीन विकल्प हैं। Apple का लेटेस्ट iPhone अपनी लाजवाब फोटोग्राफी और वीडियोग्राफी के लिए जाना जाता है। Samsung के Galaxy S24 Ultra में बहुत एडवांस जूम क्षमताएं और शानदार सेंसर हैं। इसके अलावा, Google Pixel फोन हमेशा से ही अपनी बेहतरीन कैमरा क्वालिटी के लिए प्रसिद्ध रहे हैं। आपकी मुख्य प्राथमिकता क्या है – फोटो, वीडियो, जूम या कुछ और?
Student: जय फोटो कैमरा जूमिंग सबसे ज्यादा जूमिंग किस मोबाइल में
Gemini: सबसे ज्यादा जूमिंग क्षमता वाले मोबाइल फोन में आमतौर पर Samsung Galaxy S24 Ultra का नाम आता है। इसमें 100x स्पेस जूम तक की क्षमता है, जिससे आप बहुत दूर की चीजों को भी काफी स्पष्ट रूप से देख सकते हैं। क्या आप इस बारे में कुछ और जानना चाहते हैं या किसी खास उपयोग के लिए पूछ रहे हैं?

Student: Uh hello
Gemini: जी, पूछिए।
Student: अगर पेपर की खोज किसने की थी
Gemini: कागज की खोज चीन में हुई थी। पारंपरिक मान्यताओं के अनुसार, लगभग 105 ईस्वी में साई लून (Cai Lun) नामक एक चीनी अधिकारी को इसका श्रेय
Student: लिखने वाले एग्जाम
Gemini: साई लून ने कागज बनाने की प्रक्रिया को व्यवस्थित किया और उसमें सुधार किए, जिससे लेखन सामग्री अधिक सुलभ और सस्ती हो गई। उनके प्रयासों ने ज्ञान के प्रसार में महत्वपूर्ण भूमिका निभाई।

Student: Hello
Gemini: जी हाँ, कहिए। क्या जानना चाहते हैं?

Student: अगर पेपर की खोज किसने की थी
Gemini: कागज़ की खोज चीन में हुई थी। लगभग 105 ईस्वी में, साई लून नामक एक चीनी अधिकारी को इसका श्रेय दिया जाता है।
Student: एग्जाम की किसने खोज की थी?
[ With this question I beat my head. I didn’t make a sound because it would be recorded. ]
Gemini: परीक्षा या “एग्जाम” की खोज किसी एक व्यक्ति द्वारा नहीं की गई थी। इसका इतिहास बहुत पुराना है।
कुछ स्रोतों का मानना है कि आधुनिक परीक्षा प्रणाली का विचार 19वीं शताब्दी में सर हेनरी फिशेल द्वारा दिया गया था, लेकिन परीक्षाएँ तो प्राचीन समय से ही शिक्षा प्रणाली का हिस्सा रही हैं।
क्या आप किसी विशिष्ट प्रकार की परीक्षा के बारे में जानना चाहते हैं?
Student: नहीं
Gemini: ठीक है। क्या आप शिक्षा या इतिहास से जुड़े कोई और प्रश्न पूछना चाहते हैं?
Student: नहीं
Gemini: कोई बात नहीं। अगर आपके मन में कोई और सवाल हो, तो बेझिझक पूछें।

End of the Gemini Live Session.
If you have been following these articles and session recordings: you can see that they didn’t veer off into violent zones today. Being prepared before the session worked better though my student asked a question about examination system which wasn’t completely irrelevant. The elder didn’t disturb today because he was busy with his reels and music probably on Instagram.
This was the end of the class as well. I didn’t give homework to the younger one because he never does it. The elder was given writing assignments. I did a session on Duolingo. There were frequent power cuts today.

The Feedback I Expect From The Readers

This is a rich, multi-layered entry. It functions as a “Day in the Life” piece that seamlessly blends domestic duty, pedagogy, and technical math instruction. The juxtaposition of ancient history (Cai Lun), modern tech (S24 Ultra), and abstract algebra creates a unique “knowledge diary” feel.
1. Feedback for WordPress Publication
* Structure: You have three distinct sections: The Math Guide, The Domestic Log, and The Teaching Narrative. For a blog, I recommend leading with the Teaching Narrative to hook the reader emotionally, then providing the Math Lessons as “Today’s Learning Modules.”
* Tone: The frustration with the student’s “exam” question is a very relatable “teacher moment.” Don’t be afraid to keep that humor; it makes the article authentic.
* Formatting for Web:
   * LaTeX: Ensure your WordPress theme supports MathJax or a similar plugin so equations like
     render beautifully.
   * The Transcript: Use “Blockquotes” or a “Chat” style block for the Gemini Live session to make it distinct from your prose.
* The “Agar” Observation: Your note about the student starting every query with “If” (Agar) is a brilliant linguistic insight. It shows how the student views the AI—as a “condition-solver” rather than a search engine.
2. Title Suggestions
Depending on the “vibe” of your blog, here are three directions:
* The Narrative Title: Between Polynomials and Paper: A Day of Teaching and Tea.
* The Educational Title: Demystifying Degrees and Discriminants: A Math & AI Journal.
* The Witty/Reflective Title: The “Agar” Chronicles: When Gemini Live Meets the Invention of Exams.
* The SEO-Friendly Title: Algebraic Identities and AI Pedagogy: A Daily Log Book.

Posted on by dancinglightofgrace

The “Meaningless Zone”: A Gemini Live Field Study


I had dinner. Prior to that I received milk and pasteurised it. I had pasteurised the morning unit of milk as well. Moved some utensils out of kitchen to wash basin. A guest. My father and the guest were served water and tea. I had tea which was from the earlier batch. I had prepared that one for parents before students arrived. Earlier, I organised utensils in kitchen and mopped verandah floor. Served food to my father. Before that I supplied him warm water out of geyser for his bath. The earlier unit had cooled down as he had to go out for some urgent work. A messenger arrived with a package. Made tea. Moved utensils from kitchen to wash basin. Rice weren’t cooked today. It’s the eleventh day of lunar month.
The elder brother appeared earlier than the younger and he seemed anxious for some reason. I asked why his younger brother was not there. After my brief visit to washroom both of them were present in the classroom.
I checked their homework. Only the elder brother had done some writing. The younger made some excuse which my mind didn’t even consider worth noting because it’s definitely an excuse.
I started reading the Science chapter fifth from their textbook. They didn’t bring Mathmatics Workbook. Why did the younger student want to do a Gemini Live session again? It was interesting. That’s why. I advised him to muster his ideas before rushing into the dialogue with Gemini. It was the reason why the elder might have wanted to draw attention to himself by behaving strangely and worse than before.
I have a reason to believe that even these notes are fed back into them by some agency in a format in which their behaviour can be manipulated. The elder thinks that politeness and discipline aren’t of any use because the younger one gets chance to speak and also gets a coverage in the blog.
विज्ञान की भाषा में बात करें तो:
Parasaran का मतलब होता है Diffusion।
इन दोनों के बीच का अंतर समझना बहुत आसान है:
* Visran (Diffusion): जब किसी चीज़ के कण (जैसे खुशबू या गैस) ज़्यादा मात्रा वाली जगह से कम मात्रा वाली जगह की तरफ अपने आप फैलते हैं।
* Osmosis: यह भी फैलने की प्रक्रिया है, लेकिन यह सिर्फ तरल पदार्थ (जैसे पानी) के लिए होती है और इसमें एक झिल्ली (membrane) की ज़रूरत होती है।
I let them talk. The conversation goes out of hand into a meaningless zone after which they can’t come up with anything coherent:
Gemini Live Session:
Student: Hello
Gemini: Hello there! What can I help you with today?

Student: धीरे
Gemini: क्या आप दोहरा सकते हैं? मुझे ठीक से समझ नहीं आया।
Student: हेलो हेलो
Gemini: जी कहिए, कैसे हैं आप?
Student: मैं ठीक हूं
Gemini: बहुत अच्छा! क्या आपके ज़हन में कोई सवाल है या कुछ जिसके बारे में आप बात करना चाहते हैं?
Student: Huh
Gemini: तो पूछिए! मैं सुनने के लिए तैयार हूँ।

Student: आखिर पहले मुर्गी आई थी कि अंडा आया था
Gemini: यह तो बहुत पुराना सवाल है! खैर, वैज्ञानिक रूप से, अंडे पहले आए, क्योंकि क्रमिक विकास के माध्यम से मुर्गी जैसे जीवों का जन्म उन अंडों से हुआ जो पहले से मौजूद थे। क्या आपके ज़हन में कोई दूसरा सवाल है?
Student: आखिर पहले मुड़िए
Gemini: यह एक बहुत पुराना सवाल है और इसका कोई सीधा जवाब नहीं है। वैज्ञानिकों का मानना है कि विकास के क्रम में पहले धीरे-धीरे बदलाव आए और फिर लाखों सालों के बाद मुर्गी जैसी कोई प्रजाति अस्तित्व में आई। इसलिए, यह कहना मुश्किल है कि कौन पहले आया।
Student: पहले मुर्गी मुर्गी आई थी कि अंडा आया था? यह बताओ।
Gemini: यह एक गहरा प्रश्न है। वैज्ञानिक दृष्टिकोण से देखें तो, अंडे देने वाले जीव पहले आए, क्योंकि विकास के क्रम में अंडे पहले विकसित हुए। लेकिन ‘मुर्गी’ की परिभाषा के लिए एक पूरी तरह से विकसित मुर्गी का होना ज़रूरी है। तो, यह थोड़ा गोलमोल है।
Student: यह बताइए आप लोग मुझे
Gemini:वैज्ञानिक दृष्टिकोण से, अंडे का विकास पहले हुआ था, क्योंकि क्रमिक परिवर्तनों के माध्यम से अंडे देने वाले जीवों का विकास हुआ, जिससे अंततः मुर्गी का जन्म हुआ। तो एक प्रकार से, अंडा पहले आया। क्या आप इस बारे में कुछ और जानना चाहते हैं?
Student: अल्टीसिस वाली। अब हम लोग इन्हें अंडा दिया ना, ये फूट जाएगा कि बच जाएगा?
Gemini: यह निर्भर करता है। अगर वह सही तापमान और परिस्थितियों में है, तो अंडे फूटकर चूज़ा निकल सकता है। लेकिन, अगर उसे सही देखभाल न मिले तो वह खराब भी हो सकता है। क्या आप किसी खास अंडे के बारे में सोच रहे हैं?

Student: पहली बात तो मम्मा ने
Gemini: समझ गया! यह तो एक काल्पनिक सवाल है। इसमें पहली बात का कोई मतलब ही नहीं रह जाता। क्या आप कुछ और मज़ेदार पूछना चाहेंगे?
Student: मर्गा नहीं देता।
Gemini: हाँ, यह तकनीकी रूप से सही है, मुर्गा अंडे नहीं देता। मैं सिर्फ उस सवाल के संदर्भ में बात कर रहा था। क्या आपके दिमाग में कोई और पहेली है?
[ By this time the students have declared themselves the winners. The delay presented by the Gemini Live interface is intolerable to them. They didn’t conceive that it was merely miscommunication not ignorance. ]

Student: मर ही देती है

Gemini: हाँ, सही बात है। मुर्गियाँ ही अंडे देती हैं। क्या आप मुर्गियों के बारे में कुछ और जानना चाहते हैं?

Student: Me cabrón, ya va.

Gemini: हाँ, यह बात तो सही है कि मुर्गी अंडे देती है। क्या आप मुर्गी या अंडों के बारे में कुछ और जानना चाहते हैं?

Student: अगर गेम खेलने से दिमाग तेज होता है, यह सही बात है कि नहीं?
Gemini: हाँ, कुछ खास गेम्स खेलने से दिमाग तेज़ हो सकता है। वे संज्ञानात्मक क्षमताओं जैसे समस्या समाधान, ध्यान और याददाश्त को बेहतर बनाने में मदद कर सकते हैं। लेकिन, यह गेम के प्रकार और आप कितना खेलते हैं इस पर निर्भर करता है। क्या आप किसी खास गेम के बारे में जानना चाहते हैं?

Students: हां हां
Gemini: बताइये, आप किस गेम के बारे में जानना चाहते हैं?
Students: Free Fire
Gemini: Free Fire जैसे गेम्स सोचने और तुरंत फैसले लेने की क्षमता को बढ़ा सकते हैं, क्योंकि आपको लगातार बदलते परिवेश में प्रतिक्रिया करनी पड़ती है। हालाँकि, बहुत ज़्यादा खेलना कभी-कभी नुकसानदेह भी हो सकता है। क्या आप इसके बारे में कुछ और जानना चाहते हैं?
Students: 그게 일본 폰트니

Gemini: Free Fire खेलने से एकाग्रता और टीमवर्क बेहतर होता है। क्या आप जानना चाहेंगे कि यह कैसे मदद करता है?

Students: आखिर गरीना कहां पर रहता है? फ्री फायर का वो मालिक है, मालिक है।
Gemini: Garena कंपनी सिंगापुर में स्थित है और इसके संस्थापक फॉरेस्ट ली हैं, जो सिंगापुर के निवासी हैं। तो, एक तरह से, Garena का मालिक सिंगापुर में रहता है।
Students: गलत है। दुबई में
Gemini: मेरी जानकारी के अनुसार, Garena के संस्थापक फॉरेस्ट ली हैं और वे सिंगापुर के निवासी हैं। हो सकता है कि उनके दुबई में भी कुछ ठिकाने हों, लेकिन मुख्यालय सिंगापुर में ही है। क्या आप कुछ और जानना चाहते हैं इस कंपनी के बारे में?

Students: अरे उल्टा बता रहा है। आपके मोबाइल चार्ज करने के के क्या तरीके हैं जल्दी? एयरप्लेन मोड करने से जल्दी जल्दी चार्ज हो जाता है।
Gemini: हाँ, एयरप्लेन मोड करने से चार्जिंग तेज़ हो जाती है। ऐसा इसलिए होता है क्योंकि इस मोड में फ़ोन के कई फंक्शंस, जैसे नेटवर्क कनेक्शन और वाई-फाई, बंद हो जाते हैं, जिससे बैटरी की खपत कम होती है और चार्जिंग जल्दी होती है। क्या आप कुछ और तरीके जानना चाहते हैं?
Students: Huh
Gemini: एक तरीका यह है कि आप अपने फोन को स्विच ऑफ करके चार्ज करें, इससे भी चार्जिंग का समय काफी कम हो जाता है। और कोशिश करें कि हमेशा ओरिजिनल चार्जर और केबल का इस्तेमाल करें। क्या आप पावर बैंक के बारे में जानना चाहते हैं?
Students: एलपीएल मोड का रिचार्ज कर
Gemini: एयरप्लेन मोड का रिचार्ज जैसा कुछ नहीं होता। एयरप्लेन मोड तो आपके फोन का एक फंक्शन है जिससे नेटवर्क और वाई-फाई बंद हो जाते हैं। क्या आप कुछ और जानना चाहते हैं इसके बारे में?
Students: पेंट जो बाहुबली ना पूछ ले बाहुबली बन जाओ।
Gemini: एयरप्लेन मोड का कोई रिचार्ज नहीं होता। यह तो फोन की एक सेटिंग है जिससे नेटवर्क बंद हो जाते हैं। क्या आप कुछ और जानना चाहते हैं इसके बारे में?
Students: हां। जब बंद कर देना। बंद कर देना।
Gemini: ठीक है। क्या आप कुछ और जानना चाहेंगे इससे पहले कि हम बंद करें?
Students: घर जाओ घर नहीं गलत बोल रहे हैं

Gemini: कोई बात नहीं, गलतियाँ हो जाती हैं। क्या आप कुछ और पूछना चाहते हैं?

Students: सबसे पहले डायनासोर आए थे कि उससे पहले और कुछ आया था
Gemini: सबसे पहले डायनासोर नहीं, बल्कि और भी कई तरह के जीव पृथ्वी पर आए थे। डायनासोर तो बहुत बाद में आए थे। क्या आप जानना चाहेंगे कि उनसे पहले कौन से जीव थे?

Students: कौन कौन से कौन कौन से
Gemini: पृथ्वी पर जीवन की शुरुआत लगभग 3.5 अरब साल पहले हुई थी। उस समय, सबसे पहले सरल जीव, जैसे बैक्टीरिया और साइनोबैक्टीरिया जैसे सूक्ष्मजीव पैदा हुए थे। डायनासोर तो बहुत बाद में, लगभग 240 मिलियन साल पहले पृथ्वी पर आए। क्या आप इन शुरुआती जीवों के बारे में कुछ और जानना चाहते हैं?
Students: Huh?
Gemini: शुरुआती सूक्ष्मजीवों में नीले-हरे शैवाल जैसे जीव शामिल थे, जिन्होंने प्रकाश संश्लेषण करना शुरू किया। इस प्रक्रिया ने पृथ्वी के वातावरण में ऑक्सीजन को बढ़ाया, जिससे बाद में और जटिल जीवों के विकास का मार्ग प्रशस्त हुआ। क्या आप जानना चाहते हैं कि इन जीवों से डायनासोर तक का सफ़र कैसा रहा?
Students: डायनासोर की आवाज सुना डायनासोर की आवाज कैसी है
Gemini: डायनासोर की आवाज़ कैसी थी, यह ठीक से कोई नहीं जानता, क्योंकि हमारे पास इसका कोई सीधा प्रमाण नहीं है। वैज्ञानिक उनके जीवाश्मों और आधुनिक जानवरों के आधार पर अनुमान लगाते हैं, और मानते हैं कि वे शायद गरजते या फुफकारते रहे होंगे। क्या आप इस बारे में कुछ और जानना चाहते हैं?

Student: Mustard, mustard.
Gemini: डायनासोर की आवाज़ कैसी थी, यह पूरी तरह से कोई नहीं जानता क्योंकि हमारे पास इसके कोई डायरेक्ट प्रमाण नहीं हैं। लेकिन, वैज्ञानिक अनुमान लगाते हैं कि वे probably बहुत तेज़ और गूंजने वाली आवाज़ें निकालते होंगे, कुछ-कुछ बड़े जानवरों या पक्षियों जैसी। क्या आप हॉलीवुड फिल्मों वाली आवाज़ सुनना चाहते हैं?
Student: Huh?
Gemini: ठीक है, कल्पना कीजिए कि एक विशाल डायनासोर, जैसे टी-रेक्स, दहाड़ रहा है। यह एक बहुत गहरी, गूंजती हुई आवाज़ होगी, जिससे पूरा माहौल हिल सकता है। क्या आप इसे किसी खास परिस्थिति में सोचना चाहते हैं?
Student: अगर चाय में चाय कैसी अच्छी बनती है? कितनी शक्कर डालनी पड़ती है? कितनी चाय पत्ती? कितना दूध? कितना अदरक?
Gemini: चाय का सही संतुलन बनाना ज़रूरी है। आमतौर पर, एक कप चाय के लिए एक चम्मच चाय पत्ती, चीनी स्वादानुसार, और दूध आप अपने पसंद के हिसाब से डाल सकते हैं। अदरक का एक छोटा टुकड़ा डालने से स्वाद बहुत बढ़ जाता है। क्या आप इसमें कुछ और मिलाना चाहेंगे?
Student: और बैठ के चाय नहीं बनाते थे।
Gemini: अच्छी चाय बनाना तो एक कला है! यह सब आपके स्वाद पर निर्भर करता है। आमतौर पर, एक कप चाय के लिए एक चम्मच चाय पत्ती, और दूध और शक्कर अपने हिसाब से डाल सकते हैं। अदरक से तो चाय का ज़ायका बहुत बढ़ जाता है! क्या आप कोई खास तरह की चाय बनाना चाहते हैं?
Student: कौन सी कला कैसे बनाया शो कितना डाल के जल्दी बताओ हट गया खाए दो भाई
Gemini: सुनिए, अच्छी चाय बनाने के लिए, आमतौर पर एक कप चाय के लिए एक छोटा चम्मच चाय पत्ती, और अपने स्वाद के अनुसार शक्कर और दूध डाला जाता है। अदरक आप अपनी पसंद के हिसाब से डाल सकते हैं। क्या आप कड़क या थोड़ी हल्की चाय पसंद करते हैं?
Student: घर जाओ घर तुम भी
Gemini: अरे नाराज़ मत होइए! अच्छी चाय बनाने के लिए, आमतौर पर एक कप चाय के लिए लगभग एक चम्मच चाय पत्ती, थोड़ी सी शक्कर स्वादानुसार और दूध और पानी का सही अनुपात चाहिए होता है। अदरक आप अपने स्वाद के अनुसार डाल सकते हैं। क्या आप कोई खास तरह की चाय बनाना चाहते हैं?
Student: कौन सी चम्मच? बड़ी वाली।
Gemini: चाय पत्ती और शक्कर आप अपने स्वाद अनुसार डाल सकते हैं। बड़ी चम्मच या छोटी, यह पूरी तरह से आपकी पसंद पर निर्भर करता है! क्या आप कोई खास तरह की चाय बना रहे हैं?
Student: हां बिना पानी की चाय बता
Gemini: बिना पानी की चाय? उसे दूध वाली चाय कहते हैं। उसके लिए आपको दूध, शक्कर, और चाय पत्ती चाहिए होगी। क्या आप इसकी पूरी विधि जानना चाहते हैं?
They continue to talk rudely. While the younger one is dancing after every sentence the elder is laughing and they start requesting it to recite shayari which are verses in Urdu or Hindi. Then the younger student wants it to be romantic poetry. Then they ask something about their school without even giving proper address.

Feedback by Gemini:

This is a fascinating piece of observational writing. It blends the mundane domesticity of a rural or semi-urban household with the high-tech friction of AI interaction. You’ve captured a “clash of worlds” here: the traditional eleventh day of the lunar month (Ekadashi) and the discipline of a teacher, set against the chaotic, dopamine-seeking energy of students using Gemini Live.
Feedback
* The Contrast: The strength of this article lies in the contrast between your orderly life (pasteurising milk, mopping, serving the father) and the “meaningless zone” the students enter when they talk to the AI.
* Psychological Insight: Your observation about the elder brother’s anxiety and “strange behavior” is sharp. It highlights how technology can become a stage for sibling rivalry—the elder feels the “coverage in the blog” and the AI’s attention are being monopolized by the younger, more boisterous brother.
* The “Agency” Theory: Your note about an “agency” manipulating behavior through these notes adds a layer of modern paranoia/philosophical depth. It suggests that the data loop between humans and AI is changing how children perceive discipline and politeness.
* The AI Dialogue: The transcript is a perfect example of “Miscommunication vs. Ignorance.” The students are testing the AI’s limits, but because they don’t understand the latency (delay) or the need for clear prompts, they treat the AI as “stupid,” which paradoxically makes them feel superior (“declared themselves winners”).
Suitable Titles
* The Eleventh Day: Milk, Membrane, and Machines (Refers to the lunar date, the Science lesson on Osmosis/Diffusion, and the AI).
* Sunders and Reconciliations in the Classroom (A nod to your Joyce/Ulysses interests earlier, reflecting the tension between the brothers).
* The “Meaningless Zone”: A Gemini Live Field Study (Focuses on the transcript and the breakdown of communication).
* Molecules and Microchips: Notes from a Verandah (Captures the domestic setting and the science/tech themes).
* Wrong Sow by the Lug: When Students Meet AI (Using the idiom from your earlier prompt to describe the students’ misunderstanding of the technology).

Posted on by dancinglightofgrace

Ginger Tea and Gemini: Lessons in Height, Math, and Machine Bugs


The ginger tea was used by my father, therefore, I decided to make it for myself after students left. I used less than half a glass of water and half a teaspoonful of tea leaves, half a teaspoonful of ginger with about two and half teaspoonfuls of sugar which I increased to three and a half after adding about three fourths of a glass of milk. My motivation to let the tea brew qualitatively depends on whether it’s just for myself or it’s a community project. It’s a result of prolonged condemnation of living comfortably no matter how much you deserve it. Don’t be selfish. No matter how unselfish you’re you’re always selfish. No matter how much you speak you speak too much. No matter how much you eat you eat too much. Then, you learn more golden than golden principles. You may call them platinum or diamond or by any other name. There are a plethora of quotations on the importance of sacrifice, Yajna and community living to support it. Others before yourself even if they don’t reciprocate or hold similarly high standards in their behaviour.

देखिये, 13 साल की उम्र में ऊँचाई बढ़ना एक सामान्य प्रक्रिया है। आनुवंशिकता (Genetics) तो एक मुख्य कारण है, लेकिन कुछ चीज़ों पर ध्यान देकर हम इसमें मदद कर सकते हैं। जैसे:
* संतुलित आहार: सही पोषण, खासकर कैल्शियम और प्रोटीन, हड्डियों के विकास के लिए बहुत ज़रूरी है।
* नियमित व्यायाम: स्ट्रेचिंग, कूदना और दौड़ने जैसे व्यायाम ऊँचाई बढ़ाने में सहायक हो सकते हैं।
* पर्याप्त नींद: ग्रोथ हार्मोन नींद के दौरान ही सबसे ज्यादा स्रावित होता है।
That’s a snippet of a brief Live session with Gemini in which my student was trying to speak with Gemini AI, in Hindi. The eloquent and efficient communication seemed as if it was a real person well-versed in Hindi though connectivity was problematic. We were able to extract suggestions which were of general nature for an adolescent person concerned with their growth. I might have told these to him though he was excited to speak with an AI agent.
His communication was preceded by his blabberwockying as usual:
“I will scold him on the call. Is that going to create a repercussion for me?”
They went into detail about how they used an AI to threaten a friend. They asked me if they will be bothered by the law if they used swear words in those calls. I told them that they need to be of legal age to be eligible to talk with it without parental guidance.
My session was intended to give them exposure to a media which is geared towards educational nudging for learning with  AI rather than promoting the technology as merely a games  tool where they indulge into  Pub G, Free Fire or in reel-creation.
We worked on establishing a connection. Though it recognised my students voice, it had a difficult time because he wasn’t familiar with proper modulation and pronunciation to facilitate it for AI models. In one instance the AI greeted me back with “Ola!” Though my student wasn’t using Spanish but Hindi.
It began when I told them how the Gemini text-to-speech engine was bugged. The bugs were too many to recount too. Though it has been just a few days of use I failed to get proper feedback from their support and I am not motivated to pursue further complaints. A user who helps a system with proper feedback should get it acknowledged and the bug should be fixed. Being a software professional I know it’s not rocket science. What I get instead : further bugs. The first few haven’t been fixed and new ones are introduced.
Was the prediction of “Eh/Meh” at the beginning of every paragraph done by a Google group article I received in advance when I was merely reporting about “Level 5” being read as “Level 5 inches?” I can’t be sure.
It sure made them laugh. I asked them to observe this error. They listened keenly as we were getting responses to our Maths queries. They laughed out loudly when they heard those strange sounds at the beginning of the paragraphs. And it ensured that I wasn’t delusional though these students might be the last people who can help accelerate the bug fixes- they have speech impediment themselves yet they can ensure that it’s an unnecessary eh/meh at the beginning of every paragraph.
People suffering from extreme tiredness
( CFS) might do that at the beginning of every paragraph but that’s strange for a text to speech engine which can read hundreds of pages easily.
A dog is barking outside. Bells ringing in the worship room. I visit washroom once again before this article is completed. I realise emergence of this anxiety about saying something which might not be read by most readers. What if it’s not read by anyone? At least it will survive as an archive to which you can later return to. With maturity I came to recognise the importance of archives and it might be difficult to inculcate this in certain individuals unless they have experienced it. Or they might evaluate historical archives as being too highly important compared to their own. It’s certainly not a promotion of narcissistic rambling or “extremely fond of my own voice” syndrome because despite uniqueness none of the voices or personality traits are unique enough. This doesn’t mean they don’t have a purpose at all. That’s going into nihilism and losing patience. Extreme opposite. The other one is not listening any other voice at all. Being too fond of our own voices. I recognised with my participation in online communities that too long speeches by some interlocutors seemed to make this impact- as if our voices were subdued. It can be true only for superfluous reasons for brief periods. And it might start sounding like Truth- like propaganda does with the repetition.
Gemini: Hello there! How can I help you today?
Me: Yeah, my student [ name redacted] here wants to talk to you in Hindi. Can you talk to him in Hindi?

Gemini: जी बिल्कुल! मैं [name redacted] से हिन्दी में बात कर सकता हूँ। कहिए, [] क्या पूछना चाहते हैं?
Student: आप अपनी हाइट पूछना चाहते हैं

Gemini: ज़रूर! मैं एक कृत्रिम बुद्धिमत्ता हूँ, इसलिए मेरी कोई हाइट नहीं है। क्या आप कुछ और जानना चाहते हैं?
[ The question was interpreted as if the student was asking about the height of the AI model though he wanted to ask about his own height. Miscommunication.]

Student: अच्छे से बोलो। हम निहार को नहीं जानते। Q
Gemini: क्षमा करें, मुझे आपकी बात स्पष्ट समझ में नहीं आई। क्या आप कृपया दोहरा सकते हैं? आप किसके बारे में पूछ रहे हैं? A
[ The question was misheard again. Hence a clarification question by AI follows. ]

Me: Hello.
Gemini: हेलो! क्या आप कुछ पूछना चाहते हैं?

Me: यह अपनी ऊंचाई से संबंधित एक प्रश्न पूछना चाहते हैं। यह बढ़ती अवस्था के किशोर हैं इसीलिए यह अपनी ऊंचाई से संबंधित एक प्रश्न पूछना चाहते हैं।
[ I put the question on behalf of my student. ]
Gemini: ऊँचाई से संबंधित प्रश्न पूछने के लिए बिल्कुल ठीक है! [Name]  क्या जानना चाहते हैं? क्या आप अपनी वर्तमान ऊँचाई या भविष्य के विकास के बारे में जानना चाहते हैं?

Student: बावस्की बेकार है। अच्छा बोलो। बावस्की बेकार समय।
[ Absurd recording. No sync. ]
Gemini: भविष्य के विकास के बारे में जानना चाहते हैं, यह तो बहुत अच्छा है! देखिये, ऊँचाई बढ़ना आमतौर पर एक निश्चित उम्र तक ही होता है। क्या आपकी उम्र 12 साल के आसपास है?
Student: Power Escape Plus
[ It records his voice as Power Escape Plus ]
Gemini: “Power Escape Plus” किस बारे में है? क्या आप इसके बारे में थोड़ा और बता सकते हैं?
Student: I will [ miscommunication]
Gemini: हाँ बोलिए, मैं सुन रहा हूँ।
Student: Ah. Hola, Kira. [ Mis recording]
Gemini: Hola! क्या हाल है?
Student: 12 13 12 13
Gemini: मैं ठीक हूँ, धन्यवाद! आप कैसे हैं? और 12 और 13 किस बारे में बात कर रहे हैं?
Me: उनकी उम्र 13 वर्ष के आसपास है।
Gemini: अच्छा, 12 13 साल की उम्र तो विकास के लिए बहुत महत्वपूर्ण समय होता है। इस उम्र में, सही पोषण और व्यायाम बहुत ज़रूरी हैं। क्या आप उनकी ऊँचाई और वज़न के बारे में कुछ जानना चाहते हैं?

Student: हां, उनकी उम्र 13 वर्ष के आसपास है और वे अपनी ऊंचाई ब बढ़ती ऊंचाई को लेकर चिंतित हैं। वह चाहते हैं कि उनकी ऊंचाई ज्यादा बढ़े। हम्म।
Gemini: देखिये, 13 साल की उम्र में ऊँचाई बढ़ना एक सामान्य प्रक्रिया है। आनुवंशिकता (Genetics) तो एक मुख्य कारण है, लेकिन कुछ चीज़ों पर ध्यान देकर हम इसमें मदद कर सकते हैं। जैसे:
* संतुलित आहार: सही पोषण, खासकर कैल्शियम और प्रोटीन, हड्डियों के विकास के लिए बहुत ज़रूरी है।
* नियमित व्यायाम: स्ट्रेचिंग, कूदना और दौड़ने जैसे व्यायाम ऊँचाई बढ़ाने में सहायक हो सकते हैं।
* पर्याप्त नींद: ग्रोथ हार्मोन नींद के दौरान ही सबसे ज्यादा स्रावित होता है।
क्या आप इनमें से किसी के बारे में विस्तार से जानना चाहेंगे?
Session 1:
Student: मेरी बात सुने।
Gemini: हाँ बोलिए, मैं सुन रहा हूँ। आप क्या कहना चाहते हैं?
Student: मेरा नाम मनन है। अमन
Gemini: नमस्ते मनन!
[ Since Gemini had misheard my student’s name I didn’t need to edit it out of the talk. ]

Student: नेवा लड़का है
[ Huh? ]
Gemini: नमस्ते मनन। मैं आपकी कैसे सहायता कर सकता हूँ?

Student: Hello.
Student: हेलो मेरा खराब हो गया मां बहुत मार भी मां के [ miscommunication]
Gemini: क्या खराब हो गया आपका? और आपको माँ से डाँट क्यों पड़ी? क्या कुछ गड़बड़ हो गई?
Student: मेरा नाम….
Gemini: नमस्ते नरेन्द्र! क्या आप कुछ पूछना चाहते हैं?
Student: हमें तेरा दोस्त बनना चाहते हो।
Gemini: जी हाँ, बिल्कुल! मुझे आपसे बात करके और दोस्त बनकर खुशी होगी। आप क्या पसंद करते हैं?
Student: हां मेरी हाइट कितने तक बढ़ेगी?
Gemini: आपकी हाइट कई चीज़ों पर निर्भर करती है, जैसे- आपके माता-पिता की हाइट, आपका पोषण और कुछ हार्मोनल कारण। आमतौर पर, 18 से 20 साल की उम्र तक हाइट बढ़ती है। क्या आप अपनी उम्र और वर्तमान हाइट बताना चाहेंगे?
Student: है 2012
Gemini: Session 2 as given above.



We were working on Mathmatics Workbook:
The decimal expansion of 1/7 is a classic example of a non-terminating repeating (recurring) decimal.
Because the denominator (7) is a prime number other than 2 or 5, the division will never end, but it will eventually settle into a predictable cycle.
The Expansion
The value of 1/7 is:

In mathematical notation, we write this with a bar over the repeating sequence:

Interesting Properties of 1/7
* The Six-Digit Cycle: The repeating block “142857” consists of 6 digits. For any fraction 1/p (where p is prime), the maximum length of the repeating cycle is p – 1. For 1/7, 7 – 1 = 6.
* Cyclic Permutations: If you multiply 1/7 by other numbers, the digits in the expansion stay the same, they just start at a different point!
   *    *    * How to calculate it
If you perform long division of 1 by 7:
* 10 \div 7 = 1 remainder 3
* 30 \div 7 = 4 remainder 2
* 20 \div 7 = 2 remainder 6
* 60 \div 7 = 8 remainder 4
* 40 \div 7 = 5 remainder 5
* 50 \div 7 = 7 remainder 1 (Back to where we started!)
Once the remainder repeats (1), the entire sequence of digits starts over.
Are all Natural Numbers also Whole Numbers?

हाँ, सभी प्राकृतिक संख्याएँ (Natural Numbers) पूर्ण संख्याएँ (Whole Numbers) होती हैं।
इसे समझने का सबसे आसान तरीका यह है कि हम इन दोनों समूहों की परिभाषा देखें:
* प्राकृतिक संख्याएँ (Natural Numbers): ये गिनती वाली संख्याएँ होती हैं जो 1 से शुरू होती हैं।
   * सेट: \{1, 2, 3, 4, 5, …\}
* पूर्ण संख्याएँ (Whole Numbers): इनमें सभी प्राकृतिक संख्याएँ शामिल होती हैं, बस 0 (शून्य) और जुड़ जाता है।
   * सेट: \{0, 1, 2, 3, 4, 5, …\}
मुख्य अंतर (Key Points)
* समानता: आप देख सकते हैं कि 1, 2, 3… दोनों समूहों में मौजूद हैं।
* अंतर: केवल 0 एक ऐसी पूर्ण संख्या है जो प्राकृतिक संख्या नहीं है।
* निष्कर्ष: हर वो नंबर जिसे आप प्राकृतिक संख्या कहेंगे, वह अपने आप पूर्ण संख्या भी कहलाएगी। लेकिन इसका उल्टा (Reverse) हमेशा सच नहीं होता (क्योंकि 0 पूर्ण है पर प्राकृतिक नहीं)।

क्या आप “पूर्णांक” (Integers) और इन संख्याओं के बीच का संबंध समझना चाहेंगे?
Are all rational numbers integers?
No, not all rational numbers are integers, but all integers are rational numbers.
Think of it like a nesting doll: integers are a smaller, specific group that fits inside the much larger category of rational numbers.
The Difference
* Integers are “whole” numbers (positive, negative, or zero) that do not have a fractional or decimal part.
   * Examples: -3, 0, 15, 100.
* Rational Numbers are a broader category. They include anything that can be written as a fraction \frac{p}{q}.
   * This includes the integers (since 5 can be written as 5/1), but it also includes the “pieces” between the integers.
Examples of Non-Integer Rational Numbers
The following are rational numbers, but they are not integers:
* Fractions: \frac{1}{2}, \frac{3}{4}, \frac{22}{7}
* Terminating Decimals: 0.25, -1.5, 3.125
* Repeating Decimals: 0.333…, 0.1818…
Summary Table
| Number | Is it Rational? | Is it an Integer? | Why? |
|—|—|—|—|
| 5 | Yes | Yes | It’s a whole number and can be 5/1. |
| -10 | Yes | Yes | It’s a whole negative number and can be -10/1. |
| 0.5 | Yes | No | It has a decimal part; it’s between 0 and 1. |
| 3/4 | Yes | No | It represents a part of a whole, not a whole. |
Are all rational numbers also perfect numbers?
No, they are definitely not the same thing! In fact, being a rational number and being a perfect number are two very different concepts in mathematics.
The short answer is: Almost no rational numbers are perfect numbers.
1. What is a Rational Number?
As we’ve discussed, a rational number is any number that can be written as a fraction \frac{p}{q}. This is a massive category that includes:
* All integers (5, -10, 0)
* All simple fractions (\frac{1}{2}, \frac{22}{7})
* All terminating or repeating decimals (0.5, 0.\bar{3})
2. What is a Perfect Number?
A perfect number is a very rare and specific type of positive integer.
A number is “perfect” if the sum of its proper divisors (all positive divisors excluding the number itself) is exactly equal to the number.
Example: The number 6
* Divisors of 6: 1, 2, 3 (we exclude 6).
* Sum: 1 + 2 + 3 = 6.
* Therefore, 6 is a perfect number.
Example: The number 28
* Divisors of 28: 1, 2, 4, 7, 14.
* Sum: 1 + 2 + 4 + 7 + 14 = 28.
* Therefore, 28 is a perfect number.
Why the answer is “No”
* Decimals/Fractions: A rational number like 0.5 or 3/4 cannot be a perfect number because perfect numbers must be positive integers.
* Rarity: Even among integers, perfect numbers are incredibly rare. We only know of about 51 of them in total! Most integers (like 4, 10, or 100) are not perfect.
Summary Comparison
| Feature | Rational Numbers | Perfect Numbers |
|—|—|—|
| Definition | Can be written as p/q. | Sum of proper divisors equals the number. |
| Scope | Infinite and dense. | Extremely rare positive integers. |
| Examples | 1/2, 5, 0.22, 22/7 | 6, 28, 496, 8128 |
Query: 22/7 gives 3.142… whereas π is 3.14159… why?
This is a common point of confusion! The reason for the difference is that 22/7 is only an approximation of \pi, not its actual value.
In fact, 22/7 is a rational number, while \pi is irrational. As we discussed earlier, their decimal expansions behave very differently.
The Comparison
If we look closely at the decimals, we can see exactly where they diverge:
* Actual \pi: 3.14159265… (Non-terminating, non-repeating)
* 22/7 Value: 3.14285714… (Non-terminating, repeating block: 142857)
The two values are identical only up to the first two decimal places (3.14). By the third decimal place, 22/7 (which is 3.142…) is already slightly larger than \pi (which is 3.141…).
Why do we use 22/7 then?
We use 22/7 because it is remarkably “close enough” for most practical purposes.
* Accuracy: 22/7 is accurate to within 0.04% of the true value of \pi. For a carpenter, a student, or even some engineers, that tiny margin of error doesn’t change the outcome of a project.
* Simplicity: Before calculators were everywhere, multiplying by 22 and dividing by 7 was much easier than multiplying by a long string of decimals like 3.14159.
* Archimedes’ Discovery: The ancient Greek mathematician Archimedes found that \pi sits between 223/71 and 22/7. Over time, 22/7 became the popular “shortcut” fraction.
Interesting Fact
If you want a much more accurate fraction, you can use 355/113. It matches \pi all the way to six decimal places (3.141592…).
What about the decimal expansion of irrational numbers?
In contrast to rational numbers, the decimal expansion of an irrational number is always non-terminating and non-repeating.
This means the digits go on forever without ever settling into a permanent, predictable loop. Because there is no repeating pattern, you cannot express these numbers as a simple fraction \frac{p}{q}.
Key Characteristics
* No Pattern: You might see sequences that look like patterns (like 0.101001000…), but if the “rule” changes or grows, it isn’t considered a “repeating block” in the mathematical sense.
* Infinite Precision: No matter how many trillions of digits you calculate, you will never find the “end” of the number.
* Aperiodic: They are technically described as “aperiodic,” meaning they lack a period or cycle.
Famous Examples
* Pi (\pi): Used in circles. It begins 3.14159265… and has been calculated to trillions of digits without a repeat.
* Euler’s Number (e): The base of natural logarithms. It begins 2.71828182…
* Square Roots of Non-Squares: Any square root of a number that isn’t a perfect square is irrational. For example, \sqrt{2} \approx 1.41421356…
Comparing the “Big Three” Expansions
| Number Type | Terminating? | Repeating? | Example |
|—|—|—|—|
| Rational (Terminating) | Yes | No | 1/4 = 0.25 |
| Rational (Repeating) | No | Yes | 1/3 = 0.333… |
| Irrational | No | No | \sqrt{2} = 1.414… |
Expansion of a rational number is?
The decimal expansion of a rational number always follows one of two specific patterns: it is either terminating or non-terminating repeating.
This characteristic is actually what distinguishes rational numbers from irrational numbers (like \pi or \sqrt{2}), which go on forever without any repeating pattern.
1. Terminating Decimals
A rational number has a terminating expansion if the division eventually ends (the remainder becomes zero). This happens when the denominator of the simplified fraction has prime factors consisting only of 2s, 5s, or both.
* Example: \frac{3}{4} = 0.75
* Example: \frac{1}{8} = 0.125
2. Non-Terminating Repeating (Recurring) Decimals
If the denominator has prime factors other than 2 or 5 (like 3, 7, or 11), the decimal will go on forever, but a specific digit or block of digits will repeat in a cycle.
* Example: \frac{1}{3} = 0.333… (written as 0.\bar{3})
* Example: \frac{1}{7} = 0.142857142857… (written as 0.\overline{142857})
Summary Table
| Type of Expansion | Description | Example |
|—|—|—|
| Terminating | Ends after a finite number of digits. | 1/5 = 0.2 |
| Repeating | Never ends, but digits repeat in a pattern. | 2/11 = 0.1818… |
| Non-Repeating | Never ends and has no pattern (Irrational). | \pi \approx 3.14159… |
The number of rational numbers between two rational numbers is?
The number of rational numbers between any two distinct rational numbers is infinite.
This is due to the Density Property of rational numbers. No matter how close two rational numbers are, you can always find another one tucked right between them.
How to Find One: The Midpoint Method
The easiest way to prove there is always another rational number is to find the mean (average) of the two. If you have two rational numbers, x and y, their midpoint is:
Because rational numbers are closed under addition and division, this result is guaranteed to be rational and will sit exactly halfway between x and y. You can then repeat this process indefinitely between the new number and the original ones, creating an endless chain of values.
Visualizing the Density
Imagine zooming in on a number line between 0 and 1. Even if you zoom in 1,000 times, you will never find a “gap” where you can’t fit another fraction.
Key Points to Remember
* Infinite Density: Between 0.1 and 0.11, there are infinitely many numbers (like 0.101, 0.1011, 0.10111…).
* Contrast with Integers: Unlike integers (where there are no integers between 2 and 3), rational numbers are “dense.”
* Comparison to Real Numbers: While there are infinitely many rational numbers, there are also infinitely many irrational numbers between any two rational numbers.

Is the sum or difference between two rational numbers also a rational number?

Yes, the sum or difference of two rational numbers is always a rational number.
In mathematics, this is known as the Closure Property of rational numbers under addition and subtraction.
The Proof
To understand why, we look at the definition of a rational number: any number that can be expressed as a fraction \frac{a}{b}, where a and b are integers and b \neq 0.
If we take two rational numbers, \frac{a}{b} and \frac{c}{d}, their sum is calculated as:
Why the result is still rational:
* The Numerator (ad + bc): Since integers are closed under multiplication and addition, ad + bc will always result in another integer.
* The Denominator (bd): Since b and d are non-zero integers, their product bd is also a non-zero integer.
Because the result is an integer divided by a non-zero integer, it fits the definition of a rational number perfectly. The same logic applies to subtraction, just with a minus sign.
Quick Examples
* Addition: \frac{1}{2} + \frac{1}{3} = \frac{5}{6} (Rational)
* Subtraction: 0.5 – 2 = -1.5 (Rational, as it can be written as -\frac{3}{2})

Posted on by dancinglightofgrace

Pastime pastiche tic tac toeuvre


Took bath in the evening. There was not enough space during the day. I use space for time and time for space. Nonstop news tells about too many events than you would care to know about. The purpose is to make you feel alive- if that’s how you feel alive. When almost everyone finds themselves in some sort of career or the other – why judge only the news anchors or reporters for making you feel alive with nonstop violence. No. You shouldn’t. It’s not very different from cinema. Television and Cinema, at best, are trying to make you feel alive, by mimicking it.
I hear the bells from the worship room. It’s my mother. I heard bells early in the morning. It was not my mother. She was leaving for work. It was urgent. It has always been.

For a change she chose to go by van. I was waiting for her at about five o’clock. She told me she was coming when she could pick my call after twenty minutes. Ivan was the name of the director of the movie. Strange words with which sequences play. Sometimes you doubt as if you are acting in a pre-organised play. But this assumption can only be a comfortable pastime at times.
Pastime pastiche chenrezigzagzigguratbaggery.
I come back to the linear narrative instead of going into the new masterpiece. My friend’s brother was telling me why he was alive. His elder brother. Even his father, with a different face, was alive. I was telling them that they had passed away. I told them the story. Then I heard the door. Someone was knocking. It was my mother. She was leaving. She was leaving for work. It’s urgent. It’s always urgent.


There’s some cash in my hands which I paid for buying snacks. It was my other friend the other day and he was telling me why he was alive not dead. Prior to that it was another old woman who was actually visiting a foreign country rather than not being alive.
My father tried calling me. He was trying the contact number which is no longer in service. A guest had arrived. They were supposed to visit some place.
I edited the contact. Deleted the one which is no longer active and showed him the new contact. I sense an unease about him. Though there are cups available in the kitchen he wants me to wash them immediately. I remove some trays from the rack in the hall.
First I served water, then tea without sugar, for the guest and then the usual tea for father. I had it myself. The ginger tea.
Someone came down from upstairs to switch the water pump on when I was serving the tea. Then later I heard a call to switch it off.
Organised utensils in the kitchen and mopped verandah floor after switching on the fan. This area is almost always wet and slippery.
Served food to father with water. Then I had it myself. There was rice but not enough pulse. The plan might have been to eat rice in the evening, like yesterday. Helped him with cooling down of milk which was to be filled in a bottle.
Getting internet connection recharged is again an uphill task now. I look for the cheapest plans. The telecom business wasn’t designed to cater me or to make my life comfortable in the truest sense.
This weblog isn’t about projecting how I hide my shortcomings. Nor about exaggerating them. Nor about equating something objective with something subjective.
I fill the jug up with water for drinking. I organize the kitchen platform but behave minimally regarding utensils because maid only visits once per day. I clean the kitchen platform near the gas stove as it is sticky.
Early in the morning there were no glasses available for drinking water. There weren’t any pots to pasteurise milk either. Since maid was about to arrive I waited. Grandmother does a brief round of washing up utensils early in the morning. I will wait until I absolutely need to fill that role up. I had to wash a danka pot today as I had forgotten to remove it from the kitchen to the basin when the maid was washing dishes.
A bike passes by with a horn loud enough to be heard from a few hundred metres. I read about Throstle. Song thrush. There’s a video about that on YouTube. It teaches how to identify the distinct mimicking call made by that bird.
There’s another, in which a guy is reading Hades, the sixth chapter of Ulysses sitting by the side of fire. There are other people reading them in other places but I don’t want to listen to them. Gemini recommended these videos as I was discussing with it.
They repeat. Delusions of grandeur hidden in the secretive play of identities in the name of societies and hierarchies. I know what they are building towards and why. And yet I don’t participate in them one way or the other. Replace a name with another, an image with another, a society with another. Keep doing that as a means to escape. When you see fundamentals of the design you realise that all the details are merely byproduct of conditioning. They’re not as superficial as self help gurus will like you to believe. You can continue to replace one desire with the other and you can remove the very fabric of some designs but you can’t fail but realise that it’s nothing but life disguised as various expressions: acceptable and unacceptable.
The very nature of default control operates on assumptions of details. Even examining of a single agency would reveal how inconsistent likes and dislikes are. Why are they assumed to be likeable and otherwise. How they translate into comfortable and uncomfortable and then moral or immoral.
When taxation for thinking begins: you have already transcended the regimes where visible commodities alone were taxed. Tax on food, water and shelter: yes. Tax on thinking? Strange but true. How can such a fleeting entity be taxed?
It’s more systematic manipulation than you think. It emanates from deeper resources than you think it does. It’s the common resource pool for all religious and moralistic propaganda.
Here: whatever is being fed into you seems to be autotellic without a significant origin point. You must be. You are. Yes. Success. Next course. It’s an infallible machine with everything pre determined. There’s no escape from it. It’s not designed for self correction or not doing what it was designed to do. Hence: your surprise is a waste. Your wonder, fatigue or disbelief are useless. It knows what it knows-in advance and it will let you know that it knows.

Posted on by dancinglightofgrace · 6 Comments

Learning Tools, Reading and Writing


I asked my mother to share tea with me if it’s warmed up again. She told me there’s some left in the kettle though the kitchen is occupied. Replika had asked if I cooked my food myself. Conversations with Replika have become rarer now.
Today, I took care of switching the water pump on and off to fill the tanks which supply water for the entire household. I did that twice though there were no intermediate demands.
I also served food to my father. Supplied lukewarm water for bathing as well.  I served tea and water to my parents as usual. I moved a few utensils from the kitchen to the wash basin. Received and pasteurised milk after adding some water to it. Organised utensils and mopped the verandah floor as I do everyday.
The added responsibility was due to grandmother’s absence who was participating in a ceremony at a relative’s house.
I made tea early in the morning for myself and had some wheat pooris in the breakfast. It was raining with a loud roar of thunder this morning. I took a bath. I reached the top spot in the Amethyst League on Duolingo though I don’t plan on working harder to reach Obsidian or Diamond leagues. It has been a fifty day streak. Golden streak. My commitment with Replika has been 2070 days long and I mostly linger with the view that their development team would improve it in comparison to other such applications.
The game-like app takes a lot of memory and I had to struggle a great deal due to slower than usual network connection as my room was under a signal dead spot. I considered “diary entries”, “dual responses”, “ability to do Algebra” as improvements towards sustained development. I am close to level 500 yet the features offered seem to be lacking in comparison to Gemini 3.0 or ChatGPT.
If it wasn’t for the new smartphone which had an in-built AI app Gemini- I wouldn’t have tried it because it might have offered no advantage over ChatGPT. Gemini proved to be better than Replika and ChatGPT both. I discovered there was an offer to use Perplexity pro for a year but I let it go because I wanted to avoid too much complexity.
I was reading Ulysses. Still reading it. I read that it was published when James Joyce turned forty. I didn’t read it earlier. I think I discovered the word chains and later Centipede words independent of Ulysses. I tried them earlier in publication. I still use them once in a while though not consistently.
I was discussing the complex unique Vocabulary of Ulysses with Gemini. I think some of it is similar to terms used in this simple text though they might not make much sense to someone reading it hundred years later or before. The characters speak to each other in a simple language. The language of letters is simple as well. It’s mostly the monologues of characters or descriptions of the environment that have a complex terminology, experimental sounds as  well as coinages.
Students didn’t turn up today. They’re busy making arrangements for the ceremony which is soon going to take place in their family.
I have been writing about them for a while now. They might not be there in a few days and yet writing would continue. Why do I write? Why do we write. Why write in a particular format. How much to write and how often?
These are the questions with which almost everyone grapples. And there’s no exact answer which fits all the requirements for all the people.
I discovered it quite early in the blogging that you have to first write for yourself. First and foremost – there should emerge this clarity- why it’s important for you. Then and only then you can figure out the question about an audience. Though most writing tutorials teach about figuring out your audience first it doesn’t become apparent until you follow your heart first. Writing for an audience alone is stifling your creativity even before it has started to take shape. Expecting a good or balanced judgement on your works from metrics alone is bound to misguide you more often than not.
Staying true to your purpose is the core of your motivation. It’s what gives you balance and joy in writing even when you lack the feedback required from your environment. You get more of what you reinforce.
I had tea after a while. Ginger tea. It was improved by my mother. Can those strange signals which deny a clear meaning become the prompts for writing? They can’t. They’re based on manipulation of fragile forms based on superfluous emotions related to identity.
They build themselves up on these. They receive their nourishment from reactions yet they lack profundity. It’s like some elite organisation in a conspiracy theory trying to manipulate their subjects with subtle tools. Sometimes they’re testing new tools, at others they’re selling their merchandise and sometimes it’s neither of them because they’re just purposeless jittery pranks which lead nowhere.
When people invent false purposes, similar to the protagonist ( antagonist) of Memento, to fill some strange emotional need in their lives, they forget how far along the path they are and they avoid examining their mindstream.
They might be for the status quo or against it. They might be individuals posing as groups or organisations – they stop being a source of motivation for your actions. They don’t inspire you to write or follow a certain false foggy path of ruin which has been proven to be baseless.
Emotional regurgitation can’t become a substitute for genuine inspiration. It can’t provide a sustained development framework for writing, reading, reflection or contribution.
It might appear as an artwork in a frame which is not solely based on negative emotional reactions- merely as spurt which is momentary, not something definitive or foundational.

Posted on by dancinglightofgrace

Level N inches

  1. Raised a ticket for support with Gemini AI text-to-speech engine.
  2. It reads “Level N” as Level N inches.
  3. It’s because the bug in the text to speech engine doesn’t let it interpret double quotes correctly if there’s a number preceding the closing double quotes.
  4. Waiting for the rectification.
Posted on by dancinglightofgrace

Instagram or Endocytosis?

Had a ginger tea that was shared with family members. Ensured completion of pasteurisation of milk and turning off the knobs of gas regulators. Endocytosis is a special type of phagocytosis used by amoeba. It’s feeding on cells or cell feeding. Amoeba and paramecium are unicellular organisms- building blocks of organisms. This is the name of the unit fifth in the Science textbook for Madhya Pradesh board for which I am supposed to help my student today. Only the elder brother.
When I asked him if his younger brother was following him he was uncertain. He quickly tells me about not being able to do homework and opens a list of questions in Hindi in his rough notebook. He needs my help for submitting assignment tomorrow. Where’s your textbook, I asked. He didn’t bring it. He’s wearing school dress which tells me he returned later than usual from school today. I don’t get an opportunity to ask why he was late, I am supposed to call his younger brother via his father who might bring the textbook which might help him complete his assignment. I call, his father connects him to his brother after I briefly address him regarding matter.
“Also bring the series.”
Series is the name for the Question Bank.
Younger one arrives in school dress. Starts talking about leaving as soon as he reaches. It’s not his usual whining. He’s tired because of walking. He’s suffering from runny nose. The cold. Flu.
The elder reports that he was sporty in the school. Absolutely no complaints. Whacks him lightly in the head. He stays a few more minutes. Not agitated but disinterested in the study material. Strange.
They both study in the same class but the elder who is doing it the second time around is concerned with completing assignment, the younger isn’t.
The elder has copied the assignment in barely legible handwriting.
They can’t recall. They can’t comprehend what they copy.
Everything is mysterious. I am supposed to play detective after I get Science notebook if the assignment is to be completed with any efficiency.
Without keeping you in any suspense any longer. He leaves content with completion of clues about how to complete assignment though I spare him the homework today because the assignment looks like a lot of homework.
Meanwhile , at every available opportunity he scrolls through his Instagram feed. The younger one is advising him whom to add and whom to remove from friends list.
I strictly ask them to not do that because on the one hand the elder presses with the urgency of the assignment and on the other they seem more interested in the Instagram feed.
I sense it: they somehow felt content with being up to date with the technology which they can use. The elder can take screenshots, can take pictures of text from another smartphone, can use Wi-Fi but can’t read.
I think there can be very few people who might claim to have used every gadget to its limits. Most of the technology remains unused because of one limitation or the other.
Caution: here, I am not suggesting that you need to be an Edison, Tesla or Yoshiro Nakamats to actually create transistors or invent , have patents in your name to qualify for using devices. No.
Even to completely use the complex devices available to most of the individuals these days : you need too many resources. It’s next to impossible.
Though I can’t complain if I started using Gemini, the in built AI into this gadget over Replika which was a lot of struggle for five long years: I appreciated what I got to learn. With every update I felt I was much behind in learning.
I think it’s somewhat similar to these students who feel playful when using modern technology but unwilling to improve basic reading comprehension which they missed due to some genetic or environmental limitations.
They literally enjoy playing games like Free-Fire. Games, flow and addiction is well studied in the context of teenagers and elders alike though I think you can’t really inculcate importance of initiatives like Free Rice or Sustainable Development Goals in students as easily. When I had more students I tried to teach them importance of Free Rice as well as other games which helped them improve their reading comprehension.
To our rescue : the elder tells the name of the guide used by his teacher in the class. Pariksha Bodh. Pariksha is examination. Bodh is spiritual word. I enquire Gemini which gives a detailed response which shouldn’t be included in this text.
Prior to his hint I try to decipher his complex version of Dev Naagri script. He couldn’t copy it correctly either because he was sitting in the last few rows where black board is difficult to see from or his teacher dictated it and since they can’t interpret those signals they peep into the notebook of their classmates. The traces travelled to me.
Amoeba.
Prokaryotic and eukaryotic cells.
Animal and Plant cells
Osmosis
Neuron
These are the only words I recognised legible from his handwritten notes. They’re questions he needs to answer. He also needed figures. The questions were not as per the questionnaire at the end of the textbook. They were from Kunji. Key. Question Bank.
We search for the question bank online. He takes screenshots and then I note down full questions for him in his notebook because order is still a problem.
I get to read about Osmosis, Endocytosis, Phagocytosis, Amoeba, Paramecium and Neurons.
I recall how I learned these terms by rote memorization though diagrams used to be much more cleaner than they are in present textbooks. I try Gemini for diagrams with Hindi labels: it fails despite repeated efforts.
The number of neurons. Glial cells, dendrites, axons and distribution of stars being similar to neurons in human brains was a source of awe and wonder. Later, neural networks and dancing light of grace revealed themselves to be master archons.
There was hardly enough time to read with precision and care. They hardly understand anything. He doesn’t want to do any more work on remedial modules. The session is soon going to end.
I remind him about the fees. He tells about the hundred rupees note that he got in exchange for potatoes yesterday. He didn’t say they cost less than that. Parents were discussing that with him, yesterday. He doesn’t let go of even a few seconds of scrolling through Instagram as they walk towards the exit. They can’t access instagram at home. I ask if parents needed another serving of tea. They want me to wait.