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Cut a circle into rings. Unroll them. You get a triangle. Area = half of 2πr × r = πr². Feels like a clever modern trick.
Aryabhata wrote the same formula as one verse, in 499 CE.
समपरिणाहस्यार्धं विष्कम्भार्धहतमेव वृत्तफलम् I
"Half the circumference, multiplied by half the diameter, is certainly the area of a circle." Aryabhatiya, Ganitapada, verse 7.
The triangle's base is the circumference. Its height is half the diameter. Half base times height is exactly his verse.
The unrolling was Indian homework too. Mahavira, around 850 CE, gives the exact area of one ring: half the sum of the inner and outer circumferences, times the width. A ring unrolled into a trapezium.
Bhaskara II, 1150 CE, cuts a sphere into 24 rings, unrolls each strip into a trapezium, and adds them to get the surface of the sphere.
Jyesthadeva's Yuktibhasa, Kerala, around 1530, does the same unrolling in Malayalam, and lets the strips grow finer and finer.
Source: Aryabhatiya, Ganitapada 7; Ganita Sara Sangraha 7.7; Siddhanta Shiromani, Goladhyaya; Yuktibhasa.
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क्षमा जैसा उत्तम बल, कीर्ति जैसा उत्तम धन, ज्ञान जैसा उत्तम लाभ और श्रीरामायण जैसा उत्तम ग्रन्थ कोई नहीं है।
There is no strength better than forgiveness, no wealth better than renown, no gain better than knowledge, and no text better than Śrī Rāmāyaṇa.
Bharadvāja.research retweeted
Political Hindu unity is possible when
1. Shankaracharya of four mutths proclaim a specific kind of exogamy where UC women are arranged for marriage with LC men.
2. Every single UC association, be it Karni Sena or Brahmin Mahasabha not only endorse this type of marriage but also mobilise women to be part of such compromise.
3. All blue collars job be strictly reserved for UC men. Drivers, peon, washerman etc. 100percent reservation for LC in any sector job and any kind of job.
4. Replacement of every single priest with Dalit ones. And complete distribution of land and resources among the SC and ST.
Only then, political Hindu unity is possible. Nutshell, complete annihilation of UC identity by sending their daughters and women to lower caste, and complete subjugation of UC men, with law. Within one generation Hindus will forget if UC actually existed or its a folk Lore.
State policies are working on these lines but individual identification with one's ancestors is the real roadblock in attaining this Hindu unity.
Ancestors are remembered through Pitru karma, which have been completely ridiculed and forgotten. Now only memory remains because of of one's surname. Ancestral memory fades once the newer generation has to move out for job. UC Hindus don't receive any ancestoral education, they rely heavily on state education model which is brazenly secular and subaltern.
So, subaltern leadership should be more strategic and patient, they Will certainly eat fruits of the ideological subversion.
Bharadvāja.research retweeted
Relevant, Richard Strand's Nuristani Etymological Lexicon has words for "Hindu" and "Brahmin" in the Kamviri (Kom Nuristani) wordlist.
Bharadvāja.research retweeted
I can't believe nobody has heard of this Bengaluru-based nanotech lab.
In a year or two I'm sure they'll be very well-known. They're building chips that are 100x more energy-efficient than modern GPUs. This unlocks applications like SOTA edge inference on phones and laptops.
They're planning to commercialise this tech as MBrain AI, a company co-founded by Prof. Goswami with IISc colleagues and semiconductor industry veterans.
Currently they're incubated at IISc's CeNSE (Centre for Nano Science and Engineering), as the MoNC-AI research group.
A lab in Bengaluru is building brain-inspired chips from molecules, designed to be nearly 100x more energy-efficient than today's GPUs.
Led by Prof. Sreetosh Goswami this team of ~30 chemists, physicists and engineers is based out of the Centre for Nano Science and Engineering (CeNSE), IISc.
Here's the problem they're solving. The computers we use today (GPUs included) were never designed with AI in mind. They keep data in one place and do the calculations in another, so every step means sending data back and forth between the two. Engineers call this the von Neumann bottleneck. Everyday software barely notices it, but AI does, and that's because a neural network multiplies millions of numbers at once. Even the most advanced AI hardware spends a remarkable share of its energy simply moving data around.
Now imagine a chip where memory and computing happen in the very same place. Not just side by side on one chip, as in modern phones and laptops, but with the calculation taking place inside the memory itself. That is how the human brain works, and it's also what this team is building.
The MoNC-AI research group (Molecular Neuromorphic Computing for Artificial Intelligence) designs tiny molecular devices called memristors. A silicon transistor stores a simple 0 or 1. Each of these molecular devices can hold more than 16,000 distinct levels. That richness enables them to carry out the central operation of AI in a single step, instead of thousands.
Because these chips need only a fraction of the energy, they could bring powerful AI to phones and laptops, without relying on the vast power and cooling of data centres.
The technology born in this lab is now being taken to market by MBrain AI, a company co-founded by Prof. Goswami with IISc colleagues and semiconductor industry veterans. Alongside the chips, MBrain AI is building the software that lets everyday applications run on them, and is working towards its first fully packaged chips for customers over the next couple of years.
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"Harsha's joy (Harsha) melted away in fear."
-- Poet Ravikirti in Aihole inscription, 634-35 AD
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In the past Rajas of Travancore hosted a ceremony called നായരൂട്ട് in which they held grand feast for Nairs particularly on their birthdays. Here is an old record from Sri Padmanabha Swami temple of such a feast hosted on birthday of Anizham Thirunal Marthanda Varma.
Bharadvāja.research retweeted
राजपूत कुलभूषण बाबू वीर कुंवर सिंह जी की जयंती पर उन्हें कोटि-कोटि नमन🙏
#rajput
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Maharaja Ranbir Singh of Jammu, son of Gulab Singh. Expanded his empire in Gilgit, Hunza and crushed the rebellion of Afghans. A renowned Sanskrit scholar often called as "Vishwamitra of Kalyug", built temples like Raghunath temple, built Sanskrit pathshalas and patronized arts.
