Bharat Rakshak

sudarshan

Interesting q & a with ChatGPT. While the response from ChatGPT is a howler, some things to consider, as below (just out of academic interest :)): 1. Many people also reason this way, and have to learn by experience that such reasoning is incorrect (one can surmise that maybe, the AI picked up o...

sudarshan

The technique - if x = f(f(x) or (x = f(f(f....(f(x) for that matter then f(x) = x is a solution. Quite intuitive but deep. Sometimes, it is the only solution. The same theme was in my Q BRF: 202212-02. One can reduce the equation x = √(2022+√(2022+x)) by the same logic to x = √(2022+x) resulting t...

sudarshan

Okay... here is one solution to problem posted above Along with Sudarshan's solution above, let me post it here... (Since BRF does not have LaTeX interface, I too am posting screenshots :): [img]...[/img] QED! :) Amber ji, this is a great solution, but doesn't it assume that x1/x2, x2/x3, etc. are ...

sudarshan

^ Mine too, in response :). The problem is non-linear because of the 1/x2, 1/x3... terms, but if it were linear, then it would lead to a "sparse matrix," which is much easier to solve (diagonalize) than a regular matrix. But even in the non-linear case, the same principle applies - elimina...

sudarshan

sudarshan

^^ Thanks! With the first problem - I used to have a very hard time working with "a^2 + ab + b^2" or "a^2 - ab + b^2" situations. It's not quite (a+b)^2, nor (a-b)^2. Then I realized that it works much better if you go with the cubes: a^3 - b^3 or: a^3 + b^3. The second problem t...

sudarshan

sudarshan

^ I appreciate the concern, Cyrano garu. I'm doing fine, just currently on lurk mode

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sudarshan

Extremely interesting discussions on this thread (not being sarcastic). One is about stray dogs, and how more could be done on a proactive basis to control the menace. Another is about the PM getting stuck on a bridge. The two issues are so similar, it would be funny if not tragic. Frankly in this c...

sudarshan

In the above picture, does anybody know what is that orange/saffron cylindrical thing that Barack Obama was holding? I have seen these cylindrical things holding tennis balls/shuttlecocks. But why Obama hold such a thing when meeting Nawaz Sharif? Any idea? "We have the files on your interacti...

sudarshan

https://pbs.twimg.com/media/FHgzu3VVgAQmJDy?format=jpg&name=large *Most* interesting! So let's see now. If person A serves as cook for person B, who is the lower caste, and who is the upper caste? A quote from Bernier (not exact words, to the best of my memory): Indians refuse to eat at the hou...

sudarshan

Didn't know he used to be a watermelon seller. No comparison to the chaiwallah of course. Will be interesting to see how many zeros the Lira gains against the $ this time. No problemo, dropping zeros, they are a filthy SDRE invention after all. They have no value, right, they can be discarded per co...

sudarshan

..Turkey's economy in crisis; Govt halts Equity, Derivatives and Debt Trading with immediate effect Alhamdulillah, it is not helping. Turkish lira has lost 50% of value to USD in 9 months at 16 to 1 USD and inflation has soared to 21%. According to shariya and madrassa math, big numbers must be a p...

sudarshan

^ OK thanks for clarifying, just didn't want anybody (or the forum) to get in trouble. And thanks for taking the time to post those excerpts. The book seems pretty well-written, and all the excerpts you posted made for interesting reading. My congratulations to the author on writing such a book.

sudarshan

Cross Posted from the Books Folder ... Ji, this is all very interesting stuff, and your efforts to popularize the book are appreciated, but are you sure you're not violating copyright by posting the book here one chapter at a time? From your excerpts, the book certainly seems like an absorbing read...

sudarshan

Temples have been burned down to the ground, or "repurposed," idols have been broken, desecrated, and carried away as playthings. Many temples in S. India still have tunnels to carry away the idols to safety at the first sign of trouble. Just two years ago, the Atthivaradhar temple in Kanc...

sudarshan

^^ Ask how many visas are denied to Indians routinely by US embassy with no reason. I have friends who were stranded in India after they were denied visas for no good reason and had to sell their homes, cars and everything in US from India. It's brutal but thats how it is. There is also the glaring...

sudarshan

Thanks for deleting. I did read it before that, and this is nothing new. Maybe this is the first time you got such an email, but the campaign has been going on for a long time, with the same kind of "Indianization," in various forms - verbal (one-on-one/ many-on-one - very much akin to GR/...

sudarshan

Sudarshan Saar, I will point out to one more caveat with respect to the petrol and diesel prices. Recently, Raaka sudhakar an indic leaning telugu journalist also pointed out that since the Centre reduced the tax a bit on petrol and diesel and some BJP ruled states followed suit most of the interne...

sudarshan

rsingh wrote:Guys, recently there was a pic of Pakistani newspaper where there was an add about cleaning job reserved for only Hindus. i need that.

This one? It's from 2018 though.

https://swarajyamag.com/insta/fact-chec ... ry-workers

sudarshan

... A few pages back it was how petrol prices are impacting the Indian economy and how Modi will lose elections today in 2024. As if there was a time dilation where when as some esteemed posters suggest that Indian voters will remember the petrol price rise of 2021 in 2024 and blame Modi and hence ...

sudarshan

^^ Hmm, very baffling. I see it on NDTV as well.

sudarshan

V_Raman wrote:Farm laws repealed - WOW - UP elections are driving these decisions...

I'm not seeing this anywhere, do you have a link?

sudarshan

BTW historically there is little doubt that his work was available to Leibniz and some other Western mathematicians ..Kerala school's textbooks were transmitted to Europe via Jesuit missionaries and traders who were active around the ancient port of Muziris at the time.. and had quite bit of influe...

sudarshan

.. but a slight modification, as Madha says and used was to use: arctan(1) = arctan(1/2)+arctan(1/3).. Now if you use, 30 terms of each series, you will get 10-15 places of accuracy... Now that's ingenious! I'm impressed. I read that Madhava (or his disciples) actually quoted the value of PI to 18 ...

sudarshan

Essentially if you start with geometric series, say 1+x+x^2+ ... where x is less than 1, it can be summed as 1/(1+x). So 1/(1+x^2) = 1 - x^2 + x^4 - x^6 + ... If you integrate each term, you get: Arctan(x) = x - x^3/3 + x^5/5 - x^7/7 + ... (which results into famous series, as you mentioned, when y...

sudarshan

Arun Shourie's book on Fatwas gives a good view into what goes on in M simpletons' minds. You won't believe the sort of questions Ms pose their Imams and the hilarious fatwas issued by them. The above topic and much more (unfit for public conversation) is covered in that book. Right you are. On tha...

sudarshan

From kigetartS thread: ^^^ western society under the leadership of the ultra left has lost its collective minds. With gender being a social construct. In school you have a situation where a biological male can use the female toilet and if girls object then they get abused as transphobic. The rapper ...

sudarshan

Rsatchi wrote:...

Here:

Non-Western Worldview

Will reply there.

sudarshan

Aditya_V wrote:
Rudradev wrote:
Hmm. So in Prophet"s time there was no paper & almost no water (it was a desert). What did they do after...?
There is a very clear explanation to use Smooth stones and pebbles.

In what way? Swallow them like the chickens do, to aid digestion?

sudarshan

Okay here is a simple looking problem, perhaps first originated from a Kerala Mathematician in the 15th Century - perhaps not as easy as it looks but still fun.. 1 - 1/4 + 1/7 - 1/10 + 1/13 - ..... (Fair to consult any book you like, fair to use computers, fair to use any advance math tool or take ...

sudarshan

This "cartographic aggression" is not new. It was first "revealed" in August 2020 and the rest of the world gasped and shook its collective heads. No one cared! After all, it's Im duh Dim trying to look busy. If I were to decide the response to this, I'd do as follows. Augment t...

sudarshan

Even I was planning to rezine from life and take sanyas. Only thing that stopped me was SHQ packing my bags readily. :rotfl: That's the wrong way, one takes sanyasa without informing SHQ. Now I'm curious what the next R&D (crying and rinsing) cycle is going to be about. There will be something ...

sudarshan

He must be a great teacher too. I am awe-struck by the quality of drawing & presentation on the black board. Such a clarity!!! I envy those lucky few in the classroom. That's got to have come from a stencil. Else - try drawing those lower case 'r's that way consistently by hand. Although - how ...

sudarshan

...Sagarika Ghost... Bleddy perfect response :). For those still confused about "India existed or not before the British" - here's a quote from Pliny the Elder (23 to 79 AD): "It is an important subject, in view of the fact that in no year does India absorb less than fifty million se...

sudarshan

^ Have you seen the flag of Turkey? Tunisia's flag is similar, but I don't think it's relevant here.

sudarshan

No Englishman takes care to parse the linguistic patrimony of the Norman invasion from speech. At least when commenting on topics other than eating, $hitting and phooking. In the case of these acts, Anglo Saxon is admirably suitable. Any civilised thought in English needs the Latinate vocabulary. I...

sudarshan

Manish_Sharma wrote:TWITTER

@Daeroplate_v2:

...

I think the above misses a critical point, which BTW Cheen has already done or is in the process of doing.

Build an ecosystem of peer-reviewed journals and conferences. Indian authors face large hurdles publishing in western journals or conferences.

sudarshan

Yaa, and you bleddy naarthies used to make fun of southies who spoke proper Sanskritized Hindi as being old-fashioned and quaint :P. Anybody who said "ichcha" would be corrected to use "marzi," and so on - the Urdu word was always regarded as more cool and hip. But I got to say -...

sudarshan

Nice. I think it may be okay to discuss it here .. but let us give a few days to others ... The problem is *very* famous and has appeared in JEE and such exams (originally it came from a math olympiad). There is a beautiful theme to solve such problems. Easy way is to ask an "old fashioned&quo...

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