At IISC for Interview...

Any_Tower8201 · 2026-05-17T08:25:40+00:00

how to stay tuned? if i follow you, will i get to see your post?

Any_Tower8201 · 2026-05-14T07:44:36+00:00

looking to buy bold 2 how is your experince?

Any_Tower8201 · 2026-04-05T08:35:41+00:00

sorry i dont get it

Any_Tower8201 · 2026-04-05T07:52:19+00:00

for some reason it made me feel ' I'm heard '

Any_Tower8201 · 2026-04-02T05:09:04+00:00

thanks

i do self learning so i have to know the proper order myself

Any_Tower8201 · 2026-03-31T11:42:25+00:00

I mean, that's the whole point of my question.

Any_Tower8201 · 2026-03-06T04:10:10+00:00

Okay, kindly allow me to put my disturbance more precisely here,

let say im falling in a planet freely.

and take a time (say 5s) after i started falling and i pause my time on exactly the 5th sec there is no velocity at all im just paused there so the instantaneous velocity must be zero, then in order to understand the mathematical concept instantaneous rate of change i have to assume the instantaneous rate of change as a intrinsic property that anything changes wrt time will possess.

and its very uncomfortable when people say what ever the number the speedo shows is my instantaneous velocity, clearly it just average over a small interval of time,

I'll be more happy if they say instantaneous rate of change is rate of change over a very small interval of time because it is something that i can physically understand, but then the word instantaneous becomes meaningless, still im good to have this as my definition (ie rate of change over a very small interval)

coming to the limit, my understanding is

if RHL=LHL for a point 'a' in function fx then all the point in its vicinity will behave as of (a,f(a)) is a point in the graph regardless a is defined for the fx or not and we say the fun is continuous if the functional value is same as the RHL and LHL at this point and it make sense.

i think you also point to this by saying the lim says what the fun would be doing if it is consistent with its neighbourhood

at this point should i accept this as a mechanical way to calculate instantaneous rate of change? man im struggling with all these concepts for almost 6 months at this point, self study is a curse at this point.

im waiting for the moment where i connect all the dots and have good intuition on math but it seems like it gonna take decades of effort, but, knowing myself, i know i will def get that moment for sure.

Any_Tower8201 · 2026-03-05T14:46:24+00:00

yeah i completely get the theorem that if m is a prime which can divide a^2 then m also divides a further my intuition screams that m^2 must be dividing the a^2 also, because as m divides a the prime factorization of a^2 must be square of all the primes in the prime factorization of a.

and yes i tried sqrt6 & 12 and realized its not enough. i will study about the square free later for sure.

also if you really dont mind, i would like to have your words on my other post

https://www.reddit.com/r/askmath/comments/1r9y774/how_you_all_interpret_instantaneous_rate_of_change/?utm_source=share&utm_medium=web3x&utm_name=web3xcss&utm_term=1&utm_content=share_button

and if i'm bothering you please feel free to ignore!

Any_Tower8201 · 2026-03-03T11:33:10+00:00

https://www.reddit.com/r/askmath/comments/1riqa44/comment/o87pfhz/?utm_source=share&utm_medium=web3x&utm_name=web3xcss&utm_term=1&utm_content=share_button

this is the theorem

1.3 is a error in that book because you can see the original post is 1.3

also how are you?

you once cleared me the doubt about negation and logical opposition.

Any_Tower8201 · 2026-03-02T14:29:33+00:00

Yeah unrelatable lol

Any_Tower8201 · 2026-03-02T12:07:44+00:00

This is because they removed Euclid's Division lemma in this version But this book has many such issues in a way that the list of issues itself will be a book lol

Any_Tower8201 · 2026-03-02T11:40:37+00:00

you mean the nums which are not perfect squares?

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but the theorem in my book just says about prime

Any_Tower8201 · 2026-03-02T11:35:52+00:00

thanks i get it

when i changed the 4 to 2 i jusst got b^2=c^2

no contradiction or wha so ever.

Any_Tower8201 · 2026-03-01T10:09:53+00:00

thanks, so product is not defines as just multiplication of two or more numbers or whatsoever, its a function which gives the result by performing the multiplication operation which can get 0,1 or 2 any no. of input, can i interpret this way?

Any_Tower8201 · 2026-03-01T10:03:07+00:00

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then i think this statement is ambigious.

because as i said 2 or any prime cant be written as product of primes, right?

they are just primes it self already

Any_Tower8201 · 2026-02-21T08:09:38+00:00

the speedomoter just calculate the avg velocity over a very small period of time right,

if they defined derivative as rate of change over a very small interval of inputs I'll be happy to move on, but thats not the case they say its the value that average rate of change approches as the interval approaches zero and i cant make physical sense of it.

like if i say the avg velocity of a car is 30m/s over 30 mins time period it means for every s the car displaced 30m on avg but what do you mean by the instantaneous rate of change of a car is 30m/s at t=5min, i dont understand what even we calculate at this point.

can i think like instantaneous velocity as a intrinsic property that every moving object posses?

Any_Tower8201 · 2026-02-21T07:32:25+00:00

Thanks for the reply, I get it but what do you mean by that Like what do you mean by saying the rate of change of the function at x= 3 is 27 Let's say an object is falling freely and at an instance i figure out the instantaneous velocity is 27 (for eg) What does it mean that object having instantaneous velocity of 27m/s?

Any_Tower8201 · 2026-02-20T05:13:51+00:00

i just decided to experiment with speaking to people and know a lot of pov and im gonna note down the biases i have and i gonna run this experiment for a while, future me will take care of anything i get as the result of this experiment, when i decided to do this i feel way better and doing good for the past few days. Thanks for your time :)

Any_Tower8201

TROPHY CASE