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bio website biditacharya.wordpress.com
location Berkeley, CA
age 18
visits member for 2 years, 10 months
seen yesterday

Aspiring mathematician from Nepal, currently a freshman at UC Berkeley
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The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful. - Henri Poincaré.


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Aug
14
comment How to simplify the following basic equation
Do you mean, $\text{originalState} + \Big(\frac{\text{animatedState} \big(100 - 100( \text{finishPos} - x )\big) }{ 100(\text{finishPos} - \text{startPos})}\Big)$
Aug
14
answered Proving that $2^{2^n} + 5$ is always composite by working modulo $3$
Aug
14
comment Help in understanding integration by changing the variable
The "ILATE" mnemonic, as @J.M. mentioned is particularly helpful when you are first starting out but then later on, with practice, you will be able to figure out the way without any mnemonics as such. In fact, I think using the mnemonic, while helpful at the beginning, will hinder you intuitive development when it comes to integrating by parts!
Aug
14
comment Help in understanding integration by changing the variable
I believe you are mistaken. The process of integrating by parts is not related to the derivative of a composite function. As André says, it is pretty much a manipulated version of the product rule for differentiation.
Aug
13
accepted Difference between Dimension of a Linear transformation (space) and the Dimension of its Column Space?
Aug
13
accepted Show that the dimension of a particular linear space is $2$
Aug
8
accepted Proof of a Proposition on Partitions and Equivalence Classes
Aug
8
comment Trouble relating the two definitions of $(\mathbb Z/n\mathbb Z)^\times$
wow... thank you! I think I got it :)
Aug
8
accepted Trouble relating the two definitions of $(\mathbb Z/n\mathbb Z)^\times$
Aug
8
asked Trouble relating the two definitions of $(\mathbb Z/n\mathbb Z)^\times$
Aug
6
revised Combination - How many different ways
Basic Tex formatting and revisions in phrasing
Aug
6
suggested suggested edit on Combination - How many different ways
Aug
6
comment Proof of a Proposition on Partitions and Equivalence Classes
I am sorry, I meant "Doesn't this mean that there has to be as many partitions as the order of $A$ ?"
Aug
6
comment Proof of a Proposition on Partitions and Equivalence Classes
You say that "$\ldots$ for each $x∈A$ there is a unique $i∈I$ such that $x∈A_i \ldots$" Doesn't this mean that there has to be as many partitions as the order of $I$? Am I missing something?
Aug
6
revised Proof of a Proposition on Partitions and Equivalence Classes
added 2 characters in body
Aug
6
comment Proof of a Proposition on Partitions and Equivalence Classes
oh, I got it now. Thanks
Aug
6
comment Proof of a Proposition on Partitions and Equivalence Classes
Also, do I define an arbitrary equivalence relation? Could you please elaborate, I am a high school student. I hope you understand.
Aug
6
comment Proof of a Proposition on Partitions and Equivalence Classes
I am not sure if I follow. What do you mean by "for some $i\in A_i$"?
Aug
6
comment Proof of a Proposition on Partitions and Equivalence Classes
To be honest, I can't wrap my head around the proposition at all. How is it that no matter what kind of partition I choose to work with, I always end up with some collection of equivalence classes?
Aug
6
asked Proof of a Proposition on Partitions and Equivalence Classes