1,427 reputation
828
bio website biditacharya.wordpress.com
location Berkeley, CA
age 19
visits member for 3 years, 4 months
seen Sep 22 at 8:46

Freshman at UC Berkeley. Originally from Nepal

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 Proving that $\mu$ is $\sup S$
Spot on! :) The question says that $\mu$ is the supremum iff there is an element of $S$ in the interval. But what we just did was started out by assuming that there is no element of $S$ in the interval and proved that if this is the case, then $\mu \ne \sup S$. So, for $\mu = \sup S$, there has to be an element of $S$ in the interval
Aug
14
comment Proving that $\mu$ is $\sup S$
I could elaborate more if you'd like to
Aug
14
comment Are all infinities equal?
I do not mean to do any self-marketing but if you want to learn about this from the beginning, try out this blog post that was recently wrote by me wp.me/p2aEXv-2N . I am writing a follow up article to this and it will be out very soon
Aug
14
comment Proving that $\mu$ is $\sup S$
$\lambda \not \in S$ means that $\lambda$ is a upper bound for $S$ which is less than $\mu$. If you remember, one of the properties of the least upper bound is that if there exists a quantity that is less than the least upper bound (say $l$), that quantity has to be in the set under consideration. Or else, $l$ can't be the least upper bound
Aug
14
comment Proving that $\mu$ is $\sup S$
Assume that for some $\epsilon >0$, $\not{\exists} x \in [\mu -\epsilon , \mu]$, such that $x\in S$. This implies that $\exists \lambda < \mu$ where $\lambda \not \in S \implies \mu \ne \sup S$. So if $\mu = \sup S$ then has to be an element of S in the interval $[μ−ϵ,μ]$
Aug
14
revised Proving that $2^{2^n} + 5$ is always composite by working modulo $3$
added 326 characters in body
Aug
14
revised Find all integer solutions to $7595x + 1023y=124$
edited tags
Aug
14
comment Find all integer solutions to $7595x + 1023y=124$
Are $x,y \in \mathbb Z$?
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