Michael Boratko

2,919 reputation

519

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	location	Connecticut
	age	26
visits	member for	1 year, 7 months
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First year graduate student in math at UMass Amherst.

	2,919 reputation	bio	website		visits	member for	1 year, 7 months
519 badges		location	Connecticut		seen	yesterday

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May 15	awarded	Caucus
May 15	revised	If $A,B\in M(2,\mathbb{F})$ and $AB=I$, then $BA=I$ added 421 characters in body
May 15	answered	If $A,B\in M(2,\mathbb{F})$ and $AB=I$, then $BA=I$
Dec 18	comment	How to come up with a formula for converting a set of numbers? This is the sort of thing regression is good for.
Dec 18	comment	Upper Triangular Form of a Matrix I would recommend reading the Wikipedia entry on Jordan Normal Form.
Dec 18	comment	Find a pair of polynomials @AdenDong I'm glad my hint helped then :)
Dec 18	comment	Find a pair of polynomials @AdenDong Good to know. You could also just let $r(x)=1$.
Dec 18	comment	Find a pair of polynomials @AdenDong Glad to hear it! Did yours make use of the $r(x)$ polynomial? I was surprised that we didn't need it, and thought perhaps I had made a mistake.
Dec 18	answered	Find a pair of polynomials
Dec 18	comment	Find a pair of polynomials Here's what we know: $a^2=1-2a$ and $b^2=1-4b$, so any time we consider polynomials in $c$ we get some polynomial which we can always reduce to something with just $a$, $b$, and $ab$ (no higher powers).
Dec 17	comment	What exactly is infinity? @ColeJohnson Just because some things which are not real numbers have that property does not mean all things which are not real numbers do.
Dec 17	comment	Is the vector in the span? To do this, in general, I recommend checking out this previous answer.
Dec 17	comment	complex numbers @Nick If you've figured it out, feel free to post an answer (and accept it).
Dec 17	answered	parametric curves, parameter and integration
Dec 16	awarded	Suffrage
Dec 16	comment	Resolve rational indefinite integral I have added LaTeX to your question, please let me know if I have inadvertently changed the meaning.
Dec 16	revised	Resolve rational indefinite integral Latex
Dec 16	comment	Number of polynomfunctions $\mathbb{Z}_3 \rightarrow \mathbb{Z}_3$ There are 27 functions from $\mathbb Z_3 \to \mathbb Z_3$. Are polynomial functions considered equal iff they have the same coefficients, or are the equal iff they are equal as functions?
Dec 16	revised	Solving an equation with an integral added 1 characters in body
Dec 16	comment	proving cauchy condensation test Actually, your $\Leftarrow$ argument needs to be slightly modified - write the string of series equalities in the other direction, since we know that the series $\sum 2^n a_{2^n}$ converges then you can ungroup the terms in the way that you want to.