Cameron Martin
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 Apr13 comment Strict ceiling and floor notation @Vikram I want the smallest integer strictly greater than $x$. Apr13 comment Strict ceiling and floor notation @Vikram That doesn't work. Consider $x = 0.95$ in $\lceil x + 0.1 \rceil$. Apr13 comment Strict ceiling and floor notation @JordanGlen That notation works great, thanks. Apr13 comment Strict ceiling and floor notation I'd definitely define it for the reader regardless of which notation I used, I was more looking for examples that other people had come up with, so I can pick one that I like. From the answers I'm getting, maybe I didn't make that clear enough. May30 comment Polynomials vs polynomial functions And the elements of $R[X]$ are in no way functions, so we can't write $f(x)$ for $f \in R[X]$? May30 comment Polynomials vs polynomial functions @GitGud So a polynomial function is determined by the values it takes when evaluated in the domain of the function, whereas a polynomial is determined by it's coefficients? May23 comment What does d f(t,x) = 0 mean? @ChristianBlatter What would be a less condensed way of writing this? I'm interested to know where the notation comes from. May23 comment What was the first bit of mathematics that made you realize that math is beautiful? (For children's book) @Cruncher which is zero. $\lim_{n \to \infty} 10^{-n} = 0$, as does $\lim_{n \to \infty} 10^{-n} b$, which corresponds to any $0.000...b_0...b_n$, where $b_k$ is the kth digit of the decimal expansion of b. May22 comment Definition of homogeneous ODE I wish they'd explain this to us, some of our lectures notes are really quite sloppy in areas, mostly with the more applied modules. Thanks anyway :) May22 comment Definition of homogeneous ODE Oh yeah, made an error in the question. Fixed it now. May1 comment How do I prove a basic and obvious-looking set relations? Wouldn't we have to prove it from some axioms of propositional logic? May1 comment How do I prove a basic and obvious-looking set relations? Doesn't this just reduce proving $A=A \cap A$ to proving $a \land a \Leftrightarrow a$? How would you go about proving the latter? May1 comment Vector space C over R's basis is linearly independent So should I just work with ordered pairs all the way through, instead of using $a + bi$ May1 comment Vector space C over R's basis is linearly independent As an ordered pair. And $(a, b) = (0, 0) \Rightarrow a=0 \land b=0$ Apr21 comment Expression as argument in function definition Do you mean $x=c + d \sqrt D$ instead of $x=c + \sqrt d$, or am I mistaken? Apr21 comment Expression as argument in function definition Surely you can choose $D$ to be anything you want though? Why does $D$ have to be the same as $d$? And is the $d$ you're using in your answer the same $d$ as in the question? Apr17 comment Alternative ways to say “if and only if”? @AlexB. I don't follow why that is circular. Surely you want to say both: "If a group G is called simple, then these conditions hold." and "If these conditions hold, then group G is simple." Mar12 comment Proving that an infinite set is uncountable. For a set S to be countable there must exist an injection from N -> S, where N is the set of natural numbers. Mar11 comment Two different coins on a chessboard Remember to mark the question as the accepted answer if you think it is worthy. Mar11 comment Are there any other functions that behave the same as $ce^x$ with respect to differentiation What do you mean by the constants will be different? Wouldn't you get the function $ce^x$, but defined on the domain $(-\infty, 0) \cup (0, \infty)$ when you differentiate it?