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David

University of New South Wales, Australia

http://web.science.unsw.edu.au/~angell/

My icon is the graph of the exponential sum $$\sum_{n=1}^{10620} e^{2\pi if(n)}$$ for $$f(n)=\frac{n}{20}+\frac{n^2}{9}+\frac{n^3}{59}\ ,$$ where the "graph" of an exponential sum means the sequence of partial sums, plotted in the complex plane, with successive points joined by straight line segments.

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122
Don't see the point of the Fundamental Theorem of Calculus.
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101
Meaning of $\frac{x-y}{y}$ versus $\frac{x}{y}-1$
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97
Subtraction when second number is bigger than first number
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84
Are Mersenne prime exponents always odd?
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74
A real number $x$ such that $x^n$ and $(x+1)^n$ are rational is itself rational
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65
Why are integers subset of reals?
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53
$\ln|x|$ vs.$\ln(x)$? When is the $\ln$ antiderivative marked as an absolute value?
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52
Geometric mean of reals between 0 and 1
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47
How to determine without calculator which is bigger, $\left(\frac{1}{2}\right)^{\frac{1}{3}}$ or $\left(\frac{1}{3}\right)^{\frac{1}{2}}$
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43
To prove that $ [n/1]+ [n/2]+[n/3]+\dots +[n/n]+[\sqrt{n}]$ is even.
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41
Proof that the cross product is not associative without using components
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37
Matrix with zeros on diagonal and ones in other places is invertible
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36
Which definition of "power" is true: Britannica's or Wikipedia's?
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32
When working proof exercises from a textbook with no solutions manual, how do you know when your proof is sound/acceptable?
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31
Confusion about Tao's construction of reals
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26
Why can't we remove the sqrt from rms?
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26
Visual explanation of the following statement:
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25
What are some interesting sole exceptions or counterexamples?
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25
Can a set be infinite and bounded?
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23
Show that $A = \{p\in\mathbb{ Q}^+\mid p^2<2\}$ contains no largest number and $B= \{p\in\mathbb {Q}^+\mid p^2>2\}$ contains no smallest number
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23
How to find $\int_0^\infty \prod_{k=1}^n \frac{\sin \frac{x}{2k-1}}{\frac{x}{2k-1}}\mathrm dx$
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23
Why are irrational numbers such a big deal?
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22
Is this a valid proof that there are infinitely many natural numbers?
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21
Sets of Prime and Composite Numbers
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21
Given two real sequences that go to infinity, is it possible to select two subsequences that grow at the same rate asympotically?
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19
What is $\cdots ((((1/2)/(3/4))/((5/6)/(7/8)))/(((9/10)/(11/12))/((13/14)/(15/16))))/\cdots$?
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19
Give the remainder of $x^{100}$ divided by $(x-2)(x-1)$.
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19
When does $(uv)'=u'v'?$
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19
Find the value of $\sin\frac{2\pi}{7}+\sin\frac{4\pi}{7}+\sin\frac{8\pi}{7}$
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19
Vertical bar sign in Discrete mathematics
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