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May
13
awarded  Nice Answer
May
12
answered Theorem 1 in Khinchin's “Continued Fractions”
May
12
answered The number of elements in a set
May
12
reviewed Leave Open How to detect all points of rectangle by given one point A, height, width, and angle between AC and X axis?
May
12
comment Theorem 1 in Khinchin's “Continued Fractions”
Yes, but the situation to which formula (6) is applied in the proof of Theorem 1 doesn't seem to be of that form.
May
12
reviewed Close What are some good math books 1st grade highschool student can understand?
May
12
reviewed Leave Open What's the maximum speed of snake so that the frog can escape?
May
12
reviewed Leave Open Can anyone help me with this improper integral?
May
12
reviewed Leave Open Working out my exam grade
May
12
reviewed Leave Open Generalization of Chinese Remainder Theorem
May
12
asked Theorem 1 in Khinchin's “Continued Fractions”
May
12
answered Parabolas and lines…
May
12
comment What is the motivation for analytic solutions in Mathematical Physics?
@VladimirSotirov I suppose formulae are better viewed as a subset of quantitative knowledge rather than a different kind of knowledge altogether. It's true that if formulae didn't provide numerical output, they wouldn't be as interesting, because the foundation (maybe even the definition) of physics is the quantification of the natural world. Still, my fundamental point is correct: a formula is a distinct piece of knowledge, interesting in its own right, to a mere table of numbers, and not simply a tool to obtain such a table.
May
12
answered What is the motivation for analytic solutions in Mathematical Physics?
May
11
comment Precise meaning of “extension”?
You can basically replace "extension" by "members".
May
11
comment Need a counter example for cycle in a graph
The idea is that a graph contains no cycle if and only if it's a tree, in the common sense of the word tree as a graph that can be drawn as a series of branching paths terminating in leaves. The degree one vertices are precisely the leaves and the root, and a tree has at least one leaf, so with the root that's a minimum of two vertices of degree 1.
May
11
answered Find $\lim_{x\to \infty} \sin\left(\frac 1x\right) $
May
11
reviewed Leave Open dimension of a direct sum is the sum of the separate dimensions
May
11
reviewed Leave Open How to prove this inequality $(\sum_i x_i y_i)^2 - \sum_i x_i^2y_i^2 \leq 1-1/n$?
May
11
reviewed Leave Open Can anyone explain why this series converges?