The_Sympathizer

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Is it possible for a function to be smooth everywhere, analytic nowhere, yet Taylor series at any point converges in a nonzero radius?

calculus real-analysis power-series analyticity asked Dec 28 '13 at 9:06

math.stackexchange.com

Is there an “elegant” non-recursive formula for these coefficients? Also, how can one get proofs of these patterns?

co.combinatorics fa.functional-analysis fourier-analysis sequences-and-series fractional-iteration asked Mar 7 '11 at 2:10

mathoverflow.net

33 votes

Is it legal to use GPL code in a proprietary, closed-source program by putting it in a separate, standalone program?

gpl proprietary-code asked Jul 9 '18 at 7:46

opensource.stackexchange.com

30 votes

A “mother of all groups”? What kind of structures have “mother of all”s?

gr.group-theory lo.logic set-theory ct.category-theory asked Apr 1 '13 at 7:41

mathoverflow.net

28 votes

The “natural” Sophomore's Dream integral: $\int_{0}^{\infty} x^{-x}\ dx$

calculus integration definite-integrals asked Jun 20 at 5:31

math.stackexchange.com

19 votes

Question about the Dedekind completion of a non-archimedean ordered field.

abstract-algebra asked May 12 '13 at 8:46

math.stackexchange.com

14 votes

Visualizing quotient groups: $\mathbb{R/Q}$

group-theory topological-groups visualization asked Aug 13 '12 at 23:23

math.stackexchange.com

14 votes

“Wheel Theory”, Extended Reals, Limits, and “Nullity”: Can DNE limits be made to equal the element “$0/0$”?

abstract-algebra general-topology limits asked Oct 28 '14 at 4:08

math.stackexchange.com

13 votes

What does an orbital mean in atoms with multiple electrons? What do the orbitals of Helium look like?

quantum-mechanics atomic-physics atoms asked Dec 15 '15 at 1:06

physics.stackexchange.com

12 votes

Why is it that forces like gravity and electricity (approximately) basically act between pairs of bodies only?

forces classical-mechanics newtonian-gravity coulombs-law interactions asked May 7 at 2:34

physics.stackexchange.com

Top Answers

118

What is the intuition behind uniform continuity?

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Graphs for which a calculus student can reasonably compute the arclength

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Why write ten as $10$ and not as $00$

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Pathology in Complex Analysis

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Holomorphic and analytic functions.

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Suppose $f(x) = \begin{cases} 0, & \text{if x is rational},\\ x^2, & \text{if x is irrational} \end{cases}$. Prove that $\lim_{x\to 0} f(x) = 0$

math.stackexchange.com

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Sine of a Complex Number

math.stackexchange.com

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The_Sympathizer

Is it possible for a function to be smooth everywhere, analytic nowhere, yet Taylor series at any point converges in a nonzero radius?

Is there an “elegant” non-recursive formula for these coefficients? Also, how can one get proofs of these patterns?

Is it legal to use GPL code in a proprietary, closed-source program by putting it in a separate, standalone program?

A “mother of all groups”? What kind of structures have “mother of all”s?

The “natural” Sophomore's Dream integral: $\int_{0}^{\infty} x^{-x}\ dx$

Question about the Dedekind completion of a non-archimedean ordered field.

Visualizing quotient groups: $\mathbb{R/Q}$

“Wheel Theory”, Extended Reals, Limits, and “Nullity”: Can DNE limits be made to equal the element “$0/0$”?

What does an orbital mean in atoms with multiple electrons? What do the orbitals of Helium look like?

Why is it that forces like gravity and electricity (approximately) basically act between pairs of bodies only?