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

45 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

36 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

32 votes

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

calculus integration definite-integrals asked Jun 20 '19 at 5:31

math.stackexchange.com

22 votes

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

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

math.stackexchange.com

21 votes

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

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

physics.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

15 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

14 votes

Is there an efficient method for the calculation of $e^{1/e}$?

algorithms numerical-methods constants asked Sep 5 '13 at 6:49

math.stackexchange.com

Top Answers

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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: $\int_{0}^{\infty} x^{-x}\ dx$

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

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

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

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

Is there an efficient method for the calculation of $e^{1/e}$?