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"If he had been a great and wise philosopher... he would now have comprehended that Work consists of whatever a body is obliged to do, and that Play consists of whatever a body is not obliged to do. And this would help him to understand why constructing artificial flowers or performing on a treadmill is work, while rolling tenpins or climbing Mont Blanc is only amusement."
 from The Adventures of Tom Sawyer by Mark Twain 
20h

reviewed  Leave Open Properties of Coefficients of Order Polynomials 
2d

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Why should we care about “higher infinities” outside of set theory?
A question from the OP: does "conflict with" mean something different from "lead to conclusions inconsistent with"? 
2d

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Why should we care about “higher infinities” outside of set theory?
@trb456 Your question seems different from the original, since you ask "if we only know" rather than "we assert that two sets have the same cardinality" 
2d

reviewed  Leave Open Orthogonal polynomials with respect to the lognormal distribution 
2d

reviewed  Close How to convert a row of matrix as ordered pairs in matlab? 
2d

reviewed  Close Permutations of given length 
2d

reviewed  Leave Open An eigenvalue convergence question 
2d

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An extension of $K$theory to topological $^*$algebras
If you want something a bit closer to Ktheory for Banach algebras than (notoriously uncomputable) algebraic Ktheory, how about the variants explored by Cuntz and others? See springer.com/us/book/9783764383985 for some blurb and perhaps some pointers to the literature  I'm afraid I don't really know enough about said literature, though 
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An extension of $K$theory to topological $^*$algebras
@BranimirĆaćić However, on general Banach $*$algebras the theories can differ, IIRC 
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A constant associated to the character table of a finite group
That's good to know. I think that for the affine group of a finite field of order q one should get 34/q 
Aug
26 
accepted  A constant associated to the character table of a finite group 
Aug
26 
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A constant associated to the character table of a finite group
Thanks! I'll take your word for it that code works... 
Aug
23 
reviewed  Leave Open Parameterizing rotations of a cube 
Aug
23 
reviewed  Leave Open Arithmetical complexity of substitution method for solving systems of linear equations 
Aug
23 
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embbeing torus into compact lie group or inclusion torus into compact lie group
What exactly do you want to know about such examples? 
Aug
20 
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No Hilbert space can have countable Hamel basis without using Baire's Category theorem
The language "I have to prove" means, to me, a need or a demand. This makes it sound like an assigned task. Most BC arguments can be converted to sliding hump arguments, anyway 
Aug
20 
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Projective tensor product of Banach algebras
I'm voting to close this question as offtopic because it is based on an incorrect calculation 
Aug
20 
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Projective tensor product of Banach algebras
Moreover, as Norbert points out, your claim is false for $A={\mathbb C}^4$, $I$ the span of the first two basis vectors, $J$ the span of the last two basis vectors 
Aug
20 
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Projective tensor product of Banach algebras
Since $I+J$ need not be closed, you will have problems 
Aug
20 
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No Hilbert space can have countable Hamel basis without using Baire's Category theorem
What do you mean when you say "I have to prove..."? Why are you not allowed to use the Baire category theorem? 