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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 tread-mill is work, while rolling ten-pins 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
comment 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
comment 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
comment An extension of $K$-theory to topological $^*$-algebras
If you want something a bit closer to K-theory for Banach algebras than (notoriously uncomputable) algebraic K-theory, 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
2d
comment An extension of $K$-theory to topological $^*$-algebras
@BranimirĆaćić However, on general Banach $*$-algebras the theories can differ, IIRC
2d
comment 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 3-4/q
Aug
26
accepted A constant associated to the character table of a finite group
Aug
26
comment 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
comment 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
comment 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
comment Projective tensor product of Banach algebras
I'm voting to close this question as off-topic because it is based on an incorrect calculation
Aug
20
comment 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
comment Projective tensor product of Banach algebras
Since $I+J$ need not be closed, you will have problems
Aug
20
comment 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?