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0 votes
0 answers
36 views

Why isn't natural density countably additive on the algebra generated by periodic sets?

-1 votes
0 answers
31 views

Extending proof that $\sigma$-algebras cannot be countable to proof that $\sigma$-algebras are finite or have cardinality $\ge |2^{\mathbb{N}}|$

0 votes
0 answers
51 views

Exercise 4.30 of Eisenbud: how to connect a maximal ideal in a localization with the original ring's property of being finitely generated?

2 votes
1 answer
215 views

What's so special about the number 24 in the definition of the Ramanujan tau function?

8 votes
1 answer
641 views

Geometric intuition for adjoint

2 votes
1 answer
83 views

Are unitarily and orthogonally diagonalizable equivalent over the complex numbers $\mathbb{C}$?

1 vote
0 answers
136 views

How to prove that the vector space of all $n \times n$ matrices is the direct sum of the vector spaces of symmetric and skew-symmetric matrices?

4 votes
2 answers
115 views

Is there any way to refer to a function $f$, without defining $f$? [closed]

0 votes
1 answer
311 views

How to prove that if $T$ is diagonalizable and $T^3=T^2$, $T^2=T$? [duplicate]

1 vote
2 answers
316 views

Help proving $T$ and $S^{-1}TS$ have the same eigenvalues

0 votes
0 answers
40 views

How to prove or disprove that all linear maps from $\mathbb{R}^3$ to $\mathbb{R}^3$ have a real eigenvalue? [duplicate]

2 votes
0 answers
109 views

Can we combine set notation and interval notation?

2 votes
1 answer
138 views

Can we define $\ln(x)$ as a solution of $\frac{d}{dx}(f(x))=\frac{1}{x}$?