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Mathematics

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 Favorite Question
Question saved by 25 users. This badge can be awarded multiple times.
Awarded 3292 times.
Prove that if $\sum{a_n}$ converges absolutely, then $\sum{a_n^2}$ converges absolutely
Awarded Jun 4, 2024 at 6:12
What are the best books to study Neural Networks from a purely mathematical perspective?
Awarded Jun 3, 2024 at 18:27
A very odd resolution to an integral equation
Awarded Jun 2, 2024 at 20:16
How are topological invariants obtained from TQFTs used in practice?
Awarded Jun 1, 2024 at 7:42
Set, n-Tuple, Vector and Matrix — links and differences
Awarded May 30, 2024 at 22:56
Is First Order Logic (FOL) the only fundamental logic?
Awarded May 30, 2024 at 17:31
Understanding the definition of tensors as multilinear maps
Awarded May 28, 2024 at 3:12
Can a complex number ever be considered 'bigger' or 'smaller' than a real number, or vice versa?
Awarded May 20, 2024 at 15:04
Why are we justified in using the real numbers to do geometry?
Awarded May 17, 2024 at 13:15
Finding the number of elements of particular order in the symmetric group
Awarded May 16, 2024 at 18:57
What is the best way to calculate log without a calculator?
Awarded May 16, 2024 at 3:04
Understanding the singular value decomposition (SVD)
Awarded May 15, 2024 at 13:48
The preimage of continuous function on a closed set is closed.
Awarded May 15, 2024 at 13:48
Cauchy-Riemann equations in polar form. [duplicate]
Awarded May 15, 2024 at 12:31
Find the square root of a matrix
Awarded May 13, 2024 at 6:47
Why gradient vector is perpendicular to the plane
Awarded May 10, 2024 at 20:27
The characteristic and minimal polynomials of a companion matrix
Awarded May 10, 2024 at 12:11
Proof that Pi is constant (the same for all circles), without using limits
Awarded May 3, 2024 at 18:34
Appropriate Notation: $\equiv$ versus $:=$
Awarded May 3, 2024 at 7:26
Help me put these enormous numbers in order: googol, googol-plex-bang, googol-stack and so on
Awarded May 2, 2024 at 14:40
Why do proof authors use natural language sentences to write proofs?
Awarded Apr 28, 2024 at 4:17
Proving that $\int_0^1 \frac{\log \left(\frac{1}{t}\right) \log (t+2)}{t+1} \, dt=\frac{13}{24} \zeta (3)$
Awarded Apr 26, 2024 at 18:47
Existence of a local geodesic frame
Awarded Apr 23, 2024 at 13:51
Probability that a quadratic polynomial with random coefficients has real roots
Awarded Apr 22, 2024 at 5:51
Proof Verification - Every sequence in $\Bbb R$ contains a monotone sub-sequence
Awarded Apr 20, 2024 at 21:26
Easiest and most complex proof of $\gcd (a,b) \times \operatorname{lcm} (a,b) =ab.$
Awarded Apr 18, 2024 at 6:56
Calculate the expected value of $Y=e^X$ where $X \sim N(\mu, \sigma^2)$
Awarded Apr 15, 2024 at 19:42
What *is* affine space?
Awarded Apr 13, 2024 at 18:46
How to develop patience in mathematics?
Awarded Apr 8, 2024 at 21:06
Jensen's inequality for integrals
Awarded Apr 8, 2024 at 10:46
"Standard" ways of telling if an irreducible quartic polynomial has Galois group $C_4$?
Awarded Apr 8, 2024 at 10:46
Meaning of the identity $\det(A+B)+\text{tr}(AB) = \det(A)+\det(B) + \text{tr}(A)\text{tr}(B)$ (in dimension $2$)
Awarded Apr 1, 2024 at 9:26
Solution to General Linear SDE
Awarded Mar 19, 2024 at 8:11
Description of SU(1, 1)
Awarded Mar 19, 2024 at 5:07
If a coin toss is observed to come up as heads many times, does that affect the probability of the next toss?
Awarded Mar 18, 2024 at 23:02
How to integrate $ \int \frac{x}{\sqrt{x^4+10x^2-96x-71}}dx$?
Awarded Mar 17, 2024 at 19:41
Exponential of powers of the derivative operator
Awarded Mar 17, 2024 at 15:57
$x^2 +y^2 + z^2$ is irreducible in $\mathbb C [x,y,z]$
Awarded Mar 16, 2024 at 6:26
How do you show that $e^{-1/x^2}$ is differentiable at $0$?
Awarded Mar 16, 2024 at 5:17
A $p$-group of order $p^n$ has a normal subgroup of order $p^k$ for each $0\le k \le n$
Awarded Mar 15, 2024 at 12:40
A question about Sylow subgroups and $C_G(x)$
Awarded Mar 15, 2024 at 12:40
Difference between least squares and minimum norm solution
Awarded Mar 15, 2024 at 6:27
"false implies true" is a true statement [duplicate]
Awarded Mar 14, 2024 at 17:35
Good PDE books for a graduate student?
Awarded Mar 13, 2024 at 19:46
Guessing a subset of $\{1,...,N\}$
Awarded Mar 12, 2024 at 19:10
Why is TREE(3) so big? (Explanation for beginners)
Awarded Mar 9, 2024 at 13:06
Newman's "Natural proof"(Analytic) of Prime Number Theorem (1980)
Awarded Mar 8, 2024 at 17:42
Infinite Product $\prod\limits_{k=1}^\infty\left({1-\frac{x^2}{k^2\pi^2}}\right)$
Awarded Mar 6, 2024 at 3:25
How to learn commutative algebra?
Awarded Mar 3, 2024 at 11:15
Where to begin in approaching Stochastic Calculus?
Awarded Mar 2, 2024 at 22:41
How to find $\lim_{n \to \infty} \int_0^1 \cdots \int_0^1 \sqrt{x_1+\sqrt{x_2+\sqrt{\dots+\sqrt{x_n}}}}dx_1 dx_2\dots dx_n$
Awarded Feb 29, 2024 at 4:10
Prove $0! = 1$ from first principles
Awarded Feb 27, 2024 at 22:47
Proving $1^3+ 2^3 + \cdots + n^3 = \left(\frac{n(n+1)}{2}\right)^2$ using induction [duplicate]
Awarded Feb 27, 2024 at 22:47
math fallacy problem: $-1= (-1)^3 = (-1)^{6/2} = \sqrt{(-1)^6}= 1$?
Awarded Feb 27, 2024 at 22:47
Showing that $\int_0^1 \log(\sin \pi x)dx=-\log2$
Awarded Feb 25, 2024 at 14:47
Induced short exact sequence on wedge product
Awarded Feb 24, 2024 at 18:41
Precise definition of the support of a random variable
Awarded Feb 20, 2024 at 8:57
What is the difference between topological and metric spaces?
Awarded Feb 20, 2024 at 5:40
Do harmonic numbers have a “closed-form” expression?
Awarded Feb 16, 2024 at 0:18
Why should faithfully flat descent preserve so many properties?
Awarded Feb 15, 2024 at 17:21
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