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15
Math.TechQA.Club
2026-04-26 08:36:02
97
Views
Proving $A - B \subset A - (B - A)$
Published on
26 Apr 2026 - 8:36
#elementary-set-theory
#proof-explanation
#solution-verification
139
Views
Let $V(\Bbb K),\dim V=n$ and $B=\{v_1,\ldots,v_n\}$ a base of $V$. Prove any $S\subseteq B, S\ne\emptyset$ is linearly independent.
Published on
17 Apr 2026 - 13:02
#linear-algebra
#proof-explanation
50
Views
Proving $A \cap (B - C) = (A \cap B) - (A \cap C)$
Published on
15 Apr 2026 - 19:06
#elementary-set-theory
#proof-explanation
236
Views
Question about product of generating functions in a proof that for positive integer $n$, $\sum_{k=0}^n(-1)^k\binom nk\binom{2n-k}n=1$.
Published on
16 Apr 2026 - 10:08
#summation
#proof-explanation
#binomial-coefficients
#generating-functions
103
Views
How to prove $\int_0^\infty\int_0^\infty e^{-x^2 -y^2}dxdy= (\int_0^\infty e^{-x^2}dx)(\int_0^\infty e^{-y^2}dy)$?
Published on
15 Apr 2026 - 22:13
#integration
#multivariable-calculus
#proof-explanation
#improper-integrals
34
Views
Proving $(A \cup B) - (A \cup C) \subset A \cup (B - C)$
Published on
14 Apr 2026 - 23:39
#elementary-set-theory
#proof-explanation
150
Views
Help in understand some steps of the proof of the Rellich-Kondrachov theorem for compact Riemannian manifolds in Thierry Aubin's book
Published on
14 Apr 2026 - 8:20
#proof-explanation
#riemannian-geometry
#sobolev-spaces
64
Views
Finding a matrix $A$'s eigenvalues from its square $A^2$'s eigenvalues
Published on
11 Apr 2026 - 0:25
#linear-algebra
#eigenvalues-eigenvectors
#proof-explanation
600
Views
Proof verification: find all positive integers $a$ and $b$ such that $a^b=b^a$.
Published on
24 Apr 2026 - 6:34
#elementary-number-theory
#proof-explanation
#solution-verification
151
Views
Prove that every measure space has a completion.
Published on
11 Apr 2026 - 12:38
#measure-theory
#proof-explanation
158
Views
Double Induction on Ramsey's Theorem
Published on
12 Apr 2026 - 0:37
#graph-theory
#proof-explanation
#ramsey-theory
46
Views
understanding a statement in the proof of a retract of a contractible space is contractible.
Published on
09 Apr 2026 - 12:12
#general-topology
#algebraic-topology
#proof-explanation
#homotopy-theory
#retraction
148
Views
Why does $\frac{|\sin\theta|}{2}<\frac{|\theta|}{2}<\frac{|\tan\theta|}{2}$ not imply that $1>\lim_{\theta\to 0}\frac{\sin\theta}{\theta}>1$?
Published on
24 Apr 2026 - 9:33
#limits
#trigonometry
#proof-explanation
#solution-verification
73
Views
Determining $(A \times B) \cup (C \times D) \stackrel{?}{=} (A \cup C) \times (B \cup D)$
Published on
16 Apr 2026 - 3:04
#elementary-set-theory
#proof-explanation
61
Views
Proving intersection of empty set is the set of all sets
Published on
16 Apr 2026 - 2:52
#elementary-set-theory
#proof-explanation
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