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15
Math.TechQA.Club
2026-04-15 08:56:20
84
Views
$R=\{ (a,b)\in A\times A\mid{}$ for every $X\subseteq A\smallsetminus\{a,b\}$, if $X \cup \{a\} \in F$ then $X\cup \{b\}\in F\} $ is transitive.
Published on
15 Apr 2026 - 8:56
#elementary-set-theory
#relations
#proof-explanation
273
Views
How to understand the construction of these trigonometric polynomials?
Published on
11 Apr 2026 - 16:57
#real-analysis
#functional-analysis
#fourier-analysis
#problem-solving
#proof-explanation
1.9k
Views
What is the difference between a formula and a proof?
Published on
08 Apr 2026 - 16:47
#proof-explanation
45
Views
Prove that $L(C_x)=L(C_y)$ when $I(C_x)=I(C_y)$
Published on
15 Apr 2026 - 11:41
#general-topology
#proof-writing
#proof-explanation
#alternative-proof
198
Views
Clarifying the proof of Theorem 5 in Pratulananda Das's "Some further results on ideal convergence in topological spaces"
Published on
12 Apr 2026 - 10:57
#general-topology
#convergence-divergence
#ideals
#proof-explanation
274
Views
What is the significance of dividing the euclidean metric by $\sqrt{n}$?
Published on
16 Apr 2026 - 21:28
#general-topology
#geometry
#metric-spaces
#proof-explanation
690
Views
Let $N$ be a finite subgroup of G. Show that $ gNg^-1 \subseteq N$ iff $gNg^-1 = N$
Published on
15 Apr 2026 - 20:41
#group-theory
#proof-verification
#proof-explanation
46
Views
proof of theorem $7$ of Some further results on ideal convergence in topological spaces Pratulananda Das
Published on
11 Apr 2026 - 15:00
#general-topology
#notation
#proof-explanation
#uniform-spaces
53
Views
What is the usual relationship between $L(x)$ and $I(C_x)\ ?$
Published on
12 Apr 2026 - 5:27
#general-topology
#ideals
#proof-explanation
82
Views
Proof that ${n\choose r}$ always yields a natural number proof by induction
Published on
18 Apr 2026 - 2:53
#calculus
#induction
#proof-explanation
877
Views
In metric space, show if a set is open, then its complement is closed.
Published on
17 Apr 2026 - 7:21
#real-analysis
#proof-verification
#metric-spaces
#proof-explanation
108
Views
Proving by induction that $\sum\limits_{k=2}^n \frac1{k^2}\le 1$
Published on
18 Apr 2026 - 7:47
#inequality
#induction
#proof-explanation
68
Views
Why $A(d) = {\{x \ : \ 1 \le x \le p - 1 \ \ \text{and}\ \ \text{exp}_p(x) = d}\}$ are disjoint?
Published on
16 Apr 2026 - 14:50
#analytic-number-theory
#proof-explanation
#congruences
77
Views
Find square and triangular numbers
Published on
14 Apr 2026 - 17:10
#number-theory
#elementary-number-theory
#proof-verification
#proof-explanation
#square-numbers
131
Views
How do I do this proof? $(A \cup B) - C = (A - C) \cup B \iff B \cap C = \emptyset$
Published on
13 Apr 2026 - 1:38
#elementary-set-theory
#proof-writing
#proof-explanation
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