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15
Math.TechQA.Club
2018-09-15 06:56:32
53
Views
Let $(A_i\mid i\in I)$ be a family of disjoint sets where $|A_i|=|A_j|\ge\aleph_0\space\forall i\in I$. Is $|\bigcup\limits_{i\in I}A_i|=|A_i|$?
Published on
15 Sep 2018 - 6:56
#elementary-set-theory
#infinity
45
Views
Let $A$ be infinite and $\operatorname{Sq}(A)$ be the set of finite sequences in $A$. Then $A$ and $\operatorname{Sq}(A)$ are equinumerous
Published on
15 Sep 2018 - 9:58
#elementary-set-theory
#proof-verification
#infinity
84
Views
Integrals of $\int^\infty _2 \frac{x}{x^3 -2\sin x}dx$
Published on
18 Sep 2018 - 3:01
#integration
#infinity
110
Views
Comparing the number of real numbers between 2 ranges
Published on
18 Sep 2018 - 10:37
#number-theory
#recreational-mathematics
#infinity
30
Views
Analytical convergence of an equation?
Published on
21 Sep 2018 - 0:13
#sequences-and-series
#convergence-divergence
#summation
#infinity
58
Views
What order of infinity is the set of vectors whose components sum to $0$?
Published on
24 Sep 2018 - 0:39
#elementary-set-theory
#vector-spaces
#cardinals
#infinity
73
Views
Proving that $\tau = \{N,\varnothing\}\cup \{S_n:n\in\mathbf{N}\}$ is a topology on $\mathbf{N}$.
Published on
25 Sep 2018 - 20:04
#general-topology
#proof-verification
#infinity
6.7k
Views
Prove that the summation from n=0 to infinity of a^n is 1/(1-a)
Published on
26 Sep 2018 - 1:22
#calculus
#summation
#infinity
282
Views
Using the Definition of Dedekind-Infinite to Replace the Axiom of Infinity
Published on
25 Mar 2026 - 14:26
#set-theory
#infinity
#axioms
#peano-axioms
326
Views
Computing $\lim_{x\to (3/2)^-} (x^2+1)/(3x-2x^2)$
Published on
28 Sep 2018 - 16:03
#limits
#infinity
163
Views
Divergence of infinite series $(\frac{3k-2}{4k+2})^{2k-3}$
Published on
30 Sep 2018 - 9:17
#calculus
#sequences-and-series
#infinity
#divergent-series
77
Views
ZF + (Weak Axiom) $\vdash$ Dedekind Finite Implies Finite (Direct Proof)
Published on
25 Mar 2026 - 14:23
#set-theory
#infinity
#axiom-of-choice
#axioms
222
Views
Differentiating infinity wrt any variable: is it zero or undefined?
Published on
30 Sep 2018 - 17:42
#calculus
#derivatives
#infinity
1k
Views
What is the difference between an infinite set of 1 dollar bills and an infinite set of 20 dollar bills?
Published on
30 Sep 2018 - 20:33
#calculus
#limits
#infinity
#direct-sum
141
Views
Devils and Infinity
Published on
01 Oct 2018 - 13:06
#infinity
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