Question

Proof By Induction: Summation of Polynomial

score 390 · Answer 1 · 2026-03-28 04:01:52

390

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Proof By Induction: Summation of Polynomial

Published on 28 Mar 2026 - 4:01

score 53 · Answer 2 · 2018-09-01 02:09:51

53

Views

Let $h:I \to I$ be a bijection. Then $\prod\limits_{i\in I}A_i$ and $\prod\limits_{i\in I}A_{h(i)}$ are equinumerous

Published on 01 Sep 2018 - 2:09

score 42 · Answer 3 · 2018-09-01 15:02:54

42

Views

Simple exercise on subspace and product topology

Published on 01 Sep 2018 - 15:02

score 1.2k · Answer 4 · 2026-03-26 06:14:03

1.2k

Views

Proving the supremum of a set in the general case

Published on 26 Mar 2026 - 6:14

score 140 · Answer 5 · 2018-09-01 20:29:34

140

Views

Proof Verification: If a vector space V is a union of k subspaces of its subspaces, prove that V is equal to one of its subspace.

Published on 01 Sep 2018 - 20:29

score 52 · Answer 6 · 2026-03-31 21:13:25

52

Views

Proof Verification: Show that $R = I + J$, where $R$ is a PID and $I,J$ are ideals

Published on 31 Mar 2026 - 21:13

score 106 · Answer 7 · 2026-03-31 15:07:59

106

Views

Proof of: $m = n = 0 \iff m + n =0$ $n,m \in N$

Published on 31 Mar 2026 - 15:07

score 123 · Answer 8 · 2018-09-02 05:58:13

123

Views

Proof related to number of conjugates of an element of a group

Published on 02 Sep 2018 - 5:58

score 1.1k · Answer 9 · 2026-04-01 17:06:53

1.1k

Views

Finding a First Integral of a System of First-Order DEs

Published on 01 Apr 2026 - 17:06

score 201 · Answer 10 · 2026-03-25 06:18:57

201

Views

Proving that a map is bijective

Published on 25 Mar 2026 - 6:18

score 1.4k · Answer 11 · 2026-03-25 16:40:00

1.4k

Views

Subsubgroups are subgroups of subgroups / Multiplicative Property of the Index

Published on 25 Mar 2026 - 16:40

score 59 · Answer 12 · 2018-09-02 10:37:22

59

Views

Countability, separability and Lindelöf of $[-1,1]$ with another topology.

Published on 02 Sep 2018 - 10:37

score 73 · Answer 13 · 2026-03-26 20:44:03

73

Views

Prove that $3^{16} -33$ and $3^{15} +5$ is divisible by 4 by means of binomial theorem

Published on 26 Mar 2026 - 20:44

score 120 · Answer 14 · 2018-09-02 15:40:22

120

Views

Prove additive function has property f(-x)=-f(x)

Published on 02 Sep 2018 - 15:40

score 55 · Answer 15 · 2018-09-02 17:14:35

55

Views

Proof Verification: Possibilities for the rank of a composition of 2 transformations

Published on 02 Sep 2018 - 17:14

List Question

Proof By Induction: Summation of Polynomial

Let $h:I \to I$ be a bijection. Then $\prod\limits_{i\in I}A_i$ and $\prod\limits_{i\in I}A_{h(i)}$ are equinumerous

Simple exercise on subspace and product topology

Proving the supremum of a set in the general case

Proof Verification: If a vector space V is a union of k subspaces of its subspaces, prove that V is equal to one of its subspace.

Proof Verification: Show that $R = I + J$, where $R$ is a PID and $I,J$ are ideals

Proof of: $m = n = 0 \iff m + n =0$ $n,m \in N$

Proof related to number of conjugates of an element of a group

Finding a First Integral of a System of First-Order DEs

Proving that a map is bijective

Subsubgroups are subgroups of subgroups / Multiplicative Property of the Index

Countability, separability and Lindelöf of $[-1,1]$ with another topology.

Prove that $3^{16} -33$ and $3^{15} +5$ is divisible by 4 by means of binomial theorem

Prove additive function has property f(-x)=-f(x)

Proof Verification: Possibilities for the rank of a composition of 2 transformations

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