Question

Non-elementwise Proof for Decomposition of a Module into Direct Sum of Kernel and Image of an Idempotent Morphism

score 453 · Answer 1 · 2026-03-27 22:52:53

453

Views

Non-elementwise Proof for Decomposition of a Module into Direct Sum of Kernel and Image of an Idempotent Morphism

Published on 27 Mar 2026 - 22:52

score 26 · Answer 2 · 2020-04-22 10:15:02

26

Views

Vertex coloring of non simple line arrangement

Published on 22 Apr 2020 - 10:15

score 309 · Answer 3 · 2026-03-27 01:44:20

309

Views

In a normed vector space,open connected set is path-connected.(Proof using equivalence relation)

Published on 27 Mar 2026 - 1:44

score 88 · Answer 4 · 2026-03-27 20:22:30

88

Views

Prove that $3x^3-41x+48\leq 0$ for $x \in [\sqrt 3, \sqrt 6]$

Published on 27 Mar 2026 - 20:22

score 749 · Answer 5 · 2020-04-24 01:27:42

749

Views

Let $K$ be a field containing an integral domain $D$ and $F$ be the field of quotients of $D$. Then $K$ contains a field isomorphic to $F$.

Published on 24 Apr 2020 - 1:27

score 90 · Answer 6 · 2020-04-24 03:33:23

90

Views

Show that the set $P_F$ of all polynomial functions on $F$ forms a subring of $F^F$. using the subring test

Published on 24 Apr 2020 - 3:33

score 410 · Answer 7 · 2020-04-24 05:52:28

410

Views

Homework proof of cubic polynomial

Published on 24 Apr 2020 - 5:52

score 67 · Answer 8 · 2026-03-27 19:33:18

67

Views

Prove that $(\frac{\pi}{3})^{\frac{3}{\pi}}+(\frac{3}{\pi})<2$

Published on 27 Mar 2026 - 19:33

score 359 · Answer 9 · 2026-03-25 23:08:56

359

Views

Products in the free group are associative

Published on 25 Mar 2026 - 23:08

score 79 · Answer 10 · 2020-04-24 16:21:33

79

Views

Synthetic Proof for a Geometry problem

Published on 24 Apr 2020 - 16:21

score 381 · Answer 11 · 2026-03-29 22:39:48

381

Views

Use the quadratic formula to derive the Cauchy-Schwarz Inequality.

Published on 29 Mar 2026 - 22:39

score 1k · Answer 12 · 2020-04-25 00:19:33

1k

Views

prove existence of nth roots for non-negative real numbers

Published on 25 Apr 2020 - 0:19

score 172 · Answer 13 · 2026-03-31 18:55:41

172

Views

Showing that if $X$ is finite and $R$ is a relation on $X$, then there exists $r,s\in\mathbb{N}$ such that $R^r=R^s$

Published on 31 Mar 2026 - 18:55

score 6.3k · Answer 14 · 2020-04-26 14:34:13

6.3k

Views

In how many different ways can you prove that $\sin^2x + \cos^2x = 1$

Published on 26 Apr 2020 - 14:34

score 49 · Answer 15 · 2020-04-27 09:13:46

49

Views

Prove that $2\lg(n+1)-2\le 2\lg n,$ given $n\ge 1$

Published on 27 Apr 2020 - 9:13

List Question

Non-elementwise Proof for Decomposition of a Module into Direct Sum of Kernel and Image of an Idempotent Morphism

Vertex coloring of non simple line arrangement

In a normed vector space,open connected set is path-connected.(Proof using equivalence relation)

Prove that $3x^3-41x+48\leq 0$ for $x \in [\sqrt 3, \sqrt 6]$

Let $K$ be a field containing an integral domain $D$ and $F$ be the field of quotients of $D$. Then $K$ contains a field isomorphic to $F$.

Show that the set $P_F$ of all polynomial functions on $F$ forms a subring of $F^F$. using the subring test

Homework proof of cubic polynomial

Prove that $(\frac{\pi}{3})^{\frac{3}{\pi}}+(\frac{3}{\pi})<2$

Products in the free group are associative

Synthetic Proof for a Geometry problem

Use the quadratic formula to derive the Cauchy-Schwarz Inequality.

prove existence of nth roots for non-negative real numbers

Showing that if $X$ is finite and $R$ is a relation on $X$, then there exists $r,s\in\mathbb{N}$ such that $R^r=R^s$

In how many different ways can you prove that $\sin^2x + \cos^2x = 1$

Prove that $2\lg(n+1)-2\le 2\lg n,$ given $n\ge 1$

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