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Proving whether the set of third degree polynomial is not a vector space?

score 5.8k · Answer 1 · 2026-03-27 14:28:41

5.8k

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Proving whether the set of third degree polynomial is not a vector space?

Published on 27 Mar 2026 - 14:28

score 65 · Answer 2 · 2019-01-19 02:38:04

65

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Declaring a metric space as a universe.

Published on 19 Jan 2019 - 2:38

score 209 · Answer 3 · 2019-01-19 03:13:36

209

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Where is the mistake in this proof that "If the square of a number is even, then the number is even"?

Published on 19 Jan 2019 - 3:13

score 234 · Answer 4 · 2026-03-25 22:06:16

234

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How do the authors prove that "The relative complement of the Cantor set in $[0,1]$ is dense in $[0,1]$"?

Published on 25 Mar 2026 - 22:06

score 303 · Answer 5 · 2019-01-20 01:33:47

303

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Subset of a metric space is a metric space.

Published on 20 Jan 2019 - 1:33

score 4.9k · Answer 6 · 2026-03-25 11:16:18

4.9k

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Prove that for all integers $n$ if $3 \mid n^2$, then $3 \mid n$

Published on 25 Mar 2026 - 11:16

score 124 · Answer 7 · 2026-03-27 00:10:23

124

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What does "$E$ is not bounded above" mean? I am confused. "Principles of Mathematical Analysis" by Walter Rudin Theorem 3.17.

Published on 27 Mar 2026 - 0:10

score 235 · Answer 8 · 2026-03-26 06:29:54

235

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About "Principles of Mathematical Analysis" by Walter Rudin Theorem 3.17(a).

Published on 26 Mar 2026 - 6:29

score 105 · Answer 9 · 2026-03-31 23:51:32

105

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How to get the cohomology group in the exact sequence? $B_n^* \leftarrow Z_n^* \leftarrow H^n(C;G) \leftarrow B_{n-1}^* \leftarrow Z_{n-1}^*$

Published on 31 Mar 2026 - 23:51

score 1k · Answer 10 · 2026-03-30 18:40:45

1k

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How to derive the formula for the expected value for maximum of n normal random variables

Published on 30 Mar 2026 - 18:40

score 67 · Answer 11 · 2019-01-20 20:14:28

If $B$ is a basis of $V$ and $U\subseteq V$ is linearly independent then there exists a $C\subseteq B$ such that$ \tilde{B}:= U\dot\cup C$ is a basis

score 92 · Answer 12 · 2026-03-28 08:47:47

92

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Proving $ 2 $ angles are equal.

Published on 28 Mar 2026 - 8:47

score 79 · Answer 13 · 2019-01-21 13:29:20

79

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Combinatorics problem on k sets and partionning a set of numbers, understanding of the proof

Published on 21 Jan 2019 - 13:29

score 4.5k · Answer 14 · 2019-01-21 14:54:23

4.5k

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Prove that $A$ is open if and only if $A=\operatorname{int}{A}$

Published on 21 Jan 2019 - 14:54

score 1.3k · Answer 15 · 2019-01-21 21:35:51

1.3k

Views

Prove function is greater than or equal to 0

Published on 21 Jan 2019 - 21:35

List Question

Proving whether the set of third degree polynomial is not a vector space?

Declaring a metric space as a universe.

Where is the mistake in this proof that "If the square of a number is even, then the number is even"?

How do the authors prove that "The relative complement of the Cantor set in $[0,1]$ is dense in $[0,1]$"?

Subset of a metric space is a metric space.

Prove that for all integers $n$ if $3 \mid n^2$, then $3 \mid n$

What does "$E$ is not bounded above" mean? I am confused. "Principles of Mathematical Analysis" by Walter Rudin Theorem 3.17.

About "Principles of Mathematical Analysis" by Walter Rudin Theorem 3.17(a).

How to get the cohomology group in the exact sequence? $B_n^* \leftarrow Z_n^* \leftarrow H^n(C;G) \leftarrow B_{n-1}^* \leftarrow Z_{n-1}^*$

How to derive the formula for the expected value for maximum of n normal random variables

If $B$ is a basis of $V$ and $U\subseteq V$ is linearly independent then there exists a $C\subseteq B$ such that$ \tilde{B}:= U\dot\cup C$ is a basis

Proving $ 2 $ angles are equal.

Combinatorics problem on k sets and partionning a set of numbers, understanding of the proof

Prove that $A$ is open if and only if $A=\operatorname{int}{A}$

Prove function is greater than or equal to 0

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