Question

Prove that if $E\cap F=\emptyset$ and $X=E\cup F$ then $\int_Xfd\mu=\int_Efd\mu+\int_Ffd\mu$

score 98 · Answer 1 · 2026-04-15 04:41:07

98

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Prove that if $E\cap F=\emptyset$ and $X=E\cup F$ then $\int_Xfd\mu=\int_Efd\mu+\int_Ffd\mu$

Published on 15 Apr 2026 - 4:41

score 201 · Answer 2 · 2026-05-16 07:33:20

201

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Coercive Function Proof General Inequality

Published on 16 May 2026 - 7:33

score 127 · Answer 3 · 2026-04-15 13:39:53

127

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Subgroups of the integers

Published on 15 Apr 2026 - 13:39

score 84 · Answer 4 · 2026-04-12 09:55:12

84

Views

Proof that for binary relation following is true or prove statement is false.

Published on 12 Apr 2026 - 9:55

score 1.1k · Answer 5 · 2026-04-11 09:11:46

1.1k

Views

Proof of cancellation law for multiplication of natural numbers.

Published on 11 Apr 2026 - 9:11

score 276 · Answer 6 · 2026-04-13 17:03:56

276

Views

Proving equivalence between $\epsilon$ based & $lub$ definition of supremum.

Published on 13 Apr 2026 - 17:03

score 661 · Answer 7 · 2026-04-14 08:13:16

661

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Questions based on $\epsilon$ based definition of Supremum.

Published on 14 Apr 2026 - 8:13

score 63 · Answer 8 · 2026-04-13 08:09:37

63

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Prove a formula that gives the maximum of two numbers and uses only integer operations.

Published on 13 Apr 2026 - 8:09

score 49 · Answer 9 · 2026-04-12 00:13:12

49

Views

Some properties implied from the definition of semidirect product.

Published on 12 Apr 2026 - 0:13

score 52 · Answer 10 · 2026-04-11 04:45:42

52

Views

The construction outer semidirect product from two groups.

Published on 11 Apr 2026 - 4:45

score 44 · Answer 11 · 2026-04-16 07:24:11

44

Views

Proof by induction: $\sum_{j=1}^{n-1}{j^k}<\frac{n^{k+1}}{k+1}$ with $n,k \in \mathbb{N}$ and $n\geq 2$

Published on 16 Apr 2026 - 7:24

score 47 · Answer 12 · 2026-04-14 06:08:36

47

Views

Determining for which parameter values a set: spans a vector space, is linearly independent, a base for a vector space.

Published on 14 Apr 2026 - 6:08

score 183 · Answer 13 · 2026-04-09 16:26:00

183

Views

Proof of a bounded function via Big O notation

Published on 09 Apr 2026 - 16:26

score 951 · Answer 14 · 2026-04-13 23:25:24

951

Views

Proving if $\sum_{n=1}^{\infty} a_n$ and $\sum_{n=1}^{\infty} b_n$ both converge then the series $a_1+b_1+a_2+b_2+\ldots$ converges.

Published on 13 Apr 2026 - 23:25

score 82 · Answer 15 · 2026-04-17 09:01:42

82

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Prove by induction on $n$ that $(1)(2)+(2)(3)+...+n(n+1)={1\over 3}n(n+1)(n+2)$

Published on 17 Apr 2026 - 9:01

List Question

Prove that if $E\cap F=\emptyset$ and $X=E\cup F$ then $\int_Xfd\mu=\int_Efd\mu+\int_Ffd\mu$

Coercive Function Proof General Inequality

Subgroups of the integers

Proof that for binary relation following is true or prove statement is false.

Proof of cancellation law for multiplication of natural numbers.

Proving equivalence between $\epsilon$ based & $lub$ definition of supremum.

Questions based on $\epsilon$ based definition of Supremum.

Prove a formula that gives the maximum of two numbers and uses only integer operations.

Some properties implied from the definition of semidirect product.

The construction outer semidirect product from two groups.

Proof by induction: $\sum_{j=1}^{n-1}{j^k}<\frac{n^{k+1}}{k+1}$ with $n,k \in \mathbb{N}$ and $n\geq 2$

Determining for which parameter values a set: spans a vector space, is linearly independent, a base for a vector space.

Proof of a bounded function via Big O notation

Proving if $\sum_{n=1}^{\infty} a_n$ and $\sum_{n=1}^{\infty} b_n$ both converge then the series $a_1+b_1+a_2+b_2+\ldots$ converges.

Prove by induction on $n$ that $(1)(2)+(2)(3)+...+n(n+1)={1\over 3}n(n+1)(n+2)$

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