Question

What's the need of putting the extra condition $\mu (\varnothing) = 0$ in the characterization of countably additive set functions?

score 122 · Answer 1 · 2026-04-13 10:00:45

122

Views

What's the need of putting the extra condition $\mu (\varnothing) = 0$ in the characterization of countably additive set functions?

Published on 13 Apr 2026 - 10:00

score 114 · Answer 2 · 2026-04-26 02:04:30

114

Views

Replacing a family of epimorphisms by epimorphisms with the same domain by forming pullbacks in an abelian category

Published on 26 Apr 2026 - 2:04

score 546 · Answer 3 · 2026-04-14 20:11:12

546

Views

Proof that any that any function $f$ that is continous on $[a,b]$ can be approximated using a polygonal function $g$.

Published on 14 Apr 2026 - 20:11

score 34 · Answer 4 · 2026-04-10 09:19:07

34

Views

Need easy explanation of the result of a composition.

Published on 10 Apr 2026 - 9:19

score 119 · Answer 5 · 2026-04-13 02:37:54

119

Views

Number of Orbits on ordered and unordered k-sets.

Published on 13 Apr 2026 - 2:37

score 68 · Answer 6 · 2026-04-16 09:44:03

68

Views

On the Reduction Lemma (the existence of an $(n-1,M,d-1)$-code)

Published on 16 Apr 2026 - 9:44

score 74 · Answer 7 · 2026-04-09 01:42:26

74

Views

How was this circle formula be simplified?

Published on 09 Apr 2026 - 1:42

score 219 · Answer 8 · 2026-04-15 01:12:54

219

Views

If A is a square matrix, and A² = A, prove that the column space C(A) = { x ∊ Rⁿ | x = Ax }

Published on 15 Apr 2026 - 1:12

score 56 · Answer 9 · 2026-03-27 07:35:33

56

Views

Step in proof of derivation of $1+2+\cdots+n=\tfrac{n(n+1)}{2}$.

Published on 27 Mar 2026 - 7:35

score 40 · Answer 10 · 2026-04-17 11:33:28

40

Views

Inductive Proof, given $T(n) = \frac 25 T_{n-1} +\frac 35 T_{n-2},\; T_0 = 0, T_1=1$...

Published on 17 Apr 2026 - 11:33

score 42 · Answer 11 · 2026-04-13 22:24:35

42

Views

Understanding why $\vert \sum_{k = 1}^n \alpha_k f(x_k) \vert = \sum_{k = 1}^n \vert \alpha_k \vert$ in the calculation of a norm.

Published on 13 Apr 2026 - 22:24

score 646 · Answer 12 · 2026-04-12 11:36:24

646

Views

Understanding Fermat's proof of the formula of integration for x^n

Published on 12 Apr 2026 - 11:36

score 186 · Answer 13 · 2026-04-14 02:20:52

186

Views

Proof of $\sup(1,3) \cup (5, 8) = 8$.

Published on 14 Apr 2026 - 2:20

score 48 · Answer 14 · 2026-04-13 19:23:47

48

Views

Question in proof regarding uniqueness of Hahn Banach extension

Published on 13 Apr 2026 - 19:23

score 122 · Answer 15 · 2026-04-11 09:28:15

122

Views

Explanation of Rudin's proof on change of variable

Published on 11 Apr 2026 - 9:28

List Question

What's the need of putting the extra condition $\mu (\varnothing) = 0$ in the characterization of countably additive set functions?

Replacing a family of epimorphisms by epimorphisms with the same domain by forming pullbacks in an abelian category

Proof that any that any function $f$ that is continous on $[a,b]$ can be approximated using a polygonal function $g$.

Need easy explanation of the result of a composition.

Number of Orbits on ordered and unordered k-sets.

On the Reduction Lemma (the existence of an $(n-1,M,d-1)$-code)

How was this circle formula be simplified?

If A is a square matrix, and A² = A, prove that the column space C(A) = { x ∊ Rⁿ | x = Ax }

Step in proof of derivation of $1+2+\cdots+n=\tfrac{n(n+1)}{2}$.

Inductive Proof, given $T(n) = \frac 25 T_{n-1} +\frac 35 T_{n-2},\; T_0 = 0, T_1=1$...

Understanding why $\vert \sum_{k = 1}^n \alpha_k f(x_k) \vert = \sum_{k = 1}^n \vert \alpha_k \vert$ in the calculation of a norm.

Understanding Fermat's proof of the formula of integration for x^n

Proof of $\sup(1,3) \cup (5, 8) = 8$.

Question in proof regarding uniqueness of Hahn Banach extension

Explanation of Rudin's proof on change of variable

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