Question

Given $0<\lambda<1.$ Prove that if all $x,y>0,$ $f(x+y) = \lambda f(x) + (1-\lambda)f(y),$ then $f$ is a constant function.

score 79 · Answer 1 · 2018-03-21 04:00:48

79

Views

Given $0<\lambda<1.$ Prove that if all $x,y>0,$ $f(x+y) = \lambda f(x) + (1-\lambda)f(y),$ then $f$ is a constant function.

Published on 21 Mar 2018 - 4:00

score 76 · Answer 2 · 2018-03-21 04:55:31

76

Views

How to formalize "Division by zero" in a proof about groups?

Published on 21 Mar 2018 - 4:55

score 103 · Answer 3 · 2026-03-25 12:32:01

103

Views

Every perfect set is not discrete??

Published on 25 Mar 2026 - 12:32

score 147 · Answer 4 · 2018-03-21 10:23:50

147

Views

Induction over a finite orthogonal set of vectors.

Published on 21 Mar 2018 - 10:23

score 118 · Answer 5 · 2026-03-27 15:19:06

118

Views

Which of the following of subspaces of $\mathbb{R^2}$ are compact?

Published on 27 Mar 2026 - 15:19

score 105 · Answer 6 · 2026-03-26 19:32:04

105

Views

)Two-spring mass system

Published on 26 Mar 2026 - 19:32

score 78 · Answer 7 · 2018-03-21 14:39:34

78

Views

Verfication required on proof of elementary result on inner product Spaces.

Published on 21 Mar 2018 - 14:39

score 152 · Answer 8 · 2026-03-25 11:03:19

152

Views

Fulton & Harris Exercise 3.25; induced, restricted representations of $S_n$.

Published on 25 Mar 2026 - 11:03

score 329 · Answer 9 · 2026-03-25 07:45:58

329

Views

Prove the congruence of RSA: $C^d\equiv M\ (\textrm{mod}\ pq)$ still hold even if $gcd(M, pq) > 1$.

Published on 25 Mar 2026 - 7:45

score 3.2k · Answer 10 · 2026-03-27 03:49:01

3.2k

Views

Proof of sum formula, no induction

Published on 27 Mar 2026 - 3:49

score 49 · Answer 11 · 2018-03-21 17:07:13

49

Views

Is this proof of $\lim_{x \to 2} \frac{1}{x} = \frac{1}{2}$ correct?

Published on 21 Mar 2018 - 17:07

score 38 · Answer 12 · 2018-03-21 17:56:25

38

Views

Proofs about a group property

Published on 21 Mar 2018 - 17:56

score 64 · Answer 13 · 2018-03-21 23:38:02

64

Views

Is the following arithmetic on conjugation of a set correct?

Published on 21 Mar 2018 - 23:38

score 487 · Answer 14 · 2018-03-22 03:34:48

487

Views

Spivak's Calculus: Ch. 1, Problem 14 (absolute value inequality)

Published on 22 Mar 2018 - 3:34

score 268 · Answer 15 · 2026-03-25 17:38:07

268

Views

When every minimal subgroup is contained in the center

Published on 25 Mar 2026 - 17:38

List Question

Given $0<\lambda<1.$ Prove that if all $x,y>0,$ $f(x+y) = \lambda f(x) + (1-\lambda)f(y),$ then $f$ is a constant function.

How to formalize "Division by zero" in a proof about groups?

Every perfect set is not discrete??

Induction over a finite orthogonal set of vectors.

Which of the following of subspaces of $\mathbb{R^2}$ are compact?

)Two-spring mass system

Verfication required on proof of elementary result on inner product Spaces.

Fulton & Harris Exercise 3.25; induced, restricted representations of $S_n$.

Prove the congruence of RSA: $C^d\equiv M\ (\textrm{mod}\ pq)$ still hold even if $gcd(M, pq) > 1$.

Proof of sum formula, no induction

Is this proof of $\lim_{x \to 2} \frac{1}{x} = \frac{1}{2}$ correct?

Proofs about a group property

Is the following arithmetic on conjugation of a set correct?

Spivak's Calculus: Ch. 1, Problem 14 (absolute value inequality)

When every minimal subgroup is contained in the center

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