Question

How to prove that these vectors are linearly independent?

score 70 · Answer 1 · 2019-08-07 19:56:08

70

Views

How to prove that these vectors are linearly independent?

Published on 07 Aug 2019 - 19:56

score 131 · Answer 2 · 2019-08-07 20:13:51

131

Views

Classifying Solutions to $f^n(x) = x$

Published on 07 Aug 2019 - 20:13

score 1.4k · Answer 3 · 2019-08-08 11:19:43

1.4k

Views

If $f(x)-f^{-1}(x)=e^{x}-1$, what is $f(x)$?

Published on 08 Aug 2019 - 11:19

score 249 · Answer 4 · 2019-08-08 17:51:14

249

Views

Functional equations [Sample paper of Indian Mathematical Olympiad]

Published on 08 Aug 2019 - 17:51

score 106 · Answer 5 · 2019-08-08 19:10:46

106

Views

Probability of getting a sufficiently long piece from multiple stick breaking

Published on 08 Aug 2019 - 19:10

score 413 · Answer 6 · 2019-08-14 05:49:15

413

Views

$f(f(x)) = 1 + x^2$, then what is f(1)?

Published on 14 Aug 2019 - 5:49

score 93 · Answer 7 · 2019-08-15 22:29:28

93

Views

Functional Equality

Published on 15 Aug 2019 - 22:29

score 72 · Answer 8 · 2019-08-15 22:43:27

72

Views

Help with expressing Partition Numbers as powers of two

Published on 15 Aug 2019 - 22:43

score 295 · Answer 9 · 2019-08-16 18:23:58

295

Views

Find all additive real valued functions such that $f(x^{2019})=f(x)^{2019}$

Published on 16 Aug 2019 - 18:23

score 401 · Answer 10 · 2019-08-16 20:41:39

401

Views

solve the functional equation $f(x+t)-f(x-t)=4xt$

Published on 16 Aug 2019 - 20:41

score 84 · Answer 11 · 2019-08-17 17:15:47

84

Views

For what continuous $f$ we can write $f(x)+a\cdot f(x+\alpha)$ as $b\cdot f(x+\beta)$?

Published on 17 Aug 2019 - 17:15

score 82 · Answer 12 · 2019-08-17 22:20:52

82

Views

find all functions such that $f(x)\geq0$ for all $x$ and $f(x+t) = f(x) +f(t) +2\sqrt{f(x)f(t)}$

Published on 17 Aug 2019 - 22:20

score 90 · Answer 13 · 2019-08-18 03:04:14

90

Views

If a random variable $X$ and its mapping $\mathrm{ln}(X+1)$ have the same distribution, what is the distribution of $X$?

Published on 18 Aug 2019 - 3:04

score 137 · Answer 14 · 2019-08-19 19:09:17

137

Views

How to solve a first order differential equation with parameters inside functions: $ag'(cy)+bg'(ey)=\alpha$

Published on 19 Aug 2019 - 19:09

score 166 · Answer 15 · 2019-08-20 13:09:42

What functions satisfy one of these equalities: $x \cdot \Phi(x) = (\Phi \ast \Phi)(x)= \int_{- \infty}^{x} \Phi(t) dt$?

List Question

How to prove that these vectors are linearly independent?

Classifying Solutions to $f^n(x) = x$

If $f(x)-f^{-1}(x)=e^{x}-1$, what is $f(x)$?

Functional equations [Sample paper of Indian Mathematical Olympiad]

Probability of getting a sufficiently long piece from multiple stick breaking

$f(f(x)) = 1 + x^2$, then what is f(1)?

Functional Equality

Help with expressing Partition Numbers as powers of two

Find all additive real valued functions such that $f(x^{2019})=f(x)^{2019}$

solve the functional equation $f(x+t)-f(x-t)=4xt$

For what continuous $f$ we can write $f(x)+a\cdot f(x+\alpha)$ as $b\cdot f(x+\beta)$?

find all functions such that $f(x)\geq0$ for all $x$ and $f(x+t) = f(x) +f(t) +2\sqrt{f(x)f(t)}$

If a random variable $X$ and its mapping $\mathrm{ln}(X+1)$ have the same distribution, what is the distribution of $X$?

How to solve a first order differential equation with parameters inside functions: $ag'(cy)+bg'(ey)=\alpha$

What functions satisfy one of these equalities: $x \cdot \Phi(x) = (\Phi \ast \Phi)(x)= \int_{- \infty}^{x} \Phi(t) dt$?

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