Question

How to find many bijective functions from rationals on $(0,1)$ to rationals on $(0,1)$

score 432 · Answer 1 · 2020-06-20 08:40:48

432

Views

How to find many bijective functions from rationals on $(0,1)$ to rationals on $(0,1)$

Published on 20 Jun 2020 - 8:40

score 36 · Answer 2 · 2020-06-21 19:35:45

36

Views

a minimum of a function and continuous function

Published on 21 Jun 2020 - 19:35

score 94 · Answer 3 · 2020-06-23 06:16:24

94

Views

Proof for this integral inequality

Published on 23 Jun 2020 - 6:16

score 69 · Answer 4 · 2020-06-26 23:00:41

69

Views

Show that the sequence is convergent $\frac{(1)(3)(5)\dots(2n-1)}{(2)(4)(6)\dots(2n)}$

Published on 26 Jun 2020 - 23:00

score 363 · Answer 5 · 2020-06-29 09:12:37

363

Views

Prove monotonicity of a sequence.

Published on 29 Jun 2020 - 9:12

score 131 · Answer 6 · 2020-07-02 23:29:53

131

Views

Giving an example of a strictly monotone function which is not injective.

Published on 02 Jul 2020 - 23:29

score 51 · Answer 7 · 2026-02-23 00:05:50

51

Views

Monotonicity of sum of two Fresnel integrals

Published on 23 Feb 2026 - 0:05

score 46 · Answer 8 · 2020-07-07 21:54:37

46

Views

Prove that if $f$ is bounded above and $d = \sup{f}$, then $\lim_{x \to b^{-}}f(x) = d$ - Thought process behind solution

Published on 07 Jul 2020 - 21:54

score 31 · Answer 9 · 2020-07-07 23:18:03

31

Views

If $\lim_{x \to b^{-}} f(x) = d$ then the image of $f$ is the half closed interval $[f(a),d)$ - Proof feedback

Published on 07 Jul 2020 - 23:18

score 201 · Answer 10 · 2020-07-08 19:47:02

201

Views

Splitting a continuous monotonically-increasing function $f(x)$ as $h(x)+h(x+\epsilon) = f(x)$

Published on 08 Jul 2020 - 19:47

score 70 · Answer 11 · 2020-07-09 09:42:20

70

Views

Understanding the monotonous convergence theorem

Published on 09 Jul 2020 - 9:42

score 32 · Answer 12 · 2020-07-09 14:30:43

32

Views

Find formula of function given relation

Published on 09 Jul 2020 - 14:30

score 132 · Answer 13 · 2020-07-09 14:49:10

132

Views

Properties of rational function of two monotone functions

Published on 09 Jul 2020 - 14:49

score 458 · Answer 14 · 2020-07-10 19:38:15

458

Views

If $f$ is not bounded from above, then $\lim_{x \to b^{-}}f(x) = \infty$ - Feedback on attempted proofs

Published on 10 Jul 2020 - 19:38

score 35 · Answer 15 · 2020-07-10 22:40:23

35

Views

If $\lim_{x \to b^{-}}f(x) = \infty$ then the image of $f$ is the ray $[f(a),\infty)$ - Proof feedback

Published on 10 Jul 2020 - 22:40

List Question

How to find many bijective functions from rationals on $(0,1)$ to rationals on $(0,1)$

a minimum of a function and continuous function

Proof for this integral inequality

Show that the sequence is convergent $\frac{(1)(3)(5)\dots(2n-1)}{(2)(4)(6)\dots(2n)}$

Prove monotonicity of a sequence.

Giving an example of a strictly monotone function which is not injective.

Monotonicity of sum of two Fresnel integrals

Prove that if $f$ is bounded above and $d = \sup{f}$, then $\lim_{x \to b^{-}}f(x) = d$ - Thought process behind solution

If $\lim_{x \to b^{-}} f(x) = d$ then the image of $f$ is the half closed interval $[f(a),d)$ - Proof feedback

Splitting a continuous monotonically-increasing function $f(x)$ as $h(x)+h(x+\epsilon) = f(x)$

Understanding the monotonous convergence theorem

Find formula of function given relation

Properties of rational function of two monotone functions

If $f$ is not bounded from above, then $\lim_{x \to b^{-}}f(x) = \infty$ - Feedback on attempted proofs

If $\lim_{x \to b^{-}}f(x) = \infty$ then the image of $f$ is the ray $[f(a),\infty)$ - Proof feedback

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