Question

find $f(99)$ where $2f(x-\frac{1}{x}) + f(\frac{1}{x}-x) = 3(x+\frac{1}{x})^2.$

score 116 · Answer 1 · 2018-06-12 15:23:33

116

Views

find $f(99)$ where $2f(x-\frac{1}{x}) + f(\frac{1}{x}-x) = 3(x+\frac{1}{x})^2.$

Published on 12 Jun 2018 - 15:23

score 45 · Answer 2 · 2018-06-14 14:04:17

45

Views

Prove or refute that $\sum_{n=1}^\infty\frac{1}{n^2+A\varphi(n)+B}$ will be irrational for some choice of integers $A,B\geq 1$

Published on 14 Jun 2018 - 14:04

score 501 · Answer 3 · 2018-06-15 06:43:02

501

Views

Why does the law of distributivity use the distributive property to prove it exists?

Published on 15 Jun 2018 - 6:43

score 196 · Answer 4 · 2018-06-16 17:42:39

196

Views

Is any subsequence of a sequence of rational numbers dense in $\mathbb{R}$

Published on 16 Jun 2018 - 17:42

score 1.9k · Answer 5 · 2018-06-19 09:48:53

1.9k

Views

Does there exist non trivial group homomorphism from $S_3$ to ( $\mathbb Q $,+)

Published on 19 Jun 2018 - 9:48

score 4.2k · Answer 6 · 2018-06-20 03:16:13

4.2k

Views

How to explain irrational numbers to laymen?

Published on 20 Jun 2018 - 3:16

score 1k · Answer 7 · 2018-06-20 16:23:42

1k

Views

Is there any continuous function that is only differentiable on $\mathbb{Q}$?

Published on 20 Jun 2018 - 16:23

score 103 · Answer 8 · 2018-06-22 01:14:17

103

Views

(Dis)continuity of $f(x)=\sum_{j: q_j < x} 2^{-j}$

Published on 22 Jun 2018 - 1:14

score 264 · Answer 9 · 2018-06-22 09:50:57

264

Views

find all rational points on $x^2+7 y^2 = 1$

Published on 22 Jun 2018 - 9:50

score 56 · Answer 10 · 2018-06-26 05:11:33

Is there a way to form a sequence of intervals s.t they cover all the rational numbers in $(0,1)$ in a way that $C_n \subset Int(C_{n+1}),$

score 313 · Answer 11 · 2026-03-25 01:24:04

313

Views

Irrationality of the Euler–Mascheroni constant

Published on 25 Mar 2026 - 1:24

score 235 · Answer 12 · 2018-06-30 12:27:39

235

Views

$n$ as an integer and a real number

Published on 30 Jun 2018 - 12:27

score 39 · Answer 13 · 2018-07-01 16:10:45

39

Views

Need the name of algebraic structure suitable for this

Published on 01 Jul 2018 - 16:10

score 66 · Answer 14 · 2018-07-05 10:19:17

66

Views

Equalities of a rational numbers

Published on 05 Jul 2018 - 10:19

score 172 · Answer 15 · 2018-07-05 13:24:38

172

Views

Proof Irrational number $x$, given $N\in{\mathbb{N}}$ exists $\epsilon>0$ so all rationals $\in{V_\epsilon{(x)}}$ have denominator larger than N.

Published on 05 Jul 2018 - 13:24

List Question

find $f(99)$ where $2f(x-\frac{1}{x}) + f(\frac{1}{x}-x) = 3(x+\frac{1}{x})^2.$

Prove or refute that $\sum_{n=1}^\infty\frac{1}{n^2+A\varphi(n)+B}$ will be irrational for some choice of integers $A,B\geq 1$

Why does the law of distributivity use the distributive property to prove it exists?

Is any subsequence of a sequence of rational numbers dense in $\mathbb{R}$

Does there exist non trivial group homomorphism from $S_3$ to ( $\mathbb Q $,+)

How to explain irrational numbers to laymen?

Is there any continuous function that is only differentiable on $\mathbb{Q}$?

(Dis)continuity of $f(x)=\sum_{j: q_j < x} 2^{-j}$

find all rational points on $x^2+7 y^2 = 1$

Is there a way to form a sequence of intervals s.t they cover all the rational numbers in $(0,1)$ in a way that $C_n \subset Int(C_{n+1}),$

Irrationality of the Euler–Mascheroni constant

$n$ as an integer and a real number

Need the name of algebraic structure suitable for this

Equalities of a rational numbers

Proof Irrational number $x$, given $N\in{\mathbb{N}}$ exists $\epsilon>0$ so all rationals $\in{V_\epsilon{(x)}}$ have denominator larger than N.

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