Question

$f:[a,b]\to \mathbb R$ is continuous iff graph of $f$ is connected and closed.

score 183 · Answer 1 · 2026-04-14 20:56:35

183

Views

$f:[a,b]\to \mathbb R$ is continuous iff graph of $f$ is connected and closed.

Published on 14 Apr 2026 - 20:56

score 57 · Answer 2 · 2026-04-14 23:20:06

57

Views

Find the smallest value at x=25

Published on 14 Apr 2026 - 23:20

score 57 · Answer 3 · 2026-04-16 08:12:34

57

Views

Show, using the mean value theorem and given $|f(x)-f(y)| ≤ |x-y|^3$ and $x, y ∈ [0,1]$, that $f(x)$ has to be constant.

Published on 16 Apr 2026 - 8:12

score 42 · Answer 4 · 2026-04-15 19:41:58

42

Views

Solving a set of equations

Published on 15 Apr 2026 - 19:41

score 64 · Answer 5 · 2026-04-10 00:29:58

64

Views

Tips to solve equation with square root

Published on 10 Apr 2026 - 0:29

score 100 · Answer 6 · 2026-04-12 13:08:06

100

Views

How to solve the Diophantine equation $an^2+bn+c=x^2$

Published on 12 Apr 2026 - 13:08

score 173 · Answer 7 · 2026-04-17 09:20:21

173

Views

If $a_n>0;\ a_n\to 0,$ is there an enumeration $\{ x_n \}_{n\in\mathbb{N}}$ of $\mathbb{Q}\cap (0,1]$ such that $a_1 x_1 > a_2 x_2 > a_3 x_3\ldots\ ?$

Published on 17 Apr 2026 - 9:20

score 92 · Answer 8 · 2026-04-15 02:26:42

92

Views

solution to $\sum_{i=1}^{n}\frac{1}{a_{i}x+b_{i}} = 0$

Published on 15 Apr 2026 - 2:26

score 59 · Answer 9 · 2026-04-25 03:34:35

59

Views

Solve equation using Laplace

Published on 25 Apr 2026 - 3:34

score 300 · Answer 10 · 2026-03-26 09:42:43

300

Views

Finding the order of an element in $GL(2,\mathbb F_p)$.

Published on 26 Mar 2026 - 9:42

score 395 · Answer 11 · 2026-04-09 20:01:07

395

Views

Does Cauchy-Schwarz work with higher powers, e.g. cubes instead of squares?

Published on 09 Apr 2026 - 20:01

score 130 · Answer 12 · 2026-04-14 21:36:31

130

Views

If $\ z_k\ $ are complex numbers, sort of uniformly spread out on the unit circle, then what is $\ \sup \{\ \vert z_0 + \ldots + z_{n-1} \vert\ \}\ ?$

Published on 14 Apr 2026 - 21:36

score 45 · Answer 13 · 2026-04-15 10:57:44

45

Views

Find a typo in this expression simplification problem

Published on 15 Apr 2026 - 10:57

score 211 · Answer 14 · 2026-04-15 01:58:30

211

Views

How many balls can fit in a house shaped box?

Published on 15 Apr 2026 - 1:58

score 63 · Answer 15 · 2026-04-09 18:12:26

63

Views

Solving expression

Published on 09 Apr 2026 - 18:12

List Question

$f:[a,b]\to \mathbb R$ is continuous iff graph of $f$ is connected and closed.

Find the smallest value at x=25

Show, using the mean value theorem and given $|f(x)-f(y)| ≤ |x-y|^3$ and $x, y ∈ [0,1]$, that $f(x)$ has to be constant.

Solving a set of equations

Tips to solve equation with square root

How to solve the Diophantine equation $an^2+bn+c=x^2$

If $a_n>0;\ a_n\to 0,$ is there an enumeration $\{ x_n \}_{n\in\mathbb{N}}$ of $\mathbb{Q}\cap (0,1]$ such that $a_1 x_1 > a_2 x_2 > a_3 x_3\ldots\ ?$

solution to $\sum_{i=1}^{n}\frac{1}{a_{i}x+b_{i}} = 0$

Solve equation using Laplace

Finding the order of an element in $GL(2,\mathbb F_p)$.

Does Cauchy-Schwarz work with higher powers, e.g. cubes instead of squares?

If $\ z_k\ $ are complex numbers, sort of uniformly spread out on the unit circle, then what is $\ \sup \{\ \vert z_0 + \ldots + z_{n-1} \vert\ \}\ ?$

Find a typo in this expression simplification problem

How many balls can fit in a house shaped box?

Solving expression

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