Question

The difference of distances from a point on hyperbola and foci (exercise $13.25.12$ in Tom Apostol's Calculus vol. $1$)

score 27 · Answer 1 · 2026-04-16 15:59:15

27

Views

The difference of distances from a point on hyperbola and foci (exercise $13.25.12$ in Tom Apostol's Calculus vol. $1$)

Published on 16 Apr 2026 - 15:59

score 70 · Answer 2 · 2026-05-10 22:50:35

70

Views

foliational reciprocity

Published on 10 May 2026 - 22:50

score 25 · Answer 3 · 2026-04-16 03:47:17

25

Views

Prove that $Z_n=(\frac{a}{b})^{\sum_{j=1}^n\xi_j}(\frac{1-a}{1-b})^{n-\sum_{j=1}^n\xi_j}$ is a martingale

Published on 16 Apr 2026 - 3:47

score 101 · Answer 4 · 2026-04-17 05:25:39

101

Views

Prove that if $\lim_{x\to \infty} f'(x) = 0$, then $\lim_{x\to \infty} f(x+1)-f(x) = 0$

Published on 17 Apr 2026 - 5:25

score 81 · Answer 5 · 2026-04-13 17:50:36

81

Views

Show that Regularity is a Topological Property

Published on 13 Apr 2026 - 17:50

score 45 · Answer 6 · 2026-05-11 03:06:32

45

Views

Real life analysis - how to break down revenue growth drivers

Published on 11 May 2026 - 3:06

score 32 · Answer 7 · 2026-04-17 06:09:06

32

Views

particle moving through a flow of liquid, speed of liquid is uniform

Published on 17 Apr 2026 - 6:09

score 28 · Answer 8 · 2026-05-16 09:35:13

28

Views

If $\sum_{i=1}^t(n_i-1)+1$ pigeons are distributed among $t$ pigeonholes, then there exists a pigeonhole that contains at least $n_i$ pigeons.

Published on 16 May 2026 - 9:35

score 44 · Answer 9 · 2026-04-16 00:54:41

44

Views

Let $f \in C^2(\mathbb{R}; \mathbb{R})$. Suppose that $f''(x) = 0,$ for every $x \in \mathbb{R}$. Show that $f$ is a polynomial.

Published on 16 Apr 2026 - 0:54

score 49 · Answer 10 · 2026-04-16 19:59:28

49

Views

Prove that if $p|ra-b$ and $p|rc-d$ then $p|(ad-bc)$ for $r\in \mathbb{Z}$

Published on 16 Apr 2026 - 19:59

score 50 · Answer 11 · 2026-05-15 22:11:10

50

Views

Let $A \in M_n(\mathbb R)$ such that $A^2+A+5I_n = 0$. Find the characteristic polynomial of $A$

Published on 15 May 2026 - 22:11

score 130 · Answer 12 · 2026-04-16 02:39:22

130

Views

Prove that $(a_n)$ and $(b_n)$ are converging sequences and whether $(c_n)$ also converging

Published on 16 Apr 2026 - 2:39

score 109 · Answer 13 · 2026-04-08 19:32:28

109

Views

Extreme points under closure operators

Published on 08 Apr 2026 - 19:32

score 161 · Answer 14 · 2026-04-09 04:14:38

161

Views

Prove the (path-) connectedness of the graph of a compact- and convex-valued upper hemi-continuous correspondence.

Published on 09 Apr 2026 - 4:14

score 108 · Answer 15 · 2026-05-14 23:25:06

108

Views

Understanding the CW decomposition of the real projective $n$-space

Published on 14 May 2026 - 23:25

List Question

The difference of distances from a point on hyperbola and foci (exercise $13.25.12$ in Tom Apostol's Calculus vol. $1$)

foliational reciprocity

Prove that $Z_n=(\frac{a}{b})^{\sum_{j=1}^n\xi_j}(\frac{1-a}{1-b})^{n-\sum_{j=1}^n\xi_j}$ is a martingale

Prove that if $\lim_{x\to \infty} f'(x) = 0$, then $\lim_{x\to \infty} f(x+1)-f(x) = 0$

Show that Regularity is a Topological Property

Real life analysis - how to break down revenue growth drivers

particle moving through a flow of liquid, speed of liquid is uniform

If $\sum_{i=1}^t(n_i-1)+1$ pigeons are distributed among $t$ pigeonholes, then there exists a pigeonhole that contains at least $n_i$ pigeons.

Let $f \in C^2(\mathbb{R}; \mathbb{R})$. Suppose that $f''(x) = 0,$ for every $x \in \mathbb{R}$. Show that $f$ is a polynomial.

Prove that if $p|ra-b$ and $p|rc-d$ then $p|(ad-bc)$ for $r\in \mathbb{Z}$

Let $A \in M_n(\mathbb R)$ such that $A^2+A+5I_n = 0$. Find the characteristic polynomial of $A$

Prove that $(a_n)$ and $(b_n)$ are converging sequences and whether $(c_n)$ also converging

Extreme points under closure operators

Prove the (path-) connectedness of the graph of a compact- and convex-valued upper hemi-continuous correspondence.

Understanding the CW decomposition of the real projective $n$-space

Trending Questions

Popular # Hahtags

Popular Questions