Question

Upper bound on $\|x\|^2 + \|y\|^2$

score 672 · Answer 1 · 2020-02-07 10:00:47

672

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Upper bound on $\|x\|^2 + \|y\|^2$

Published on 07 Feb 2020 - 10:00

score 26 · Answer 2 · 2020-02-07 11:24:36

26

Views

Proving $\sup A=\sup B,\;A\subseteq\mathbb R,\; B =\{\frac{x+y}{2}| x,y\in A \}$

Published on 07 Feb 2020 - 11:24

score 1k · Answer 3 · 2026-03-30 00:20:22

1k

Views

Every finite subset of a non-empty totally ordered set has both upper and lower bounds

Published on 30 Mar 2026 - 0:20

score 412 · Answer 4 · 2020-02-09 17:56:23

412

Views

Upper bound of a family of sets

Published on 09 Feb 2020 - 17:56

score 700 · Answer 5 · 2026-02-23 07:48:07

700

Views

The value of X is given as 700 rounded to 1.s.f State the upper and lower bound

Published on 23 Feb 2026 - 7:48

score 1k · Answer 6 · 2026-03-31 07:01:46

1k

Views

Two different definitions for a directed set

Published on 31 Mar 2026 - 7:01

score 40 · Answer 7 · 2020-02-13 19:15:46

Bound $\frac{\ln\left(\frac{c}{\ln\left(n\right)}\right)}{\ln\left(1-\frac{1}{c}\right)+\frac{1}{c}}$ where $2\leq c < \ln\left(n\right)$

score 29 · Answer 8 · 2020-02-14 22:38:29

29

Views

Example of $D$ such that $A=$ is an upper bounded set and $D=\{a^2\in A\}$ is not.

Published on 14 Feb 2020 - 22:38

score 31 · Answer 9 · 2026-03-30 16:45:21

31

Views

Finding the closest possible $\Omega$, $\mathcal{O}$ - bound (or if possible $\Theta$) for the following functions

Published on 30 Mar 2026 - 16:45

score 56 · Answer 10 · 2020-02-16 03:13:00

56

Views

Asymptotic bound of $\sum^M_{x=1}{x \log_2(\frac{M}{x})}$, $x=1,2,4,8,..,M$

Published on 16 Feb 2020 - 3:13

score 60 · Answer 11 · 2026-03-27 13:36:38

60

Views

Unable to verify recurrance $T(n) = T(n/2) + n$ via substitution

Published on 27 Mar 2026 - 13:36

score 57 · Answer 12 · 2020-02-17 10:25:32

57

Views

Upper bound for $\exp(\exp(iz))$ function

Published on 17 Feb 2020 - 10:25

score 49 · Answer 13 · 2020-02-17 20:23:27

49

Views

Does a set still satisfy the Archimedean property if it is bounded outside of itself?

Published on 17 Feb 2020 - 20:23

score 28 · Answer 14 · 2020-02-17 23:41:20

28

Views

Growth Rate of a Logarithmic Functional

Published on 17 Feb 2020 - 23:41

score 38 · Answer 15 · 2020-02-18 13:17:21

38

Views

Maximum modulus on the unit disc

Published on 18 Feb 2020 - 13:17

List Question

Upper bound on $\|x\|^2 + \|y\|^2$

Proving $\sup A=\sup B,\;A\subseteq\mathbb R,\; B =\{\frac{x+y}{2}| x,y\in A \}$

Every finite subset of a non-empty totally ordered set has both upper and lower bounds

Upper bound of a family of sets

The value of X is given as 700 rounded to 1.s.f State the upper and lower bound

Two different definitions for a directed set

Bound $\frac{\ln\left(\frac{c}{\ln\left(n\right)}\right)}{\ln\left(1-\frac{1}{c}\right)+\frac{1}{c}}$ where $2\leq c < \ln\left(n\right)$

Example of $D$ such that $A=$ is an upper bounded set and $D=\{a^2\in A\}$ is not.

Finding the closest possible $\Omega$, $\mathcal{O}$ - bound (or if possible $\Theta$) for the following functions

Asymptotic bound of $\sum^M_{x=1}{x \log_2(\frac{M}{x})}$, $x=1,2,4,8,..,M$

Unable to verify recurrance $T(n) = T(n/2) + n$ via substitution

Upper bound for $\exp(\exp(iz))$ function

Does a set still satisfy the Archimedean property if it is bounded outside of itself?

Growth Rate of a Logarithmic Functional

Maximum modulus on the unit disc

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