List questions from upper-lower-bounds

Published on 25 Mar 2026 - 22:05

74

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Coercive bilinear form for maximum norm

Published on 28 Mar 2026 - 13:33

64

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Prove that $C_{3 \over 2}^n$ is bounded given $C_{a}^n = \frac{a(a-1)(a-2)\dots(a-n+1)}{n!}$

Published on 25 Mar 2026 - 19:10

593

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Lower bound for $\|x-y\|$

Published on 16 Nov 2018 - 6:55

41

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Using the chebychev inequality in the absence of st.dev but known max value

Published on 16 Nov 2018 - 19:14

482

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Showing that a second order differential equation has unique bounded solution

Published on 17 Nov 2018 - 3:35

69

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Best error term in $\sum_{(n,q)=1}\frac{1}{n}$ (harmonic series with coprimality condition)

Published on 23 Feb 2026 - 1:06

325

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One lower bound for $(1+x)\log(1+x)-x$

Published on 18 Nov 2018 - 3:07

133

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fundamental theorem of algebra in the complex plane

Published on 18 Nov 2018 - 13:22

50

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Finding bounds of the set: $ A = \{ \frac{m\cdot n}{m+n}: m,n \in \mathbb N \} $

Published on 19 Nov 2018 - 13:27

67

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Lower bound of the entropy over the probability distribution

Published on 25 Mar 2026 - 3:19

76

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relation between $P(\mathbf{X}\geq t)$ and $P(\Phi(\mathbf{X}) \geq \Phi(t))$

Published on 22 Nov 2018 - 14:34

33

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Minimum value of a continuous function.

Published on 24 Nov 2018 - 8:42

53

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Bound for $(1-\frac{1}{n})^t$

Published on 25 Nov 2018 - 9:47

184

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Show that the sequence $a_n = (1 + \frac{1}{n})^n$ is bounded.

Published on 25 Nov 2018 - 10:15

List Question

Show $x_{n+1} = {1\over 2}x_n^2 - 1$ is bounded below and unbounded above and $x_n$ is increasing.

Coercive bilinear form for maximum norm

Prove that $C_{3 \over 2}^n$ is bounded given $C_{a}^n = \frac{a(a-1)(a-2)\dots(a-n+1)}{n!}$

Lower bound for $\|x-y\|$

Using the chebychev inequality in the absence of st.dev but known max value

Showing that a second order differential equation has unique bounded solution

Best error term in $\sum_{(n,q)=1}\frac{1}{n}$ (harmonic series with coprimality condition)

One lower bound for $(1+x)\log(1+x)-x$

fundamental theorem of algebra in the complex plane

Finding bounds of the set: $ A = \{ \frac{m\cdot n}{m+n}: m,n \in \mathbb N \} $

Lower bound of the entropy over the probability distribution

relation between $P(\mathbf{X}\geq t)$ and $P(\Phi(\mathbf{X}) \geq \Phi(t))$

Minimum value of a continuous function.

Bound for $(1-\frac{1}{n})^t$

Show that the sequence $a_n = (1 + \frac{1}{n})^n$ is bounded.

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