Question

Why is the plot of bump function in two variables asymmetric?

score 646 · Answer 1 · 2026-04-15 19:35:49

646

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Why is the plot of bump function in two variables asymmetric?

Published on 15 Apr 2026 - 19:35

score 182 · Answer 2 · 2026-04-25 00:34:07

182

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Solving $4\cdot 25^x-25\cdot 4^{x+1}=9\cdot 10^x$

Published on 25 Apr 2026 - 0:34

score 1.2k · Answer 3 · 2026-04-15 11:31:44

1.2k

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Prove by mathematical induction that $2^{3^n}+1$ is divisible by $3^{n+1}$

Published on 15 Apr 2026 - 11:31

score 193 · Answer 4 · 2026-04-17 09:59:23

193

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Show that $ \frac{1}{e}=1-1+\frac{1}{2!}-\frac{1}{3!}+...+\frac{(-1)^n}{n!}+... $.

Published on 17 Apr 2026 - 9:59

score 53 · Answer 5 · 2026-04-11 06:52:20

53

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Complications Limits of Powers

Published on 11 Apr 2026 - 6:52

score 128 · Answer 6 · 2026-04-17 15:59:09

128

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Prove:$\left( 1+\frac{1}{x} \right)^x\left[ x\ln \left( 1+\frac1x \right)+\frac1{1+x} \right]<\mathrm{e},\quad x\in (0,+\infty )$.

Published on 17 Apr 2026 - 15:59

score 107 · Answer 7 · 2026-04-09 09:21:58

107

Views

Exponential function passing through two points with arbitrary slope

Published on 09 Apr 2026 - 9:21

score 1.4k · Answer 8 · 2026-04-14 00:43:54

1.4k

Views

Generate linear, exponential weights and the sum of both (sum of all = 1)

Published on 14 Apr 2026 - 0:43

score 356 · Answer 9 · 2026-04-11 10:52:07

356

Views

Is the matrix of exponential kernel with $L^1$ norm positive definite?

Published on 11 Apr 2026 - 10:52

score 3k · Answer 10 · 2026-04-09 19:30:08

3k

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How do I find an unknown power in this formula?

Published on 09 Apr 2026 - 19:30

score 65 · Answer 11 · 2026-04-12 08:49:29

65

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Why does an exponential function have two forms?

Published on 12 Apr 2026 - 8:49

score 40 · Answer 12 · 2026-04-10 06:25:29

40

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How to mathematically introduce a function class of exponential decay?

Published on 10 Apr 2026 - 6:25

score 188 · Answer 13 · 2026-04-14 21:13:55

188

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How to determine if a $\lim\limits_{n \rightarrow \infty}{(1+{ix\over n})^n}$ would be complex

Published on 14 Apr 2026 - 21:13

score 214 · Answer 14 · 2026-04-17 12:39:03

214

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Using a Binary Search to find a power constant

Published on 17 Apr 2026 - 12:39

score 1.7k · Answer 15 · 2026-04-14 17:26:07

1.7k

Views

convergence of $\int^\infty_0 x^2.e^{-ax} dx$

Published on 14 Apr 2026 - 17:26

List Question

Why is the plot of bump function in two variables asymmetric?

Solving $4\cdot 25^x-25\cdot 4^{x+1}=9\cdot 10^x$

Prove by mathematical induction that $2^{3^n}+1$ is divisible by $3^{n+1}$

Show that $ \frac{1}{e}=1-1+\frac{1}{2!}-\frac{1}{3!}+...+\frac{(-1)^n}{n!}+... $.

Complications Limits of Powers

Prove:$\left( 1+\frac{1}{x} \right)^x\left[ x\ln \left( 1+\frac1x \right)+\frac1{1+x} \right]<\mathrm{e},\quad x\in (0,+\infty )$.

Exponential function passing through two points with arbitrary slope

Generate linear, exponential weights and the sum of both (sum of all = 1)

Is the matrix of exponential kernel with $L^1$ norm positive definite?

How do I find an unknown power in this formula?

Why does an exponential function have two forms?

How to mathematically introduce a function class of exponential decay?

How to determine if a $\lim\limits_{n \rightarrow \infty}{(1+{ix\over n})^n}$ would be complex

Using a Binary Search to find a power constant

convergence of $\int^\infty_0 x^2.e^{-ax} dx$

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