Question

Average life expectancy..exponential function

score 245 · Answer 1 · 2026-04-11 05:29:37

245

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Average life expectancy..exponential function

Published on 11 Apr 2026 - 5:29

score 163 · Answer 2 · 2026-04-17 10:01:45

163

Views

Showing inequality: $pe^{s(1-p)} + (1-p)e^{-sp} \leq e^{s^2 (3/2) p }$

Published on 17 Apr 2026 - 10:01

score 147 · Answer 3 · 2026-05-10 15:48:05

147

Views

Let $X$ be a left-invariant vector field. If $\exp(X)\in Z(G)$ then $X$ is right-invariant.

Published on 10 May 2026 - 15:48

score 296 · Answer 4 · 2026-05-10 15:10:23

296

Views

Showing inequality: $pe^{x(1-p)}+(1-p)e^{-xp} \leq e^{x^2(3/4)p}$ for $0 \leq p \leq 1/2, 0 \leq x \leq 1$?

Published on 10 May 2026 - 15:10

score 259 · Answer 5 · 2026-05-10 14:04:57

259

Views

Rotational average of exponential phase factor in spherical coordinates

Published on 10 May 2026 - 14:04

score 79 · Answer 6 · 2026-05-11 07:22:50

79

Views

verifying property of inverse function of ln without using the fact that inverse is $e^x$

Published on 11 May 2026 - 7:22

score 55 · Answer 7 · 2026-05-11 01:37:25

55

Views

Solving exponential equations with different powers

Published on 11 May 2026 - 1:37

score 7.7k · Answer 8 · 2026-05-10 13:46:47

7.7k

Views

Why $e^{i(π/3)} \ne -1$?

Published on 10 May 2026 - 13:46

score 28 · Answer 9 · 2026-04-10 09:57:29

28

Views

Integrating Mix of Functions (Just Asking for Advice!)

Published on 10 Apr 2026 - 9:57

score 58 · Answer 10 · 2026-04-16 22:18:30

58

Views

If $f(x)= \int_0^x e^t f(t)dt$ for all real $x$, then $f(x)=ce^{(e^x-1)}$ for some real $c$

Published on 16 Apr 2026 - 22:18

score 305 · Answer 11 · 2026-05-10 22:30:51

305

Views

Looking for code implementation of following exponential ramp function..

Published on 10 May 2026 - 22:30

score 57 · Answer 12 · 2026-04-16 14:38:05

57

Views

Is it coincidential that $\left(\frac{px^a}{qx^b}\right)^x$ always intersects $\frac{p^x\cdot x^a\cdot x}{q^x\cdot x^b\cdot x}$ once

Published on 16 Apr 2026 - 14:38

score 259 · Answer 13 · 2026-04-15 02:42:59

259

Views

The exponential $e=\exp 1$: one of the the main characteristic

Published on 15 Apr 2026 - 2:42

score 5.3k · Answer 14 · 2026-04-10 12:53:31

5.3k

Views

how do I solve for x when it is an exponent on both sides?

Published on 10 Apr 2026 - 12:53

score 39 · Answer 15 · 2026-04-17 22:47:03

39

Views

Prove that $r_{0,n}$ and $r_{1,n}$ are convex on $(-\infty,0)$.

Published on 17 Apr 2026 - 22:47

List Question

Average life expectancy..exponential function

Showing inequality: $pe^{s(1-p)} + (1-p)e^{-sp} \leq e^{s^2 (3/2) p }$

Let $X$ be a left-invariant vector field. If $\exp(X)\in Z(G)$ then $X$ is right-invariant.

Showing inequality: $pe^{x(1-p)}+(1-p)e^{-xp} \leq e^{x^2(3/4)p}$ for $0 \leq p \leq 1/2, 0 \leq x \leq 1$?

Rotational average of exponential phase factor in spherical coordinates

verifying property of inverse function of ln without using the fact that inverse is $e^x$

Solving exponential equations with different powers

Why $e^{i(π/3)} \ne -1$?

Integrating Mix of Functions (Just Asking for Advice!)

If $f(x)= \int_0^x e^t f(t)dt$ for all real $x$, then $f(x)=ce^{(e^x-1)}$ for some real $c$

Looking for code implementation of following exponential ramp function..

Is it coincidential that $\left(\frac{px^a}{qx^b}\right)^x$ always intersects $\frac{p^x\cdot x^a\cdot x}{q^x\cdot x^b\cdot x}$ once

The exponential $e=\exp 1$: one of the the main characteristic

how do I solve for x when it is an exponent on both sides?

Prove that $r_{0,n}$ and $r_{1,n}$ are convex on $(-\infty,0)$.

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