Question

Average life expectancy..exponential function

score 242 · Answer 1 · 2018-03-27 23:40:09

242

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Average life expectancy..exponential function

Published on 27 Mar 2018 - 23:40

score 160 · Answer 2 · 2018-03-28 02:14:17

160

Views

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

Published on 28 Mar 2018 - 2:14

score 144 · Answer 3 · 2026-03-25 12:28:24

144

Views

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

Published on 25 Mar 2026 - 12:28

score 295 · Answer 4 · 2026-03-25 07:45:50

295

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 25 Mar 2026 - 7:45

score 254 · Answer 5 · 2026-03-25 03:00:50

254

Views

Rotational average of exponential phase factor in spherical coordinates

Published on 25 Mar 2026 - 3:00

score 76 · Answer 6 · 2026-03-25 09:53:26

76

Views

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

Published on 25 Mar 2026 - 9:53

score 50 · Answer 7 · 2026-03-25 06:31:44

50

Views

Solving exponential equations with different powers

Published on 25 Mar 2026 - 6:31

score 7.7k · Answer 8 · 2026-03-25 09:22:36

7.7k

Views

Why $e^{i(π/3)} \ne -1$?

Published on 25 Mar 2026 - 9:22

score 25 · Answer 9 · 2018-03-31 01:49:27

25

Views

Integrating Mix of Functions (Just Asking for Advice!)

Published on 31 Mar 2018 - 1:49

score 55 · Answer 10 · 2018-03-31 07:34:36

55

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 31 Mar 2018 - 7:34

score 302 · Answer 11 · 2026-03-25 05:58:55

302

Views

Looking for code implementation of following exponential ramp function..

Published on 25 Mar 2026 - 5:58

score 54 · Answer 12 · 2018-03-31 21:49:49

54

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 31 Mar 2018 - 21:49

score 256 · Answer 13 · 2018-04-01 10:21:09

256

Views

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

Published on 01 Apr 2018 - 10:21

score 5.3k · Answer 14 · 2018-04-02 05:30:13

5.3k

Views

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

Published on 02 Apr 2018 - 5:30

score 35 · Answer 15 · 2026-03-20 01:46:37

35

Views

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

Published on 20 Mar 2026 - 1:46

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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