Question

Good approximations for $\int_{-\infty}^0 \bigg(\tanh(ax+b)\tanh(cx+d) - 1\bigg)~\mathrm{d}x$

score 89 · Answer 1 · 2020-12-17 10:18:30

89

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Good approximations for $\int_{-\infty}^0 \bigg(\tanh(ax+b)\tanh(cx+d) - 1\bigg)~\mathrm{d}x$

Published on 17 Dec 2020 - 10:18

score 200 · Answer 2 · 2020-12-23 13:44:53

200

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Verifying the hyperbolic law of cosines and law of sines..

Published on 23 Dec 2020 - 13:44

score 327 · Answer 3 · 2020-12-24 16:22:56

327

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How to deduce that $\arctan\left(\frac{a}{i}\right)=-i\cdot \text{ arctanh}(a)$

Published on 24 Dec 2020 - 16:22

score 122 · Answer 4 · 2020-12-29 13:50:09

122

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Hyperbolic functions simplifying

Published on 29 Dec 2020 - 13:50

score 41 · Answer 5 · 2020-12-29 17:31:06

41

Views

When proving hyperbolic identities why do we add one or two

Published on 29 Dec 2020 - 17:31

score 2.7k · Answer 6 · 2020-12-30 18:53:53

2.7k

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Maclaurin expansion for sech$(x)$

Published on 30 Dec 2020 - 18:53

score 330 · Answer 7 · 2021-01-02 11:27:40

330

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Range of Real Inverse Hyperbolic Cosine -- can it be negative?

Published on 02 Jan 2021 - 11:27

score 80 · Answer 8 · 2021-01-05 07:33:29

80

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Indefinite integral of $\int \frac 1 x \operatorname{arsech} \frac x a \, \mathrm d x$

Published on 05 Jan 2021 - 7:33

score 221 · Answer 9 · 2021-01-05 17:38:51

221

Views

Show that $ 2 \sinh(z)=\exp(z)-\exp(-z)$

Published on 05 Jan 2021 - 17:38

score 721 · Answer 10 · 2021-01-06 16:09:11

721

Views

What do sinh and cosh have to do with exp?

Published on 06 Jan 2021 - 16:09

score 306 · Answer 11 · 2021-01-17 11:30:28

306

Views

Fourier transform of hyperbolic function $\frac{d}{dx}\log({\sinh{x}})$

Published on 17 Jan 2021 - 11:30

score 1.5k · Answer 12 · 2021-01-24 12:50:05

1.5k

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What is a slower decay rate than hyperbolic?

Published on 24 Jan 2021 - 12:50

score 4.6k · Answer 13 · 2021-01-25 19:02:06

4.6k

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Unifying the connections between the trigonometric and hyperbolic functions

Published on 25 Jan 2021 - 19:02

score 163 · Answer 14 · 2021-02-01 00:27:49

163

Views

What is wrong with my derivation of the exponential form of $\sinh(x)$

Published on 01 Feb 2021 - 0:27

score 79 · Answer 15 · 2021-02-01 18:53:39

79

Views

Showing $\lim_{\nu\to\infty}\ln(\coth(\frac\nu2))\to2e^{-\nu}$ and $ \lim_{\nu\to0}\ln(\coth(\frac\nu2))\to-\ln(\frac\nu2)$

Published on 01 Feb 2021 - 18:53

List Question

Good approximations for $\int_{-\infty}^0 \bigg(\tanh(ax+b)\tanh(cx+d) - 1\bigg)~\mathrm{d}x$

Verifying the hyperbolic law of cosines and law of sines..

How to deduce that $\arctan\left(\frac{a}{i}\right)=-i\cdot \text{ arctanh}(a)$

Hyperbolic functions simplifying

When proving hyperbolic identities why do we add one or two

Maclaurin expansion for sech$(x)$

Range of Real Inverse Hyperbolic Cosine -- can it be negative?

Indefinite integral of $\int \frac 1 x \operatorname{arsech} \frac x a \, \mathrm d x$

Show that $ 2 \sinh(z)=\exp(z)-\exp(-z)$

What do sinh and cosh have to do with exp?

Fourier transform of hyperbolic function $\frac{d}{dx}\log({\sinh{x}})$

What is a slower decay rate than hyperbolic?

Unifying the connections between the trigonometric and hyperbolic functions

What is wrong with my derivation of the exponential form of $\sinh(x)$

Showing $\lim_{\nu\to\infty}\ln(\coth(\frac\nu2))\to2e^{-\nu}$ and $ \lim_{\nu\to0}\ln(\coth(\frac\nu2))\to-\ln(\frac\nu2)$

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