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  1. Taylor Series Expansion of $\tanh x$ - Mathematics Stack Exchange

    Jul 11, 2020 · I know how to find the Taylor expansion of both $\sinh x$ and $\cosh x$, but how would you find the Taylor expansion of $\tanh x$. It seems you can't just divide both the Taylor series of …

  2. pronunciation of sinh x, cosh x, tanh x for short [closed]

    I heard teachers say [cosh x] instead of saying "hyperbolic cosine of x". I also heard [sinch x] for "hyperboic sine of x". Is this correct? How would you pronounce tanh x? Instead of saying "

  3. Rapid approximation of $\tanh (x)$ - Mathematics Stack Exchange

    Assuming the numbers are stored in fixed point with an 8 bit fractional part then the approximation to $\tanh (x)$ should work to the limit implied by the resolution, or for arguments $\tanh^ {-1} (\pm [1 - …

  4. machine learning - Why is tanh almost always better than sigmoid as …

    Feb 26, 2018 · The tanh function on the other hand, has a derivativ of up to 1.0, making the updates of W and b much larger. This makes the tanh function almost always better as an activation function …

  5. How do I derive the Maclaurin series for $\tanh (x)$?

    Jun 3, 2015 · In general, I believe it is a difficult problem to divide two infinite series to get another infinite series. And comparing two ratios of infinite series is also not trivial, unless you're talking about …

  6. $n$th derivative of $\tanh$ - Mathematics Stack Exchange

    Jan 29, 2018 · It is known that $$ \tan z=\operatorname {i}\tanh (\operatorname {i}z). $$ So, from the derivative polynomial of the tangent function $\tan z$, we can derive the derivative polynomial of the …

  7. machine learning - tanh activation function vs sigmoid activation ...

    2 Generally speaking, $\tanh$ has two main advantages over a sigmoid function: It has a slightly bigger derivative than the sigmoid (at least for the area around 0), which helps it to cope a bit better with the …

  8. Expressing hyperbolic functions in terms of $e$.

    However, this is wrong, as the actual solution is: $$\tanh (-3)=-\dfrac {e^3-1} {e^3+1}$$ What have I done that is unacceptable, hence making my solution wrong? How is the actual solution obtained? …

  9. Why the error function is so similar to the hyperbolic tangent?

    Aug 15, 2016 · Explore the mathematical similarities between the error function and hyperbolic tangent, including their properties and applications in various fields.

  10. Converting $\tanh^ {-1} {x}$ to an expression involving the natural ...

    Jan 15, 2012 · Converting $\tanh^ {-1} {x}$ to an expression involving the natural logarithm Ask Question Asked 13 years, 10 months ago Modified 7 years ago