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Results tagged with approximation-theory
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user 118199
Approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby.
3
votes
1
answer
349
views
A good starting position for maximizing a function with Newton-Raphson / Halley's method
I'm attempting to find the maximum of this function:
\begin{align*}
h(\mathbf{t}) = -\left\{\sum_{i=1}^{n}\lambda_i e^{\boldsymbol{\theta}_i^\intercal \mathbf{t}}\right\} + \boldsymbol{\alpha}^\inter …
- 229
1
vote
0
answers
93
views
Integral of exponential of quadratics + exponentials
Eq 2 of this paper states this integral:
\begin{align*}
r^{-\beta} = \frac{1}{\Gamma(\beta)}\int_{-\infty}^{\infty} e^{-re^t + \beta t} dt
\end{align*}
Is there is name for this identity, or the class …
- 229