\[\newcommand{\vect}[1]{\vec{\boldsymbol{#1}}}
\newcommand{\uvect}[1]{\hat{\boldsymbol{#1}}}
\newcommand{\abs}[1]{\lvert#1\rvert}
\newcommand{\norm}[1]{\lVert#1\rVert}
\newcommand{\I}{\mathrm{i}}
\newcommand{\ket}[1]{\left|#1\right\rangle}
\newcommand{\bra}[1]{\left\langle#1\right|}
\newcommand{\braket}[1]{\langle#1\rangle}
\newcommand{\Braket}[1]{\left\langle#1\right\rangle}
\newcommand{\op}[1]{\boldsymbol{#1}}
\newcommand{\mat}[1]{\boldsymbol{\underaccent{\bar}{#1}}} % For LaTeX
\renewcommand{\mat}[1]{\boldsymbol{#1}}
\providecommand{\d}{\mathrm{d}}
\renewcommand{\d}{\mathrm{d}}
\newcommand{\T}{\mathrm{T}} % For transpose
\newcommand{\D}[1]{\mathcal{D}[#1]\;}
\newcommand{\pdiff}[3][]{\frac{\partial^{#1}#2}{\partial{#3}^{#1}}}
\newcommand{\diff}[3][]{\frac{\d^{#1} #2}{\d{#3}^{#1}}}
\newcommand{\ddiff}[3][]{\frac{\delta^{#1} #2}{\delta{#3}^{#1}}}
\newcommand{\floor}[1]{\left\lfloor#1\right\rfloor}
\newcommand{\ceil}[1]{\left\lceil#1\right\rceil}
\DeclareMathOperator{\Tr}{Tr}
\DeclareMathOperator{\erf}{erf}
\DeclareMathOperator{\erfi}{erfi}
\DeclareMathOperator{\sech}{sech}
\DeclareMathOperator{\sinc}{sinc}
\DeclareMathOperator{\sn}{sn}
\DeclareMathOperator{\cn}{cn}
\DeclareMathOperator{\dn}{dn}
\DeclareMathOperator{\sgn}{sgn}
\DeclareMathOperator{\order}{O}
\DeclareMathOperator{\diag}{diag}
\DeclareMathOperator{\span}{span}
\DeclareMathOperator{\GP}{\mathcal{GP}}
\DeclareMathOperator{\N}{\mathcal{N}}
\newcommand{\mylabel}[1]{\label{#1}\tag{#1}}
\newcommand{\degree}{\circ}
% These replace SIunitx. They should not be defined in LaTeX.
\newcommand{\SI}[2]{#1\;\mathrm{#2}}
\newcommand{\si}[1]{\mathrm{#1}}
\let\qty\SI
\let\unit\si
\newcommand{\squared}{{^{2}}}
\newcommand{\cubed}{{^{3}}}
\newcommand{\per}{/}
\newcommand{\tera}{T}
\newcommand{\giga}{G}
\newcommand{\mega}{M}
\newcommand{\kilo}{k}
\newcommand{\milli}{m}
\newcommand{\micro}{μ}
\newcommand{\nano}{n}
\newcommand{\kilogram}{\text{kg}\,}
\newcommand{\meter}{\text{m}\,}
\newcommand{\second}{\text{s}\,}
\newcommand{\ampere}{\text{A}\,}
\newcommand{\kelvin}{\text{K}\,}
\newcommand{\mol}{\text{mol}\,}
\newcommand{\candela}{\text{cd}\,}
\newcommand{\newton}{\text{N}\,}
\newcommand{\hertz}{\text{Hz}\,}
\newcommand{\pascal}{\text{Pa}\,}
\newcommand{\volt}{\text{V}\,}
\newcommand{\watt}{\text{W}\,}
\newcommand{\joule}{\text{J}\,}
\newcommand{\henry}{\text{H}\,}
\newcommand{\farad}{\text{F}\,}
\newcommand{\coulomb}{\text{C}\,}
\newcommand{\ohm}{\Omega\,}
\newcommand{\weber}{\text{Wb}\,}
\newcommand{\tesla}{\text{T}\,}
\newcommand{\degree}{\text{deg}\,}
\]
phys_581.testing
Tools for testing.
Module Contents
-
class Functions(L=1.0, eta=0.5)
Various functions like f_η(x) used for testing in the documentation.
This function is periodic with period L, \(C^∞\), analytic for eta<1 and
non-analytic for eta=1.
-
L
Period.
- Type:
float
-
eta
Smoothness parameter. eta=0 is a constant function, 0<eta<1 is analytic. eta=1
is \(C^∞\) but non-analytic at the middle of the interval.
- Type:
float
-
L = 1.0
-
eta = 0.5
-
k
-
f(x, d=0)
Return the d’th derivative.
-
__call__(x, d=0)
