12-25-2016
OK, first establish the constants:
beer-bottle=10, hamburger=5, beer-glass=2, hot dog=x
So we have the integral from 0 to infinity of 10sin(x) / 2x dx. This (the so-called "Dirichlet-Integral") is an improper integral. As the integral from 0 to infinity of sin( \omega ) / \omega d\omega = \pi/2 we get 5 \pi / 2 or, after applying the linguistic uncertainty-relation ("pi" => "pie"):
two pies and a half.
bakunin
Last edited by bakunin; 12-25-2016 at 05:49 PM..
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LEARN ABOUT REDHAT
pdl::gslsf::fermi_dirac
FERMI_DIRAC(3) User Contributed Perl Documentation FERMI_DIRAC(3)
NAME
PDL::GSLSF::FERMI_DIRAC - PDL interface to GSL Special Functions
DESCRIPTION
This is an interface to the Special Function package present in the GNU Scientific Library. Please note that:
Complete Fermi-Dirac Integrals:
F_j(x) := 1/Gamma[j+1] Integral[ t^j /(Exp[t-x] + 1), {t,0,Infinity}]
Incomplete Fermi-Dirac Integrals:
F_j(x,b) := 1/Gamma[j+1] Integral[ t^j /(Exp[t-x] + 1), {t,b,Infinity}]
SYNOPSIS
Functions
FUNCTIONS
gsl_sf_fermi_dirac_int
Signature: (double x(); double [o]y(); double [o]e(); int j)
Complete integral F_j(x) for integer j
gsl_sf_fermi_dirac_mhalf
Signature: (double x(); double [o]y(); double [o]e())
Complete integral F_{-1/2}(x)
gsl_sf_fermi_dirac_half
Signature: (double x(); double [o]y(); double [o]e())
Complete integral F_{1/2}(x)
gsl_sf_fermi_dirac_3half
Signature: (double x(); double [o]y(); double [o]e())
Complete integral F_{3/2}(x)
gsl_sf_fermi_dirac_inc_0
Signature: (double x(); double [o]y(); double [o]e(); double b)
Incomplete integral F_0(x,b) = ln(1 + e^(b-x)) - (b-x)
AUTHOR
This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.trieste.it> All rights reserved. There is no warranty. You are allowed to
redistribute this software / documentation under certain conditions. For details, see the file COPYING in the PDL distribution. If this
file is separated from the PDL distribution, the copyright notice should be included in the file.
The GSL SF modules were written by G. Jungman.
perl v5.8.0 2003-01-29 FERMI_DIRAC(3)