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T(h,a)=\frac{1}{2\pi}\int_{0}^{a} \frac{e^{-\frac{1}{2} h^2 (1+x^2)}}{1+x^2} dx \quad \left(-\i ...and accurate Calculation of Owen’s T-Function]", ''Journal of Statistical Software'', 5 (5), 1&ndash;25. </ref> [[Gaussian quadrature|quadrature]] having been ...

:<math>w_i = \frac {2^{n-1} n! \sqrt{\pi}} {n^2[H_{n-1}(x_i)]^2}.</math> <math>E[h(y)] = \int_{-\infty}^{+\infty} \frac{1}{\sigma \sqrt{2\pi}} \exp \left( -\frac{(y-\mu)^2}{2\sigma^2} \right) h(y) dy</math> ...

...2010, y-cruncher has been used for all record calculations of the number [[pi]] and other constants. The software is downloadable from the website of the developers for [[Microsoft Windows] ...

<math>\mathcal{G}(i\omega_n) = \int_{-\infty}^{\infty} \frac{d\omega}{2\pi} \frac{1}{i\omega_n - \omega}\; A(\omega)</math> ...for [[Fermion|fermionic]] systems or <math display="inline">\omega_n = 2n \pi/\beta</math> for [[Boson|bosonic]] ones and <math display="inline">\beta=1/ ...

== Related terms and performance metrics == ...nt at which the performance saturates at the peak performance level <math>\pi</math>, that is where the diagonal and horizontal roof meet, is defined as ...

...ean <math> \mu </math> of 5 or 10 and proportion of zero inflation <math> \pi </math> of 0.2 or 0.5 are shown below, based on the R program ZeroInflPoiDi :<math> \Pr (Y = 0) = \pi + (1 - \pi) e^{-\lambda} </math> ...

...hese functions have practical applications in several engineering problems related to transport of thermal<ref>Z. Altaç, Exact series expansions, recurrence r : <math> \operatorname{Ki}_n (x) = \int_0^{\pi/2} e^{-x/\cos \theta}\cos^{n-1}\theta \, d\theta.</math> ...

...ournal=Proceedings of the First International Conference on Foundations of Software Science and Computation Structure (March 28 - April 4, 1998). M. Nivat, ed. Since its inception, the ambient calculus has grown into a family of closely related ambient calculi. ...

...of scientific publications about extensions, applications and discussions related to the Promethee methods<ref name="applications">{{Cite news|author1=M. Beh The basic data related to such a problem can be written in a table containing <math>n\times q</mat ...

...a - \Delta \lambda } - ( f + \Delta f )t \right) \right] + \sin \left[ 2 \pi \left( \frac {x}{\lambda + \Delta \lambda } - ( f - \Delta f )t \right) \ri ...{x} {\lambda_{\rm mod}} - \Delta f \ t \right) \right] \ \sin \left[ 2 \pi \left( \frac {x}{\lambda} - f \ t \right) \right] ...

* Related quantities such as mean, median, mode and variance. ...ly different formulas. This leads to issues when exchanging models between software tools.<ref> ...

{{Infobox software .../static/harp/ HARP Overview] [http://iacl.ece.jhu.edu/index.php/Resources (Software Download)] ...

...ndependence (AI), Utility-independence (UI) and Preferential-independence (PI).<ref name=KR/>{{rp|344}} ...on ''sure outcomes'' and is explained in the article on [[Ordinal utility#PI|ordinal utility]]. ...

| related to = The [[reference implementation]] is [[public-domain software]].<ref>{{cite web ...

...ning old interferometry techniques with modern electronics, computers, and software has produced extremely powerful measurement tools. [[Yuri Denisyuk]] and [[ <math>S( \nu)= \frac{1}{ \sqrt{ \pi} \Delta \nu} \exp \left[- \left( \frac{\left( \nu- \nu_0 \right)}{ \Delta \ ...

+\left(\pi^2/6\right)+2\gamma\ln\left(\eta\right)+[\ln\left(\eta\right)]^2-e^{\eta}[\t ...n2001/> and [[actuaries]].<ref name=Benjamin1980/><ref name=Willemse2000/> Related fields of science such as biology<ref name=Economos1982/> and gerontology<r ...

| journal = Statistical Decision Theory and Related Topics IV ...x) \, \mathrm{d}x</math> where <math> \textstyle f(x) = (1 + x^2) \sin(5 \pi x) + 8/5 </math>. The posterior distribution (blue) concentrates on the tru ...

...um (GlobalSIP 2014), paper: WdBD-L.1, Atlanta, December 2014.</ref> PST is related to [[time stretch dispersive Fourier transform]].<ref>Y. Han and B. Jalali, : <math>E_o(z,t)= \frac{1}{2\pi} \int_{-\infty}^\infty \tilde{E}_i(0,\omega) \cdot e^\frac{-i\beta_2z\omega ...

{{Short description|1979 computer software}} {{Infobox software ...

| related = ''[[The Mechanical Universe]]'' ===''The Story of Pi''=== ...