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{{DISPLAYTITLE:Zhao Youqin's {{pi}} algorithm}} ...o Youqin circle dissection algorithm.jpg|thumb|right|300px|Zhao Youqin's {{pi}} algorithm]] ...

...t description|Function used as a performance test problem for optimization algorithms}} ...able values are <math>a = 20</math>, <math>b = 0.2</math>, and <math>c = 2\pi</math>. ...

...m the stationary distribution of a [[Markov chain]]. Contrary to many MCMC algorithms, coupling from the past gives in principle a perfect sample from the [[stat ...ath>S</math> and (unique) stationary distribution <math>\pi</math> (<math>\pi</math> is a [[probability vector]]). Suppose that we come up with a probabi ...

...8 by András Gilyén, Yuan Su, Guang Hao Low, and Nathan Wiebe, generalizing algorithms for Hamiltonian simulation of Guang Hao Low and [[Isaac Chuang]] inspired b ...then <math> \prod_{k=1}^{\frac{d-1}{2}} \Pi_{\phi_{2k}}U^{\dagger}\tilde{\Pi}_{\phi_{2k+1}} U </math> to <math>|0\rangle^{\otimes n}</math> ...

F_{t+1}(n) &= \sum_{k=0}^{N-1} f_{k+t+1}e^{-j2\pi k n/N}\\ &= \sum_{m=1}^N f_{m+t}e^{-j2\pi (m-1) n/N} \\ ...

{{Evolutionary algorithms}} ...ution strategies''' ('''NES''') are a family of [[numerical optimization]] algorithms for [[black box]] problems. Similar in spirit to [[evolution strategies]], ...

A [[Parameterized complexity|parameterized problem]] <math> \Pi </math> is a subset of <math>\Gamma^{*}\times \mathbb{N}</math> for some fi A parameterized problem <math>\Pi</math> is ''minor-bidimensional'' if ...

...ent whole signal with small approximation error. Some [[matching pursuit]] algorithms are proposed in reference papers to minimize approximation error when given x(t) \approx \sum_{m=1}^M a_m \cdot e^{j 2\pi mt/T} ...

The aim is to simulate from some [[probability density function]] <math>\pi(\theta) </math>. The algorithm follows the same steps as the standard Metro :<math>a(\theta_n, \theta') = \min\left(1,\frac{\pi(\theta')}{\pi(\theta_n)}\frac{Q(\theta_n\mid\theta')}{Q(\theta'\mid\theta_n)}\right) </ma ...

...1=Xuebin | last2=Wang | first2=Ying |last3=Yan | first3=Zhiyuan | title=On Algorithms and Complexities of Cyclotomic Fast Fourier Transforms Over Arbitrary Finit ...<math>O(N^2)</math> complexity. Fast Fourier transforms are just efficient algorithms evaluating the above matrix-vector product. ...

...ent, the classical constants [[e (mathematical constant)|e]], [[pi|<math>\pi,</math>]] the [[Euler–Mascheroni constant|Euler constant]] <math>\gamma,</m ...tional advantage of the method FEE is the possibility of parallelizing the algorithms based on the FEE. ...

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 Computer algorithms for the accurate calculation of this function are available;<ref>Patefield, ...

: <math>\pi (x) - \pi (x^{1/2}) + 1 = \lfloor x \rfloor - \sum_{i} \lfloor x/p_i \rfloor + \sum_{ ...sub>(''x'', ''a'') = 1}} and {{Math|1=''P''₁(''x'', ''a'') = ''&pi;''(''x'') &minus; ''a''}}, we get ...

Phase estimation is frequently used as a subroutine in other quantum algorithms, such as [[Shor's algorithm]],<ref name=nielchuan>{{cite book|last1=Nielsen ...ctors |eigenvector]] of <math>U</math>, then <math>U| \psi\rangle = e^{ 2\pi i \theta}\left|\psi \right\rangle </math> for some <math>\theta\in\mathbb{R ...

...verse of Gamma |conference=International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC) |date=2017 |pages=65 |doi=10.1109/SYNASC. ...t(\frac{x}{\sqrt{2\pi}}\right)}{W_{0}\left(e^{-1}\ln\left(\frac{x}{\sqrt{2\pi}}\right)\right)}\,,</math> ...

...alued polynomial]] ''p'' without linear terms can be written as ''AB'' = ''pI'', where ''A'' and ''B'' are [[square matrices]] and ''I'' is the [[identit [[Category:Polynomial factorization algorithms]] ...

...the sum of positive edge weights across clusters). Unlike other clustering algorithms this does not require [[Determining the number of clusters in a data set|ch ...ath>. A clustering of <math>G</math> is a partition of its node set <math>\Pi=\{\pi_1,\dots,\pi_k\}</math> with <math>V=\pi_1 \cup \dots \cup \pi_k</math ...

...ification can be used to obtain a quadratic speedup over several classical algorithms. ...math>\theta = \arcsin\left( \left| P |\psi\rangle \right| \right) \in [0, \pi/2]</math>, ...

...bl efficient and exact optimization crucial for the advancement of quantum algorithms in chemistry, optimization, and machine learning. where <math>\phi_1\in (0,\pi)</math>. ...

Let <math>\pi</math> be a [[permutation]]. ...007|pp=27}}{{sfn|Comtet|1974|pp=237}} or the elements <math>\bigl(\pi(i), \pi(j)\bigr)</math>.{{sfn|Knuth|1973|pp=11}}{{sfn|Pemmaraju|Skiena|2003|pp=69}} ...