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{{short description|Algebraic expansion of powers of a binomial}} ...को में उपयोगी होता है।<ref>Artin, ''Algebra'', 2nd edition, Pearson, 2018, equation (4.7.11).</ref>

{{Equation box 1 |equation = <math> \widehat{S}(\theta , \hat{\mathbf{a}}) = \exp\left( - \frac{i}{\hb

...menez J.C, Shoji I.,Ozaki T. (1999) "Simulación of stochastic differential equation through the local linearization method. A comparative study". J. Statist. P ...ल योजना प्रस्तुत करता है। <ref name=":23">Jimenez, J. C. (2002). "A simple algebraic expression to evaluate the local linearization schemes for stochastic diffe

...f>{{harvnb|Granville|2008|loc=section 1}}: "The main difference is that in algebraic number theory [...] one typically considers questions with answers that are ...iste Galois]]; in modern language, the main outcome of his work is that an equation ''f''(''x'')&nbsp;=&nbsp;0 can be solved by radicals

...definite integral inputs a function and outputs a number, which gives the algebraic sum of areas between the graph of the input and the [[x-axis]]. The technic ...r [[antiderivative]]s. It is also a prototype solution of a [[differential equation]]. Differential equations relate an unknown function to its derivatives, an

...रम|journal=Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation |year=1997 |pages=197–204 |doi=10.1145/258726.258783| isbn=97 ...ोन्मुख श्रृंखला|journal=SIGSAM (ACM Special Interest Group in Symbolic and Algebraic Manipulation) |volume=47 |issue=185 |pages=75–83|doi=10.1145/2576802.2576

...rezin | first1=F. A. | last2=Shubin | first2=M. A. | title=The Schrödinger Equation | publisher=Kluwer | year=1991 }} ...atical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation | publisher=Springer-Verlag | year=2018 | isbn=978-3-319-70706-

...= David |last1 = Colton |first2 = Rainer |last2 = Kress |title = Integral Equation Methods in Scattering Theory |publisher = Society for Industrial and Appli ...atical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation |edition = 2nd |publisher=Springer |year=2018 |isbn=978-3-319-7

|journal = SIAM Journal on Algebraic and Discrete Methods ...र्ण था)।{{efn|Alternatively <math>\mathbf {y}</math> can be defined by the equation <math>\mathbf{y} := M\mathbf {x}</math>, where multiplication is [[logical

...'Principia Mathematica'' actually used a finite difference version of this equation based upon ''impulse''. See ''[[Newton's laws of motion#Impulse|Impulse]]'' ...f>{{cite book|last=Howland|first=R.A.|title=Intermediate dynamics a linear algebraic approach|date=2006|publisher=Springer|location=New York|isbn=9780387280592|

...imaginary numbers have necessarily to appear in the cubic formula when the equation has three real, different roots by Pierre Laurent Wantzel in 1843, Vincenzo ...us resolvi posse."''] [New proof of the theorem that any rational integral algebraic function of a single variable can be resolved into real factors of the firs

...itle=A particle approximation of the solution of the Kushner–Stratonovitch equation |journal=Probability Theory and Related Fields |date=1999 |volume=115 |issu ...oceeding ISSAC '92 Papers from the International Symposium on Symbolic and Algebraic Computation |pages=123–129 |doi = 10.1145/143242.143290 |isbn = 978-0-897