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...erstand how the optimal value for a choice variable changes when a feature of the environment changes. The result states that if ''f'' is [[supermodular ...ntage of using Topkis's theorem is that it can be applied to a wider class of problems than can be studied with standard economics tools. ...

...near dynamical system is stable without solving the system. [[Derivation of the Routh array|The Routh–Hurwitz theorem was proved]] in 1895, and it was ...ub>(''y'')}}, respectively the [[complex number|real and imaginary parts]] of {{math|''f''}} on the imaginary line. ...

| fields = [[Mathematics]] ...rican [[mathematician]], best known for his [[Kakutani fixed-point theorem|eponymous fixed-point theorem]]. ...

...is of rotation. <math>\Omega</math> must be large compared to the movement of the solid body in order to make the [[Coriolis force]] large compared to th ...th> is the [[angular velocity]] vector. If the [[Curl (mathematics)|curl]] of this equation is taken, the result is the Taylor–Proudman theorem: ...

...cientific laws named after people''' ([[eponymous laws]]). For other lists of eponyms, see [[eponym]]. | [[Archimedes's principle]]<br />[[Axiom of Archimedes]]|| Physics<br />[[mathematical analysis|Analysis]]|| [[Archimed ...

...ever [[Edmond Halley#Publications and inventions|mathematical prediction]] of such astronomical phenomenon in the sky, not to its discovery). ...hers.<ref>For example, [[Henry Dudeney]] noted in his 1917 ''Amusements in Mathematics'' [https://archive.org/details/AmusementsInMathematicsDudeneyHenry/page/n31 ...

{{short description|Number of form 2^(2^p-1)-1 with prime exponent}} ...]], a '''double Mersenne number''' is a [[Mersenne prime|Mersenne number]] of the form ...

...al|url=https://www.researchgate.net/publication/250673075|title=The legacy of Amal Kumar Raychaudhuri|first=Parongama|last=Sen|date=1 April 2008|journal= ...-date=4 March 2016}}</ref> <br /> [[Indian Association for the Cultivation of Science]]<br />[[Presidency College, Kolkata]] ...

{{Short description|3D generalization of the Leibniz integral rule}} ...of integrated quantities and is useful in formulating the basic equations of [[continuum mechanics]]. ...

{{short description|On the unique representation of integers as sums of non-consecutive Fibonacci numbers}} ...ndorf]], is a [[theorem]] about the representation of [[integer]]s as sums of [[Fibonacci number]]s. ...

...neralized, from the [[quadratic reciprocity law]] and the reciprocity laws of [[Gotthold Eisenstein|Eisenstein]] and [[Ernst Kummer|Kummer]] to [[David H Let <math>L/K</math> be a [[Galois extension]] of [[global field]]s and <math>C_L</math> stand for the [[Adelic algebraic gro ...

{{Short description|Equation for fixed point of functional composition}} ...röder (mathematician)|Ernst Schröder]] (1841–1902) in 1870 formulated his eponymous equation.]] ...

[[File:Gnuplot ellipsoid.svg|thumb|200px|Figure 2: Wireframe rendering of an ellipsoid (oblate spheroid)]] ...lowing the [[ellipticity]] of the Earth to be calculated from measurements of gravity at different latitudes. Today it has been largely supplanted by th ...

|field = [[Mathematics]] |work_institutions = [[Lviv University|University of Lwów]] ...

...um|equilibrium]] configuration solely by the [[electrostatic]] interaction of the charges. This was first proven by British mathematician [[Samuel Earnsh ...and [[gravitational force|gravitational]]) and also to the magnetic forces of [[permanent magnet]]s, if the magnets are hard (the magnets do not vary in ...

...s generalized the work of [[Georg Ohm]]<!-- 1827 --> and preceded the work of [[James Clerk Maxwell]]<!-- 1873 -->. Widely used in [[electrical engineeri ...for DC circuits, and for AC circuits at frequencies where the wavelengths of electromagnetic radiation are very large compared to the circuits. ...

{{Short description|Branch of mathematics that studies sets}} {{About|the branch of mathematics}} ...

...hat the composition of two rotations is also a rotation. Therefore the set of rotations has a group structure, known as a ''[[3D rotation group|rotation ...[[kinematics]] yields the concept of [[instant axis of rotation]], a line of fixed points. ...

...agram.svg|alt=|frame|Torricelli's law describes the parting speed of a jet of water, based on the distance below the surface at which the jet starts, ass In this case, the jets have an [[Envelope (mathematics)|envelope]] (a concept also due to Torricelli) which is a line descending a ...

...lassical [[a priori probability]].<ref>Harald J. W. Müller-Kirsten, Basics of Statistical Physics, 2nd ed., World Scientific (Singapore, 2013)</ref> ...Ryogo|date=1963-02-01|title=Stochastic Liouville Equations|journal=Journal of Mathematical Physics|volume=4|issue=2|pages=174–183|doi=10.1063/1.1703941|b ...