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The Fuchsian theory of linear differential equations, which is named after Lazarus Immanuel Fuchs, provides a characterization of various types of singularities and the relations among them. At any ordinary point of a homogeneous linear differential equation of order n {\displaystyle n} there exists a fundamental system of n {\displaystyle n ...
Stanley Lieberson (April 20, 1933 – March 19, 2018) was an American sociologist. Born in Montreal , Quebec , Canada, Lieberson was raised in Brooklyn and graduated from Abraham Lincoln High School before attending Brooklyn College .
In mathematics, the power series method is used to seek a power series solution to certain differential equations. In general, such a solution assumes a power series with unknown coefficients, then substitutes that solution into the differential equation to find a recurrence relation for the coefficients.
In calculus, the power rule is used to differentiate functions of the form () =, whenever is a real number. Since differentiation is a linear operation on the space of differentiable functions, polynomials can also be differentiated using this rule.
Erik Olin Wright (February 9, 1947 – January 23, 2019) was an American analytical Marxist sociologist at the University of Wisconsin–Madison, specializing in social stratification and in egalitarian alternative futures to capitalism.
Lanchester's laws are mathematical formulas for calculating the relative strengths of military forces.The Lanchester equations are differential equations describing the time dependence of two armies' strengths A and B as a function of time, with the function depending only on A and B. [1] [2]
The differential equation is said to be in Sturm–Liouville form or self-adjoint form.All second-order linear homogenous ordinary differential equations can be recast in the form on the left-hand side of by multiplying both sides of the equation by an appropriate integrating factor (although the same is not true of second-order partial differential equations, or if y is a vector).
Motivated by the appearance of Painlevé transcendents in correlation functions in the theory of Bose gases, Michio Jimbo, Tetsuji Miwa and Kimio Ueno extended the notion of isomonodromic deformation to the case of irregular singularities with any order poles, under the following assumption: the leading coefficient at each pole is generic, i.e ...