Cauchy's equation
Cauchy's equation A plot of refactive index vs. wavelength ... glass. Over the visible region (red shading), Cauchy's equation (blue line) agrees well with ...
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Image:Cauchy-equation-1.png
Image:Cauchy-equation-1.png Image File history File links Cauchy-equation-1.png Summary Plot of Cauchy's equation for BK7 glass. By ...
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Functional equation   (translated from German)
Functional equation In that Mathematics becomes one Equation , into odere several Functions more independently Variable one are searched, as Functional equation designated. Many functions can be defined over a which is the basis functional equation. Usually functional equation only such equations are called, by ...
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Partial differential equation
Partial differential equation In mathematics, a partial differential equation (PDE) is a relation involving an unknown ... fields. Introduction A very simple partial differential equation is $\backslash frac\{\backslash part\; u\}\{\backslash part\; x\; ...\; x.\; Hence\; the\; general\; solution\; of\; this$equation is $u(x,y)\; =\; f(y\; ...\; function\; of\; y.\; The\; analogous\; ordinary\; differential$equation is $\backslash frac\{du\}\{dx\}=0\backslash ,$
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Cauchy boundary condition
Cauchy boundary condition In mathematics, a Cauchy boundary condition imposed on an ordinary differential equation or a partial differential equation specifies both the values a solution of a differential equation is to take on the boundary ...
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Ordinary differential equation
Ordinary differential equation ODE redirects here. For the real-time ... and particularly in analysis, an ordinary differential equation (or ODE) is a relation that contains ... isotope. Another example of an ordinary differential equation is Newton's second law of motion of a single ... 2 u}{dt^2}\,. Thus Newton's second law implies the differential equation < ...
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Functional equation
Functional equation In mathematics or its applications, a functional equation is an equation in terms of independent variables, and also ... equations they satisfy. Usually the term functional equation is reserved for equations that are not ... to be solved for. Examples The functional equation $\backslash zeta(s)\; =\; 2^s\backslash pi^\{\; ...$
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Cauchy distribution
Cauchy distribution Cauchy-Lorentz Probability density function The green line is the standard Cauchy distribution Cumulative distribution function Colors match the ... math>\exp(x_0\,i\,t-\gamma\, The Cauchy-Lorentz distribution, named after Augustin Cauchy and Hendrik Lorentz, is a continuous ...
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Cauchy problem
Cauchy problem Consider a smooth hypersurface $$S\in\mathbb{R}^n having a ... mathbf{d}(\mathbf{x})},\mathbf{x}\in S, i.e. $\backslash hat\{\backslash mathbf\{d\; ...\; mathbf\{x\})\}\backslash neq0,\; \backslash forall\backslash mathbf\{x\}\backslash in$S where $\backslash hat\{\backslash mathbf\{n\}(\backslash mathbf\; ...\; is\; the\; unitary\; vector\; perpendicular\; to$ $$S. The general Cauchy problem, consists ...
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Differential equation
Differential equation In mathematics, a differential equation is an equation in which the derivatives of a function ... scientific fields. A celebrated example is Fourier's theory of the conduction of heat in ... scientific fields. The order of a differential equation is that of the highest derivative ...
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