plural of Cauchy-Riemann equation

(mathematics, complex analysis, always plural) Given a complex-valued function f and real-valued functions u and v such that f(z) = u(z) + iv(z), either of the equations (∂u)/(∂x)=(∂v)/(∂y) or (∂u)/(∂y)=-(∂v)/(∂x), which together form part of the criteria that f be complex-differentiable.

(chemistry) An equation describing the derivation of pH as a measure of acidity (using pKa, the negative log of the acid dissociation constant) in biological and chemical systems.

(mathematics) A special kind of integral equation, having applications in demography, the study of viscoelastic materials, and actuarial science.

plural of Lotka-Volterra equation

plural of Volterra integral equation

Either of a pair of first-order nonlinear differential equations that are frequently used to describe the dynamics of biological systems in which two species interact, one as a predator and the other as prey.

plural of stochastic differential equation

plural of delay differential equation

(calculus) a type of differential equation in which one or more of the terms is a stochastic process resulting in a solution which is itself a stochastic process