(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) In polymer chemistry, a simple empirical formula that relates molecular weight to the glass transition temperature of a polymer system.

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.

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

plural of Lotka-Volterra equation

(physics) A nonlinear partial differential equation that describes the capillary pressure difference sustained across the interface between two static fluids, such as water and air, due to the phenomenon of surface tension or wall tension.

a method used to estimate the parameters of a generalized linear model with a possible unknown correlation between outcomes

(chemistry) An ionic equation in which spectator ions are omitted, i.e. only the reacting ions are included in the equation.

plural of net ionic equation