plural of delay differential equation

plural of stochastic 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

(calculus) a type of differential equation in which the derivative of the unknown function at a certain time is given in terms of the values of the function at previous times

plural of absolute personal equation

The difference between an observed value and a standard value assumed as true.

(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.

(physics) An equation that attempts to meld the ideas of quantum mechanics and general relativity. It describes the quantum version of the Hamiltonian constraint using metric variables.

(mechanics, analytical mechanics) A differential equation which describes a function mathbf q(t) which describes a stationary point of a functional, S( mathbf q)=∫L(t, mathbf q(t), mathbf ̇q(t)),dt, which represents the action of mathbf q(t), with L representing the Lagrangian. The said equation (found through the calculus of variations) is ∂L/∂ mathbf q=d/dt∂L/∂ mathbf ̇q and its solution for mathbf q(t) represents the trajectory of a particle or object, and such trajectory should satisfy the principle of least action.

(mathematics) The equation that defines the Legendre polynomials: d/dx[(1-x²)d/dxP_n(x)]+n(n+1)P_n(x)=0.