cryptography, differential equations of addition (DEA) are one of the most basic equations related to differential cryptanalysis that mix additions over two...

the simplest differential equations are solvable by explicit formulas; however, many properties of solutions of a given differential equation may be determined...

for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their...

partial derivatives. A linear differential equation or a system of linear equations such that the associated homogeneous equations have constant coefficients...

Equations of Addition, ACISP 2005. Full version Souradyuti Paul and Bart Preneel, Near Optimal Algorithms for Solving Differential Equations of Addition With...

The differential analyser is a mechanical analogue computer designed to solve differential equations by integration, using wheel-and-disc mechanisms to...

In mathematics, delay differential equations (DDEs) are a type of differential equation in which the derivative of the unknown function at a certain time...

Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form...

cryptanalysis Linear cryptanalysis Differential equations of addition Biham E, Shamir A (1993). Differential cryptanalysis of the data encryption standard....

equations are special because they are nonlinear differential equations with known exact solutions. A notable special case of the Bernoulli equation is...

of mathematics. Fractional differential equations, also known as extraordinary differential equations, are a generalization of differential equations...

the Navier–Stokes equations are a set of partial differential equations derived from the conservation laws (i.e., conservation of mass, momentum, and...

mathematics, and especially differential geometry and gauge theory, the Yang–Mills equations are a system of partial differential equations for a connection on...

two kinds of equations: identities and conditional equations. An identity is true for all values of the variables. A conditional equation is only true...

of a system of two partial differential equations which form a necessary and sufficient condition for a complex function of a complex variable to be complex...

the integral equation. In addition, because one can convert between the two, differential equations in physics such as Maxwell's equations often have an...

In mathematics, an elliptic partial differential equation is a type of partial differential equation (PDE). In mathematical modeling, elliptic PDEs are...

The electromagnetic wave equation is a second-order partial differential equation that describes the propagation of electromagnetic waves through a medium...

specifically thermodynamics), the heat equation is a parabolic partial differential equation. The theory of the heat equation was first developed by Joseph Fourier...

A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself...

basis for the theory of D-modules, which provide applications to the theory of differential equations. In addition, generalisations of sheaves to more general...

following: a set of algebraic equations for steady-state problems; and a set of ordinary differential equations for transient problems. These equation sets are...

Lotka–Volterra equations, also known as the Lotka–Volterra predator–prey model, are a pair of first-order nonlinear differential equations, frequently used...

Souradyuti; Preneel, Bart (2004). "Solving Systems of Differential Equations of Addition and Cryptanalysis of the Helix Cipher". Cryptology ePrint Archive....

contributions to game theory, real algebraic geometry, differential geometry, and partial differential equations. Nash and fellow game theorists John Harsanyi...

comparison with vector wave equations, the scalar wave equation can be seen as a special case of the vector wave equations; in the Cartesian coordinate...

The Schrödinger equation is a partial differential equation that governs the wave function of a non-relativistic quantum-mechanical system.: 1–2  Its...

resultant generalized system of equations. There are fewer equations since one is not directly calculating the influence of the constraint on the particle...

the study of differential equations for connections on bundles, and the resulting geometric moduli spaces of solutions to these equations as well as...

differential equations and integral equations are functional equations. However, a more restricted meaning is often used, where a functional equation is an equation...