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of arithmetic but with non-numerical mathematical objects. However, until the 19th century, algebra consisted essentially of the theory of equations....

In algebra, the theory of equations is the study of algebraic equations (also called "polynomial equations"), which are equations defined by a polynomial...

20 equations into the 4 recognizable ones which modern physicists use. Maxwell's equations also inspired Albert Einstein in developing the theory of special...

threads. There are three historical roots of group theory: the theory of algebraic equations, number theory and geometry. Joseph Louis Lagrange, Niels...

difference equations. When differential equations are employed, the theory is called continuous dynamical systems. From a physical point of view, continuous...

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

The history of the Big Bang theory began with the Big Bang's development from observations and theoretical considerations. Much of the theoretical work...

relativity is a theory of gravitation whose defining feature is its use of the Einstein field equations. The solutions of the field equations are metric tensors...

interpretation of in a prototypical string theory, a possible model of quantum gravity and potential theory of everything. Einstein's field equations include...

theory of relativity, the Einstein field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution of matter...

study of the solutions in an algebraically closed field of multivariate polynomial equations. Two equations are equivalent if they have the same set of solutions...

Originally, the theory had been developed for algebraic equations whose coefficients are rational numbers. It extends naturally to equations with coefficients...

Linear differential equations are the differential equations that are linear in the unknown function and its derivatives. Their theory is well developed...

Atomic theory is the scientific theory that matter is composed of particles called atoms. The definition of the word "atom" has changed over the years...

low energy limit of the Dirac theory in the following manner. First the equation is written in the form of coupled equations for 2-spinors with the SI units...

modelling dispersive interactions in an equation of state. There is a large number of perturbation theory based equations of state available today, e.g. for the...

The history of electromagnetic theory begins with ancient measures to understand atmospheric electricity, in particular lightning. People then had little...

throughout history, the formulation of general theories of Diophantine equations (beyond the case of linear and quadratic equations) was an achievement of the...

the theory of differential equations. On the model of Galois theory and polynomial equations, the driving conception was of a theory capable of unifying...

of differential equations with 20 equations in 20 variables, contained in A Dynamical Theory of the Electromagnetic Field. (See Maxwell's equations.)...