Exact differential equation is a type of differential equation there exists a function of two variables with continuous partial derivatives with integrating factor.
capable of the greatest precision: exact instruments. characterized by or using strict accuracy: an exact thinker. Synonyms:scrupulous,demanding,punctilious,careful,methodical Mathematics.(of a differential equation) noting that the collection of all terms, equated to zero, is anexact differential. ...
From the definition of exact equations and the examples we’ve shown you, let’s establish a rule for testing exact differential equations:TEST FOR EXACT EQUATIONS Suppose that there exist continuous partial derivatives for P(x,y) and Q(x,y), we can use the condition shown below, ∂P∂...
It is shown how the properties of the one-particle Green's function lead naturally to the definition of the so-called natural energy orbitals. These orbitals allow the fully correlated total energy of a system to be written in Hartree–F... LJ Holleboom,JG Snijders,EJ Baerends - 《Internat...
Exact differential equation for the density and ionization energy of a many-particle system. Phys. Rev. A 30, 2745–2748 (1984). 52. Russier, V. Extensions of the density-functional theory (DFT) to systems with a fractional number of electrons: Consequences for the meaning of the DFT ...
Looking for online definition of exact mass in the Medical Dictionary? exact mass explanation free. What is exact mass? Meaning of exact mass medical term. What does exact mass mean?
By definition (see (12) and (30)), uI satisfies the differential equations and continuity conditions in (31). By Lemma 4.2, uE = uE − f solves (27) with u = (uI |∂Ω−) − f |∂Ω+. By (28), then, we have (σE|∂Ω+) · nΩ = ΛE(u) = ΛE((...
Using the definition of derivative (3.9) along the characteristic directiondxdt=a, thedifferential equation (3.1) can be rewritten asdudt∣∣∣∣dxdt=a=f(u), u(0) =u0, u0={u0,06x6l, t= 0,μ1, x= 0, t >0,(3.11)while the corresponding exact difference scheme (3.3) under ...
The term "variational inverse boundary-value problem" is used to designate a class of two-dimensional boundary-value problems with unknown boundaries, in which it is required to find both the solution of a partial differential equation and its domain of definition, where the latter satisfies some...
Taking the results of this paper we introduce the definition of unnecessary exact solutions for the nonlinear ordinary differential equations.doi:doi:http://dx.doi.org/Kudryashov, Nikolay A