Exact Differential Equation: A differential equation that can be written in the form M(t,y) dt + N(t,y) dy = 0 where M(t,y) dt+N(t,y) dy = (∂f/∂t)(t,y)dt+(∂f/∂y)(t,y)dy for some function z = f(t,y) is called an exact differential equation. ...
Mathematics.(of a differential equation) noting that the collection of all terms, equated to zero, is anexact differential. verb (used with object) to call for, demand, or require: to exact respect from one's children. to force or compel the payment, yielding, or performance of: ...
integro-differential equationdeep learningantiderivative transformationDerived from the Boltzmann equation, the neutron transport equation describes the motions and interactions of neutrons with nuclei in nuclear devices such as nuclear reactors. The collision or fission effect are described as integral terms ...
exact Exact exact differential exact differential equation exact division exact divisor exact functor exact science exact sequence exact solutions in general relativity 将“exact"翻译成中文 准确, 精密, 正確是“exact"到 中文 的最佳翻译。 译文示例:I want to know the exact position of ...
Therefore, Theorem 4.5 of Monderer and Shapley [43] is not respected for every n, −n∈N, meaning the game with PTC billing, a quadratic cost function, and energy variant loads is not potential. Gopalakrishnan et al. [46, Th. 1] prove that, in cost sharing games,c a potential ...
The nonlinear partial differential equation is an important tool in modern mathematics, such as KdV equation5: the Gross-Pitaevskii (GP) equation6,7,8: and the nonlinear Schrödinger (NLS) equation9: Among them, the NLS equation is widely used in the study of nonlinear optics, Bose-Einstein...
was equal to the gradient of the wave function, \(\partial _{\mu } \psi .\) He plugged this expression into the usual continuity equation for electric charge and obtained a differential equation for \(\psi ,\) which turned out to be simply the classical three-dimensional wave equation. ...
This work is dealing with the temperature reaction and response of skin tissue due to constant surface heat flux. The exact analytical solution has been obtained for the two-temperature dual-phase-lag (TTDPL) of bioheat transfer. We assumed that the skin
Unlike the open string version, Eq.(1.2) has a natural geometrical meaning. The boundary state, as suggested by its name, describes the boundary condition of the string world sheet. Suppose there exist two holes with the same type of boundary condition. If we merge these two holes by a cl...
4.1, where the velocity-dependent friction force caused the development of self-excited oscillations, a velocity-dependent aerodynamic force often results in unstable galloping vibrations. The system dynamics is described by the differential equation...