dependent equationの例文

• In the time-dependent equation, complex conjugate waves move in opposite directions.
• Pressure is used to compute the pressure gradient force in the time-dependent equation for the winds.
• These exceptions can occur only when the overdetermined system contains enough linearly dependent equations that the number of independent equations does not exceed the number of unknowns.
• :Given a solution of the time dependent equation, you can extract the energy eigenvalues and eigenfunctions by performing a Fourier transform w . r . t . time.
• This case describes the standing wave solutions of the time-dependent equation, which are the states with definite energy ( instead of a probability distribution of different energies ).
• Substituting for into the Schr鰀inger equation for the relevant number of particles in the relevant number of dimensions, solving by separation of variables implies the general solution of the time-dependent equation has the form:
• There will be an infinitude of other solutions only when the system of equations has enough dependencies ( linearly dependent equations ) that the number of independent equations is at most " N " & minus; 1.
• Furthermore, the matrix may be singular for dependent equations, the inversion can be unstable in the presence of noise and the system may be under-constrained if parameters other than the primary variables inverted for, are desired.
• In modern " numerical weather forecasting models " and general circulation models ( GCM's ), vorticity may be one of the predicted variables, in which case the corresponding time-dependent equation is a prognostic equation.
• Since Navier-- Stokes equations for fluid motion are well known to be frame-dependent, it might first seem counterintuitive to require frame-invariance for LCSs, which are composed of solutions of these frame-dependent equations.