The more familiar form of the equation came a few years later when he had further refined his thoughts in subsequent lectures and papers.
If no one can, what is left is the lowest form of the equation, which played out today: the Muslim Brotherhood, on the streets and at war with the military — one that, so far, has chosen the hardline route.
The form of the equation is such that the excess Gibbs energy is larger than zero; hence, the equation is not applicable to mixtures that have negative deviations from Raoult's law.
The linear form of the equation is given by Eq. (11).
The main idea behind the proposed approach is to solve the integrated form of the equation.
Generalized differential quadrature method is coupled with the weak form of the equation of motion.
A bordered matrix is proposed, that with block-algebra manipulations rebuilds the form of the equation given in the title.
The DSM computes synthetic seismograms by directly solving the Galerkin weak form of the equation of motion.
(39) The matrix form of the equation can be expressed as follows: Phi(x) = G varphi(x).
We also note that the convolution form of the equation allows the use of Fourier analysis to obtain this result.
In fact, the usual -harmonic equation is the particular form of the equation (1.1) when and satisfies (1.13).
