When the two are conjugate, the product is a posterior distribution, and by assumption, the normalization constant of this distribution is known.
12.
Although Gauss was the first to suggest the normal distribution law, integral } } in 1782, providing the normalization constant for the normal distribution.
13.
Where in the final expression, a compact notation is introduced : the normalization constant and labels for the fermion coordinates are understood only the wavefunctions are exhibited.
14.
Note also that the reason the integral is tractable is that it involves computing the normalization constant of a density defined by the product of a prior distribution and a likelihood.
15.
Upon convergence ( if convergence happened ), the estimated marginal distribution of each node is proportional to the product of all messages from adjoining factors ( missing the normalization constant ):
16.
Some programs ( such as MATLAB ) that design filters with real-valued coefficients use the Nyquist frequency ( \ textstyle f _ s / 2 ) as the normalization constant.
17.
Other forms of the normalization constant can be derived by using properties of the gamma function, while noting that " n " and " l " are both of the same parity.
18.
Where C, x _ 0, w _ 0, p _ 0 are constants ( a normalization constant, the center of the wavepacket, its width, and the expectation value of its momentum ).
19.
Where ? H0 is a normalization constant, ? N is the mean free path of electrons in the non-magnetic material, " d " 0 is effective thickness that includes interaction between layers.
20.
For example, it is not sufficient to construct a theory using regularization of loop integrals order-by-order and correspondingly redefining the masses, coupling constants, and field normalization constants also order-by-order.
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