In general, the normalization factor can be difficult or impossible to compute, so the dimensionless quantities can be more useful in applications.
12.
That is, we model the logarithm of the probability of seeing a given output using the linear predictor as well as an additional normalization factor:
13.
The natural parameters of the distribution are the Lagrange multipliers, and the normalization factor is the Lagrange multiplier associated to " T " 0.
14.
An example for the latter is when the set-point, bias, or normalization factor for a data-driven approach is given by models.
15.
This is also ( up to a constant which depends on the normalization factors chosen in the definitions employed ) the variance of the data comprising the signal.
16.
The factor } } is a normalization factor that will come handy later, the field is a solution of the homogeneous equation associated with the equation of motion:
17.
It should be noted that workers in the fields of geodesy, geomagnetism and spectral analysis use a different phase and normalization factor than given here ( see spherical harmonics ).
18.
In other words, the expected value of the uncorrected sample variance does not equal the population variance " ? " 2, unless multiplied by a normalization factor.
19.
The only requirements of these conventions are that the DFT and IDFT have opposite-sign exponents and that the product of their normalization factors be 1 / " N ".
20.
The normalization factor multiplying the DFT and IDFT ( here 1 and 1 / " N " ) and the signs of the exponents are merely conventions, and differ in some treatments.
