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The BCH encoder produces syndromes of (mostly) M bits and each of them may be produced with l division steps with an M degree polynomial.
40623_2017_640_MOESM1_ESM.pdf Additional file 1. AIC as a function of n (degree of polynomial function) and m (degree of trigonometric functions) (see text) for the position time series at site 0437, whose location is shown in Fig. 1b.
We denote by f m ( x, ξ ) an homogeneous polynomial of degree m with respect to ξ, induced by the symmetric tensor field f on ( M, g ) of m degree: f m ( x, ξ ) = f i 1... i m x ξ i 1... ξ i m.
It is apparent from these figures that n, the nonlinearity of the positive feedback, is responsible for the existence of the oscillations, while m relates to the extension of the parameter space leading to these oscillations: the higher the m (degree of repressor's multimerization), the wider the oscillatory region.
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The computation was executed on a standard laptop; it involved 1.6 M degrees of freedom and required 100 s for the pre-computation, and 0.3 s for the actual solve.
Note that if the number of degree-2 symbol nodes of the Tanner graph of H is larger than or equal to n - m, any combination of n - m degree-2 columns forms cycles.
In general, for M degrees of freedom, the Chi-p distribution is given by Eq. (10).
In general, the Chi-square distribution in Eq. (5) is referred to M degrees of freedom.
(mathcal {CN}), Exp, and (chi ^{2}_{m}) specify the circular symmetric complex Gaussian distribution, the exponential distribution and the chi-squared distribution with m degrees of freedom, respectively.
The many interests in (1.1) may stem from the fact that boundary value problems of type (1.1) model various dynamic systems with m degrees of freedom in which m states are observed at m times; see Meyer [1].
Note that, in essence, only M data elements are transmitted per OFDM symbol in the available frequency band, reserving N − M degrees of freedom for shaping the spectrum of the transmitted signal.
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