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However, an analytical expression to which the MSE of the optimal PQ converges as the quantizer rate R grows can be found noting the fact that, as R→∞ (that is, as the size of the maximum quantization interval approaches zero), the closed-loop prediction error for a Gaussian source is also Gaussian and therefore the quantizer MSE approaches the Gish-Pierce asymptotic [14].

Therefore, the statistical expression to which the regional power spectrum of a spherical cap centred at lat and having a half-angle of θ 0 can be compared with, is written as E^{R-SCHA}=frac{pi}{theta_{0}}frac{1}{F_{latitude}}(n+1)left[mu_{0} MF_{n} epsilon)right]^{2}n^{-gamma}C_{n}, (19).

Under the proposed guidelines, a transgender student's parent or guardian would have to affirm the "consistent gender identity and the expression to which the student self-relates".

In the SMRI brain expression microarray data set, batch effects accounted for nearly 50% of the observed variation in expression, to which site effects contributed 42% and date effects 7.3%.

For example, in RIAS, an utterance is the smallest unit of expression to which a code can be assigned.

The data were generated by simulating from a thermodynamic model for gene expression to which Gaussian noise was added.

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Similar(52)

It uses a side-effect free subset of Java's expressions to which are added a few mathematical operators (such as the quantifiers ⧹forall and ⧹exists).

Table 1 shows the expressions to which d2′ and (text {min}left {d_{2}^{mathsf {max}}, d_{mathsf {sum}}^{mathsf {max}} - d_{1}^{mathsf {max}}right }) both simplify in each of the four possible cases.

Because fractions are the first numbers that are relational expressions to which students are exposed, we investigated how understanding the relational bipartite format (a/b) of fractions might connect to later algebra performance.

But that argument offers us no answers to the knotty question of freedom of expression, an idea to which we all think we subscribe.

Following World War II and the creation of the United Nations, the UDHR represented "the first global expression of rights to which all human beings are inherently entitled".

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