A new class of wax ester has been isolated from the needle cuticular wax of Picea abies. Identification of 2-methyl-but-1-en-4-yl triacontanoate, -dotriacontanoate, -tetratriacontanoate and -hexatriacontanoate was carried out by gas chromatography, mass spectroscopy, 1H NMR and chemcial studies.
Let k be a positive integer with k⩾2k⩾2; let h(≢0)h(≢0) be a holomorphic function which has no simple zeros in D ; and let FF be a family of meromorphic functions defined in D , all of whose poles are multiple, and all of whose zeros have multiplicity at least k+1k+1. If, for each function f∈Ff∈F, f(k)(z)≠h(z)f(k)(z)≠h(z), then FF is normal in D.
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that a maximal curve over Fq2Fq2 given by an equation A(X)=F(Y)A(X)=F(Y), where A(X)∈Fq2[X]A(X)∈Fq2[X] is additive and separable and where F(Y)∈Fq2[Y]F(Y)∈Fq2[Y] has degree mm prime to the characteristic pp, is such that all roots of A(X)A(X) belong to Fq2Fq2. In the particular case where F(Y)=YmF(Y)=Ym, we show that the degree mm is a divisor of q+1q+1.
Trimmed U -statistics can be constructed in two different ways: by basing the statistic on a trimmed sample or by averaging the trimmed set of kernel values. Mild conditions are given to ensure the rate of convergence to normality is Nike Free Shoes Women
O(n-1/2)O(n-1/2) in both cases.