We study a recently introduced two-person combinatorial game, the (a,b)-monochromatic clique transversal game which is played by Alice and Bob on graph G. As we observe, this equivalent to (b,a)-biased Maker–Breaker clique-hypergraph of Our main results concern threshold bias a1(G) that smallest integer such can win in (a,1)-monochromatic G if she first play. Among other results, determine poss...

For given positive integers a1,a2,⋯,ak with gcd(a1,a2,⋯,ak)=1, the denumerant d(n)=d(n;a1,a2,⋯,ak) is number of nonnegative solutions (x1,x2,⋯,xk) linear equation a1x1+a2x2+⋯+akxk=n for a integer n. p, let Sp=Sp(a1,a2,⋯,ak) be set all n’s such that d(n)>p. In this paper, by introducing p-numerical semigroup, where N0\Sp finite, we give explicit formulas p-Frobenius number, which maximum N0\S...

background: women with polycystic ovary syndrome have lower pregnancy rates, possibly due to the decreased uterine  receptivity.successful implantation depends on protein networks that are essential for cross-talk between the embryo and endometrium.apolipoprotein a1 has been proposed as a putative anti-implantation factor. in this study, we evaluated apolipoprotein a1 expression in human endome...

The purpose of this article is to report that some anti-A1 react at 37°C are IgG antibodies and clinically significant, as they can cause the destruction a proportion A1 cells in vivo following transfusion red blood cells. Therefore, when serum an individual contains anti-A1, further testing plasma against group A1, A2, O by referencing lectin (Dolichos biflorus lectin) must be performed. Confi...

We study the connection between STFT multipliers A1⊗mg1,g2 having windows g1,g2, symbols a(x,ω)=(1⊗m)(x,ω)=m(ω), (x,ω)∈R2d, and Fourier Tm2 with symbol m2 on Rd. find sufficient necessary conditions m,m2 g1,g2 for equality Tm2=A1⊗mg1,g2. For m=m2 former holds only particular choices of window functions in modulation spaces, whereas it never occurs realm Lebesgue spaces. In general, multiplier A...

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