In a recent paper,1 T. Szele proved that a division ring D is orderable if and only if the additive and multiplicative semigroup 5 generated by the nonzero squares of elements of D does not contain the zero element of D. The present paper extends this result to a domain of integrity K. Let us denote by K* the set of nonzero elements of K. The domain of integrity K is said to be orderable if and...

We prove that any rigid additive symmetric monoidal category can be mapped to a abelian in universal way. This yields novel approach Grothendieck's standard conjecture D and Voevodsky's smash nilpotence conjecture.

In this paper, we study the class of relatively D-stable matrices and provide sufficient conditions for relative D-stability. We generalize well-known Hadamard inequality, to upper bounds determinants additive matrices. For some classes matrices, estimate sector gap between matrix spectra imaginary axis. apply developed technique obtain e.g. diagonally stable, dominant with Q2-scalings.

We compute the matching conditions between lattice and continuum 3-D SU(N) Higgs theories, with both adjoint and fundamental scalars, at O(a), except for additive corrections to masses and φ insertions. PACS numbers: 11.15.Ha, 11.15.Kc

The effects of androgens and the androgen antagonist, flutamide, on the density of dendritic spine synapses in the CA1 subfield of the hippocampus were studied in gonadectomized male and female rats. Treatment of orchidectomized male rats with dehydroepiandrosterone (DHEA; 2 d, 1 mg/d sc) increased the density of CA1 spine synapses observed 2 d later, by 106%, without significantly affecting ve...

Reconstructing phylogenetic trees using the criterion of minimum evolution requires the use of a formula FT (d) that estimates the total length of a tree T given only the estimated distances d between the leaves of the tree. Let U(T ) be the collection of linear formulas FT (d) that correctly estimate the total length of T whenever d is an additive distance function on T . The current paper cha...

We study Padé interpolation problems on an additive grid, related to difference (d-) Painlevé equations of type $$E_7^{(1)}$$ , $$E_6^{(1)}$$ $$D_4^{(1)}$$ and $$A_3^{(1)}$$ . By choosing suitable problems, we can derive time evolution equations, scalar Lax pairs contiguous determinant formulae special solutions given in terms hypergeometric functions, for the corresponding d-Painlevé equations.

Four Holstein heifers (360 +/- 22 and 450 +/- 28 kg of BW in Exp. 1 and 2, respectively) fitted with ruminal trocars were used in 4 x 4 Latin square designs to evaluate the effects on ruminal microbial fermentation of the following: Exp. 1, no additive, alfalfa extract (30 g/d, AEX), a mixture of cinnamaldehyde (0.18 g/d) and eugenol (0.09 g/d; CIE1), and AEX and CIE1 in combination; and Exp. 2...