The target space M for the sigma-model appearing in theories with p-branes is considered. It is proved that M is a homogeneous space G/H. It is symmetric if and only if the U-vectors governing the sigma-model metric are either coinciding or mutually orthogonal. For nonzero noncoinciding U-vectors the Killing equations are solved. Using a block-orthogonal decomposition of the set of the U-vector...

Motivated by the recent direct detection of cosmological gas infall, we develop an analytical model for calculating the mean density profile around an initial overdensity that later forms a dark matter halo. We account for the problem of peaks within peaks; when considering a halo of a given mass we ensure that this halo is not a part of a larger virialized halo. For halos that represent high-s...

The ternary complex factor (TCF) subfamily of ETS-domain transcription factors form ternary complexes with the serum response factor (SRF) and the c-fos SRE. Extracellular signals are relayed via MAP kinase signal transduction pathways through the TCF component of the ternary complex. Protein-protein interactions between TCFs and SRF play an essential role in formation of this ternary complex. ...

The target space M for the sigma-model appearing in theories with p-branes is considered. It is proved that M is a homogeneous space G/H . It is symmetric if and only if the U -vectors governing the sigma-model metric are either coinciding or mutually orthogonal. For nonzero noncoinciding U -vectors the Killing equations are solved. Using a block-orthogonal decomposition of the set of the U -ve...

in this paper we introduce the concept of weakly prime ternary subsemimodules of a ternary semimodule over a ternary semiring and obtain some characterizations of weakly prime ternary subsemimodules. we prove that if $n$ is a weakly prime subtractive ternary subsemimodule of a ternary $r$-semimodule $m$, then either $n$ is a prime ternary subsemimodule or $(n : m)(n : m)n = 0$. if $n$ is a $q$-...

Lie algebras endowed with an action by automorphisms of any of the symmetric groups S3 or S4 are considered, and their decomposition into a direct sum of irreducible modules for the given action is studied. In case of S3-symmetry, the Lie algebras are coordinatized by some nonassociative systems, which are termed generalized Malcev algebras, as they extend the classical Malcev algebras. These s...

We generalize Cartan's logarithmic derivative of a smooth map from manifold into Lie group $G$ to maps homogeneous space $M=G/H$, and determine the global monodromy obstruction reconstructing such infinitesimal data. The embedding submanifold $\Sigma \subset M$ becomes an invariant $ under symmetries "Klein geometry" $M$ whose analysis is taken up in [SIGMA 14 (2018), 062, 36 pages, arXiv:1703....

New experimental solubilities and tie line data for ternary mixtures containing two completely miscible binaries and one nonmiscible binary as part of a program to determine the thermodynamic properties of a series of ternary and binary systems with HMDS [1–3] are given. Hexamethyldisiloxane 99.5%, NMR grade, 2-butanone 99.5%, HPLC grade (MEK), 3-pentanone 99% (DEK) and dimethyl sulfoxide 99.9%...