Localized differences between the real Sun and standard solar models are shown to be small. The sound speeds of the real and the standard model Suns typically differ by less than 0.3% for regions of radial width 30.1 RJ in the solar core. Subject headings: nuclear reactions, nucleosynthesis, abundances — Sun: interior — Sun: oscillations

a numerical relationship (Bode's Law). The visible stars, largely aggregated in a circumferential view as the " milky way," are a teeming multitude in various stages of evolution, self-luminous. They are suns, perhaps with non-luminous worlds rotating round them. The spectra of the stars comprise three groups : (i) Those in which hydrogen, helium, and magnesium are prominent, hydrogen predomina...

Apie Lauryno Peluričio disertaciją „Ola ir dvi saulės. Filosofija sovietų Lietuvoje (1944–1986). Institucijos, asmenybės, idėjos“ jos gynimą / On Laurynas Peluritis’ Thesis „The Cave and Two Suns. Philosophy in Soviet Lithuania Institutions, Personalities, Ideas“

Let H be a separable Hilbert space, let G ⊂ H, and let A be an operator on H. Under appropriate conditions on A andG, it is known that the set of iterations FG(A) = {Ag | g ∈ G, 0 ≤ j ≤ L(g)} is a frame for H. We call FG(A) a dynamical frame for H, and explore further its properties; in particular, we show that the canonical dual frame of FG(A) also has an iterative set structure. We explore th...

This paper presents a useful variation on the moving frame construction, which allows us to use a moving frame for a subgroup A of a Lie group G to produce a moving frame for the entire group G. This algorithm is applicable when G factors as a product of two subgroups G = A · B and automatically produces functional relations among invariants of G and its factors.

let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . in this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . as an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via the linear operator .

A cubic graph H is called a Kotzig graph if H has a circuit double cover consisting of three Hamilton circuits. It was first proved by Goddyn that if a cubic graph G contains a spanning subgraph H which is a subdivision of a Kotzig graph then G has a circuit double cover. A spanning subgraph H of a cubic graph G is called a Kotzig frame if the contracted graph G/H is even and every non-circuit ...

In this paper, we investigate the mapping of continuous g-frames in Hilbert C*-module under bounded operators. So, operators that preserve continuous g-frames in Hilbert C*-module were characterized. Then, we introduce equivalent continuous g-frames in Hilbert C*-module by the mapping of continuous g-frames in Hilbert C*-module under bounded operators. We show that every continuous g-frame in H...