In this paper, by considering the notion of $Sigma$-hyperalgebras for an arbitrary signature $Sigma$, we study the notions of regular and strongly regular relations on a $Sigma$-hyperalgebra, $mathfrak{A}$. We show that each regular relation which contains a strongly regular relation is a strongly regular relation. Then we concentrate on the connection between the fundamental relation of $mathf...

This paper is a continuation of [Uniformities and covering properties for partial frames (I)], in which we make use of the notion of a partial frame, which is a meet-semilattice in which certain designated subsets are required to have joins, and finite meets distribute over these. After presenting there our axiomatization of partial frames, which we call $sels$-frames, we added structure, in th...

a generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by m. h. faroughi and r. ahmadi, is presented in this study. continuous resolution of the identity (cri) is introduced, a new family of cri is constructed, and a number of reconstruction formulas are obtained. also, new results are given on the duality of continuous fusion fram...

We demonstrate the coherent creation of a single NaCs molecule in its rotational, vibrational, and electronic (rovibronic) ground state an optical tweezer. Starting with weakly bound Feshbach molecule, we locate two-photon transition via $|{c^3\Sigma,v'=26}\rangle$ excited drive Rabi oscillations between hyperfine level rovibronic $|{X^1\Sigma,v''=0,N''=0}\rangle$ binding energy $D_0 = h \times...

As one of the most energetic and brightest events, gamma-ray bursts (GRBs) can be treated as a promising probe high-redshift universe. Similar to type Ia supernovae (SNe Ia), GRBs with same physical origin could standard candles. We select GRB samples origin, which are divided into two groups. One group is consisted 31 plateau phase feature constant luminosity followed by decay index about -2 i...

We construct a multiscale tight frame based on an arbitrary orthonormal basis for the L2 space of an arbitrary sigma finite measure space. The approximation properties of the resulting multiscale are studied in the context of Besov approximation spaces, which are characterized both in terms of suitable K–functionals and the frame transforms. The only major condition required is the uniform boun...

given a graph $g$, let $g^sigma$ be an oriented graph of $g$ with the orientation $sigma$ and skew-adjacency matrix $s(g^sigma)$. then the spectrum of $s(g^sigma)$ consisting of all the eigenvalues of $s(g^sigma)$ is called the skew-spectrum of $g^sigma$, denoted by $sp(g^sigma)$. the skew energy of the oriented graph $g^sigma$, denoted by $mathcal{e}_s(g^sigma)$, is defined as the sum of the n...

Mutations within the -12 and -24 elements provide evidence that the act promoter is recognized by sigma-54 RNA polymerase. Deletion of the -20 base pair, which lies between the two conserved elements of sigma-54 promoters, decreased expression by 90%. In addition, mutation of a potential enhancer sequence, around -120, led to an 80% reduction in act gene expression. actB, the second gene in the...

This report desoribes the complete nudeotide sequence of human reovirus (Dearing strain) genome segment S3. Previous studies indicated that this RNA encodes the major non-structural viral polypeptlde sigma NS, a protein that binds ssRNAs (Huisman 4 Joklik, Virology 70, 411-421, 1976) and has a poly(C)dependent poly(G) polymerase aotivity (Gomatos e_t al., J. Virol. 2£, 115-124, 1981). The genom...