Quantum entanglement between the two $W$ bosons resulting from decay of a Higgs boson may be investigated in dilepton channel $H\ensuremath{\rightarrow}WW\ensuremath{\rightarrow}\ensuremath{\ell}\ensuremath{\nu}\ensuremath{\ell}\ensuremath{\nu}$ using laboratory-frame observables that only involve charged leptons $\ensuremath{\ell}=e$, $\ensuremath{\mu}$. The invariant mass distribution, alread...

Background: Six sigma is a process of quality measurement and improvement program used in industries. Sigma methodology can be applied wherever an outcome of a process is to be measured. A poor outcome is counted as an error or defect. This is quantified as defects per million (DPM). Six sigma provides a more quantitative frame work for evaluating process performance with evidence for process i...

In this paper we investigate encoding the bit-stream resulting from coarse Sigma-Delta quantization of finite frame expansions (i.e., overdetermined representations) of vectors. We show that for a wide range of finite-frames, including random frames and piecewise smooth frames, there exists a simple encoding algorithm —acting only on the Sigma-Delta bit stream— and an associated decoding algori...

Let $A$ be a Noetherian ring, $I$ be an ideal of $A$ and $sigma$ be a semi-prime operation, different from the identity map on the set of all ideals of $A$. Results of Essan proved that the sets of associated prime ideals of $sigma(I^n)$, which denoted by $Ass(A/sigma(I^n))$, stabilize to $A_{sigma}(I)$. We give some properties of the sets $S^{sigma}_{n}(I)=Ass(A/sigma(I^n))setminus A_{sigma}(I...

let $g$ be a simple graph‎, ‎and $g^{sigma}$‎ ‎be an oriented graph of $g$ with the orientation ‎$sigma$ and skew-adjacency matrix $s(g^{sigma})$‎. ‎the $k-$th skew spectral‎ ‎moment of $g^{sigma}$‎, ‎denoted by‎ ‎$t_k(g^{sigma})$‎, ‎is defined as $sum_{i=1}^{n}( ‎‎‎lambda_{i})^{k}$‎, ‎where $lambda_{1}‎, ‎lambda_{2},cdots‎, ‎lambda_{n}$ are the eigenvalues of $g^{sigma}$‎. ‎suppose‎ ‎$g^{sigma...

The largest fluctuation in the CMB sky is dipole, which believed to be caused by motion of our observation frame with respect rest frame. This accounts for known Solar System barycentre a best-fit amplitude $369$ km/s, direction ($\ell= 264^\circ$, $b=48^\circ$) galactic coordinates. Along dipole signal, this also causes an inevitable signature statistical anisotropy higher multipoles due modul...

We present the first joint analysis of catalogs radio galaxies and quasars to determine if their sky distribution is consistent with standard $\Lambda$CDM model cosmology. This based on cosmological principle, which asserts that universe statistically isotropic homogeneous large scales, so observed dipole anisotropy in cosmic microwave background (CMB) must be attributed our local peculiar moti...

"Non-Locality is most naturally incorporated into a theory in which there special frame of reference. One possible candidate for this reference the one Cosmic Microwave Background (CMB) isotropic. However, other than fact that realistic interpretation quantum mechanics requires preferred and CMB provides us with one, no readily apparent reason why two should be linked" (L. Hardy). Starting from...

This paper evaluates the potential for the real-time utilization of high frame rate image sequences using a fully parallel readout system. Multiple readout architectures for high frame rate imaging are compared. The application domain for a fully parallel readout system is identified, and the design for a fully parallel, monolithically integrated smart CMOS focal plane array is presented. This ...