Gradient Flow Exact Renormalization Group (GFERG) is a framework to define the Wilson action via gradient flow equation. We study fixed point structure of GFERG equation associated with general for scalar field theories and show that it same as conventional Wilson-Polchinski (WP) in general. Furthermore, we discuss has similar RG around WP illustrate these results $O(N)$ non-linear sigma model ...

in this paper, a new combined power and refrigeration cycle is proposed, which combines the rankin power cycle and the ejector refrigeration cycle. this combined cycle produces both power output and refrigeration output simultaneously. this cycle is driven by the flue gas of gas turbines, industrial waste heats, solar energy and geothermal energy. an exergy analysis is performed to guide the th...

We present results of quenched SU(3) hadron spectroscopy comparing O(a) improved Wilson (Clover) fermions with conventional Wilson fermions. The configurations were generated using an O(a) improved 6-link SU(3) pure gauge action at β’s corresponding to lattice spacings of 0.15, 0.18, 0.20, 0.33, and 0.43 fm. We find evidence that fermionic scaling violations are consistent with O(a) for Clover ...

We investigate the spectral properties of the Wilson Dirac operator in quenched QCD in the microscopic regime. We distinguish the topological sectors using the index as determined by the Wilson flow method. Consequently, the distributions of the low-lying eigenvalues of the Wilson Dirac operator can be compared in each of the topological sectors to predictions from random matrix theory applied ...

Allan C. Wilson studied genes [5], proteins, and body structures of animals and humans [6] in the US during the second half of the twentieth century. Wilson also studied human evolution [7] . Although morphology [8] and behaviors of humans [6] (Homo sapiens [9]) and great apes differ, Wilson found that they have biochemical and genetic similarities. Wilson and his colleagues calculated the time...

Two unitary integral transforms with a very-well poised 7F6-function as a kernel are given. For both integral transforms the inverse is the same as the original transform after an involution on the parameters. The 7F6-function involved can be considered as a non-polynomial extension of the Wilson polynomial, and is therefore called a Wilson function. The two integral transforms are called a Wil...

Mowat-Wilson syndrome (MWS) is a multiple congenital anomaly syndrome characterized by a distinct facial phenotype (high forehead, frontal bossing, large eyebrows, medially flaring and sparse in the middle part, hypertelorism, deep set but large eyes, large and uplifted ear lobes, with a central depression, saddle nose with prominent rounded nasal tip, prominent columella, open mouth, with M-sh...

The presence of possible correlations between stellar rotation rate $\Omega$ and the frequency activity cycle $\omega_\mathrm{cyc}$ is still much debated. We implement a new Bayesian classification algorithm based on simultaneous regression analysis multiple scaling laws we demonstrate existence two different scalings in $\log_{10} \omega_\mathrm{cyc}$ -- \Omega$ plane for an extended Mt.~Wilso...

Abstract The polar precursor method is widely considered to be the most robust physically motivated predict amplitude of an upcoming solar cycle. It uses indicators magnetic field concentrated near poles around sunspot minimum. Here, we present extensive analysis performance various such predictors, based on both observational data (Wilcox Solar Observatory (WSO) magnetograms, Mount Wilson facu...

We give a general expansion formula of functions in the Askey–Wilson polynomials and using the Askey–Wilson orthogonality we evaluate several integrals. Moreover we give a general expansion formula of functions in polynomials of Askey–Wilson type, which are not necessarily orthogonal. Limiting cases give expansions in little and big q-Jacobi type polynomials. We also give a new generating funct...