We analyse the covariance of the one-dimensional mass power spectrum along lines of sight. The covariance reveals the correlation between different modes of fluctuations in the cosmic density field and gives the sample variance error for measurements of the mass power spectrum. For Gaussian random fields, the covariance matrix is diagonal. As expected, the variance of the measured one-dimension...

‎A universal schema for diagonalization was popularized by N.S‎. ‎Yanofsky (2003)‎, ‎based on a pioneering work of F.W‎. ‎Lawvere (1969)‎, ‎in which the existence of a (diagonolized-out and contradictory) object implies the existence of a fixed-point for a certain function‎. ‎It was shown that many self-referential paradoxes and diagonally proved theorems can fit in that schema‎. ‎Here‎, ‎we fi...

The growth of a population divided among spatial sites, with migration between the sites, is sometimes modelled by a product of random matrices, with each diagonal elements representing the growth rate in a given time period, and off-diagonal elements the migration rate. If the sites are reinterpreted as age classes, the same model may apply to a single population with age-dependent mortality a...

We propose an efficient quantum algorithm for simulating the dynamics of general Hamiltonian systems. Our technique is based on a power series expansion time-evolution operator in its off-diagonal terms. The decouples due to diagonal component from generated by part, which we encode using linear combination unitaries technique. method has optimal dependence desired precision and, as illustrate,...

Systems of linear differential equations with constant coefficients, as well as Lotka–Volterra equations, with delays in the off–diagonal terms are considered. Such systems are shown to be asymptotically stable for any choice of delays if and only if the matrix has a negative weakly dominant diagonal.

buildings with wall or frame-wall systems are more effective against earthquake forces and sustain less damage than buildings which their lateral resistance is solely depends on frames. four reinforced concrete (rc) structural wall specimens were subjected to cyclic loading using finite elements method with abaqus software in order to study influence of diagonal web reinforcement. the research ...

The diagonal of a multivariate power series F is the univariate power series Diag F generated by the diagonal terms of F . Diagonals form an important class of power series; they occur frequently in number theory, theoretical physics and enumerative combinatorics. We study algorithmic questions related to diagonals in the case where F is the Taylor expansion of a bivariate rational function. It...

Recently, a very interesting behavior of crosstalk (XT) between diagonal cores (diagonal XT) in square-layout uncoupled four-core fiber (UC-4CF) that grows quadratically with length has been reported. In this paper, the intercore XT UC-4CFs is investigated on basis coupled-power theory. To make it easy to understand physical mechanism behavior, we derive an approximate solution equations. We sh...