We developed a marker based infinitesimal model for quantitative trait analysis. In contrast to the classical infinitesimal model, we now have new information about the segregation of every individual locus of the entire genome. Under this new model, we propose that the genetic effect of an individual locus is a function of the genome location (a continuous quantity). The overall genetic value ...

The dynamic plastic buckling of a homogeneous and isotropic thin thermoviscoplastic cylindrical shell loaded radially is studied analytically by analyzing the stability of its stressed/deformed configuration under superimposed infinitesimal perturbations. The wave number of the perturbation that maximizes its initial growth rate is assumed to determine the buckling mode. Cubic algebraic equatio...

Given an infinitesimal perturbation of a discrete-time finite Markov chain, we seek the states that are stable despite the perturbation, i.e. the states whose weights in the stationary distributions can be bounded away from 0 as the noise fades away. Chemists, economists, and computer scientists have been studying irreducible perturbations built with exponential maps. Under these assumptions, Y...

Abstract It has been revealed that the first-order symmetry operator for linearized Einstein equation on a vacuum spacetime can be constructed from Killing–Yano 3-form. This might used to construct all or part of solutions field equation. In this paper, we perform mode decomposition metric perturbation Schwarzschild and Myers–Perry with equal angular momenta in 5 dimensions, investigate action ...

A self-consistent , non-perturbative scheme of approximation is proposed for arbitrary interacting quantum systems by generalization of the Hartree method.The scheme consists in approximating the original interaction term λHI by a suitable ’potential’ λV (φ) which satisfies the following two requirements: (i) the ’Hartree Hamiltonian’ Ho generated by V (φ) is exactly solvable i.e, the eigen sta...

An infinitesimal theory for bending and earthquaking in onedimensional dynamics is developed. It is shown that any tangent vector to Teichmuller space is the initial data for a bending and for an earthquaking ordinary differential equation. The discussion involves an analysis of infinitesimal bendings and earthquakes, the Hilbert transform, natural bounded linear operators from a Banach space o...

In this paper we study the infinitesimal-time case of the so called multilinear constraints that exist for each subsequence in a sequence of images. These constraints link the infinitesimal motion of the image points with the infinitesimal viewer motion. The analysis is done both for calibrated and uncalibrated cameras. Two simplifications are also presented for the uncalibrated camera case. On...

Perturbation analysis (PA) is a sample path technique for analyzing changes in the performance of stochastic systems due to changes in system parameters. In terms of stochastic simulation | the main setting for the application of PA | the objective is to estimate sensitivities of the performance measures of interest with respect to system parameters while obtaining estimates of performance itse...

The theorem prover Isabelle is used to formalise and reproduce some of the styles of reasoning used by Newton in his Principia. The Principia’s reasoning is resolutely geometric in nature but contains “infinitesimal” elements and the presence of motion that take it beyond the traditional boundaries of Euclidean Geometry. These present difficulties that prevent Newton’s proofs from being mechani...