Sentence examples for matrix of differential from inspiring English sources

The natural frequencies are the eigenvalues of a matrix of differential operators.

Further support to the relevance of the gene expression signature we had identified came from the observation that the two dimensional cluster analyses performed using the matrix of differential gene expression profiles (average expression for each group), recapitulated the expected relationship between the different stages in the development of prostate cancer (Figure 5A).

From a matrix of differential frequencies, we selected the top 100 functional events with the highest average absolute differences.

The general FE formulations [ 18] are used to obtain the stiffness matrix, K, such as (4) K = ∑ e ∫ V e B T · D · B d V, where e is the number of elements, V e is a typical volume element, B is the strain-displacement matrix, and D is the matrix of differential operators that convert displacement to strain.

The dominant cost for integration factor (IF) or exponential time differencing (ETD) methods is the repeated vector matrix multiplications involving exponentials of discretization matrices of differential operators.

The particular moments of the second order satisfy the matrix system of differential equations (19) which we get in the same way.

While the time-scale of metabolites, at which they evolve, can be gleaned by analyzing several time-courses under different conditions, a more systemic picture can be obtained through eigenvalue and eigenvector analysis of the Jacobian matrix of ordinary differential equations at the steady-state conditions.

Our data matrix D, consists of differential absorption measured as a function of two variables: the wavelength of the probe beam and the time delay between the pump and the probe pulses.

This is expressed in terms of the corresponding fundamental matrix, whose expression is related to the fundamental matrices of the differential equations governing the modal responses.

We show that the known traffic rules for eigenvalues of the monodromy matrix of linear Hamiltonian differential and difference systems can be extended also to discrete symplectic systems.

An exact solution of the model is derived by means of orthogonal transformation, methods of images and the theory of matrix differential equations.