Matrix Representation Of Linearly Dependent ProcessesFirst Page of the ArticleIto, H.Information Theory, 1991 (papers in summary form only received), Proceedings. 1991 IEEE International Symposium on (Cat. No.91CH3003-1)
Example 4.1.1 Determine if the following sets of functions are linearly dependent or linearly independent: (a) S = {2t, 4t}, (b) S = {et, e−2t}, (c) S={sin2t,5sintcost}, and (d) S = {t, 0}. Solution (a) Notice that 4t = 2 × 2t, so the functions are linearly ...
Determining value of r that makes the matrix linearly dependent for problem (a), all real numbers of value r will make the system linearly independent, as the system contains more vectors than entry simply by insepection. As for problem (b), no value of r can make the system linearly ...
The matrix D is structured, i.e., it is a function of the data. Its size and structure depend on the example and are specified later on. The observation that as diverse examples as E1–E5 lead to (1) motivates the statement that the low-rank property of a structured matrix constructed...
In this report, we investigate the structure of sequential state discrimination forNpure qudit states. WhenNpure states are linearly independent, a Gram matrix composed of pure states is positive-definite, which implies the existence of the inverse of the Gram matrix28. From the Gram matrix, the...
Photo-proton energy spectra resulting from this laser-assisted nuclear photoeffect are calculated within an S-matrix approach based on the strong-field approximation. We analyze the influence of the applied γ-ray energy, laser field polarization and nuclear isotope on the proton emission spectra. ...
7, the output laser after the filter can be expressed using Jones matrix as: $${\rm{A}}=[\begin{array}{cc}{\cos }^{2}\theta & \frac{1}{2}sin2\theta \\ \frac{1}{2}sin2\theta & {\sin }^{2}\theta \end{array}]\,[\begin{array}{cc}{e}^{-i{\rm{\Delta }}\phi }...
If A is a matrix then we denote its kth column by Ak•. Let µ > 0 be fixed, we make the following assumptions throughout: A1. There exists a probability density function p such that: P(x1, t, B, s; µ) = p(x1, t, y, s; µ)dy. B A2. n exp f (x) − ...
Vargas, H. 2005. “Exchange Rate Policy and Inflation Targeting in Colombia.” Working Paper No. 539, Research Department, Inter American Development Bank, Washington, DC.Search in Google Scholar Wooldridge, J. M. 1994. “Estimation and Inference for Dependent Processes.” InHandbook of Econometri...
dependent In this work, we consider the convergence of BDF2-LE in time and MFE in space for the viscoelastic fluid flow. The backward difference formula (BDF) class of multi-step schemes has been widely used as time integration method for both ordinary and partial differential equations, see ...