Multiphase particle-in-cell method: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
← Older edit
Typo -- Eularian changed to Eulerian
en>Wavelength
inserting 1 hyphen: —> "three-dimensional"—wikt:three-dimensional
 
Line 1: Line 1:
'''Belevitch's theorem''' is a theorem in electrical network analysis due to the Russo-Belgian mathematician [[Vitold Belevitch]] (1921–1999). The theorem provides a test for a given [[scattering parameters|S-matrix]] to determine whether or not it can be constructed as a lossless rational [[two-port network]].
What is the finest to method hold data safe? Does your organization use tape-to-tape knowledge protection, disk-to-tape protection, mirroring a picture to recover data, or a Raid system? Companies, big to small, want data recovery instruments and a disaster knowledge recovery plan to protect their data. Ought to companies buy their very own software to protect delicate knowledge? A few of the data programs used to guard data and stop data loss. Why buying into third-social gathering protection software program isn't at all times as useful because it seems.<br><br>What should you really contemplate with that third-occasion software program that's purported to be protecting company knowledge? It might be wise to take a look at the number of computers needing protection. When you've got greater than 50 computer systems on the corporate's community, third-get together encryption software program could also be a great choice. Some third-party software might not let IT groups combine into an lively directory. There are other encryption software programs obtainable, nevertheless, not all supply the identical choices to business heads or IT teams. Another limitation of knowledge encryption software program is that a number of the third-occasion software program is that some of the software is less complicated to break into than others. It could be straightforward to suppose your company doesn't need encryption software to guard each laptop in the network. Nonetheless, if a hacker easily positive aspects entry right into a community, it will probably price an organization priceless data.<br><br>Retrieve knowledge using Images<br><br>Many occasions, information might be retrieved by way of using screen images. It is a method to make sure an organization doesn't lose beneficial data wanted for every day operations or to guard clients' banking information. Saving pictures is helpful in event that, information corruption has not made the drive with the pictures unsafe and missing data, WAV, RAF, CRW, K25, NEF, and ORF files in cameras are retrievable. However, camera recordsdata aren't the one recordsdata that can be saved. Audio files, comparable to WAV, M4P, MIDI and WMA are additionally found.<br><br>Laptop users can again up some sensitive data using images. Do you know that by utilizing pictures, an organization computer may be able to be restored following an influence surge or outage? No sensitive data is lost. Digital memory playing cards from cameras must be handled gingerly, as a way to lose invaluable data by means of fingerprints. Nevertheless, no over-the-counter [http://trickdatarecovery.com/2014/10/17/data-recovery/ data recovery] has successful charge of 100 percent entirely. Hiring a professional can ensure essentially the most knowledge is recovered from unhealthy drives or accidental worker erasures.<br><br>Have you ever ever saved money utilizing knowledge restoration tools? At Leeds Knowledge Restoration, we additionally provide our 15 years of experience in many other information restoration providers in order that your documents stored on Raid arrays and your sensitive data, and extra is safe. We may help you get better lost knowledge from inside and external hard disk drives.
 
Lossless implies that the network contains only [[inductance]]s and [[capacitance]]s - no [[Electrical resistance|resistance]]s. Rational (meaning the [[driving point impedance]] ''Z''(''p'') is a [[rational function]] of ''p'') implies that the network consists solely of discrete elements ([[inductor]]s and [[capacitor]]s only - no [[distributed element model|distributed elements]]).
 
==The theorem==
For a given S-matrix <math>\mathbf S(p)</math> of [[Degree of a polynomial|degree]] <math>d</math>;
 
:<math> \mathbf S(p) = \begin{bmatrix} s_{11} & s_{12} \\ s_{21} & s_{22} \end{bmatrix} </math>
:where,
:''p'' is the [[complex frequency]] variable and may be replaced by <math>i \omega</math> in the case of steady state [[sine wave]] signals, that is, where only a [[Fourier analysis]] is required
:''d'' will equate to the number of elements (inductors and capacitors) in the network, if such network exists.
 
Belevitch's theorem states that, <math>\scriptstyle \mathbf S(p)</math> represents a lossless rational network if and only if,<ref>Rockmore ''et al.'', pp.35-36</ref>
 
:<math> \mathbf  S(p) = \frac {1}{g(p)} \begin{bmatrix} h(p) & f(p) \\ \pm f(-p) & \mp h(-p) \end{bmatrix} </math>
:where,
:<math>f(p)</math>, <math>g(p)</math> and <math>h(p)</math> are [[real polynomial]]s
:<math>g(p)</math> is a strict [[Hurwitz polynomial]] of degree not exceeding <math>d</math>
:<math>g(p)g(-p) = f(p)f(-p) + h(p)h(-p)</math> for all <math>\scriptstyle p \, \in \, \mathbb C </math>.
 
==References==
{{reflist}}
 
==Bibliography==
*Belevitch, Vitold ''Classical Network Theory'', San Francisco: Holden-Day, 1968 {{OCLC|413916}}.
*Rockmore, Daniel Nahum; Healy, Dennis M. ''Modern Signal Processing'', Cambridge: Cambridge University Press, 2004 ISBN 0-521-82706-X.
 
[[Category:Circuit theorems]]
[[Category:Two-port networks]]

Latest revision as of 01:39, 25 February 2014

What is the finest to method hold data safe? Does your organization use tape-to-tape knowledge protection, disk-to-tape protection, mirroring a picture to recover data, or a Raid system? Companies, big to small, want data recovery instruments and a disaster knowledge recovery plan to protect their data. Ought to companies buy their very own software to protect delicate knowledge? A few of the data programs used to guard data and stop data loss. Why buying into third-social gathering protection software program isn't at all times as useful because it seems.

What should you really contemplate with that third-occasion software program that's purported to be protecting company knowledge? It might be wise to take a look at the number of computers needing protection. When you've got greater than 50 computer systems on the corporate's community, third-get together encryption software program could also be a great choice. Some third-party software might not let IT groups combine into an lively directory. There are other encryption software programs obtainable, nevertheless, not all supply the identical choices to business heads or IT teams. Another limitation of knowledge encryption software program is that a number of the third-occasion software program is that some of the software is less complicated to break into than others. It could be straightforward to suppose your company doesn't need encryption software to guard each laptop in the network. Nonetheless, if a hacker easily positive aspects entry right into a community, it will probably price an organization priceless data.

Retrieve knowledge using Images

Many occasions, information might be retrieved by way of using screen images. It is a method to make sure an organization doesn't lose beneficial data wanted for every day operations or to guard clients' banking information. Saving pictures is helpful in event that, information corruption has not made the drive with the pictures unsafe and missing data, WAV, RAF, CRW, K25, NEF, and ORF files in cameras are retrievable. However, camera recordsdata aren't the one recordsdata that can be saved. Audio files, comparable to WAV, M4P, MIDI and WMA are additionally found.

Laptop users can again up some sensitive data using images. Do you know that by utilizing pictures, an organization computer may be able to be restored following an influence surge or outage? No sensitive data is lost. Digital memory playing cards from cameras must be handled gingerly, as a way to lose invaluable data by means of fingerprints. Nevertheless, no over-the-counter data recovery has successful charge of 100 percent entirely. Hiring a professional can ensure essentially the most knowledge is recovered from unhealthy drives or accidental worker erasures.

Have you ever ever saved money utilizing knowledge restoration tools? At Leeds Knowledge Restoration, we additionally provide our 15 years of experience in many other information restoration providers in order that your documents stored on Raid arrays and your sensitive data, and extra is safe. We may help you get better lost knowledge from inside and external hard disk drives.

Retrieved from "https://en.formulasearchengine.com/index.php?title=Multiphase_particle-in-cell_method&oldid=268648"