Search results

...is]], a branch of mathematics, the '''effective domain''' extends of the [[domain of a function]] defined for functions that take values in the [[extended re ...tion takes the value <math>-\infty</math> (if any) belong to the effective domain because such points are considered acceptable solutions to the minimization ...

...'T'') and/or periodic summation (at interval ''P'') of the underlying time-domain function.]] ...periodic summation''' of <math>S(f),</math> which is known as a [[discrete-time Fourier transform]]. ...

...], <math>k = \frac{2\pi}{\lambda}</math> radians per meter, in the spatial domain. Therefore, the spatial sampling rate, in samples per meter, must be <math ...

...analysis of the [[cross-correlation]] or [[cross-covariance]] between two time series. | title = Statistical analysis in climate research ...

...l-signal model|small-signal analyses]]: PAC, PSP, PXF, and Pnoise. The PSS analysis works with both [[autonomous circuit|autonomous]] and [[driven circuit|driv PSS is usually used after [[transient analysis]]. ...

...t1=Bo |last2=Elema-Schönander |first2=AB |title=EEG analysis based on time domain properties |volume=29 |pages=306–310 |journal=Electroencephalography and Cl They are commonly used in the analysis of [[electroencephalography]] signals for feature extraction. The paramete ...

In [[functional analysis]] the '''Meyers–Serrin theorem''', named after [[James Serrin]] and [[Norma for arbitrary domains <math>\Omega \subseteq \R^n</math>. A domain <math>\Omega</math> is any open, non-empty subset of <math>\R^n</math>. ...

...f the Order Tracking is directly the [[Fourier transform]] of such angular domain signal, whose frequency counterpart is defined as "order". Each order repre ...frequency variations over time. This technique is often used in vibration analysis and monitoring of rotating machinery, such as engines, turbines, and pumps. ...

...hur complement]] obtained by eliminating all degrees of freedom inside the domain. ...Operator_and_the_Vector_One.pdf|journal =Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations (Moscow, 1990) |da ...

For the analysis of [[Phase detector]] it is usually considered the models of PD in signal (time) domain and phase-frequency domain.<ref>A. J. Viterbi, ...

...relate [[frequency domain]] expressions to the [[time domain]] behavior as time approaches [[zero]].<ref>{{Cite book |url=https://www.worldcat.org/oclc/593 [[Category:Theorems in analysis]] ...

...be performed, such as [[Sampling (signal processing)|sampling]], [[Fourier analysis]], and [[Filter (signal processing)|filtering]]. The actual computations of Multidimensional sampling requires different analysis than typical 1-D sampling. Single dimension sampling is executed by selecti ...

...rse [[Domain (mathematical analysis)|domain]]. "Sparse domain" refers to a domain in which only a few measurements have non-zero values.<ref>{{Cite book|last ...\ll N}</math>) are non-zero, then the signal is said to be sparse in that domain. ...

* A computational domain is chosen. Typically this is a band around the surface. ...initialized by extending the initial surface data on to the computational domain using the closest point function. ...

...X</math>, and <math>G(Y)</math> a function space containing functions with domain <math>Y</math>. Two functions <math>u</math> and <math>v</math> in <math>F( *[[Time series]] analysis using Fourier transformations ...

...e [[finite element]] and finite volume methods on the solution of infinite domain, thin-walled structures, and [[inverse problems]]. ...has been found very competitive to some application areas such as infinite domain problems. ...

...m theorem''' (or simply '''Lions's theorem''') is a result in [[functional analysis]] with applications in the study of [[partial differential equation]]s. It ...consider the [[heat equation]] in ''n'' spatial dimensions (''x'') and one time dimension (''t''): ...

...ves the [[Integral|integration]] of every term in various equations over a time step (<math>\Delta t</math>). The spatial domain can be discretized to produce a semi-discrete form:<ref>{{cite web |url=htt ...

...hile spectrally bandlimited, or spectral-band-concentrated while space- or time-limited) that form an [[orthogonal basis]] for bandlimited or spacelimited ...dot\rangle</math> for the inner product both in the space and the spectral domain, both problems are stated equivalently as the [[Rayleigh quotient | Rayleig ...

...minimizes the product of its standard deviations in the time and frequency domain (given by the variances defined below). Put another way, the [[Heisenberg's |journal=IEEE Transactions on Pattern Analysis and Machine Intelligence ...