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...a}</math> relates stresses in the current configuration, the deformation [[gradient]] and strain tensors are described by relating the motion to the reference ...ensor''', <math>\boldsymbol{P}</math>, relates forces in the ''present'' ("spatial") configuration with areas in the ''reference'' ("material") configuration. ...

...s <math>s_m (n)</math>. The (unweighted) steered-response power (SRP) at a spatial point <math>\mathbf{x} = [x, y, z]^{T}</math> can be expressed as ...rid of candidate source locations <math>\mathcal{G}</math> to estimate the spatial location of the sound source, <math> \textbf{x}_s </math>, as the point of ...

...exture''' is the small-scale structure perceived on an image, based on the spatial arrangement of color or intensities.<ref name=CV/> ...n of images]]. For more accurate segmentation the most useful features are spatial frequency and an average grey level.<ref>{{cite journal|title=Out-of-focus ...

==Spatial variation and gradient== ...

...um if the Fermi level were at <math>E</math>, and <math>p(E)</math> is the spatial density of holes that would be present in thermal equilibrium if the Fermi ...ity]], and <math>E_{F}(\mathbf{r})</math> be the quasi fermi energy at the spatial point <math>\mathbf{r}</math>, then we have <math display="block"> \mathbf{ ...

...ur, but may not have a large impact, and with a pattern derived from the [[gradient]] of the impact function, which has a large impact, but may not be likely t ...f name="fraedrich"/> in that it takes into account an external vector, the gradient of the impact. ...

{{short description|Measure used in calculating seawater density gradient}} ...to be ''compensated'': their density signatures cancel, leaving a density gradient of zero. The formula for the density ratio, <math>R_\rho</math>, is: ...

...the cell. The [[divergence theorem]] is applied to the advection, pressure gradient, and diffusion terms. ...backward difference for the time derivative and central difference for the spatial derivatives. For both momentum equations, the time derivative becomes ...

...title= Selective Excitation Localized by the Bloch-Siegert Shift and a B1+ Gradient |journal=Magnetic Resonance in Medicine |date=September 2022 |volume=88 |is ...but produces undesirable acoustic noise, peripheral nerve stimulation, and spatial design constraints. ...

...th respect to the spatial coordinate system of reference, are called the ''spatial coordinates'' ...in terms of the spatial coordinates it is called the [[Continuum mechanics|spatial description or Eulerian description]]. ...

...ref><ref name = "Watertreatment">{{citation| title = Influence of velocity gradient in a hydraulic flocculator on NOM removal by aerated spiral-wound ultrafilt ...\text{velocity}}{\Delta \text{distance}}</math>. Therefore, the velocity gradient has the same dimensions as this ratio, i.e., <math>\mathsf{ T^{-1} }</math> ...

...surface interacts differently with the atmosphere. Secondly, the time and spatial scales for forcings between the Earth's surface and atmosphere occur on sca ...the model. Furthermore, even with the highest resolution of 1 degree, the spatial scales of many of the physical processes incorporated in the model are stil ...

...l [[image registration]] techniques are generally costly. KLT makes use of spatial intensity information to direct the search for the position that yields the This approximation to the gradient of the image is only accurate if the displacement of the local area between ...

...ives the probability of sampling a point belonging to the cloud at a given spatial coordinate, and then finding a transform that maps the second point cloud t ...ll within the cell. The probability density of sampling a point at a given spatial location <math>\mathbf{x}</math> within the cell is then given by the norma ...

...field would arise from an electrostatic potential <math>A_a</math> without spatial symmetry:<ref name=CS3 /><ref name=CS4 /><ref name=CS5 /><br /> ...pectively the generic [[Laplace operator|Laplace]] and [[Gradient Operator|gradient]] operators. in Eq(7), <math>i\,,j</math> run freely over the coordinates < ...

...y stress tensor, and <math>\boldsymbol{L}</math> is the spatial [[velocity gradient]] tensor. ...ive adiabatic loading paths that start and end with the same [[deformation gradient]] but do ''not'' start and end at the same internal energy. ...

: ''m'' = gradient uphill or downhill (''dh/dx = S'' in Tobler's formula), ! rowspan="2" | Slope<BR>(deg) !! rowspan="2" | Gradient<BR />(dh/dx) !! colspan = "2" | Speed !! colspan = "3" | Pace ...

| image = Colour gradient comparison of HSV and okLCH.png | caption = Irregular perceptual lightness in a gradient generated with constant ''value'' in [[HSL and HSV|HSV]] space, with light ...

* the [[deformation gradient]] tensor can be multiplicatively decomposed in an elastic part and a plasti ...tempted=yes }}</ref> The decomposition assumes that the total deformation gradient ('''''F''''') can be decomposed as: ...

...lta </math> denotes the [[Laplacian]], <math> \nabla </math> denotes the [[gradient]], <math> \operatorname{div}(\cdots) </math> is the [[divergence]] operator ...ols the rate of diffusion and is usually chosen as a function of the image gradient so as to preserve edges in the image. [[Pietro Perona]] and [[Jitendra Mal ...