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{{Redirect|Surface (computer)|the table-top computer|Microsoft Surface}} [[Image:Saddle pt.jpg|thumb|300px|right|An open surface with u- and v-flow lines and ''Z''-contours shown.]] ...

{{About||the computer|Microsoft Surface|other uses}} [[File:Red Apple.jpg|thumb|right|The surface of an apple has various perceptible characteristics, such as curvature, smo ...

The basic superellipsoid is defined by the [[implicit function]] The surface of the superellipsoid is defined by the equation: ...

...over complicated immersed solid bodies on grids that do not conform to the surface of the body Mittal and Iaccarino,<ref>{{harvnb|Mittal|Iaccarino|2005}}.</re |title=Modeling the dynamics of an elastic rod with intrinsic curvature and twist using a r ...

...>{{cite journal|last1=Cramer|first1=C. J.|last2=Truhlar|first2=D. G.|title=Implicit Solvation Models: Equilibria, Structure, Spectra, and Dynamics| year = 1999 ...rid methodologies are another option. These methods incorporate aspects of implicit and explicit aiming to minimize computational cost while retaining at least ...

...mics method using column experiments with a moving water table and applied surface flux, ''Water Resour. Res.'', 10.1002/2014WR016454.</ref><ref name="SMVE201 ...the soil using a finite moisture-content discretization. Employing the [[Implicit function theorem]], which by the [[Triple product rule|cyclic rule]] requir ...

...updating the control points, and the [[Limit (mathematics)|limit]] curve (surface) can [[Interpolation|interpolate]] or [[Approximation theory|approximate]] ...Wang |first5=Jiaxi |last6=Yong |first6=Junhai |title=Advances in Geometric Modeling and Processing |chapter=Progressive Interpolation Using Loop Subdivision Su ...

...tically modelling the electrical activity of the heart : from cell to body surface and back again |date=2005 |publisher=World Scientific |isbn=978-9812563736} ...eau |first4=Jean-Frédéric |last5=Zemzemi |first5=Nejib |title=Mathematical Modeling of Electrocardiograms: A Numerical Study |journal=Annals of Biomedical Engi ...

...mes, with the four main ones being PIC ([[Particle-in-cell]]), FLIP (Fluid-Implicit Particle), hybrid format, and APIC (Affine Particle-in-Cell). Understanding ...1 |title=An immersed finite element material point (IFEMP) method for free surface fluid–structure interaction problems |url=https://www.sciencedirect.com/sci ...

...6 = J.L. | display-authors = etal }}</ref> constructing graphs for optimal surface segmentations,<ref name=":MirxCMIG17">{{Cite journal | title = Incorporatio ...U2004">{{Cite journal | title = Silhouette and stereo fusion for 3D object modeling | journal = Computer Vision and Image Understanding | volume = 96 | issue = ...

The '''third medium contact''' '''(TMC)''' is an implicit formulation used in [[contact mechanics]]. Contacting bodies are embedded i | note2=Fully implicit formulation <ref name="Bog2015" /> ...

...ultidimensional positive definite advection transport algorithm with small implicit diffusion|doi=10.1016/0021-9991(84)90121-9|volume=54|issue=2 |pages=325–362 ...ithm name. Since each iteration of the scheme constitutes a [[explicit and implicit methods|forward-in-time]] upwind pass, the scheme inherits characteristics ...

In some cases, the time integration is performed using [[Explicit and implicit methods|explicit]] time-stepping [[Numerical methods for ordinary different ...integrator|symplectic]] methods, can be used. These methods are generally implicit in nature, requiring extra computation when compared to explicit methods.<r ...

...non to be [[simulated]], e.g. some approximation to [[#shading calculation|surface shading]]. Contrasts with [[Empirical model]]s based purely on recorded dat {{defn|Coordinate systems used to control surface deformation (via Weight maps) during [[skeletal animation]]. Typically stor ...

...mpressor+characteristic&pg=PA24|title=Compressor Surge and Rotating Stall: Modeling and Control|last2=Egeland|first2=Olav|date=2012-12-06|publisher=Springer Sc ...[Dimensionless quantity|dimensionless]] variables. For this, we start with implicit [[Functional relationship|functional relationships]] for all the variables ...

...d side-chains and water [[molecules]], both within the interior and on the surface of the protein, are all examples of how complicated the assignment of permi ...math>\Omega</math>, and average <math>\epsilon</math> over the integration surface <math>\partial \Omega</math> . This approach allows us to approximate the l ...

...equation]]s arising in engineering and [[mathematical models|mathematical modeling]]. Typical problem areas of interest include the traditional fields of [[st | journal = Multiscale Modeling & Simulation ...

...tter case, the curve necessarily converges to a [[closed geodesic]] of the surface.<ref>{{harvtxt|Grayson|1989b}}; {{harvtxt|White|2002}}, p.&nbsp;528; {{harv ...t every smooth simple closed curve on the sphere that divides the sphere's surface into two equal areas (like the seam of a [[tennis ball]]) must have at leas ...

...plane (geometry)|plane]], [[distance]], [[angle]], [[surface (mathematics)|surface]], and [[curve]], as fundamental concepts.<ref name="Tabak 2014 xiv">{{cite ...rkable theorem") that asserts roughly that the [[Gaussian curvature]] of a surface is independent from any specific [[embedding]] in a [[Euclidean space]]. Th ...

...ef>{{cite journal | doi = 10.1016/j.neucom.2008.04.030 | volume=71 | title=Modeling word perception using the Elman network | year=2008 | journal=Neurocomputin ...2=Dahl|first2=George|last3=Hinton|first3=Geoffrey|date=2012|title=Acoustic Modeling Using Deep Belief Networks|journal=IEEE Transactions on Audio, Speech, and ...