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==Films and television== == Mathematics == ...

...eal parametric expression becomes:<ref>John Oprea, The Mathematics of Soap Films: Explorations With Maple, American Mathematical Soc., 2000</ref> ...

...me=":1">{{Cite journal|last=Myers|first=T. G.|date=January 1998|title=Thin Films with High Surface Tension|url=http://epubs.siam.org/doi/10.1137/S0036144595 ...n film equation is discussed in SIAM ([[Society for Industrial and Applied Mathematics]])<ref name=":1" /> ...

..., the field at the end of the layer can be derived from a simple [[matrix (mathematics)|matrix]] operation. A stack of layers can then be represented as a system ...ie générale des couches minces |trans-title=The generalized theory of thin films| journal=Journal de Physique et le Radium | publisher=EDP Sciences | volume ...

...on equations]] describe how photons of varying energies interact with thin films. When used with a spectroscopic [[reflectometry]] tool, the Forouhi–Bloomer == Characterizing thin films == ...

...die Erforschung der Bewegung der Gase mit Rotation]. [[Journal of Applied Mathematics and Mechanics|ZAMM]], Vol. 17, Issue 1, pp. 1–7, 1937. DOI: 10.1002/zamm.19 ...name="Shapiro">Shapiro, Ascher H. "National Committee for Fluid Mechanics Films Film Notes for 'Vorticity,'" 1969. Encyclopædia Britannica Educational Corp ...

{{about|the general mathematical concept|its optical applications|Radius of curvatu ...ular arc]] which best approximates the curve at that point. For [[surface (mathematics)|surface]]s, the radius of curvature is the radius of a circle that best fi ...

...of [[integral|integration]], as well as the [[integrand]], are [[Function (mathematics)|functions]] of a particular parameter. In physical applications, that para ...2010). "Hamiltonian Dynamic Equations for Fluid Films". Studies in Applied Mathematics. {{doi|10.1111/j.1467-9590.2010.00485.x}}. {{ISSN|0022-2526}}.</ref> provid ...

...stiffness (see also the [[finite element]] method). The system oscillates about the equilibrium position under the influence of loads. An iterative process *[[Optimization (mathematics)]] ...

...alled ''[[plane (mathematics)|plane]]s'', or, more generally, ''[[surface (mathematics)|surface]]s''. These include analogs to physical spaces, like flat planes, ...]] in [[three-dimensional Euclidean space]] or some other [[ambient space (mathematics)|ambient space]], and inherit their structure from it; for example, [[ruled ...

In [[mathematics]], a '''minimal surface of revolution''' or '''minimum surface of revolutio ...least surface area.<ref name="Peter J. Olver">{{cite book | title=Applied Mathematics Lecture Notes | last=Olver | first=Peter J. |author-link=Peter J. Olver | c ...

...2010). "Hamiltonian Dynamic Equations for Fluid Films". Studies in Applied Mathematics. {{doi|10.1111/j.1467-9590.2010.00485.x}}. {{ISSN|0022-2526}}.</ref> is an ...re the [[geometric]] foundations of the CMS. The velocity C is the [[rate (mathematics)|rate]] of deformation of the surface <math>\Sigma</math> in the instantane ...

...theory based on the length of the film; however, it worked only for whole films without modifications. When applied to short clips of a video, Idynk et al. ...blocks, sorted by [[gray level]]. Then it's possible to create a [[Vector (mathematics and physics)|vector]] describing the average gray level of each block. ...

In the [[mathematics|mathematical]] field of [[differential geometry]], a '''calibrated manifold ...hat calibrated ''p''-submanifolds minimize volume within their [[Homology (mathematics)|homology class]]. Indeed, suppose that ''&Sigma;'' is calibrated, and ''&S ...

| alt_name = Project MATHEMATICS! ...e [[California Institute of Technology]] to help teach basic principles of mathematics to high school students.<ref name="PRIMUS" /> In 2017, the entire series of ...

...T. A. |last4=Sehitoglu |first4=Huseyin |title=Biaxial testing of nanoscale films on compliant substrates: Fatigue and fracture |journal=Review of Scientific ...opic nonlinearly elastic solids. A continuum mechanical framework |journal=Mathematics and Mechanics of Solids |date=July 2009 |volume=14 |issue=5 |pages=474–489 ...

...ve involved experimental, computational, and [[theoretical physics]] and [[mathematics]], as well as other areas of science, including magnetism; particle and rad ...itle=3 Minutes to Impact|medium=Television science special|publisher= York Films of England for Discovery Channel|location= Meteor Crater, Barringer, Arizon ...

...ograde''. In addition, the motion amplitude decays and the [[eccentricity (mathematics)|eccentricity]] changes as the depth into the material increases. The depth ...stations. It is also possible to observe Rayleigh wave dispersion in thin films or multi-layered structures. ...

A topological insulator is an insulator for the same reason a "[[Triviality (mathematics)|trivial]]" (ordinary) insulator is: there exists an [[Band gap|energy gap] ...2013|title=Ordered growth of topological insulator {{chem|Bi|2|Se|3}} thin films on dielectric amorphous SiO2 by MBE|journal=Nanoscale|language=en|volume=5| ...

...able but when an infinitely small variation in the present state may bring about a finite difference in the state of the system in a finite time, the system ...physics)|elasticity]]; although the physics is different in each case, the mathematics and the techniques used are similar. The essential problem is modeled by no ...