Synonymer & Information om | Engelska ordet VARIATIONAL

Exempel på hur man kan använda VARIATIONAL i en mening

• The main flavours of stochastic calculus are the Itô calculus and its variational relative the Malliavin calculus.
• In the mean-field approximation in variational Bayes (used for approximating the posterior distribution in large Bayesian networks), the best approximating posterior distribution of an exponential-family node (a node is a random variable in the context of Bayesian networks) with a conjugate prior is in the same family as the node.
• He covers a very broad spectrum: problems with nonstandard growth (variable exponents, anisotropic problems, double-phase problems), qualitative analysis of solutions of semilinear and quasilinear PDEs (Dirichlet, Neumann, Robin boundary conditions), singular and degenerate problems (blow-up boundary, singular reactions), inequality problems (variational, hemivariational, both either stationary or evolutionary).
• While the above ansatz for the wave function itself has no natural truncation, however, for other properties, such as energy, there is a natural truncation when examining expectation values, which has its basis in the linked- and connected-cluster theorems, and thus does not suffer from issues such as lack of size extensivity, like the variational configuration-interaction approach.
• In linear algebra and functional analysis, the min-max theorem, or variational theorem, or Courant–Fischer–Weyl min-max principle, is a result that gives a variational characterization of eigenvalues of compact Hermitian operators on Hilbert spaces.
• Central to Frieden's derivations is the mathematical variational principle of extreme physical information (EPI).
• Popular DGMs include variational autoencoders (VAEs), generative adversarial networks (GANs), and auto-regressive models.
• Variationist sociolinguistics or variational sociolinguistics, the study of variation in language use among speakers or groups of speakers.
• In contrast to the Hartree–Fock method, in order to account for electron correlation, CI uses a variational wave function that is a linear combination of configuration state functions (CSFs) built from spin orbitals (denoted by the superscript SO),.
• The idea was to derive a weak variational form of first order necessary conditions for optimality, discretise the time domain in finite intervals and use a simple zero order polynomial representation of states, controls and adjoints over each interval.
• Brandon Carter (no-hair theorem, Carter constant, black-hole mechanics, variational principle for Ernst vacuums),.
• The original proof of the theorem for ADM mass was provided by Richard Schoen and Shing-Tung Yau in 1979 using variational methods and minimal surfaces.
• But for the finite-range gravity model and Ogievetsky and Polubarinov model, it turns out that they need Noether's variational principle together with redefining and conformally improving the energy momentum tensor as a source field.
• The Global Forecast System (GFS) is a global numerical weather prediction system containing a global computer model and variational analysis run by the United States' National Weather Service (NWS).
• For irreversible thermodynamics, Biot utilized the variational approach and was the first to introduce the dissipation function and the minimum dissipation principle to account for the dissipation phenomenon, which led to the development of thermoelasticity, heat transfer, viscoelasticity, and thermorheology.
• SHAPER: parametric and variational CAD generator of geometrical models for physics simulation in industrial domains, compatible with the STEP, IGES and BREP formats;.
• A method that avoids making the variational overestimation of HF in the first place is Quantum Monte Carlo (QMC), in its variational, diffusion, and Green's function forms.
• Various models have been proposed, introducing interactions between instantons or using variational methods (like the "valley approximation") endeavouring to approximate the exact multi-instanton solution as closely as possible.
• Aimed at beginning graduate students, it covers spinors, the variational principles, the initial-value formulation, (exact) gravitational waves, singularities, Penrose diagrams, Hawking radiation, and black-hole thermodynamics.
• In January 2019, the Indian Academy of Sciences announced that 23 scientists were elected as fellows of the academy, including Sandeep Kunnath (who studies partial differential equation, variational methods, and nonlinear functional analysis) and G D Veerappa Gowda, both from the TIFR Centre for Applicable Mathematics.

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