The Theory of Functional Connections (TFC) is a mathematical framework designed for functional interpolation. It introduces a method to derive a functional—...

This drawback is overcome by using functional interpolation techniques such as the Theory of functional connections (TFC)'s constrained expression, in...

Financial, a bank based in Charlotte, North Carolina Theory of Functional Connections, generalization of interpolation (Mathematics) Rhythmic, a Billboard...

the Theory of functional connections. Mortari was elected Member of the International Academy of Astronautics in 2021 [1]. He was named Fellow of the...

Density functional theory (DFT) is a computational quantum mechanical modelling method used in physics, chemistry and materials science to investigate...

have been developed. The Theory of Functional Connections (TFC) is a mathematical framework specifically developed for functional interpolation. Given any...

bundles and connections in order to explain the concept of gauge symmetry and gauge invariance as it applies to physical theories. The gauge theories Yang and...

mathematical physics, gauge theory is the general study of connections on vector bundles, principal bundles, and fibre bundles. Gauge theory in mathematics should...

of a functional had previously been introduced in 1887 by the Italian mathematician and physicist Vito Volterra. The theory of nonlinear functionals was...

In quantum field theory, partition functions are generating functionals for correlation functions, making them key objects of study in the path integral...

notion of functional alternatives is important because it reduces the tendency of functionalism to imply approval of the status quo. Merton's theory of deviance...

Hybrid functionals are a class of approximations to the exchange–correlation energy functional in density functional theory (DFT) that incorporate a portion...

density-functional theory (TDDFT) is a quantum mechanical theory used in physics and chemistry to investigate the properties and dynamics of many-body...

In engineering, functional decomposition is the process of resolving a functional relationship into its constituent parts in such a way that the original...

theory. Later connections to random matrix theory, combinatorics, representations of symmetric groups, large deviations, quantum information theory and...

alternative to Hartree–Fock calculations used in some cases is density functional theory, which treats both exchange and correlation energies, albeit approximately...

In density functional theory (DFT) the adiabatic-connection fluctuation-dissipation theorem (ACFD) is an exact formula for the Kohn–Sham correlation energy...

invertible}}\}.} Invariant subspace Functional calculus Spectral theory Resolvent formalism Compact operator Fredholm theory of integral equations Integral operator...

– as linear combinations of atomic orbitals (LCAO). These approximations are made by applying the density functional theory (DFT) or Hartree–Fock (HF)...

own. Possessing a functional theory of mind is crucial for success in everyday human social interactions. People utilize a theory of mind when analyzing...

calculated using density-functional theory (DFT), which is not a model but rather a theory, i.e., a microscopic first-principles theory of condensed matter physics...

have been many hypotheses regarding the mechanisms. Theories behind the pathophysiology of functional dyspepsia include gastroduodenal motility, gastroduodenal...

neural activity is transmitted across the various connections within the brain. Percolation theory can be easily understood by explaining its use in epidemiology...

Yang–Mills theory, a (weakly) stable Yang–Mills (YM) connection is a Yang–Mills connection around which the Yang–Mills action functional is positively...

Ginzburg–Landau theory, often called Landau–Ginzburg theory, named after Vitaly Ginzburg and Lev Landau, is a mathematical physical theory used to describe...

function theory as being formulated in terms of the electronic density alone and as such is viewed as a precursor to modern density functional theory. The...

seemingly disparate computer-science problems under a unified, functional model. Category theory also provides a few formal requirements, known as the monad...

valence bond (VB) theory is one of the two basic theories, along with molecular orbital (MO) theory, that were developed to use the methods of quantum mechanics...

gauge theory is dominated by the study of connections (primarily because it's mainly studied by high-energy physicists), the idea of a connection is not...

infinity limit is taken. The large-N limit of two-dimensional Yang–Mills theory has connections to string theory. Interest in the Yang–Mills measure comes...