Information om | Engelska ordet SELF-CONSISTENT

Exempel på hur man kan använda SELF-CONSISTENT i en mening

• The most powerful driver for rigorous, fully self-consistent use of sexagesimal has always been its mathematical advantages for writing and calculating fractions.
• In 2012, the IAU, as part of a new, self-consistent set of units and numerical standards for use in modern dynamical astronomy, redefined the astronomical unit as.
• In deriving what is now called the Hartree equation as an approximate solution of the Schrödinger equation, Hartree required the final field as computed from the charge distribution to be "self-consistent" with the assumed initial field.
• Excited states are often calculated using coupled cluster, Møller–Plesset perturbation theory, multi-configurational self-consistent field, configuration interaction, and time-dependent density functional theory.
• The self-consistent development of the hyperreals turned out to be possible if every true first-order logic statement that uses basic arithmetic (the natural numbers, plus, times, comparison) and quantifies only over the real numbers was assumed to be true in a reinterpreted form if we presume that it quantifies over hyperreal numbers.
• A simple example shows that normal ordering cannot be extended by linearity from the monomials to all operators in a self-consistent way.
• The Pardes, as it is known, was a systemization of all Kabbalistic thought up to that time and featured the author's attempt at a reconciliation of various early schools with the conceptual teachings of the Zohar to demonstrate an essential unity and self-consistent philosophical basis of Kabbalah.
• one can have some nearly degenerate determinants for the multi-configurational self-consistent field method to account for static correlation and/or some truncated CI method for the biggest part of dynamical correlation and/or on top some perturbational ansatz for small perturbing (unimportant) determinants.
• a single Slater determinant composed of orbitals that are the eigenfunctions of the corresponding self-consistent Fock operator.
• Initially viewed as a provisional, suspect procedure by some of its originators, renormalization eventually was embraced as an important and self-consistent tool in QED and other fields of physics.
• fitted experimental data of high-purity polycrystalline Zr to a self-consistent viscoplastic model to study slip and twinning systems' rate and temperature sensitivity.
• In 1934, Frenkel outlined the formalism for the multi-configuration self-consistent field method, later rediscovered and developed by Douglas Hartree.
• In the 1970s, the current version of MOLPRO added a number of advanced methods such as multiconfiguration self-consistent field (MC-SCF) and internally contracted multireference configuration interaction (MR-CI).
• In FMO, various wave functions can be used for ab initio calculations of fragments and their dimers, such as Hartree–Fock, Density functional theory (DFT), Multi-configurational self-consistent field (MCSCF), time-dependent DFT (TDDFT), configuration interaction (CI), second order Møller–Plesset perturbation theory (MP2), coupled cluster (CC), and density functional tight binding (DFTB).
• Other studies disproved some of the assumptions made by Rider and Nevins, arguing the real fusion rate and the associated recirculating power (needed to overcome the thermalizing effect and sustain the non-Maxwellian ion profile) could be estimated only with a self-consistent collisional treatment of the ion distribution function, lacking in Rider's work.
• The book represents a self-consistent reference for teachers of courses dealing with bioengineering, biotechnology, applied biophysics, and microelectronic biosensors.
• Hartree–Fock, or the self-consistent field method, is a non-relativistic method of generating approximate wavefunctions for a many-bodied quantum system, based on the assumption that each electron is exposed to an average of the positions of all other electrons, and that the solution is a linear combination of pre-specified basis functions.
• He graduated from Kaunas University in 1931 and later worked with both creators of the self-consistent field method – Douglas Hartree in Manchester (in 1938) and Vladimir Fock in Leningrad (1949–1951).
• 5 Lifshitz transition where the renormalization of chemical potential at the metal-to-superconductor transition is not negligeable and the self-consistent solution of the gaps equation is required.
• Maslov's asymptotic methods are closely related to such problems as the theory of a self-consistent field in quantum and classical statistics, superfluidity and superconductivity, quantization of solitons, quantum field theory in strong external fields and in curved space-time, the method of expansion in the inverse number of particle types.

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