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1
Simple Theorems, Proofs, and Derivations in Quantum Chemistry
Variational-perturbational method: The Hylleraas functional Let us again
consider the perturbed Schrodinger equation (H° + E^b, and the series
expansion of the zero (lowest) energy level according to the powers of the
perturbational ...
2
Air Pollution Modeling and Its Application XIX
A technique of downscaling based on the reformulation of the governing
equations in the perturbational form with arbitrary amplitude of the per-
turbbations had been introduced in our previous works and successfully applied
in meteorological ...
C. Borrego, Ana Isabel Miranda, 2008
3
Quantum Entropy and Its Use
This proposition is a typical example of what we shall call perturbational limit
theorems. Let A and C be C*-algebras and \p a state of C. Assume that we are
given positive unital mappings an : A — > C (n C N). Motivated by Proposition
13.8 (as ...
M. Ohya, Denes Petz, 2004
4
Advances in Quantum Chemistry: Response Theory and Molecular ...
These usual perturbational electron propagator approaches have been highly
successful for low-lying principal IPs and EAs of atoms and molecules where the
initial state is closed shell with no non-dynamical correlation [3–22]. For these ...
5
A GCM Study of El Nino-Southern Oscillation and Its Relation ...
They further divide the energy terms in Eqs. (2.3) and (2.4) into "mean" (subscript
mm), "perturbational" (subscript pp) and "mean-perturbational" (subscript mp)
components in the following way, p - p + p';v = v+v';f = f + f ;w = w + w' (2.5) ...
6
Tensor Calculus and Analytical Dynamics
differentiating Equation jl twice, and reasoning as in the two DOF case, we find
gkh(Dr\kIDt)T.k = (da/dt) - CO b (tangential perturbational velocity) (j2) gkh(Dr\*IDt
)\h = (dbldi) + to a - co' c (normal perturbational velocity) (j3) gkh(DT\kIDt)$h ...
John G. Papastavridis, 1998
7
European Control Conference 1993: Volume 2
In order to circumvent this disadvantage, a singular perturbational approximation
of balanced realizations was developed (see [10]). The main advantage over the
classical truncation of balanced realizations, besides the better approximation ...
8
Duality for Nonconvex Approximation and Optimization
Some axiomatic characterizations of perturbational Lagrangian dual objective
functions (1.392), and perturbational surrogate dual objective functions (e.g., (
1.445), ( 1.462), (l.464)), and, more generally, of dual problems with respect to ...
9
Perspectives in Electronic Structure Theory
Perturbational. Theory. of. Møller. and. Plesset. The variational bounds for the
system total electronic energy are of little value when one calculates the energy
differences in which chemistry abounds. For this purpose it is essential to
eliminate ...
Roman F. Nalewajski, 2012
10
Ideas of Quantum Chemistry
In the perturbational method for the ground state (k = 0): a) the first-order
correction to the energy is always negative; b) the second-order correction to the
energy is always negative; c) the first-order correction to the energy is the largest
among ...
WIADOMOŚCI, KTÓRE ZAWIERAJĄ SŁOWO «PERTURBATIONAL»
Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
perturbational w wiadomościach.
NIH awards aim to improve understanding of cell pathways …
Dr. Jaffe's center will test more than 11,000 perturbational conditions in several cellular model systems. Cellular phosphor-signaling and ... «National Institutes of Health, Wrz 14»
A Measure of Consciousness
The measure, which is called the perturbational complexity index, was obtained by "zapping" the brain with a magnetic field using a ... «Pacific Standard, Maj 14»
Magnetic Stimulation of The Brain Used To 'Define Consciousness'
More specifically, it is called the perturbational complexity index (PCI). In a conscious brain, there is wide-spread, coordinated neural network ... «PlanetSave.com, Sie 13»
Consciousness is a Process
The researchers created algorithms that analyze the patterns of EEG response and spit out a number — the “perturbational complexity index”, ... «National Geographic, Sie 13»
Perturbational Complexity Index Helps Measure Consciousness in …
Brain scans showed that participants of the study with higher blood sugar also had smaller volumes in their hippocampus—the area of the brain ... «Science World Report, Sie 13»
Measuring Consciousness
“It's a perturbational approach,” said Pearce—“you can directly to activate neurons in one part of the cortex and see how other parts respond.”. «Scientist, Kwi 13»
Fathoming Metabolism
Gerszten and Lewis's exercise research is a “perturbational study,” in which participants serve as their own controls. They have conducted such studies before ... «Harvard Magazine, Kwi 11»
Predicting the toxicological effects of nanomaterials with novel …
... previously been tested extensively against four cell lines in four different assays ("Perturbational profiling of nanomaterial biologic activity"). «Nanowerk LLC, Lis 10»
