「equations」の共起表現(1語右で並び替え)

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「equations」の共起表現一覧(1語右で並び替え)

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UT vacuum is an exact solution to Einstein's	equations, a model universe formulated in the framewor
Gauss's law is one of Maxwell's	equations, a set of four laws governing electromagneti
require solution of a large system of linear	equations; accomplished by sparse matrix techniques.
Einstein's	equations admit gravity wave-like solutions.
Tyler Dual Enrollment courses (Differential	Equations, Advanced Mathematical Modeling, Linear Alge
lready appeared in his book of 1678: some of	equations after elimination are the same as resultant.
Logic analysis evaluates the	equations, algorithms, and control logic of the softwa
important to realize that the Einstein field	equations alone are not enough to determine the evolut
f active filters or represented with digital	equations, an analog ear can incorporate nonlinearitie
especially in the fields of the differential	equations and physics.
of formal analogies between Maxwell's field	equations and an approximation, valid under certain co
with Helge Holden: Soliton	Equations and their Algebro-Geometric Solutions, Bd.1
stence of solutions of ordinary differential	equations, and is used in one proof of the inverse fun
atician working in the field of differential	equations and mathematical physics.
nonlinear programming, systems of nonlinear	equations and inequalities, and nonlinear least square
e relations by rephrasing them as difference	equations, and then solving the difference equation, a
ially the numerical solution of differential	equations and numerical methods for scientific computi
Soliton	equations and Hamiltonian systems.
He worked both on ordinary differential	equations and on partial differential equations studyi
They satisfy certain partial differential	equations, and can also be given in terms of Euler-typ
Differential	equations and optimization in financial markets
h respect to the field should give the field	equations and varying with respect to the metric shoul
n known for his work in partial differential	equations and Riemannian geometry, in particular contr
t also made fun of prevalent socio-political	equations and prejudices of the region.
The Cold	Equations and Other Stories (2003)
MathMagic is known for its DTP quality	equations and widely used by Adobe InDesign and QuarkX
rallel library for solving systems of linear	equations and standard eigenvalue problems with real s
t-of-state firms, calculates pay v. benefits	equations and categorizes acquisitions by the state an
of nonlinear parabolic partial differential	equations, and to singularity theory.
l contributions in the study of differential	equations and to rational mechanics, notably the Hamil
umerical analysis of stochastic differential	equations, and to quantitative finance.
n Classical General Relativity: II Evolution	Equations and a Conjecture of K P Tod, in Proceedings
He also wrote about differential	equations and probability.
colaus worked mostly on curves, differential	equations, and probability.
is a unit inconsistency between the main GEM	equations and the example of a rotating object,check f
the theory of nonlinear partial differential	equations, and received the Fields Medal for his mathe
drive the shape of a design by mathematical	equations and relationships.
eory and some variant solutions of Maxwell's	equations and was conceived in the Soviet Union by a g
nced algorithms use the full Knott-Zoeppritz	equations and there is full allowance for amplitude an
finite integration, solution of differential	equations, and other higher-order mathematical questio
ive shock-capturing scheme for solving Euler	equations and other hyperbolic equations which occur i
mputes a numerical solution to the governing	equations, and writes user-specified output data to fi
This is a set of coupled	equations and since we expect the solutions to be osci
la for anyone direction, leading to Integral	equations and to Neumann's inverse boundary problem of
udents are better equipped to understand the	equations and formulas of physics, and to make connect
hyperbolic and singular partial differential	equations and asymptotics.
he story of modern India - of changing caste	equations and a realization of this reality among the
mework for numerical optimization, nonlinear	equations and systems of them.
K can be seen as the successor to the linear	equations and linear least-squares routines of LINPACK
pectively the Faddeev and Faddeev-Yakubovsky	equations) and are thus sometimes separately classifie
ution of appropriate systems of differential	equations, and assuming asymptotic flatness provides b
ted also to analysis of partial differential	equations and differential geometry.
Yungui Gong and Anzhong Wang, The Friedmann	equations and thermodynamics of apparent horizons, Phy
w local time scales occur, and how the field	equations and conservation laws are generated by simpl
stochastic analysis, stochastic differential	equations and geometric analysis.
In particular, his Differential	Equations and the Calculus of Finite Differences (1839
n approximation method, partial differential	equations and thus fluid dynamic problems can be solve
Consequently, many partial differential	equations and variational problems are defined on Lips
his contribution to non-linear differential	equations and their applications in industry.
Through mathematical	equations and computing power EPDs can be generated fo
atician specialising in partial differential	equations and ill-posed problems.
hosen plaintexts can be used to simplify the	equations and optimize the attack.
stochastic ordinary and partial differential	equations and applications, particularly to physics, b
e primary areas of research are Differential	Equations, Applied Analysis, Variational and Control T
The same	equations apply to other wave based sensors, such as r
thematics: ordinary and partial differential	equations, approximation theory, geometric numerical i
his overlooks the fact that the Raychaudhuri	equations are still nonlocal.
These	equations are important for the understanding of the b
Such	equations are called relativistic wave equations.
al and the collisional terms of the momentum	equations are zero, and the only terms left in the equ
Its Euler-Lagrange	equations are
All	equations are normal-ordered.
These field	equations are manifestly covariant, i.e. there is no p
The Boussinesq	equations are applicable to surface waves on thicker l
The pair of	equations are coupled because the Fock matrix elements
The parameters in the above	equations are
Therefore the above	equations are combined.
The Einstein field	equations are a set of 10 simultaneous, non-linear, di
If the right-hand sides of his	equations are multiplied by γ they are the modern Lore
All such	equations are based on differentials, which assume a c
In general relativity, the Papapetrou-Dixon	equations are the equations of motion of a possibly sp
The Rabinovich-Fabrikant	equations are a set of three coupled ordinary differen
s the manifold has dimension n, the geodesic	equations are a system of n ordinary differential equa
The solutions of the field	equations are the components of the metric tensor of s
It argues that differential	equations are more suited to modelling cognition than
pproximation these solutions of the Einstein	equations are known as the Lienard-Wiechert gravitatio
These matrix	equations are applicable either to prism pulse compres
The numerators of these	equations are rounded to two decimal places.
The Kohn-Sham	equations are named after Walter Kohn and Lu Jeu Sham,
The Kohn-Sham	equations are found by varying the total energy expres
In the BSSN formalism, the ADM	equations are modified by introducing auxiliary variab
The DGLAP QCD evolution	equations are widely used in global determinations of
iting before a narrowing step is applied and	equations are rejected if the two sides have different
that the scalar, vector and tensor evolution	equations are decoupled.
es: in the former, methods from differential	equations are utilized, whereas in the latter the meth
semble, or modal realism, and say that those	equations are not unique.
Many basic solutions of the Einstein field	equations are warped geometries, for example the Schwa
ensional variables and coordinates, the Dean	equations are then
Industrial Management Problems with Lots of	Equations") that took coded equations as symbolic inpu
s can also be modeled with integrodifference	equations, as long as the organism has non-overlapping
Eliminating Φ, we get exactly the same	equations as before.
The mass-balance	equations assume the simpler form.
analysis (MNA) to form the system of circuit	equations, ASTAP instead used sparse tableau formulati
or of the Numerical Analysis of Differential	Equations at the University of Cambridge and a member
trary n-by-m matrix by applying it to normal	equations ATA and right-hand side vector ATb, since AT
Geometria, a collection of	equations based on the first chapter of Metrica.
rficial velocity is used in many engineering	equations because it is the value which is usually rea
then the above	equations become
at closely resemble the partial differential	equations being solved.
amined a large class of partial differential	equations, both linear and non-linear, and especially
The scribes did not record any formulas or	equations, but scholars do give representations using
studying exact solutions of Einstein's field	equations, but strictly speaking the classification is
lia into revealing his solution to the cubic	equations, by promising not to publish them.
This allows us to simplify the Navier-Stokes	equations by substituting in the sum of the steady com
uation can be derived from the Navier-Stokes	equations by considering only the buoyancy force and d
d in the 1930s for solving systems of linear	equations by hand.
logue calculating machines seek solutions to	equations by translating them into physical phenomena.
tain materials such as gallium arsenide, the	equations can be analyzed by the methods of degenerate
This effect, as modeled via Maxwell's field	equations, can be thought of as the electromagnetic la
When the geodesic	equations can be separated into terms containing only
These two	equations can be viewed as state space equations and l
	Equations can be rendered into pictures or transformed
3 dimensionless first order	equations can define the shape factor
This shows that the nonlinear field	equations can show us more, or rather limit us more, t
e coordinate values (L, j, g), which through	equations can be derived from the CIE XYZ 1964 tristim
This set of simultaneous	equations can be solved to find concentrations of each
, and the number of first-order differential	equations cannot exceed 30.
He has taught courses on Differential	Equations, Complex Methods, Supersymmetry and Extra Di
The charge carrier densities enters	equations concerning the electrical conductivity and r
The	equations concerning viscoelastic properties assume pl
With superstrings the	equations contain not only the 10D space-time coordina
main benefit is that the gain and covariance	equations converge to constant values on a much bigger
It is possible to set up	equations correlating direct quantitative structure ac
Each four-dimensional solution [to Maxwell's	equations] could then be inverted in a four-dimensiona
escent in the theory of partial differential	equations, culminating in his seminal book on the subj
'reduced groups' obtained by performing the	equations defining the group arithmetic modulo the unk
Einstein field	equations: describe interaction of matter with the gra
The four re-formulated Maxwell's	equations describe the nature of static and moving ele
In seismology, the Zoeppritz	equations describe how seismic waves are transmitted a
These	equations described physical relationships in a precis
or deriving exact solutions to the nonlinear	equations describing these solitons and for associated
be able to buy T-shirts on which are printed	equations describing the unified laws of our universes
With MIMIC, ordinary differential	equations describing mathematical models in several sc
As Einstein's field	equations determine the geometry of spacetime, it shou
ast, The Art of Electronics contains tables,	equations, diagrams, and other material practitioners
ns in complementarity problems, differential	equations, differential inclusions and dynamical syste
as extended to provide explicit second order	equations directly applicable to the design of prismat
reducing physics to a set of abstract field	equations divorced from a mechanical model.
ons and has been largely superseded by other	equations due to Fuoss and Onsager, 1932 and 1957 and
ltiple inheritance), pattern-matching modulo	equations, E-strategies (user control over laziness),
ranks 3,600+ built-in frequently encountered	equations enabling users to easily find the ideal mode
sian elimination for large sparse systems of	equations, especially those arising from the finite el
e model will change or not, according to the	equations established to govern those relationships.
All the particle	equations except the Breit, the Yang-Mills, Yang-Mills
In 1883, following from Maxwell's	equations, FitzGerald suggested a device for producing
, quantum field theory, partial differential	equations, fluid dynamics, scientific computing, the m
e an approximation to the full Navier-Stokes	equations for the steady axially uniform flow of a New
ticular on the formulation of formally exact	equations for three-body scattering and bound state sc
Conservation	equations for the flow of each species (perhaps with t
rdon and the self-induced transparency (SIT)	equations for their multi-soliton solutions and gone o
equation is derived by solving the Einstein	equations for a general time-invariant, spherically sy
Solving	equations for a certain variable.
te separately, he developed the mathematical	equations for the operation of myosin "cross-bridges"
Then Maxwell's	equations for original and perturbed cavities can be u
ven after experiments showed that Einstein's	equations for the photoelectric effect were accurate,
ogrammer to compute needed solutions to some	equations, for a Harvard Business Review paper he was
ictions of behavior different from Maxwell's	equations for light propagation in classical physics.
J.M. and J.W. Hardin, Generalized Estimating	Equations for Longitudinal Panel Analysis in S. Menard
The rate	equations for autocatalytic reactions are fundamentall
ollowed naturally from James Clerk Maxwell's	equations for electromagnetic behavior and, more gener
Dynamic Energy Budget theory to convert the	equations for isomorphs to that for organisms that cha
orebulge is predicted by the solution to the	equations for the flexure of a thin elastic beam or pl
sumption, and more complicated heat transfer	equations for "transient heat conduction" will be requ
-energy tensor, the EFE are understood to be	equations for the metric tensor gμν, as both the Ricci
A history of the subject, and more detailed	equations for g can be found in Khan.
interest, a GCM must solve all the primitive	equations for the atmosphere; but a CTM will be expect
ian interpolation, all to solve differential	equations for astronomical applications.
Thus, the system of	equations for the time evolution of the degrees ki acc
Einstein tensor occurs in the Einstein field	equations for gravitation describing spacetime curvatu
By using the following basic	equations for entropy and Helmholtz free energy, we ca
He also established	equations for the sides and diagonal of Cyclic Quadril
climate models discretise and solve the full	equations for mass and energy transfer and radiant exc
hwarzschild solves the Einstein vacuum field	equations for uncharged spherically-symmetric non-rota
cians have developed formulas and recurrence	equations for computing these numbers and related sequ
Introducing the	equations for [HA] and [A−] into the equation for [H+]
Rules:	equations, formulas, function calls which may include
The Zoeppritz	equations, formulated by the German geophysicist Karl
(almanac) makers still use the formulae and	equations found in the Surya Siddhanta to compile and
submanifolds in Rn and constructing soliton	equations from special submanifolds.
uch that the formation of the Euler-Lagrange	equations from it recovers the required equations.
The above	equations give the radii of the Moon and Sun entirely
first-order differential	equations given as 1-forms) were in general use; by th
into a text editor which allows you to save	equations, graphs, tables, spreadsheets, and text onto
theoretical basis and the applicable Solomon	equations had already been published by Ionel Solomon
Technically, that means certain differential	equations have no nonzero solutions.)
r an algorithm to decide whether Diophantine	equations have a solution.
Moreover these	equations have real rather than imaginary roots, so in
The above	equations have ignored the influence of the spectral l

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「equations」の共起表現一覧(1語右で並び替え)