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Some Related Sentences
related and problem
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Every single
problem touched on thus far
is related to good marketing planning
.
![](/3/static//images/sentence16.png)
Disagreement on
the amount
of productivity increase exacerbates
the problem of agreeing how an increase
in profit margins
related to a productivity increase should be shared
.
![](/3/static//images/sentence16.png)
That
is why it
is so very important that ethical analysis keep clear
the problem of decision as
to `` permitted '' effects, and not draw back
in fright from
any conceivable contingency or suffer paralysis
of action before possibilities or probabilities unrelated, or not directly morally
related,
to what we can and may and must do as long as human history endures
.
![](/3/static//images/sentence16.png)
This
is a serious
problem if one has either a single trade or many
related trades with a single counterparty, whose failure thus poses a threat, or
in the event
of a financial crisis when many counterparties fail
.
![](/3/static//images/sentence16.png)
* Lack
of standards for deferred payments: This
is related to the absence
of a common measure
of value, although if
the debt
is denominated
in units
of the good that will eventually be used
in payment, it
is not a
problem.
![](/3/static//images/sentence16.png)
Greek historian Plutarch discusses an argument between Chrysippus ( 3rd century BCE ) and Hipparchus ( 2nd century BCE )
of a rather delicate enumerative
problem, which was later shown
to be
related to Schröder numbers
.
![](/3/static//images/sentence16.png)
The work factor for breaking Diffie-Hellman
is based on
the discrete logarithm
problem, which
is related to the integer factorization
problem on which RSA's strength
is based
.
![](/3/static//images/sentence16.png)
Comoros also confronted domestically
the problem of the degree
of democracy
the government was prepared
to grant
to its citizens, a consideration that
related to its standing
in the world community
.
![](/3/static//images/sentence16.png)
Integer factorization
is often confused with
the closely
related primality
problem.
![](/3/static//images/sentence16.png)
It
is a challenge
to functionalism and
the computational theory
of mind, and
is related to such questions as
the mind-body
problem,
the problem of other minds,
the symbol-grounding
problem, and
the hard
problem of consciousness
.
![](/3/static//images/sentence16.png)
Over blocking can filter out material that should be acceptable under
the filtering policy
in effect, for example health
related information may unintentionally be filtered along with porn-related material because
of the Scunthorpe
problem.
![](/3/static//images/sentence16.png)
They are also
related to optimization problems, which are concerned with
finding the best answer
to a particular
problem.
![](/3/static//images/sentence16.png)
Ultimately market forces and real needs determine
the selection
of problem solutions and
related technologies, also among those proposed by research
.
![](/3/static//images/sentence16.png)
“ Our author ( Diophantos ) not
the slightest trace
of a general, comprehensive method
is discernible ; each
problem calls for some special method which refuses
to work even for
the most closely
related problems
.
![](/3/static//images/sentence16.png)
Paradoxical versions
of the Epimenides
problem are closely
related to a class
of more difficult logical problems, including
the liar paradox, Russell's paradox, and
the Burali-Forti paradox, all
of which have self-reference
in common with Epimenides
.
![](/3/static//images/sentence16.png)
The
is related to Hilbert's tenth
problem, which asks for an algorithm
to decide whether Diophantine equations have a solution
.
![](/3/static//images/sentence16.png)
Large collections
of " library " software that could be described as being loosely
related to engineering and scientific calculations, such as graphics libraries, have been written
in C, and therefore access
to them presented a portability
problem.
![](/3/static//images/sentence16.png)
One
problem with this explanation and other
related to the schooling
is, as noted above, that
in the US those subsets one would expect
to be affected
the most show
the least increases
.
![](/3/static//images/sentence16.png)
showed that a
related problem ( EUGCD, determining
the remainder sequence arising during
the Euclidean algorithm )
is NC-equivalent
to the problem of integer
linear programming with two variables ; if either
problem is in NC or
is P-complete,
the other
is as well
.
related and linear
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# Closely
related to the ANOVA
is a
linear model fit with coefficient estimates and standard errors
.
![](/3/static//images/sentence16.png)
In addition
to its obvious importance
in geometry and calculus, area
is related to the definition
of determinants
in linear algebra, and
is a basic property
of surfaces
in differential geometry
.
![](/3/static//images/sentence16.png)
* Conjugation
in group theory,
related to matrix similarity
in linear algebra
![](/3/static//images/sentence16.png)
**
the classical Lie groups, namely
the simple groups
related to the projective special
linear, unitary, symplectic, or
orthogonal transformations over a finite field ;
![](/3/static//images/sentence16.png)
To solve a
linear equation with two variables ( unknowns ), requires two
related equations
.
![](/3/static//images/sentence16.png)
Now there are two
related linear equations, each with two unknowns, which lets us produce a
linear equation with just one variable, by subtracting one from
the other ( called
the elimination method ):
![](/3/static//images/sentence16.png)
In each case,
the designation "
linear "
is used
to identify a subclass
of models for which substantial reduction
in the complexity
of the related statistical theory
is possible
.
![](/3/static//images/sentence16.png)
Zero – sum games are most often solved with
the minimax theorem which
is closely
related to linear programming duality, or with Nash equilibrium
.
![](/3/static//images/sentence16.png)
APC
is related to linear predictive coding ( LPC )
in that both use adaptive predictors
.
![](/3/static//images/sentence16.png)
The TOI
is closely
related to the amplifier's " 1 dB compression point ," which
is defined as that point at which
the total coefficient
of the cos ( ωt ) term
is 1 dB below
the linear portion
of that coefficient
.
![](/3/static//images/sentence16.png)
In 2009
the University
of Michigan made
the winning bid for
the Altman archives: approximately 900 boxes
of personal papers, scripts, legal, business and financial records, photographs, props and
related material ;
the total collection measures over 1, 000
linear feet
.
![](/3/static//images/sentence16.png)
Such a formulation
is called an optimization
problem or a mathematical programming
problem ( a term not directly
related to computer programming, but still
in use for example
in linear programming-see History below ).
![](/3/static//images/sentence16.png)
The concept
of linear combinations
is central
to linear algebra and
related fields
of mathematics
.
![](/3/static//images/sentence16.png)
The concept
of a
linear subspace ( or vector subspace )
is important
in linear algebra and
related fields
of mathematics
.
A related notion
of curvature
is the shape operator, which
is a
linear operator from
the tangent plane
to itself
.
![](/3/static//images/sentence16.png)
Since
the tidal force
is linear in Δd,
the related potential
is proportional
to the square
of the variable and for we have
![](/3/static//images/sentence16.png)
Non-linear editing
is the most natural approach when all assets are available as files on video servers or hard disks rather than recordings on reels or tapes, while
linear editing
is related to the need
to sequentially view a film or read a tape
to edit it
.
![](/3/static//images/sentence16.png)
The two writing systems, therefore, are
related, parallel developments, rather than a single
linear one
.
![](/3/static//images/sentence16.png)
* List
of Fourier-related transforms, a list
of linear transformations
of functions
related to Fourier analysis
![](/3/static//images/sentence16.png)
The worldview
of a
linear and non-linear causality generates various
related / conflicting disciplines and approaches
in scientific thinking
.
related and algebra
![](/3/static//images/sentence16.png)
The
algebra multiplication and
the Banach space norm are required
to be
related by
the following inequality:
![](/3/static//images/sentence16.png)
Since
the complex
algebra is responsible for
the striking interference effect
of quantum mechanics, phase
of particles
is therefore ultimately
related to their quantum behavior
.
![](/3/static//images/sentence16.png)
In this basis only and are nonzero, and
the inequality reduces
to the algebra of dot product
in the plane, which
is related to the angle between two vectors, from which we obtain
the inequality:
![](/3/static//images/sentence16.png)
The geometric
problem of angle trisection can be
related to algebra — specifically,
to the problem of finding the roots
of a cubic polynomial — since by
the triple-angle formula,
.
![](/3/static//images/sentence16.png)
There
is another
related Hopf
algebra which
is the dual
of the previous Hopf
algebra.
![](/3/static//images/sentence16.png)
Backward chaining -- Barcan formula -- Biconditional elimination -- Biconditional introduction -- Bivalence and
related laws -- Boolean
algebra ( logic ) -- Boolean
algebra ( structure )
![](/3/static//images/sentence16.png)
The adjoint representation
of a Lie
algebra is related in a fundamental way
to the structure
of that
algebra.
![](/3/static//images/sentence16.png)
More generally, one can consider
the image, kernel, coimage, and cokernel, which are
related by
the fundamental theorem
of linear algebra.
![](/3/static//images/sentence16.png)
* Spanish-words relating
to warfare and tactics, for instance flotilla and guerrilla ; or
related to science and culture, whether coined
in Arabic ( such as
algebra ), origined
in Amerindian civilizations ( Cariban: cannibal, hurricane ; Mescalero: apache ; Nahuatl: tomato, coyote, chocolate ; Quechua: potato ; Taíno: tobacco ), or Iberian Romance languages ( aficionado, albino, alligator, cargo, cigar, embargo, guitar, jade, mesa, paella, platinum, plaza, renegade, rodeo, salsa, savvy, sierra, siesta, tilde, tornado, vanilla etc .).
![](/3/static//images/sentence16.png)
Closely
related are certain dual objects, also Hopf algebras and also called quantum groups, deforming
the algebra of functions on
the corresponding semisimple algebraic group or a compact Lie group
.
![](/3/static//images/sentence16.png)
* Linear
algebra – a study
of related linear equations
![](/3/static//images/sentence16.png)
In mathematics,
the group
algebra is any of various constructions
to assign
to a locally compact group an operator
algebra ( or more generally a Banach
algebra ), such that representations
of the algebra are
related to representations
of the group
.
![](/3/static//images/sentence16.png)
Chern – Simons theory
is a gauge theory, which means that a classical configuration
in the Chern – Simons theory on M with gauge group G
is described by a principal G-bundle on M
. The connection
of this bundle
is characterized by a connection one-form
A which
is valued
in the Lie
algebra g
of the Lie group G
. In general
the connection
A is only defined on individual coordinate patches, and
the values
of A on different patches are
related by maps known as gauge transformations
.
![](/3/static//images/sentence16.png)
In ring theory and
related areas
of mathematics a central simple
algebra ( CSA ) over a field K
is a finite-dimensional associative
algebra A, which
is simple, and for which
the center
is exactly K
. In other words,
any simple
algebra is a central simple
algebra over its center
.
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