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Page "M-theory" ¶ 12
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implies and IIA
IIA implies that adding another alternative or changing the characteristics of a third alternative does not affect the relative odds between the two alternatives considered.
But IIA implies that this is not the case: for the odds ratio between car and red bus to be preserved, the new probabilities must be: car 0. 33 ; red bus 0. 33 ; blue bus 0. 33.

implies and string
In the case of string field theory, this implies that a classical configuration, usually called the string field, is given by an element of the free string Fock space.
A magnetic monopole implies a mathematical singularity in the vector potential, which can be expressed as a Dirac string of infinitesimal diameter that contains the equivalent of all of the 4πg flux from a monopole " charge " g. The Dirac string starts from, and terminates on, a magnetic monopole.
The definition of the Myhill – Nerode relation implies that the transition function is well-defined: no matter which representative string x is chosen for state X, the same transition function value will result.
A state of this automaton is accepting if the corresponding equivalence class contains a string in L ; in this case, again, the definition of the relation implies that all strings in the same equivalence class must also belong to L, for otherwise the empty string would be a distinguishing string for some pairs of strings in the class.
This implies that the closed bosonic string compactified on a radius is equivalent to the theory with radius.
This implies that if our machine accepts x, it must also accept the string of ' a's followed by ' b's, which is not in the language of strings containing an equal number of ' a's and ' b's.
Because string theory implies that the Universe has more dimensions than we expect — 26 for bosonic string theories and 10 for superstring theories — we have to find a reason why the extra dimensions are not apparent.
The fact that T-duality interchanges the usual Neumann boundary conditions with Dirichlet boundary conditions was discovered independently by Horava and by Dai, Leigh, and Polchinski in 1989 ; this result implies that such boundary conditions must necessarily appear in regions of the moduli space of any open string theory.
The Dirac string acts as the solenoid in the Aharonov-Bohm effect, and the requirement that the position of the Dirac string should not be observable implies the Dirac quantization rule: the product of a magnetic charge and an electric charge must always be an integer multiple of.
This ' relict stress ' theory implies that the ringing rock boulders act much like a guitar string.
The required cancellation implies that the spacetime dimensionality must be equal to the critical dimension which is either 26 in the case of bosonic string theory or 10 in the case of superstring theory.

implies and theory
" Thus Boolos and Jeffrey are saying that an algorithm implies instructions for a process that " creates " output integers from an arbitrary " input " integer or integers that, in theory, can be chosen from 0 to infinity.
For example, while the axiom of choice implies that there is a well-ordering of the real numbers, there are models of set theory with the axiom of choice in which no well-ordering of the reals is definable.
In constructive set theory, however, Diaconescu's theorem shows that the axiom of choice implies the law of the excluded middle ( unlike in Martin-Löf type theory, where it does not ).
He argues that this casts doubt on the notion that recessions are caused by a reallocation of resources from industrial production to consumption, since he argues that the Austrian business cycle theory implies that net investment should be below zero during recessions.
The inability to comprehend any aspect of the thing other than its properties implies, this argument maintains, that one cannot conceive of a bare particular ( a substance without properties ), an implication that directly opposes substance theory.
Someone on the inside of a hollow Earth would not experience a significant outward pull and could not easily stand on the inner surface ; rather, the theory of gravity implies that a person on the inside would be nearly weightless.
* While the theory correctly reasons that deflection implies that there must be a force on the wing, it does not explain why the air is deflected.
There are exceptions within subjectivism however, such as ideal observer theory, which implies that moral facts may be known through a rational process, and individualist ethical subjectivism, which holds that moral facts are merely personal opinions and so may be known only through introspection.
This implies that there are really only three superstring theories, which might be called ( for discussion ) the Type I theory, the Type II theory, and the heterotic theory.
" He argues this " implies that any conceivable parallel universe theory can be described at Level IV " and " subsumes all other ensembles, therefore brings closure to the hierarchy of multiverses, and there cannot be say a Level V ."
As for the objection [...] that the distance between two distinct real numbers cannot be infinitely small, G. W. Leibniz argued that the theory of infinitesimals implies the introduction of ideal numbers which might be infinitely small or infinitely large compared with the real numbers but which were to possess the same properties as the latter.
An example of a naturalistic fallacy in this sense would be to conclude Social Darwinism from the theory of evolution by natural selection, and of the reverse naturalistic fallacy to argue that the amorality of survival of the fittest implies the theory of evolution is false.
By the two-seed theory, the embryo is not conceived unless the male and female seed meet: this implies a bilineal, or cognatic, theory of relationship.
The quantum mechanics of strings implies these oscillations exist in discrete vibrational modes, the spectrum of the theory.
" Since these sentences are never assigned either truth or falsehood even if the process is carried out infinitely, Kripke's theory implies that some sentences are neither true nor false.
Chapter VI begins by saying the next three chapters will address possible objections to the theory, the first being that often no intermediate forms between closely related species are found, though the theory implies such forms must have existed.

implies and can
He shows how a satisfying argument for the validity of experience can be based neither on demonstration ( since " it implies no contradiction that the course of nature may change ") nor experience ( since that would be a circular argument ).
As ought implies can, Kant argued, it must be possible for the summum bonum to be achieved.
This implies that fungal organisms can differentiate between molecules taking part in biotic messages and similar molecules being irrelevant in the situation.
The word video in video game traditionally referred to a cathode ray tube ( CRT ) display device, but it now implies any type of display device that can produce two or three dimensional images.
The Rayleigh Criterion implies that a thermoacoustic instability can be optimally controlled by having heat release oscillations 180 degrees out of phase with pressure oscillations at the same frequency.
A low interest rate implies that firms can loan money to invest in their capital stock and pay less interest for it.
As the name implies, comic strips can be humorous ( for example, " gag-a-day " strips such as Blondie, Bringing Up Father, Marmaduke and Pearls Before Swine ).
In British English, it is generally accepted that collective nouns can take either singular or plural verb forms depending on the context and the metonymic shift that it implies.
This implies that square wheels can roll perfectly smoothly if the road has evenly spaced bumps in the shape of a series of inverted catenary curves.
This implies that the partial derivatives of u and v exist ( although they need not be continuous ) and we can approximate small variations of f linearly.
which can be seen to hold for all integers k, together with Euler's formula, implies several trigonometric identities as well as de Moivre's formula.
* the inner product implies notions of angle and distance, which can be used to define rotation.
Another advantage of FIR filters is that their impulse response can be made symmetric, which implies a response in the frequency domain which has zero phase at all frequencies ( not considering a finite delay ), which is absolutely impossible with any IIR filter.
The term implies acquisition of information by means external to the basic limiting assumptions of science, such as that organisms can only receive information from the past to the present.
While flaming can occur as a result of legitimate debates or grievances, flame trolling implies the intentional posting of inflammatory, grossly offensive or menacing rhetoric or images for the fun of it in order to cause others harm.
This implies that if the original map can not be colored with four colors the smaller map can't either and so the original map is not minimal.
For example, it implies the existence of black holes — regions of space in which space and time are distorted in such a way that nothing, not even light, can escape — as an end-state for massive stars.
This is an immediate consequence of the completeness theorem, because only a finite number of axioms from Γ can be mentioned in a formal deduction of φ, and the soundness of the deduction system then implies φ is a logical consequence of this finite set.
Parameterization implies the ability to modify certain portions or subsections of a transcluded text depending on exogenous variables that can be changed independently.
* Heaven, a 2002 film that implies heaven can be reached the higher up one goes ( in the film's case, in a helicopter ).
The book states that "... if some people think that his compassion and gentleness in this respect implies he was against Humane Vitae one can only infer it was wishful thinking on their part and an attempt to find an ally in favor of artificial contraception.
This implies that helium-3 can overcome dipole-dipole interaction with less thermal energy than helium-4 can.
It also implies that one party of a transaction cannot deny having received a transaction nor can the other party deny having sent a transaction.

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