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It relies on the presumed difficulty of factoring certain polynomials in such rings into a quotient of two polynomials having very small coefficients.
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relies and on
For all these points he relies exclusively on Berle and Means's study of 1932, The Modern Corporation And Private Property.
Moreover, the diabetic patient who relies on cure by the quack device and therefore cuts off his insulin intake can be committing suicide.
The tsunami-warning system developed since the 1946 disaster in Hawaii relies mainly on a simple and ingenious instrument devised by Commander C. K. Green of the Coast and Geodetic Survey staff.
Despite extensive oil and gas resources, diamonds, hydroelectric potential, and rich agricultural land, Angola remains poor, and a third of the population relies on subsistence agriculture.
According to Roy Andrew Miller ( 1996: 98-99 ), the Clauson – Doerfer critique of Altaic relies exclusively on lexicon, whereas the fundamental evidence for Altaic consists in verbal morphology.
Because there is no canonical well-ordering of all sets, a construction that relies on a well-ordering may not produce a canonical result, even if a canonical result is desired ( as is often the case in category theory ).
The restriction to ZF renders any claim that relies on either the axiom of choice or its negation unprovable.
This is an anchor which relies solely on being a heavy weight.
They are said to go back at least to the Greek poet Lycophron, in the third century BCE ; but this relies on an account of Lycophron given by John Tzetzes in the 12th century.
He has a ship that can be rolled up like a tablecloth when not used, he relies on two talking ravens to gather intelligence, and he consults the talking head of a dwarf for prophecy ( he carries it around long since detached from its body ) ( Section 7 ).
Because of its ( relatively ) economically isolated location, Alberta relies heavily on transportation links with the rest of the world.
Hindu astrology relies on the sidereal zodiac in which the signs of the zodiac are aligned to the position of the corresponding constellations in the sky.
For instance, the Northwest relies on local seafood, while in the South, Mexican flavors are extremely common.
That the algebra of the real numbers can be employed to yield results about the linear continuum of geometry relies on the Cantor – Dedekind axiom.
The reasoning for rejecting Athanasius as the author usually relies on a combination of the following:
It requires standards with known analyte content to establish the relation between the measured absorbance and the analyte concentration and relies therefore on the Beer-Lambert Law.
Given the complexity of the calculations involved and the convoluted structure that a convertible bond can have, an arbitrageur often relies on sophisticated quantitative models in order to identify bonds that are trading cheap versus their theoretical value.
If the candidate relies on sponsors, the celebrant asks them if they will raise the child in " the Christian faith and life " ( ECUSA BCP ), and will raise the child through " prayers and witness to grow into the full stature of Christ " to which the parents will state to each, " I will, with God's help.
The industry now relies on contract agreements with European firms and attracting foreign investment.
More than 80 % of the population relies on subsistence agriculture, with only a small fraction directly involved in industry and services.
The antithesis of this would be a team that relies on power hitting.
However, because it relies on lack of concentration or discipline by the batsman, it can be risky against patient and skilled players, especially batsmen who are strong on the leg side.
The framework for the Big Bang model relies on Albert Einstein's general relativity and on simplifying assumptions such as homogeneity and isotropy of space.
relies and presumed
It is presumed not to have methylmercury's ability to cross the blood – brain barrier via a transporter, but instead relies on simple diffusion to enter the brain.
relies and difficulty
relies on the similar and related high level of difficulty of the discrete logarithm problem, as does the closely related DSA, which was developed at the US National Security Agency ( NSA ) and published by NIST as a proposed standard.
The security of quantum key distribution relies on the foundations of quantum mechanics, in contrast to traditional key distribution protocol which relies on the computational difficulty of certain mathematical functions, and cannot provide any indication of eavesdropping or guarantee of key security.
The difficulty of many brain teasers relies on a certain degree of fallacy in human intuitiveness.
The security of S / KEY relies on the difficulty of reversing cryptographic hash functions.
Deep-water soloing ( DWS ) ( also known as psicobloc ) is a form of solo rock climbing, practiced on sea cliffs at high tide, that relies solely upon the presence of water at the base of a climb to protect against injury from the generally high difficulty routes.
relies and certain
Postmodernism relies on concrete experience over abstract principles, arguing that the outcome of one's own experience will necessarily be fallible and relative, rather than certain or universal.
In shifting the debate from " what is true " to " of what can I be certain ?," Descartes shifted the authoritative guarantor of truth from God to Man ( While traditional concept of " truth " implies an external authority, " certainty " instead relies on the judgement of the individual Man ).
Consequently, upon the decline of subsistent importance, Taiwan's agriculture now relies heavily on the marketing and exportation of certain kinds of specialty fruits, such as banana, guava, lychee, wax apple, and high-mountain tea.
A more logical approach to dividing words into classes relies on recognizing which words can be used in a certain context.
It relies on a certain theorem valid for all regions of acceptability and all Gaussian distributions.
The efficiency of NA relies on information theory and a certain theorem of efficiency.
Stealth technology relies on shapes which only reflect radar waves in certain directions, thus making the aircraft hard to detect unless the radar receiver is at a specific position relative to the aircraft-a position that changes continuously as the aircraft moves.
For certain applications, “ distributed ” or “ grid ” computing, can be seen as a special type of parallel computing that relies on complete computers ( with onboard CPUs, storage, power supplies, network interfaces, etc.
The second method relies on sampling points from the data set that exceeds a certain threshold ( falls below a certain floor ).
The whole plot of Look to Windward relies on a Hub Mind not reading an agent's mind ( with certain precautions in case this rule gets violated ).
C ++ exemplifies another extreme: it relies heavily on templates and overloading and other static bindings at compile-time, which in turn has certain flexibility problems.
Wantzel's proof relies on ideas from the field of Galois theory — in particular, trisection of an angle corresponds to the solution of a certain cubic equation, which is not possible using the given tools.
Stealth technology relies on shapes which only reflect radar waves in certain directions, thus making the aircraft hard to detect unless the radar receiver is at a specific position relative to the aircraft-a position that changes continuously as the aircraft moves.
Instead, modern meteorite classification relies on placing specimens into " groups " in which all members share certain key physical, chemical, isotopic, and mineralogical properties consistent with a common origin on a single parent body, even if that body is unidentified.
The phenomenon relies on the common " spillover " effect ( described below ), where certain adsorbed species exhibit high mobility on some surfaces.
Foundationalism relies on the claim that it is not necessary to ask for justification of certain propositions, or that they are self-justifying.
The power of the Labor Right varies from state to state, but it usually relies on certain trade unions, such as the Australian Workers Union and the Shop Distributive and Allied Employees Association which send factionally aligned delegates to conference and also from ordinary party members with right wing alliance.
The diagnosis of harlequin ichthyosis relies on physical examination and certain laboratory examinations including:
Therefore, it is still not clear in exactly which situations the fusiform gyrus becomes active, although it is certain that face recognition relies heavily on this area and damage to it can lead to severe face recognition impairment.
The study of archaeological findings of boards usually relies on the assumption that boards having a square hole in a certain position ( that of the nyumba, see below ) are associated to Bao, as it is the only known mancala to have such feature.
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