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In theory, real-mode applications could be directly executed in 16-bit protected mode if certain rules were followed ; however, as many DOS programs broke those rules, protected mode was not widely used until the appearance of its successor, the 32-bit Intel 80386, which was designed to go back and forth between modes easily.
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theory and applications
His mathematical specialties were noncommutative ring theory and computational algebra and its applications, including automated theorem proving in geometry.
Informal applications of set theory in other fields are sometimes referred to as applications of " naive set theory ", but usually are understood to be justifiable in terms of an axiomatic system ( normally the Zermelo – Fraenkel set theory ).
Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probability theory, topology, and geometry, and combinatorics also has many applications in optimization, computer science, ergodic theory and statistical physics.
In part, the growth was spurred by new connections and applications to other fields, ranging from algebra to probability, from functional analysis to number theory, etc.
Some, such as computational complexity theory, which studies fundamental properties of computational problems, are highly abstract, while others, such as computer graphics, emphasize real-world applications.
Some fields, such as computational complexity theory ( which explores the fundamental properties of computational problems ), are highly abstract, whilst fields such as computer graphics emphasise real-world applications.
These foundational applications of category theory have been worked out in fair detail as a basis for, and justification of, constructive mathematics.
Categorical logic is now a well-defined field based on type theory for intuitionistic logics, with applications in functional programming and domain theory, where a cartesian closed category is taken as a non-syntactic description of a lambda calculus.
This duality, which is transparent at the level of category theory, is often obscured in applications and can lead to surprising relationships.
There are two major divisions in control theory, namely, classical and modern, which have direct implications over the control engineering applications.
Yet, due to easier physical implementation of classical controller designs as compared to systems designed using modern control theory, these controllers are preferred in most industrial applications.
Other applications include a theory of personality, interpersonal relations, education, nursing, cross-cultural relations and other " helping " professions and situations.
Expander constructions have spawned research in pure and applied mathematics, with several applications to complexity theory, design of robust computer networks, and the theory of error-correcting codes.
In information theory and coding theory with applications in computer science and telecommunication, error detection and correction or error control are techniques that enable reliable delivery of digital data over unreliable communication channels.
Finite fields have applications in many areas of mathematics and computer science, including coding theory, LFSRs, modular representation theory, and the groups of Lie type.
theory and could
What with traders trading for so many different objectives, and what with there being so many unique and individualized market theories and trading techniques in use, and more coming into use all the time, it is hard to imagine how any particular theory or technique could acquire enough `` fans '' to invalidate itself.
A state, the highest form of human organization in fact and theory, could be subjected to Law only by a manifestation of self-will, or consent.
It appeared that the theory could be saved in one way only.
Corpuscularianism is similar to the theory of atomism, except that where atoms were supposed to be indivisible, corpuscles could in principle be divided.
This list could be expanded to include most fields of mathematics, including measure theory, ergodic theory, probability, representation theory, and differential geometry.
For referring specifically to a U. S. national and things, the words used are estadunidense ( also spelled estado-unidense ) ( United States person ), from Estados Unidos da América, and ianque ( Yankee ), but the term most often used is norte-americano, even though it could, as with its Spanish equivalent, in theory apply to Canadians, Mexicans, etc., as well.
There is no documented evidence for this theory, however, and, the word liti was probably borrowed from 16th-18th century writings in Latin, where the word lituus could describe various wind instruments, such as the horn, the crumhorn, or the cornett.
In theory, Alexei could have refused the marriage, and he had been encouraged by his father to at least meet his intended.
This text clarified the concept of an element as a substance that could not be broken down by any known method of chemical analysis, and presented Lavoisier's theory of the formation of chemical compounds from elements.
In theory the system could support the Z80 and the 8086 simultaneously.
In three papers which were published in 1952 – 53, Bohr and Mottelson demonstrated close agreement between theory and experiment ; for example, showing that the energy levels of certain nuclei could be described by a rotation spectrum.
In 1929, Mojżesz Presburger showed that the theory of natural numbers with addition and equality ( now called Presburger arithmetic in his honor ) is decidable and gave an algorithm that could determine if a given sentence in the language was true or false.
Inflation and baryogenesis remain more speculative features of current Big Bang models: they explain important features of the early universe, but could be replaced by alternative ideas without affecting the rest of the theory.
A major modification to Noth's theory was made in 1973 by the American scholar Frank M. Cross, to the effect that two editions of the history could be distinguished, the first and more important from the court of king Josiah in the late 7th century, and the second Noth's 6th century Exilic history, and other scholars have detected many more authors / editors than either Noth or Cross allowed for.
Jacobs does not lend her theory to any reasonably strict definition of a city, but her account suggestively or vaguely contrasts what could be thought of as primitive city-like activity to the activity occurring in neighboring hunter-gatherer settlements.
However, one could equally well lay out a consequentialist theory that focuses solely on minimizing bad consequences.
The completeness of quantum mechanics ( thesis 1 ) was attacked by the Einstein-Podolsky-Rosen thought experiment which was intended to show that quantum physics could not be a complete theory.
This calculation convinced the scientific community that quantum theory could give agreement with experiment.
In theory, the pope could substitute another body of electors for the College of Cardinals.
While Ricardo accepted Smith's labour theory of value, he acknowledged that utility could influence the price of some rare items.
The theory was that mixed forces comprising these diverse units could utilise the strengths of each according to circumstances.
The theory that the word originated as an acronym from the names of the group of ministers is a folk etymology, although the coincidence was noted at the time and could possibly have popularized its use.
Although Story was highly intelligent and familiar with all the relevant English precedents, he merely summarized them in a confused fashion because he " could not conceive of a modern function or a coherent theory for representative litigation: why?
theory and be
What is the history of criticism but the history of men attempting to make sense of the manifold elements in art that will not allow themselves to be reduced to a single philosophy or a single aesthetic theory??
Accordingly, it is the aim of this essay to advance a new theory of imitation ( which I shall call mimesis in order to distinguish it from earlier theories of imitation ) and a new theory of invention ( which I shall call symbol for reasons to be stated hereafter ).
To guard against the tyranny of a numerical majority, Calhoun developed his theory of `` concurrent majority '', which, he said, `` by giving to each portion of the community which may be unequally affected by the action of government, a negative on the others, prevents all partial or local legislation ''.
Analogously, anyone who argues that Einstein's theory of gravitation is simpler than Newton's, must say rather more to explain how it is that the latter is mastered by student-physicists, while the former can be managed ( with difficulty ) only by accomplished experts.
The Axioms required to make the theoretical machinery operate are set out tersely and powerfully, so that all permissible operations within the theory can be traced rigorously back to these axioms, rules, and primitive notions.
In his study Samuel Johnson, Joseph Wood Krutch takes this line when he says that what Aristotle really means by his theory of catharsis is that our evil passions may be so purged by the dramatic ritual that it is `` less likely that we shall indulge them through our own acts ''.
Sample areas in the new investigations were selected strictly by application of the principles of probability theory, so as to be representative of the total population of defined areas within calculable limits.
We should expect that general phonologic theory should be as adequate for tone as for consonants and vowels, but it has not been.
This can only be for one of two reasons: either the two are quite different and will require totally different theory ( and hence techniques ), or our existing theories are insufficiently general.
Thus while his theory or technique may not be oversubscribed, it is commonplace for bullish and bearish positions to become temporarily over-subscribed.
In this connection, it might be noted that the theory of games was a mathematical discovery long before its uses in political science were exploited.
On the theory before us, such relief would be groundless, for in that suffering itself there was nothing bad at all, and hence in its nonoccurrence there would be nothing to be relieved about.
Once many significant phrases are found in theory or in recurrent practice to provide for prosodic necessity, they are not to be defended for their semantic properties in isolated contexts.
In the second-order theory, one of the normal stress differences can be calculated from the first-order stress relaxation function.
But then this theory confesses that it is completely at a loss as to how the image can possibly be received by the brain.
This theory makes it possible for any event throughout eternity to be continuously available at any moment to consciousness.
( P. 215 ) when corporate abuses were attacked, it was done on the theory that criminal penalties would be invoked rather than control.
Thus, while altruistic persons may under some circumstances be outcompeted by less altruistic persons at the individual level, according to group selection theory the opposite may occur at the group level where groups consisting of the more altruistic persons may outcompete groups consisting of the less altruistic persons.
Tylor also theorized about the origins of religious beliefs in human beings, proposing a theory of animism as the earliest stage, and noting that " religion " has many components, of which he believed the most important to be belief in supernatural beings ( as opposed to moral systems, cosmology, etc .).
The exact number and placement of Endosymbiotic theory | endosymbiotic events is currently unknown, so this diagram can be taken only as a general guide It represents the most parsimonious way of explaining the three types of endosymbiotic origins of plastids.
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