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formalize and these
Sometimes the name " Heterocera " is used for moths while the term " Rhopalocera " is used for butterflies to formalize the popular distinction ; these, however, have no taxonomic validity.
In time, however, these arrangements began to formalize and become permanent.
The programmer's task is to take these heuristics, formalize them into computer code, and utilize pattern matching and pattern recognition algorithms to recognize when these rules apply.
The Roman Emperor Constantine I initiated a series of Ecumenical Councils, also known as the First seven Ecumenical Councils, to try to formalize these doctrines.
Since the direction of the PCB remained rigidly faithful to Moscow, a division of Mao with the rest of the communist movement has attracted the sympathy of PCdoB, who sent emissaries to Beijing to formalize the ideological link with the new ideological guidelines of the Communist Party of China, Among these messengers, was the party's exiled former president, Joao Amazonas, who was received by Mao Tse Tung.
Much later, the scientific discipline of anthropology would formalize the methods of ethnography as a scientific research strategy for documenting the beliefs, behavior, social roles and relationships, and worldview of another culture, and for explaining these factors with reference to the logic of that culture.

formalize and concepts
Presburger arithmetic cannot formalize concepts such as divisibility or prime number.
In his " Feasibly Constructive Proofs and the Propositional Calculus " paper published in 1975, he introduced the equational theory PV ( standing for Polynomial-time Verifiable ) to formalize the notion of proofs using only polynomial-time concepts.
The same concepts are known in more general mathematics as stochastic convergence and they formalize the idea that a sequence of essentially random or unpredictable events can sometimes be expected to settle down into a behaviour that is essentially unchanging when items far enough into the sequence are studied.
Effort to formalize and clarify the semantics of an expression in languages is closely related to identify and locate the intended semantics which underlie the superficial expression in the form of notations of concepts and concept models.

formalize and let
To formalize it we need to say: let T be a linear operator defined on a family F of functions that is dense in both and ( for example, the family of all simple functions ).

formalize and represent
Syntax uses principles of formal logic and Set Theory to formalize and represent accurately the hierarchical relationship between elements in a sentence.

formalize and be
Certain types of rules or customs may become law and regulatory legislation may be introduced to formalize or enforce the convention ( for example, laws that define on which side of the road vehicles must be driven ).
The extensive form can be used to formalize games with a time sequencing of moves.
Many-valued logics formalize ideas that a realistic characterization of the notion of consequence requires the admissibility of premises which, owing to vagueness, temporal or quantum indeterminacy, or reference-failure, cannot be considered classically bivalent.
In accordance with the intention to formalize UNIP supremacy in the new system, the constitution stipulated that the sole candidate in elections for the office of president was the person selected to be the president of UNIP by the party's general conference.
Sparta is thought to be the first city to practice athletic nudity, and some scholars claim that it was also the first to formalize pederasty.
Timbre researchers consider brightness to be one of the perceptually strongest distinctions between sounds, and formalize it acoustically as an indication of the amount of high-frequency content in a sound, using a measure such as the spectral centroid.
The property D ( φ ) that a formula φ of ZFC defines a unique real number is not itself expressible in ZFC, but must be studied in the metatheory used to formalize ZFC.
If no candidate can be found within this time then it is the duty of the President of the National Assembly of Thailand to submit the name considered most worthy for the King to formalize.
Logics formalizing default reasoning can be roughly divided in two categories: logics able to deal with arbitrary default assumptions ( default logic, defeasible logic / defeasible reasoning / argument ( logic ), and answer set programming ) and logics that formalize the specific default assumption that facts that are not known to be true can be assumed false by default ( closed world assumption and circumscription ).
The service contract needs to be documented to formalize the required processing resources by the individual service capabilities.
seems to be against it, and the Spur members are asked to formalize their position so it can be brought to a vote.
In other words, a formula must be added to formalize the implicit assumption that loading the gun only changes the value of and not the value of.

these and concepts
One is tempted to say that, on the difference between the concepts of sovereignty in these two preambles, the worst war of the Nineteenth century was fought.
in working with these patients the therapist eventually gets to do some at least private mulling over of the possible meaning of a belch, or the passage of flatus, not only because he is reduced to this for lack of anything else to analyze, but also because he learns that even these animal-like sounds constitute forms of communication in which, from time to time, quite different things are being said, long before the patient can become sufficiently aware of these, as distinct feelings and concepts, to say them in words.
But, up to now, no one has attempted to analyze its inherent mathematical properties, or the numerical significance of its numbers -- singly or in combination -- and then tried to consider these in the light of Old Chinese cosmological concepts.
Mahayana Buddhism was no exception to these prevailing magical concepts.
He published numerous books on these concepts, all set in a distinctive typography.
A series of memos from Bob Belleville clarified these concepts, outlining the Mac, LaserWriter and a file server system which would become Macintosh Office.
' For example, Tagore's idea of these two concepts should be way above any common man's and many perceive Tagore as a ' Mahana ' Artist in the realm of literature.
While the greatest players of the time, among them Alekhine, Emanuel Lasker and Capablanca, clearly did not allow their play to be hobbled by blind adherence to general concepts that the center had to be controlled by pawns, that development had to happen in support of this control, that rooks always belong on open files, that wing openings were unsound — core ideas of Tarrasch's chess philosophy as popularly understood — beginners were taught to think of these generalizations as unalterable principles.
The first of these scientific concepts of acids and bases was provided by the French chemist Antoine Lavoisier, circa 1776.
But these are physical representations of the corresponding mathematical entities ; the line and the curve are idealized concepts whose width is 0 ( see Line ).
During and after the First World War, these concepts were further developed by generals, such as Oskar von Hutier and the Reichswehr.
Following the First World War, these concepts were modified by the Reichswehr.
The impact Roman law had decreased sharply after the age of Bracton, but the Roman divisions of actions into in rem ( typically, actions against a thing or property for the purpose of gaining title to that property ; must be filed in a court where the property is located ) and in personam ( typically, actions directed against a person ; these can affect a person's rights and, since a person often owns things, his property too ) used by Bracton had a lasting effect and laid the groundwork for a return of Roman law structural concepts in the 18th and 19th centuries.
To offer an example of these concepts, O ' Flaherty makes use of " one of the oldest reasons why cities were built: military protection ".
However, although these early writers contributed greatly to the philosophical discovery of mind and this would ultimately lead to the development of psychology, they were working with an entirely different set of tools and core concepts than those of the cognitive scientist.
Category theory is an area of study in mathematics that examines in an abstract way the properties of particular mathematical concepts, by formalising them as collections of objects and arrows ( also called morphisms, although this term also has a specific, non category-theoretical meaning ), where these collections satisfy some basic conditions.
The convergence of these two distinct healing traditions and their common practitioners ' own inventiveness have led to an ever-changing and expanding array of concepts in the western world.
He called these concepts categories, in the sense of the word that means predicate, attribute, characteristic, or quality.
The existing terms and structures available to them were often insufficient to express these new set of religious concepts, and taken together, these new forms of discourse led to the beginnings of Christology as an attempt to understand, explain and discuss their understanding of the nature of Christ.
# As a result of interaction with the environment, and particularly as a result of evaluational interaction with others, the structure of the self is formed-an organized, fluid but consistent conceptual pattern of perceptions of characteristics and relationships of the " I " or the " me ", together with values attached to these concepts.
The same concept is true for ethics and religion, as these concepts are at their core biological and evolutionary.
This meant to look at these concepts from the standpoint of the paradigm of critical psychology, thereby integrating their useful insights into critical psychology while at the same time identifying and criticizing their limiting implications while ( which in the case of S – R psychology were the rhetorical elimination of the subject and intentional action, and in the case of cognitive psychology which did take into account subjective motives and intentional actions, methodological individualism ).

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