From these axioms, it can be proved that there is exactly one identity morphism for every object.

From axioms 1 through 4, Gödel argued that in some possible world there exists God.

From these axioms, two easy and convenient properties follow:

From these two axioms, it follows that for every g in G, the function which maps x in X to g · x is a bijective map from X to X ( its inverse being the function which maps x to g < sup >− 1 </ sup >· x ).

From the Kolmogorov axioms, one can deduce other useful rules for calculating probabilities.

From this, and a few other axioms, Kant developed a moral system that would apply to any " praiseworthy person.

From these axioms, one can prove that there is exactly one identity morphism for every object.

From a given set of axioms, synthesis proceeds as a carefully constructed logical argument.

From these axioms, certain general theorems follow:

From the point of view of synthetic geometry it was considered that projective geometry should be developed using such propositions as axioms.

From this Poincaré argues that if we fail to establish the consistency of Peano's axioms for natural numbers without falling into circularity, then the principle of complete induction is not provable by general logic.

From these axioms Mally deduced 35 theorems, many of which he rightly considered strange.

From the coil small copper pipes connect to a weatherproof refrigeration section set in the yard, garage, carport, or basement.

Hollywood films such as From This Day Forward ( 1946 ), set in Highbridge, occasionally delved into Bronx life.

From the beginning of each playing period with a stroke-off ( a set strike from the centre-spot by one team ) until the end of the playing period, the ball is in play at all times, except when either the ball leaves the field of play, or play is stopped by the referee.

From this it follows that the set of complements of the problems in NP is a subset of the set of complements of the problems in co-NP, i. e., co-NP is a subset of NP.

From the very beginning of mapmaking, maps " have been made for some particular purpose or set of purposes ".

From there one can pay professional advisors to set up IBCs ( International Business Corporations, or corporations with anonymous ownership ) or similar structures in OFCs ( Offshore Financial Centers ).

In 1971, American novelist Frank Yerby published The Man From Dahomey, a historical novel set partially in Dahomey.

From the 5th century onward this cycle set its equinox to 25 March and fixed Easter to the Sunday falling in the 14th to the 20th of the lunar month inclusive.

From 1920 to 1945, Estonia's border with Russia, set by the 1920 Tartu Peace Treaty, extended beyond the Narva River in the northeast and beyond the town of Petseri in the southeast.

From the quantum phenomena it appears to follow with certainty that a finite system of finite energy can be completely described by a finite set of numbers ( quantum numbers ).

From 1981 onwards, a newly-constructed set of high-speed LGV ( Lignes à Grande Vitesse ) lines linked France's most populous areas with the capital, starting with Paris-Lyon.

From 1905, Cantor corresponded with his British admirer and translator Philip Jourdain on the history of set theory and on Cantor's religious ideas.

From 1918, camp-type detention facilities were set up, as a reformed analogy of the earlier system of penal labor ( katorgas ), operated in Siberia in Imperial Russia.

From his Vila do Infante in 15th Century Portuguese, Estate or Town of the Prince on the Sagres peninsula located at the south-westernmost point of Iberia and with sea access to both the Atlantic and the Mediterranean, Henry sponsored voyages down the coast of Africa, sailing as far as Guinea, that were primarily exploration expeditions, later on bringing back to the nearby town of Lagos, from whence they set out, numerous African slaves and goods.

From an algebraic point of view, the set of holomorphic functions on an open set is a commutative ring and a complex vector space.

From Tolkien to the modern day, authors in this genre tend to create their own worlds where they set multi-tiered narratives such as the Belgariad, Malloreon, Wheel of Time, Malazan Book of the Fallen, The Black Company, The Sword of Truth, A Song of Ice and Fire, and Memory, Sorrow, and Thorn.

From the 1990s onwards a growing number of European Improv groups have been set up specifically to explore the possibilities offered by the use of the abstract in improvised performance, including dance, movement, sound, music, mask work, lighting, and so on.

From the south his magister peditum Barbatio was to come from Milan and amass forces at Augst ( near the Rhine bend ), then set off north with 25, 000 soldiers ; Julian with 13, 000 troops would move east from Durocortorum ( Reims ).

From that year until 1810, the island was in charge of officials appointed by the French Government, except for a brief period during the French Revolution, when the inhabitants set up a government virtually independent of France.

From Elim they set out again and after 45 days they reached the wilderness of Sin between Elim and Sinai.

From the 1980s onwards, however, an academic reaction set in, especially in France.

From the first PDP-6's to the Model A KL-10s, the user-mode instruction set architecture was largely the same.

From a reverse waist lock set from the front, and staying with hips close to the opponent, the athlete lifts and rotates his opponent using the strength of his hips and legs ( ἀναβαστάσαι εἰς ὕψος — anabastasai eis hypsos, " high lifting ").

From about 1955 he started to work on sheaf theory and homological algebra, producing the influential " Tôhoku paper " ( Sur quelques points d ' algèbre homologique, published in 1957 ) where he introduced Abelian categories and applied their theory to show that sheaf cohomology can be defined as certain derived functors in this context.

From the beginning of Communist rule in 1949, until the 1980s, when China was in the early years of economic reform, the focus was largely on peasant life, as interpreted via the officially sanctioned Marxist theory of class struggle.

From this perspective, much literary critical theory, since it is focused on interpretation and explanation rather than on social transformation, would be regarded as positivistic or traditional rather than critical theory in the Kantian or Marxian sense.

From this idea the dual inheritance theory is based, and in this theory biology and the arts work together to explain the growth of human behavior.

From the 1960s, however, such comments abated as the economic theory of maximizing behavior and rational-choice modeling expanded the domain of the subject to areas previously treated in other fields.

From a classical perspective, the electromagnetic field can be regarded as a smooth, continuous field, propagated in a wavelike manner ; whereas from the perspective of quantum field theory, the field is seen as quantized, being composed of individual particles.

From the standpoint of group theory, isomorphic groups have the same properties and need not be distinguished.

From the 16th to the 18th centuries, Commedia dell ' arte performers improvised based on a broad outline in the streets of Italy and in the 1890s theatrical theorists and directors such as Russian, Konstantin Stanislavski and the French, Jacques Copeau, founders of two major streams of acting theory, both heavily utilised improvisation in acting training and rehearsal.

From the beginning with his theory of mass comparison, Greenberg addressed why the issues of chance resemblance and borrowing were not obstacles to its being useful.

From 1953 to 1955, she was the president of the Folklore Society, although since her death various members of the society have attempted to dissociate the organisation from her and the Murrayite theory of the Witch-Cult.

From proverb to Folk-tale: Notes on the general theory of cliche.

From the late 2000s on, a Theory of Active Peace has been proposed which conceptually integrates justice into a larger peace theory.

* Precession and the Milankovich theory from educational web site From Stargazers to Starships

From the theory, Kelly derived a psychotherapy approach and also a technique called The Repertory Grid Interview that helped his patients to uncover their own " constructs " ( defined later ) with minimal intervention or interpretation by the therapist.

From the 1920s onward, the movement spread around the globe, eventually affecting the visual arts, literature, film, and music of many countries and languages, as well as political thought and practice, philosophy, and social theory.

In the book From Religion to Philosophy, Francis Cornford suggests that the Orphics used the word " theory " to mean ' passionate sympathetic contemplation '.

From 1882 to 1889, Gibbs wrote five papers on physical optics, in which he investigated birefringence and other optical phenomena and defended Maxwell's electromagnetic theory of light against the mechanical theories of Kelvin and others.

From his methods on solving the Riemann problem had developed the theory of singular integral equations ( MSC ( 2000 ) 45-Exx ) which was entertained above all by the Russian school at the head of Nikoloz Muskhelishvili ( Николай Иванович Мусхелищвили ) ( 1891 – 1976 ).

From basic image filter theory the angular cutoff frequency and the characteristic impedance of a low-pass constant k filter are given by ;

From the perspective of quantum theory, light is made of photons: particles with zero mass but which carry energy and — importantly in this argument — momentum.