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Page "History of topos theory" ¶ 6
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theory and rounded
A common theory about the building is that the rounded feature to the left of centre, terminating at the top in a turret and cross, represents the lance of Saint George ( patron saint of Catalonia, Gaudi's home ), which has been plunged into the back of the dragon.
Later modifications to his theory allowed for an additional set of eight " secondary Cardinal Vowels " with reverse lip shapes, permitting the representation of eight secondary cardinal vowels ( front rounded and back unrounded ).
This is best treated in four main stages, involving theory associated with: ( 1 ) derivation of a formula for " escape probability ", by considering electron tunneling through a rounded triangular barrier ; ( 2 ) an integration over internal electron states to obtain the " total energy distribution "; ( 3 ) a second integration, to obtain the emission current density as a function of local barrier field and local work function ; ( 4 ) conversion of this to a formula for current as a function of applied voltage.
According to that theory, the number is approximately 365 because of the apparent movement of the sun against the celestial sphere and that it was rounded to 360 for some of the mathematical reasons cited above.
However, Wang Chong's theory went against the correct ' radiating influence ' theory supported by Zhang Heng ( that the light of the rounded moon was simply a reflection of the light emanating from the rounded sun ).

theory and itself
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.
The dissection of scientific theory, the examination of a theory from the vantage-points of language, epistemology, and ethics, is itself a distinct contribution to knowledge, no less so because of its removal from empirical research.
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.
As Diggins concludes regarding the highly influential Cooper Union speech of early 1860, " Lincoln presented Americans a theory of history that offers a profound contribution to the theory and destiny of republicanism itself.
The development of abstract algebra brought with itself group theory, rings and fields, Galois theory.
Instead of starting from theory and applying theory to a particular case, casuists start with the particular case itself and then ask what morally significant features ( including both theory and practical considerations ) ought to be considered for that particular case.
In category theory, an automorphism is an endomorphism ( i. e. a morphism from an object to itself ) which is also an isomorphism ( in the categorical sense of the word ).
The and convention for amino acid configuration refers not to the optical activity of the amino acid itself, but rather to the optical activity of the isomer of glyceraldehyde from which that amino acid can, in theory, be synthesized (- glyceraldehyde is dextrorotary ;-glyceraldehyde is levorotatory ).
Against this, the Averroists, led by Agostino Nifo, introduced the modifying theory that universal reason in a sense individualizes itself in each soul and then absorbs the active reason into itself again.
In the different systems these emanations are differently named, classified, and described, but the emanation theory itself is common to all forms of Gnosticism.
Within algebraic geometry itself, his theory of schemes has become the universally accepted language for all further technical work.
For example, programming language theory studies approaches to description of computations, while the study of computer programming itself investigates various aspects of the use of programming languages and complex systems, and human-computer interaction focuses on the challenges in making computers and computations useful, usable, and universally accessible to humans.
For example, programming language theory considers various approaches to the description of computation, whilst the study of computer programming itself investigates various aspects of the use of programming language and complex systems.
Aside from controversies over the merits of particular conspiratorial claims, the general discussion of conspiracy theory is itself a matter of some public contention.
The term " conspiracy theory " is itself the object of a type of conspiracy theory, which argues that those using the term are manipulating their audience to disregard the topic under discussion, either in a deliberate attempt to conceal the truth, or as dupes of more deliberate conspirators.
This capability is enabled because the configuration not only imposes a security policy, but in theory completely protects itself from corruption.
" For Adorno and Horkheimer, this posed the problem of how to account for the apparent persistence of domination in the absence of the very contradiction that, according to traditional critical theory, was the source of domination itself.
While modernist critical theory ( as described above ) concerns itself with “ forms of authority and injustice that accompanied the evolution of industrial and corporate capitalism as a political-economic system ,” postmodern critical theory politicizes social problems “ by situating them in historical and cultural contexts, to implicate themselves in the process of collecting and analyzing data, and to relativize their findings ” ( Lindlof & Taylor, 2002, p. 52 ).

theory and out
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.
The strongest appeal of the Copernican formulation consisted in just this: ideally, the justification for dealing with special problems in particular ways is completely set out in the basic ' rules ' of the theory.
It is borne out also by the absence of any developed theory about how sin passes from one generation to the next.
When thinking about orbitals, we are often given an orbital vision which ( even if it is not spelled out ) is heavily influenced by this Hartree – Fock approximation, which is one way to reduce the complexities of molecular orbital theory.
Nevertheless, the Saturnian model turned out to have more in common with modern theory than any of its contemporaries.
He established the consistent use of the chemical balance, used oxygen to overthrow the phlogiston theory, and developed a new system of chemical nomenclature which held that oxygen was an essential constituent of all acids ( which later turned out to be erroneous ).
Jean Giraud worked out torsor theory extensions of non-abelian cohomology.
This theory of Homer's influence on Beowulf remained very prevalent in the 1920s, but started to die out in the following decade when a handful of critics stated that the two works were merely “ comparative literature ” although Greek was known in contemporary England.
One fringe theory, supported by paranormal investigator Jon-Erik Beckjord, theorizes that the lack of hard evidence supporting Bigfoot's existence may be due to the creature being an interdimensional being that slips in and out of dimensions.
Therefore, while the basic features of this epoch have been worked out in the Big Bang theory, the details are largely based on educated guesses.
The theory of baryogenesis was worked out by Andrei Sakharov in 1967, and requires a violation of the particle physics symmetry, called CP-symmetry, between matter and antimatter.
Albert Einstein, in 1922, said regarding contemporary theories of superconductivity thatwith our far-reaching ignorance of the quantum mechanics of composite systems we are very far from being able to compose a theory out of these vague ideas ”
However, one could equally well lay out a consequentialist theory that focuses solely on minimizing bad consequences.
These foundational applications of category theory have been worked out in fair detail as a basis for, and justification of, constructive mathematics.
He developed a method of measuring the horizontal intensity of the magnetic field which was in use well into the second half of the 20th century, and worked out the mathematical theory for separating the inner and outer ( magnetospheric ) sources of Earth's magnetic field.
In contrast, modern control theory is carried out in the state space, and can deal with multi-input and multi-output ( MIMO ) systems.
Critics of Wittfogel's oriental despotism theory point out that water management was not a high priority when compared to taxes, rituals, and fighting off bandits.
These measurements were able to rule out cosmic strings as the leading theory of cosmic structure formation, and suggested cosmic inflation was the right theory.
Thermodynamics developed gradually over the first half of the nineteenth century, building on the above theory of calorimetry which had been worked out before it, and on other discoveries.
It has been postulated that a gas high in ethylene, known to produce violent trances, came out of this opening, though this theory remains debatable.
Russell offered his theory of descriptions in part as a way of defining a proper name, the definition being given by a definite description that " picks out " exactly one individual.
Critics point out a number of problems with this theory.
Marxist theory allows for the possibility that Labour content can serve as a common means of valuing capital goods, a position now out of favour with economists following the success of the theory of marginal utility.

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