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Page "Universal property" ¶ 14
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each and definition
Used in several sets of high reps once or twice each week it will not be long before your entire upper leg takes on a razor-sharp definition in which the muscles look like wire cables writhing and twisting under the skin!!
Simply storing the 24-bit color of each pixel in this image would require 1. 62 million bits, but a small computer program can reproduce these 1. 62 million bits using the definition of the Mandelbrot set and the coordinates of the corners of the image.
However, because each schema object is integral to the definition of Active Directory objects, deactivating or changing these objects can fundamentally change or disrupt a deployment.
The explanations below are for quick reference and do not fully or completely define the statistic ; for the strict definition, see the linked article for each statistic.
This number can be seen as equal to the one of the first definition, independently of any of the formulas below to compute it: if in each of the n factors of the power one temporarily labels the term X with an index i ( running from 1 to n ), then each subset of k indices gives after expansion a contribution X < sup > k </ sup >, and the coefficient of that monomial in the result will be the number of such subsets.
Some authors deviate from the definition just given by identifying each object with its identity morphism.
There is continual argument over the precise definition of each of these periods, and one historian might group them differently, or choose different names or descriptions.
The definition of " addictive " depends on each individual but most Buddhists consider alcohol, tobacco and contraband drugs to be addictive.
From 1975 to 1979, a Canadian progressive power trio, Rush, released three albums containing sidelong epics, regarded by some as concept albums ( though not actually concept albums by strict definition of the term ; that is, none of the other songs on the album have anything to do with each other or the 20-minute sidelong epic, so there is no pervasive concept or story ).
* To demonstrate the concept, Knuth intentionally referred " Circular definition " and " Definition, circular " to each other in the index of The Art of Computer Programming, Volume 1.
The varieties of Arabic are considerably different from each other-especially those spoken in North Africa ( Maghreb ) from those of the Middle East ( the Mashriq in the broad definition including Egypt and Sudan )-and had there been the political will in the different Arab countries to cut themselves off from each other, the case could have been made to declare these varieties as separate languages.
( Form of Content, that Louis Hjelmslev distinguished from Form of Expression ) than how the word " house " may be tied to a certain image of a traditional house ( i. e. the relationship between signifier and signified ) with each term being established in reciprocal determination with the other terms than by an ostensive description or definition: when can we talk about a " house " or a " mansion " or a " shed "?
An implication of model theory is that the properties defining a relation can be proved independent of each other ( and hence necessary parts of the definition ) if and only if, for each property, examples can be found of relations not satisfying the given property while satisfying all the other properties.
The interaction is mediated by the magnetic field each current produces and forms the basis for the international definition of the ampere.
By definition, the first two numbers in the Fibonacci sequence are 0 and 1, and each subsequent number is the sum of the previous two.
Evaluating this definition directly requires O ( N < sup > 2 </ sup >) operations: there are N outputs X < sub > k </ sub >, and each output requires a sum of N terms.
This view would produce a wide range of definition of what, exactly, constituted culture and history, but in each case the only means of explaining it was in terms of the historical particulars of the culture itself.
Attitudes about female homosexual behavior are dependent upon women's roles in each society, and each culture's definition of sex.
* 1927 October 6The seventh CGPM adjusts the definition of the metre to be the distance, at, between the axes of the two central lines marked on the prototype bar of platinum-iridium, this bar being subject to one standard atmosphere of pressure and supported on two cylinders of at least diameter, symmetrically placed in the same horizontal plane at a distance of from each other.
" For his definition of justice, Bracton quoted the twelfth-century Italian jurist Azo: "' Justice is the constant and unfailing will to give to each his right.
Thus, each instance has a " master ", or " definition ".

each and existence
Whitehead contends that the human way of understanding existence as a unity of interlocking and interdependent processes which constitute each other and which cause each other to be and not to be is possible only because the basic form of such an understanding, for all its vagueness and tendency to mistake the detail, is initially given in the way man feels the world.
This guarantees for any partition of a set X the existence of a subset C of X containing exactly one element from each part of the partition.
The former is equivalent in ZF to the existence of an ultrafilter containing each given filter, proved by Tarski in 1930.
Pointing out that predicables are predicated univocally of substances ; that is, they refer to " the same thing " found in each instance, St. Thomas argued that whatever can be said about being is not univocal, because all beings are unique, each actuated by a unique existence.
It is concerned with the characteristics, classification, and behaviors of organisms, how species come into existence, and the interactions they have with each other and with the environment.
In the strips, it is expressed that the two towns are rivals with each other and before The Dandy did a drastic format change they had an embassy in Beanotown which many of the town's citizens attempted to overrun, but failed ( the embassy had no existence in The Beano ).
In general topological spaces, however, the different notions of compactness are not necessarily equivalent, and the most useful notion, introduced by Pavel Alexandrov and Pavel Urysohn in 1929, involves the existence of certain finite families of open sets that " cover " the space in the sense that each point of the space must lie in some set contained in the family.
In the Philippines, the Commission on the Filipino Language declared all the indigenous languages in the Philippines as dialects despite the great differences between them, as well as the existence of significant bodies of literature in each of the major " dialects " and daily newspapers in some.
Therefore, the independent principles of yin and yang are actually dependent on one another for each other's distinguishable existence.
" Nativist " models of " Universal Grammar " are informed by linguistic universals such as the existence of pronouns and demonstratives, and the similarities in each languages process of nominalization ( the process of verbs becoming nouns ) as well as the reverse, the process of turning nouns into verbs.
The suffix “ ene ” indicates that each C atom is covalently bonded to three others ( instead of the maximum of four ), a situation that classically would correspond to the existence of bonds involving two pairs of electrons (“ double bonds ”).
With the existence of modern independent states, each with its own legislative system, or its own body of ulamas, each country develops and applies its own rules, based on its own interpretation of religious prescriptions.
He then ravages on Tokyo as payback for the Japanese attempting to erase him from existence, and Shindo is killed ; though not before he and Godzilla share a brief moment of the two remembering each other from when they first met on Lagos Island in 1944, and Godzilla is seemingly sad for once.
From these hypotheses, it is also possible to prove that there is only one God in each world by Leibniz's law, the identity of indiscernibles: two or more objects are identical ( are one and the same ) if they have all their properties in common, and so, there would only be one object in each world that possesses property G. Gödel did not attempt to do so however, as he purposely limited his proof to the issue of existence, rather than uniqueness.
Each Gundam is sent from a different colony, and the pilots are initially unaware of each other's existence.
The fact that the electric charges of electrons and protons seem to cancel each other exactly to extreme precision is essential for the existence of the macroscopic world as we know it, but this important property of elementary particles is not explained in the Standard Model of particle physics.
As the existence of a state presupposes control and jurisdiction over territory, international law deals with the acquisition of territory, state immunity and the legal responsibility of states in their conduct with each other.
The museum consequently returned in 2009 five Egyptian fragments of frescoes ( 30 cm x 15 cm each ) whose existence of the tomb of origin had only been brought to the authorities attention in 2008, eight to five years after their good-faith acquisition by the museum from two private collections and after the necessary respect of the procedure of déclassement from French public collections before the Commission scientifique nationale des collections des musées de France.
Otto Weininger has been accused of misogyny in his book Sex and Character, in which he characterizes the " woman " part of each individual as being essentially " nothing ," and having no real existence, having no effective consciousness or rationality.
They did not work together and did not know of each other's existence.
In this alternate history, the fourth planet of our solar system-named Minerva instead of Mars-is larger, nearer to Earth and has conditions congenial to the existence of life, including intelligent creatures with their well-defined biology and culture ( and wars with each other ).

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