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general and absolute
It is one of five arguments from the " properties, causes, and effects " of true motion and rest that support his contention that, in general, true motion and rest cannot be defined as special instances of motion or rest relative to other bodies, but instead can be defined only by reference to absolute space.
A value of h close to zero gives a good approximation to the slope of the tangent line, and smaller values ( in absolute value ) of h will, in general, give better approximations.
The term ' dualism ' was originally coined to denote co-eternal binary opposition, a meaning that is preserved in metaphysical and philosophical duality discourse but has been diluted in general or common usages .— which is also uncreated — is an absolute one.
The most general term is despotism, a form of government in which a single entity rules with absolute power.
As a consequence of the unbalanced social development and the labour movement's continuous position in the political opposition, the Social Democratic Party had gained an absolute majority in the Parliament of Finland, in the general elections of 1916.
In the general elections of June 1996 the Democratic Party tried to win an absolute majority and manipulated the results.
While it was once thought that Locke wrote the Treatises to defend the Glorious Revolution of 1688, recent scholarship has shown that the work was composed well before this date, and it is now viewed as a more general argument against absolute monarchy ( particularly as espoused by Robert Filmer and Thomas Hobbes ) and for individual consent as the basis of political legitimacy.
Einstein explained that the " aether of general relativity " is not absolute, because matter is influenced by the aether, just as matter influences the structure of the aether.
* Jean-Jacques Rousseau: Analyzed the social contract as an expression of the general will, and controversially argued in favor of absolute democracy where the people at large would act as sovereign.
In general, these philosophers argue that truth was not about getting it right or representing reality, but was part of a social practice and language was what served our purposes in a particular time ; to this end Poststructuralism rejects any definitions that claim to have discovered absolute ' truths ' or facts about the world.
The two highest vote-winners in the primary — in effect, the first round of a two-round system — are then the only candidates whose names appear on the ballot at the general election, effectively requiring one candidate to win an absolute majority to take office.
The shift was from absolute and universal authoritative principles and knowledge to relative and general conceptual and perceptual knowledge, still in the tradition of theorists that sought to provide means in organizing human life.
Although there is no absolute distinction between different areas of topology, the focus here is on general topology.
Empirical thermometers are not in general necessarily in exact agreement with absolute thermometers as to their numerical scale readings, but to qualify as thermometers at all they must agree with absolute thermometers and with each other in the following way: given any two bodies isolated in their separate respective thermodynamic equilibrium states, all thermometers agree as to which of the two has the higher temperature, or that the two have equal temperatures.
However, in the Uruguayan general election, 2009, the Broad Front won an absolute majority in Parliamentary elections, and José Mujica of the Broad Front defeated Luis Alberto Lacalle of the Blancos to win the presidency.
In the 1948 general election the party had its best result ever ( 48. 5 % and the absolute majority in the Italian Parliament.
In 1780, for example, Laplace and Lavoisier stated: “ In general, one can change the first hypothesis into the second by changing the words ‘ free heat, combined heat, and heat released ’ into ‘ vis viva, loss of vis viva, and increase of vis viva .’” In this manner, the total mass of caloric in a body, called absolute heat, was regarded as a mixture of two components ; the free or perceptible caloric could affect a thermometer, whereas the other component, the latent caloric, could not.
Grotius posited that individual human beings had natural rights ; Hobbes asserted that men consent to abdicate their rights in favor of the absolute authority of government ( whether monarchial or parliamentary ); Pufendorf disputed Hobbes's equation of a state of nature with war ; Locke believed that natural rights were inalienable, and that the rule of God therefore superseded government authority ; and Rousseau believed that democracy ( self-rule ) was the best way of ensuring the general welfare while maintaining individual freedom under the rule of law.
The 1981 general elections saw the Nationalist Party ( NP ) gaining an absolute majority of votes, yet the Labour winning the majority of Parliamentary seats under the Single Transferable Vote and Mintoff remained Prime Minister, leading to a political crisis.
Despite its general debt to Beethoven and Wagner, the " Bruckner Symphony " is a unique conception, not only because of the individuality of its spirit and its materials, but even more because of the absolute originality of its formal processes.
Aside from effects in the brain, the general physical risks of ECT are similar to those of brief general anesthesia ; the United States ' Surgeon General's report says that there are " no absolute health contraindications " to its use.
Many secular philosophies also take a morally absolutist stance, arguing that absolute laws of morality are inherent in the nature of human beings, the nature of life in general, or the universe itself.

general and Galois
* He constructed the general linear group over a prime field, GL ( ν, p ) and computed its order, in studying the Galois group of the general equation of degree p < sup > ν </ sup >.
In fact, for many fields K one does not know in general precisely which finite groups occur as Galois groups over K. This is the inverse Galois problem for a field K. ( For some fields K the inverse Galois problem is settled, such as the field of rational functions in one variable over the complex numbers.
While Ruffini and Abel established that the general quintic could not be solved, some particular quintics can be solved, such as ( x − 1 )< sup > 5 </ sup >= 0, and the precise criterion by which a given quintic or higher polynomial could be determined to be solvable or not was given by Évariste Galois, who showed that whether a polynomial was solvable or not was equivalent to whether or not the permutation group of its roots – in modern terms, its Galois group – had a certain structure – in modern terms, whether or not it was a solvable group.
Historically, the word " solvable " arose from Galois theory and the proof of the general unsolvability of quintic equation.
The general linear group over a prime field, GL ( ν, p ), was constructed and its order computed by Évariste Galois in 1832, in his last letter ( to Chevalier ) and second ( of three ) attached manuscripts, which he used in the context of studying the Galois group of the general equation of order p < sup > ν </ sup >.
This is so because for a polynomial of degree n with indeterminate coefficients ( i. e., given by symbolic parameters ), the Galois group is the full symmetric group S < sub > n </ sub > ( this is what is called the " general equation of the n-th degree ").
One of the fundamental theorems of Galois theory states that an equation is solvable in radicals if and only if it has a solvable Galois group, so the proof of the Abel – Ruffini theorem comes down to computing the Galois group of the general polynomial of the fifth degree.
Generalizing this argument shows that the Galois group of every general polynomial of degree is isomorphic to.
Note that the above construction of the Galois group for a fifth degree polynomial only applies to the general polynomial, specific polynomials of the fifth degree may have different Galois groups with quite different properties, e. g. has a splitting field generated by a primitive 5th root of unity, and hence its Galois group is abelian and the equation itself solvable by radicals.
Niels Henrik Abel ( 1802 – 1829 ), a Norwegian, and Évariste Galois, ( 1811 – 1832 ) a Frenchman, investigated into the solutions of various polynomial equations, and proved that there is no general algebraic solution to equations of degree greater than four ( Abel – Ruffini theorem ).
The Artin reciprocity law applies to a Galois extension of algebraic number fields whose Galois group is abelian, assigns L-functions to the one-dimensional representations of this Galois group ; and states that these L-functions are identical to certain Dirichlet L-series or more general series ( that is, certain analogues of the Riemann zeta function ) constructed from Hecke characters.

general and group
The Charles Men consists not of a connected narrative but of a group of short stories, each depicting a special phase of the general subject.
The publication of Father Connolly's The Man Has Wings has made more of the group available in print so that a general picture of what it contained can now be had without difficulty.
After all, social life in the group of the bees is by no means general, although it certainly is a striking feature.
A more realistic analysis must take into account the fact that Brandywine people in the urban-fringe area are, in general, less segregated locally than group members in rural areas.
Direct reciprocity and cooperation in a group can be increased by changing the focus and incentives from intra-group competition to larger scale competitions such as between groups or against the general population.
The motor neuron diseases ( MND ) are a group of neurological disorders that selectively affect motor neurons, the cells that control voluntary muscle activity including speaking, walking, breathing, swallowing and general movement of the body.
For example, in some groups, the group operation is commutative, and this can be asserted with the introduction of an additional axiom, but without this axiom we can do quite well developing ( the more general ) group theory, and we can even take its negation as an axiom for the study of non-commutative groups.
* In linear algebra, an endomorphism of a vector space V is a linear operator V → V. An automorphism is an invertible linear operator on V. When the vector space is finite-dimensional, the automorphism group of V is the same as the general linear group, GL ( V ).
The general structure of an α-amino acid, with the amine | amino group on the left and the carboxyl group on the right.
The book of Daniel uses the term " Chaldean " to refer both to an ethnic group, and to astrologers in general.
A conspiracy theory explains an event as being the result of an alleged plot by a covert group or organization or, more broadly, the idea that important political, social or economic events are the products of secret plots that are largely unknown to the general public.
In 1997, a group led by Vladimiro Roca, a decorated veteran of the Angolan war and the son of the founder of the Cuban Communist Party, sent a petition, entitled La Patria es de Todos (" the homeland belongs to all ") to the Cuban general assembly requesting democratic and human rights reforms.
" Z " is also frequently used as a general variable group.
Such groups facilitate and encourage consensus decision-making with a focus on the general health of the community rather than a specific interest group.
Indeed, in those cases where no clear consensus exists on a given norm, the drafting of criminal law by the group in power to prohibit the behaviour of another group may seem to some observers an improper limitation of the second group's freedom, and the ordinary members of society have less respect for the law or laws in general — whether the authorities actually enforce the disputed law or not.
The study of group homomorphisms then provides a tool for studying general properties of groups and consequences of the group axioms.
* GrupoSUD. com-A large general interest Spanish-language discussion group for LDS Church members.
* More generally, compact groups such as an orthogonal group are compact, while groups such as a general linear group are not.

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