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Page "Semiring" ¶ 32
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More and generally
More generally, suppose that an experiment consists of a number of independent trials, that each trial results in either a `` success '' or a `` non-success '' ( `` failure '' ), and that the probability of success remains constant from trial to trial.
More generally, in a k-dimensional array, the address of an element with indices i < sub > 1 </ sub >, i < sub > 2 </ sub >, …, i < sub > k </ sub > is
More recently, an abettor is generally known as an accomplice.
More expensive pigments are generally replicated by hues.
More generally, one curve is a curvilinear asymptote of another ( as opposed to a linear asymptote ) if the distance between the two curves tends to zero as they tend to infinity, although usually the term asymptote by itself is reserved for linear asymptotes.
More generally, as noted by A. W.
More generally, a binary relation between two sets A and B is a subset of.
More generally, a new component is said to be backward compatible if it provides all of the functionality of the old component.
More generally, an n-piece cubic Bézier curve can approximate a circle, when each inner control point is the distance from an outer control point on a unit circle, where t is 360 / n degrees, and n > 2.
More generally, every C *- algebra is a Banach algebra.
More generally, a series
More generally, if ƒ has a branch-point near the origin of such a nature that then
More generally, calculus ( plural calculi ) refers to any method or system of calculation guided by the symbolic manipulation of expressions.
More generally, many philosophers and scientists have been unhappy about the difficulty of producing a definition that does not involve circularity or fuzziness.
More broadly, philosophers who do not accept the possibility of zombies generally believe that consciousness is reflected in behavior ( including verbal behavior ), and that we attribute consciousness on the basis of behavior.
Among the teachings of Jesus Christ in the Gospel of Luke and the Gospel of Matthew, the message to his followers that one should " Turn the other cheek " and his example in the story Pericope Adulterae, in which Jesus intervenes in the stoning of an adulteress, are generally accepted as his condemnation of physical retaliation ( though most scholars agree that the latter passage was " certainly not part of the original text of St John's Gospel ") More militant Christians consider Romans 13: 3 – 4 to support the death penalty.
* More generally, compact groups such as an orthogonal group are compact, while groups such as a general linear group are not.
More generally, compact sets can be separated by open sets: if K < sub > 1 </ sub > and K < sub > 2 </ sub > are compact and disjoint, there exist disjoint open sets U < sub > 1 </ sub > and U < sub > 2 </ sub > such that and.
More generally, electric current can be represented as the rate at which charge flows through a given surface as:
More generally, the idea of a contractive mapping can be defined for maps between metric spaces.
More generally, unspecific coercion may be the form taken by disciplinary coercion, and this appears to be in fact the case within the most effective command systems of the modern world.
More generally, judges look at the difficulty and execution of jumps, stunts and tumbling, synchronization, creativity, the sharpness of the motions, showmanship, and overall routine execution.
More generally among Baptists, a variety of parachurch agencies and evangelical educational institutions may be supported generously or not at all, depending entirely upon the local congregation's customs and predilections.
More generally, one can consider finite direct sums of matrix algebras.
More generally, inheritance now is quite different than those in the past.

More and likewise
More complex instructions such as add likewise could have memory, register, input, or output as source or destination.
More precisely, replacing by X, and likewise for other variables ( formally this is done by a Fourier transform ), converts a constant-coefficient PDE into a polynomial of the same degree, with the top degree ( a homogeneous polynomial, here a quadratic form ) being most significant for the classification.
More outrage was raised when it was learned that, likewise, the project had been pumping oxygen inside, to make up for a failure in the balance of the system that resulted in the amount of oxygen steadily declining.
More commonly, low note of the médio is tuned in unison to the high note of the Gunga, and likewise for the viola to the médio.
More than ten years after the fact, later observers would tend to agree that it is apparent to many Colombians that the National Constituent Assembly and the constitution that it drafted were definitely a valuable democratic step forward both in the statement of principles and in their gradual application, but likewise many would agree that much more remains to be done before it can truly be said that theory has been fully put into practice.
More detailed charts by those following Cook showed likewise.
More contemporary and brighter lighting, together with fans, was installed in the covered playground, likewise the gymnasium.

More and applies
More generally, Stokes ' theorem applies to oriented manifolds M with boundary.
More concisely, the concept of open source governance applies principles of the free software movement to the governance of people, allowing the entire populace to participate in government directly, as much or as little as they please.
More generally, a similar approach applies for connections in any vector bundle.
More generally, a Bloch-wave description applies to any wave-like phenomenon in a periodic medium.
More recently the 1977 Protocol Additional to the Geneva Conventions of 12 August 1949, and relating to the Protection of Victims of International Armed Conflicts, which applies in situations Article 1.
More formally, however, "" is simply a binary operator that applies the expression on its right-hand side to each item in turn selected by the expression on the left hand side.
More generally, it applies to any finite abelian extension K of the rational field Q, which by the Kronecker – Weber theorem are isomorphic to subfields of cyclotomic fields.
More generally, the construction applies to any real, complex, or quaternionic inner product space.
More commonly, this is often known as a bail closure, or French Kilner — it consists of a metal wire arrangement with a lever which, when pivoted downward against the side of the jar, applies leverage to a glass lid, clamping it down over a separate rubber O ring.
Richard H. Popkin ( 1990 ) applies the term to the " spiritual physics " of Cambridge Platonist Henry More and his pupil and collaborator Lady Anne Conway, who enthusiatically accepted the new science, but rejected the various forms of materialist mechanism proposed by Descartes, Hobbes and Spinoza to buttress it, as these, More and Conway argued, were incapable of explaining productive causality.
More research such as analyzing bird banding data is needed to determine whether this mechanism applies in Swainson's Warbler.
In a broad sense, people who may share with " traditional socialism a distrust of the market, of private investment, and of the achievement ethic, and a commitment to expansion of the welfare state " might sometimes be described as “ left-libertarians .” More narrowly, some social anarchists and libertarian socialists, including Murray Bookchin, are sometimes characterized as “ left-libertarian .”, and Noam Chomsky, who identifies as a “ libertarian socialist ,” applies the “ left-libertarian ” label to himself.
More than 90 % of intra-Mercosur trade is duty-free, while the group's common external tariff ( CET ) applies to more than 85 % of imported goods.

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