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Page "Codimension" ¶ 10
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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 if
More recently, the chairman of the Atomic Energy Commission, Dr. Glenn T. Seaborg, `` admitted '' to a news conference in Las Vegas, Nevada, that the US might fall behind Russia ( he apparently meant in weapons development ) if the Soviets continue to test in the atmosphere while we abstain.
More importantly, several of the more advanced of the less developed countries have found through experience that they must plan their own complex investment programs for at least 5 years forward and tentatively for considerably more than that if they are to be sure that the various interdependent activities involved are all to take place in the proper sequence.
More technically, the law is concerned with the speedup achievable from an improvement to a computation that affects a proportion P of that computation where the improvement has a speedup of S. ( For example, if an improvement can speed up 30 % of the computation, P will be 0. 3 ; if the improvement makes the portion affected twice as fast, S will be 2.
More controversially, officials of the Federal Reserve assisted in the negotiations that led to this bail-out, on the grounds that so many companies and deals were intertwined with LTCM that if LTCM actually failed, they would as well, causing a collapse in confidence in the economic system.
More precisely, if S
More direct government involvement can lead to specific areas of crony capitalism, even if the economy as a whole may be healthy.
More often than not, a second light will be mounted to the helmet for quick transition if the primary fails.
More often than not a cross-examiner will also attempt to undermine the credibility of a witness if he will not be perceived to be a bully ( such as discrediting a very elderly person or young child ).
More than anything else, the caddy is there to make the player's round enjoyable by taking care of menial tasks, speeding up play, and providing mental support if asked.
More total output and utility thereby results from specializing in production and trading than if each country produced its own high-tech and low-tech products.
More generally, an a-by-b rectangle can be covered with square tiles of side-length c only if c is a common divisor of a and b.
More generally, an a-by-b rectangle can be covered with square tiles of side-length c only if c is a common divisor of a and b.
More generally, if the numbers are, the geometric mean satisfies
More severe withdrawal symptoms which occur can include seizures ( some of which can be fatal ), visual and auditory hallucinations, suicidal ideation, extremely severe panic attacks, depersonalization, tremors, delirium, delirium tremens and if not treated as an emergency by a proper medical staff death from a seizure can occur.
More formally, if a, b, c, and d are all integers, then the fraction < sup > a </ sup >⁄< sub > b </ sub > is irreducible if and only if there is no other equal fraction < sup > c </ sup >⁄< sub > d </ sub > such that | c | < | a | or | d | < | b |, where | a | means the absolute value of a.
More generally, the direct product of two cyclic groups Z < sub > m </ sub > and Z < sub > n </ sub > is isomorphic to Z < sub > mn </ sub > if and only if m and n are coprime.
More generally, if C is an arbitrary abelian category that has enough injectives, then so does C < sup > I </ sup >, and the right derived functors of the inverse limit functor can thus be defined.

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