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, 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 recently, a number of designs of drives and gearboxes have emerged that use nutating elements to provide very large reduction ratios in a compact unit.

More precisely, for every Tychonoff space X, there exists a compact Hausdorff space K such that X is homeomorphic to a subspace of K.

More recent examples include vinyl crackles on compact discs, as on Portishead's album Dummy, and telephonic vocals on Craig David's track " Fill Me In " ( though these two are not regarded as " lo-fi " bands ).

More generally, every locally compact, almost connected group is the projective limit of a Lie group.

More formally, a spin network is a ( directed ) graph whose edges are associated with irreducible representations of a compact Lie group and whose vertices are associated with intertwiners of the edge representations adjacent to it.

More beneficial to AMC's future was the introduction of an all-new line of compact Jeep Cherokee and Wagoneer models in the autumn of 1983 for the 1984 model year.

He appeared again in 2002 to record a song with the British musician Jools Holland, singing " Snowflake Boogie " on Holland's compact disc More Friends ; and to record another track with Utah Saints, a so-far-unreleased version of his number one hit " War " – his last-ever recording.

More compact collections can be found in e. g. Brychkov, Marichev, Prudnikov's Tables of Indefinite Integrals, or as chapters in Zwillinger's CRC Standard Mathematical Tables and Formulae, Bronstein and Semendyayev's Handbook of Mathematics ( Springer ) and Oxford Users ' Guide to Mathematics ( Oxford Univ.

More specifically, in topology, compact Hausdorff topological spaces can be reconstructed from the Banach algebra of functions on the space ( Gel ' fand-Neimark ).

More precisely, an elliptic operator D on a compact manifold has a ( non-unique ) parametrix ( or pseudoinverse ) D ′ such that DD ′− 1 and D ′ D − 1 are both compact operators.

More precisely, a right Haar measure on a locally compact group G is a countably additive measure μ defined on the Borel sets of G which is right invariant in the sense that μ ( A x ) = μ ( A ) for x an element of G and A a Borel subset of G and also satisfies some regularity conditions ( spelled out in detail in the article on Haar measure ).

More generally if f is a separated morphism of finite type from X to S ( with X and S Noetherian ) then the higher direct images with compact support R < sup > q </ sup > f < sub >!</ sub > are defined by

More generally, a function on a locally compact space ( which may not have a norm ) vanishes at infinity if, given any positive number, there is a compact subset such that

More generally, every injective module is algebraically compact, for the same reason.

More recently a growing number of companies are manufacturing water-cooling components compact enough to fit inside a computer case.

Nevertheless, Captain & Tennille's popularity remained evident in the release of their Ultimate Collection: The Complete Hits on Hip-O Records ( a subsidiary of Universal Records ) in 2001, and More Than Dancing ... Much More, a 2002 compact disc.

More generally, any compact convex planar body D has one pair of parallel supporting lines in any given direction.

This property is interesting in the case of locally compact topological groups, since locally compact compactly generated topological groups can be approximated by locally compact, separable metric factor groups of G. More precisely, for a sequence