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, the U.S. action was hailed by a principal opposition leader, Dr. Juan Bosch, as having saved `` many lives and many troubles in the near future ''.

More specifically in regards to the Mets, critics point out that with Selig's personal relationship with Wilpon has allowed him to stall any possible removal of Wilpon as that club's principal owner.

More than half of the footage filmed for Superman II by the originally credited director ( Richard Lester ) has been removed from the film and replaced with Donner footage shot during the original principal photography from 1977 – 1978.

More recent efforts show promise for creating nanodevices for very large scale principal components analyses and convolution.

* More generally, all nonzero prime ideals are maximal in a principal ideal domain.

More than 200 are known, of which the first dozen or so, the oldest and most important, are variously referred to as the principal, main ( mukhya ) or old Upanishads.

More successful was Between Rounds ( 1899 ), for which boxer Billy Smith posed seated in his corner at Philadelphia's Arena ; in fact, all the principal figures were posed by models re-enacting what had been an actual fight.

More specifically it was seen as punishment for the contempt they had shown for the great Olympic Games, which they are said to have attempted to supplant by attracting the principal artists and athletes to their own public games.

Mr. Cockshutt of the Inner Temple had left a legacy of £ 300 to More to have three of his principal pieces translated into Latin, and More complied with the terms of the legacy by translating into Latin many more of his English works.

Thus the classical solutions to G Chern – Simons theory are the flat connections of principal G-bundles on M. Flat connections are determined entirely by holonomies around noncontractible cycles on the base M. More precisely, they are in one to one correspondence with equivalence classes of homomorphisms from the fundamental group of M to the gauge group G up to conjugation.

More generally, the principal value can be defined for a wide class of singular integral kernels on the Euclidean space R < sup > n </ sup >.

More generally, the second-order conditions that are sufficient for a local minimum or maximum can be expressed in terms of the sequence of principal ( upper-leftmost ) minors ( determinants of sub-matrices ) of the Hessian ; these conditions are a special case of those given in the next section for bordered Hessians for constrained optimization — the case in which the number of constraints is zero.

More generally, moving frames may be viewed as sections of principal bundles over open sets U. The general Cartan method exploits this abstraction using the notion of a Cartan connection.

More often than not he was miming on the guitar during early live performances, but was, along with bassist Nicky Wire, principal lyricist.

More recently, the Constitution Act 1986 has become the principal formal statement of New Zealand's constitution.

More than 99 % of them fall into one or the other of the six great groups which during the classic work of the Harvard College Observatory ... received designations ... by the rather arbitrary letters B A F G K M. That there should be so few types is noteworthy, but much more remarkable is the fact that they form a continuous series ... Russell is of the opinion that the principal differences in the stellar spectra arise in the main from variations in single physical variable in the stellar atmosphere ...".

More commonly known as the " school hall ", the J. C. Hoskin Performing Arts Centre, named after the school's founding principal ( see history above ), is used as a multi-purpose facility.

) More recently this has developed into ‘ principal – agent ’ analysis ( e. g. Spence and Zeckhauser and Ross ( 1973 ) on problems of contracting with asymmetric information ) which models a widely applicable case where a principal ( a shareholder or firm for example ) cannot costlessly infer how an agent ( a manager or supplier, say ) is behaving.

More recent efforts show promise for creating nanodevices for very large scale principal components analyses and convolution.

More than its principal rival Electronic News, it balanced its appeal to managerial and technical interests ( at the time of its 1992 makeover, it described itself as a magazine for managers ).