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 generally, whenever an ideal is taken as understood, then a null set is any element of that ideal.

More generally, a principal ideal ring is a nonzero commutative ring whose ideals are principal, although some authors ( e. g., Bourbaki ) refer to PIDs as principal rings.

More than 90 % of Galgos can be considered cat-friendly and are therefore an ideal choice for the hound lover who also owns cats.

More coined the word " utopia " – a name he gave to the ideal and imaginary island nation, the political system of which he described in Utopia, published in 1516.

In his book, which was written in Latin, More sets out a vision of an ideal society.

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

More realistic, and often overlooked, options include long-term crop rotations, returning to natural cycles that annually flood cultivated lands ( returning lost nutrients indefinitely ) such as the Flooding of the Nile, the long-term use of biochar, and use of crop and livestock landraces that are adapted to less than ideal conditions such as pests, drought, or lack of nutrients.

More generally, Fish finds the idea of radical culture as an oppositional ideal in which context is continuously refined or rejected impracticable at best, and impossible at worst.

More generally, V ( I ) for any ideal I is the common set on which all the " functions " in I vanish, which is formally similar to the classical definition.

More generally, over any semisimple ring, every module is projective, but the zero ideal and the ring itself are the only free ideals.

More generally, in any ring with a minimal one sided ideal, " left primitive "=" right primitive "=" prime ".

More modern uses of saponins in biotechnology are as adjuvants in vaccines: Quil A and its derivative QS-21, isolated from the bark of Quillaja saponaria Molina, to stimulate both the Th1 immune response and the production of cytotoxic T-lymphocytes ( CTLs ) against exogenous antigens make them ideal for use in subunit vaccines and vaccines directed against intracellular pathogens as well as for therapeutic cancer vaccines but with the aforementioned side-effects of hemolysis.

More complex circuits still can achieve an output much closer to the ideal case.

More generally if is a 3-manifold such that it has an Alexander polynomial defined as the order ideal of its infinite-cyclic covering space.

More over, this decomposition is unique in the following sense: the set of associated prime ideals is unique, and the primary ideal above every minimal prime in this set is also unique.

More significant was the inclusion of a " Romanifesto " by Price and Parkes which ideologically defined Romo as the rejection of authenticity in music in favour of creative artifice, a militant Pop sensibility ( which placed Romo in direct opposition to both rockism and the values of alternative music ) and the ideal of recreating / reinventing oneself as a glamorous Star-type persona.

* Utopia, a name for an ideal community or society, taken from the title of a book written in 1516 by Sir Thomas More.

Crucially, his narrator Hythloday embodies the Platonic view that philosophers should not get involved in politics and his character of More has the more pragmatic Ciceronic view ; thus the society Hythloday proposes is the ideal More would want, but without communism, which he saw no possibility of occurring, it was wiser to take a more pragmatic view.