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 weight towards the rim will make the yo-yo more stable for string tricks ; more weight towards the center will make the yo-yo easier to turn and therefore better for looping tricks.

More complex motions, such as climbing a fence or spinning a yo-yo " around the world " fashion, require controller motions designed to replicate the actual action being undertaken by the character.

More realistic models are tailored to a specific problem and include the transition state theory, the calculation of the potential energy surface, the Marcus theory and the Rice – Ramsperger – Kassel – Marcus ( RRKM ) theory.

More recent research indicates that the problem, while perhaps less severe, is a long way from being solved.

More mathematically, for example, the problem of constructing a diffeomorphism between two manifolds of the same dimension is inherently global since locally two such manifolds are always diffeomorphic.

More recently, Martin Heidegger used " lēthē " to symbolize the " concealment of Being " or " forgetting of Being " that he saw as a major problem of modern philosophy.

More precisely, changing the parameter a gives a different ( though related ) problem, whereas the variations of the variables x and y ( and their interrelation ) are part of the problem itself.

More recently, it has appeared in the lower-dimensional many-bodied gravity problem

More fundamentally, Hilbert's first problem was on the continuum hypothesis.

More precisely, if A is a finite set of generators for G then the word problem is the membership problem for the formal language of all words in A and a formal set of inverses that map to the identity under the natural map from the free monoid with involution on A to the group G. If B is another finite generating set for G, then the word problem over the generating set B is equivalent to the word problem over the generating set A.

More recent work has suggested the problem may be indirect evidence of a cyclic universe possibly as allowed by string theory.

More attention was placed on the availability of consumer goods, and the construction of new housing was accelerated, with Honecker promising to " settle the housing problem as an issue of social relevance ".

More focused on the problem than IPS, a DoS Defense System ( DDS ) is able to block connection-based DoS attacks and those with legitimate content but bad intent.

More than 60 different species of wildlife have been reported in Australia as victims of entanglement on barbed wire fences, and the wildlife friendly fencing project is beginning to address this problem.

More recent historiography may have gone some way to addressing this problem.

More formally, if denotes the set of all options and denotes the set of " satisficing " options, then selecting a satisficing solution ( an element of ) is equivalent to the following optimization problem

More advanced columns overcome this problem by constantly monitoring the eluent.

More recently flooding has been a problem, the town flooding four times in 2006.

More work languishes in personal files than is published, but this is a standard problem.

More fundamental to the problem, however, is the very existence of a fixed background, which Einstein describes as " the fixed stars.

More often than not, a particular algorithm can be specifically tailored to a particular problem, yielding better performance than a generic algorithm.

More recently, critical theorists such as Nikolas Kompridis have voiced opposition to Habermas, claiming that he has undermined the aspirations for social change which originally gave purpose to critical theory's various projects — for example the problem of what reason should mean, the analysis and enlargement of " conditions of possibility " for social emancipation, and the critique of modern capitalism.