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 industrial acreage lies vacant in St. Clair county than in any other jurisdiction in the St. Louis area.

More time was spent in trying to marry these incompatibles than over any subject discussed at Yalta.

If, at any time during the assignment pass, the compiler finds that there are no more index words available for assignment, the warning message `` No More Index Words Available '' will be placed in the object program listing, the table will be altered to show that index words 1 through 96 are available, and the assignment will continue as before.

More than 20 million people live on farms and they own a fourth of the nation's trucks, buy more gasoline than any other industry and provide a major market for home appliances, chemicals and other products.

More efficient amplifiers run cooler, and often do not need any cooling fans even in multi-kilowatt designs.

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 precisely, given any small positive distance, all but a finite number of elements of the sequence are less than that given distance from each other.

More conceptually, this rule expresses the fact that a change in the x < sub > i </ sub > direction may change all of g < sub > 1 </ sub > through g < sub > k </ sub >, and any of these changes may affect f.

More Cessna 172s have been built than any other aircraft.

More recently, with the advent of personal computing, and the growth of home recording, the term computer music is now sometimes used to describe any music that has been created using computing technology.

* Change of any variable quantity, in mathematics and the sciences ( More specifically, the difference operator.

More generally, values may be of any of the kinds described as a level of measurement.

More specifically, " habitats can be defined as regions in environmental space that are composed of multiple dimensions, each representing a biotic or abiotic environmental variable ; that is, any component or characteristic of the environment related directly ( e. g. forage biomass and quality ) or indirectly ( e. g. elevation ) to the use of a location by the animal.

More generally, the ELIZA effect describes any situation where, based solely on a system's output, users perceive computer systems as having " intrinsic qualities and abilities which the software controlling the ( output ) cannot possibly achieve " or " assume that reflect a greater causality than they actually do.

More modern Soviet designs, including the MiG-3, LaGG-3 and Yak-1, had not yet arrived in numbers and in any case were still inferior to the Messerschmitt Bf 109.

More generally, the fundamental group of any graph is a free group.

More than any single factor though, firearms have proliferated due to the advent of mass production-enabling arms manufacturers to produce large quantities of weaponry to a consistent standard.

More precisely, he showed that a random graph on vertices, formed by choosing independently whether to include each edge with probability has, with probability tending to 1 as goes to infinity, at most cycles of length or less, but has no independent set of size Therefore, removing one vertex from each short cycle leaves a smaller graph with girth greater than in which each color class of a coloring must be small and which therefore requires at least colors in any coloring.

More recent examples of usage for almost any type of playful cleverness are wetware hackers (" hack your brain "), media hackers and " hack your reputation ".

More generally any quadratically closed subfield of or will suffice for this purpose, e. g., the algebraic numbers, but when it is a proper subfield ( i. e., neither nor ) even finite-dimensional inner product spaces will fail to be metrically complete.

: More generally, any Euclidean space < sup > n </ sup > with the dot product is an inner product space

More players have won the coveted Ballon d ' Or award while playing at a Serie A club than any other league in the world.

More compounds of carbon exist than any other chemical element except for hydrogen.

:" More than any other single factor or incident, Mojave Desert incident from Frémont's second expedition report is where the Kit Carson legend was born ..."