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 recently, scholars have questioned the perception of Thucydides as simply " the father of realpolitik ".

More broken coastlines have greater D and therefore L is longer for the same ε. Mandelbrot showed that D is independent of ε.

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 specifically, Helge von Koch showed in 1901 that, if and only if the Riemann hypothesis is true, the error term in the above relation can be improved to

Believing that More showed great potential, Morton nominated him for a place at Oxford University ( either in St. Mary's Hall ( Oriel ) or Canterbury College ), where More began his studies in 1492.

More precisely, they showed that there existed positive constants c and C such that for all sufficiently large numbers N, every even number less than N is the sum of two primes, with at most exceptions.

More and more an investigation conducted towards 1790 by the British Army showed that horse-mounted troops were less infected by smallpox than infantry, and this due to a major exposure to the similar horse pox virus ( Variola equina ).

More precisely, Diaconis showed that it takes 5 shuffles before the total variation distance of a 52-card deck begins to drop significantly from the maximum value of 1. 0, and 7 shuffles before it drops below 0. 5 very quickly ( a threshold phenomenon ), after which it is reduced by a factor of 2 every shuffle.

More than 600 people showed up at the official opening of Red Bird on August 10, 1907.

More specifically, a 1992 study showed that " 52 % of surveyed students indicated having a moderate to high need for help concerning procrastination ".

More recently ( 2001 and 2002 ), Bailey and Richard Crandall showed that the existence of this and similar formulas has implications for the long-standing question of " normality " – whether and why the digits of certain mathematical constants ( including pi ) appear " random " in a particular sense.

More recently, a study of tail spikes by McWhinney et al., which showed a high incidence of trauma-related damage, lends more weight to the position that the spikes were indeed used in combat.

More than ten thousand people showed up to greet her upon her arrival, and poet Louis-Honoré Fréchette composed a poem in her honour which he read at a reception.

More precisely, he showed that:

* Faith No More lead singer Mike Patton also showed he was obviously miming a performance by sticking his tongue out of the side of his mouth during close-up shots.

More recent palynological studies showed that modern species assemblages are ephemeral ; vegetation in eastern North America since the last glacial maximum has consisted of several different species assemblages, many of which have no analogues in modern " climax " communities.

A great supporter of the work and importance of Mary Anning, of Lyme Regis, De la Beche drew a sketch, in 1830, entitled Duria Antiquior-A More Ancient Dorset, which showed Mary Anning's finds: ( three types of Ichthyosaur, a Plesiosaur and Dimorphodon ).

More recently, satellite images showed the trails of dust devils on Gusev's floor.

More than 50, 000 people showed up to pay him one final salute.

Digital Lifestyle illustrated the connection between technology and everyday life and lessons on do-it-yourself projects ; My Media focused on the multimedia aspects of technology ; More Gadgets showed all the latest in " tech toys "; and Tech To Go showcased technology that can be used on-the-go.

More mature, polished, harder and reflective of a specific moment in the band's career, Territory = Universe showed that Acumen had a dense multi-layered sound that could pulse on the dancefloor and was underscored with emotion.

Play One More their offering of 1965, showed a move toward the electrified folk-like music that was becoming popular with groups like the Byrds and the Lovin ' Spoonful.

More recent research investigating the effects of impression management on social behaviour showed that social behaviours ( e. g. eating ) can serve to convey a desired impression to others and enhance one ’ s self-image.

More rigorous public polls taken during 2006 showed an increasing majority of the population, up to 80 %, supporting the introduction of some partnership rights for gay couples, with a slim majority favouring full marriage.