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 rigorously, the divergence of a vector field F at a point p is defined as the limit of the net flow of F across the smooth boundary of a three dimensional region V divided by the volume of V as V shrinks to p. Formally,

These include Richard Kirwan, John Smeaton, Henry Moyes, John Michell, Pieter Camper, R. E. Raspe, John Baskerville, Thomas Beddoes, John Wyatt, William Thomson, Cyril V. Jackson, Jean-André Deluc, John Wilkinson, John Ash, Samuel More, Robert Bage, James Brindley, Ralph Griffiths, John Roebuck, Thomas Percival, Joseph Black, James Hutton, Benjamin Franklin, Joseph Banks, William Herschel, Daniel Solander, John Warltire, George Fordyce, Alexander Blair, Samuel Parr, Louis Joseph d ' Albert d ' Ailly, the seventh Duke of Chaulnes, Barthélemy Faujas de Saint-Fond, Grossart de Virly ,, Johann Gottling.

After undertaking a diplomatic mission to the Holy Roman Emperor, Charles V, accompanying Thomas Wolsey to Calais and Bruges, More was knighted and made under-treasurer of the Exchequer in 1521.

This last manuscript, saved from the confiscation decreed by Henry VIII, passed by the will of his daughter Margaret to Spanish hands and through Fray Pedro de Soto, confessor of Emperor Charles V, went to Valencia, home of Luis Vives, a close friend of More.

More generally, let V be a vector space over a field K, and let

Thomas More wrote that, during his examination, Tyrrell made his confession as to the murders of King Edward V of England and his brother Richard of Shrewsbury, 1st Duke of York.

More generally still, the general linear group of a vector space GL ( V ) is the abstract automorphism group, not necessarily written as matrices.

More generally we consider a Hermitian map A on a finite-dimensional real or complex inner product space V endowed with a positive definite Hermitian inner product.

More precisely, if V is a vector space over &# x211D ;, the inner product is a function

More recent scholarship includes V. Saunier's two-volume Sorbonne dissertation on the poet ( Paris, 1948 ), as well as three excellent critical editions by Eugène Parturier ( Paris, 1916, reissued 2001 with an introduction and bibliography by C. Alduy ), I. D McFarlane ( Cambridge, 1966 ) and Gérard Defaux ( Geneva, 2004 ).

A net ( x < sub > α </ sub >) is a Cauchy net if for every entourage V there exists γ such that for all α, β ≥ γ, ( x < sub > α </ sub >, x < sub > β </ sub >) is a member of V. More generally, in a Cauchy space, a net ( x < sub > α </ sub >) is Cauchy if the filter generated by the net is a Cauchy filter.

Later that evening, a fourteen minute segment from the wooing scene of Henry V was screened, directed by George More O ' Ferrall and starring Henry Oscar as Henry and Yvonne Arnaud as Katherine.

" More importantly, her father was a vassal of Henry V, Holy Roman Emperor, son-in-law of Henry.

More generally, in an n-dimensional Euclidean space V, if a basis is

More refined black boxes placed a diode in parallel with the resistor to provide a larger DC pulse to activate the F relay than if only a resistor was used, or replaced the resistor with a 36 V Zener diode which regulated the voltage drop across the telephone to a level where the D relay would not activate, regardless of the length of the local loop.

More generally and abstractly, given any group G and a representation of G on a vector space V,

William Roper, in his Life of More, says that Elyot was on a second embassy to Charles V in the winter of 1535-1536 and received the news of More's execution while at Naples.

More information can be found in Annex 1 of V. C I ( d ) 11, pp. 346-364, Volume VI of the unabridged Study of History.

More generally, if the axiom of choice holds, it is provable that if there is a nontrivial elementary embedding of V < sub > α </ sub > into itself then α is either a limit ordinal of cofinality ω or the successor of such an ordinal.

More protection was provided by Proclamation No. 1037 signed by then President Fidel V. Ramos upon the recommendation of the DENR on July 1, 1997 which establish the Chocolate Hills and the areas within, around, and surrounding them located in the Municipalities of Carmen, Batuan and Sagbayan, Bilar, Valencia and Sierra Bullones, Province of Bohol as a natural monument to protect and maintain its natural beauty and to provide restraining mechanisms for inappropriate exploitation.

( Descartes, Meditation V: On the Essence of Material Objects and More on God's Existence ).