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, if the manifold is an Einstein manifold ( Ricci = constant × metric ), then Ricci flow will collapse it to a point if it has positive curvature, leave it invariant if it has zero curvature, and expand it if it has negative curvature.

More generally, the imaginary parts of the eigenvalues of the anisotropic dielectric tensor should be considered.

A metric tensor g on M assigns to each point p of M a metric g < sub > p </ sub > in the tangent space at p in a way that varies smoothly with p. More precisely, given any open subset U of manifold M and any ( smooth ) vector fields X and Y on U, the real function

More generally, a metric tensor in dimension n other than 4 of signature ( 1, n − 1 ) or ( n − 1, 1 ) is sometimes also called Lorentzian.

More generally the ring of adeles A < sub > F </ sub > of any algebraic number field F is the tensor product

More precisely, a tensor field assigns to any given point of the manifold a tensor in the space

More generally, if we have a differentiable tensor field T of rank and a differentiable vector field Y ( i. e. a differentiable section of the tangent bundle TM ), then we can define the Lie derivative of T along Y.

More generally, any covariant tensor field – in particular any differential form – on N may be pulled back to M using φ.

By taking Φ equal to the ( pointwise ) differential of a smooth map φ from M to N, the pullback of multilinear forms can be combined with the pullback of sections to yield a pullback ( 0, s ) tensor field on M. More precisely if S is a ( 0, s )- tensor field on N, then the pullback of S by φ is the ( 0, s )- tensor field φ < sup >*</ sup > S on M defined by

More generally ε may be replaced by a tensor, may depend upon the electric field itself, and may exhibit time dependence ( dispersion ).

More technically, quantum geometry refers to the shape of the spacetime manifold as seen by D-branes which includes the quantum corrections to the metric tensor, such as the worldsheet instantons.

More formally, the electrostriction coefficient is a fourth rank tensor (), relating second order strain () and first order polarization tensors (, ).

More generally, a vacuum region in a Lorentzian manifold is a region in which the Einstein tensor vanishes.

More extended DTI scans derive neural tract directional information from the data using 3D or multidimensional vector algorithms based on six or more gradient directions, sufficient to compute the diffusion tensor.

More than that, Sam Rayburn is the very living symbol of an iron-clad integrity so powerful in his nature and so constantly demonstrated that he can count some of his best friends in the opposition.

More unitized lumber is being shipped on flat cars, and NLRDA studies show that flat cars loaded with the new Type 6-B floating-load method can be unloaded for as little as $.054/mbf.

More and more boats move overland on wheels ( 1.8 million trailers are now in use ) and Midwesterners taking long weekends can travel south with their craft.

More indirectly, Christie ’ s famous character of Hercule Poirot can be compared to an archaeologist in his detailed scrutiny of all facts both large and small.

More alpha channels can be added for accurate spectral color filtration applications.

More technically, the law is concerned with the speedup achievable from an improvement to a computation that affects a proportion P of that computation where the improvement has a speedup of S. ( For example, if an improvement can speed up 30 % of the computation, P will be 0. 3 ; if the improvement makes the portion affected twice as fast, S will be 2.

More than one string orchestra can be utilized.

More general type of asymptotes can be defined in this case.

More can participate, either as individuals or pairs or as teams of up to six, in formal tournaments or social gatherings where the governing rules of the event are prescribed by the sponsoring host.

More explicitly it can be written as:

More than half of these can be found in the HSBC Money Gallery ( Gallery 68 ), while the remainder form part of the permanent displays throughout the Museum.

More direct government involvement can lead to specific areas of crony capitalism, even if the economy as a whole may be healthy.

More complicated grammars can be used to parse, and other languages with even more letters.

More precisely, objects can be reachable in only two ways:

More recent developments have seen the conversion of AVLB and truck launched bridge with launching systems that can be mounted on either tank or truck for bridges that are capable of supporting heavy main battle tanks.

More precisely, it tries to classify problems that can or cannot be solved with appropriately restricted resources.

More and more frequently can the American habit of having men dressed as Święte Mikołaje at malls to hear out children's requests be observed in Poland.

More detailed pictures of the tangle of blood vessels that compose an AVM can be obtained by using radioactive agents injected into the blood stream.

More generally a disjunction is a logical formula that can have one or more literals separated only by ORs.

More links are then connected to that person ’ s link so you can remember what colour their shirt was, what the weather was like when you met them, etc.