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 specifically, every morphism in C must be assigned to a morphism in D. In other words, a contravariant functor acts as a covariant functor from the opposite category C < sup > op </ sup > to D.

More recently, it has been applied to emigrant groups that continue their involvement in their homeland from overseas, such as the category of long-distance nationalists identified by Benedict Anderson.

More abstractly, one talks about the product in category theory, which formalizes these notions.

More recent Governors-General in this category include Lord Casey, Sir Paul Hasluck, Sir John Kerr, Sir Ninian Stephen, Bill Hayden and Sir William Deane.

More generally, if C is an arbitrary abelian category that has enough injectives, then so does C < sup > I </ sup >, and the right derived functors of the inverse limit functor can thus be defined.

More general concepts are the limits and colimits of category theory.

More recently, Y. pestis has gained attention as a possible biological warfare agent and the CDC has classified it as a category A pathogen requiring preparation for a possible terrorist attack.

More generally, if J is any category with an initial object i, then any diagram of type J has a limit, namely any object isomorphic to F ( i ).

More research needs to be done in this area to empirically show that perseverance belongs in its own distinct category.

More precisely: if A is an abelian group and we denote by m the group multiplication of A, by e the inclusion of the identity element, and by inv the inversion operation on A, then ( A, m, e, inv ) is a group object in the category of groups ( or monoids ).

More precisely, Ab is a closed monoidal category.

More generally, biproducts exist in the category of modules over a ring.

More generally, every module category over a ring is additive, and so in particular, the category of vector spaces over a field is additive.

More generally, the notion of an exact sequence makes sense in any category with kernels and cokernels.

More formally, a commutative diagram is a visualization of a diagram indexed by a poset category:

More recent longevity claims are subcategorized by many editions of Guinness World Records into four groups: " In late life, very old people often tend to advance their ages at the rate of about 17 years per decade .... Several celebrated super-centenarians ( over 110 years ) are believed to have been double lives ( father and son, relations with the same names or successive bearers of a title ) .... A number of instances have been commercially sponsored, while a fourth category of recent claims are those made for political ends ...." The estimate of 17 years per decade was corroborated by the 1901 and 1911 British censuses.

More generally, the cokernel of a morphism f: X → Y in some category ( e. g. a homomorphism between groups or a bounded linear operator between Hilbert spaces ) is an object Q and a morphism q: Y → Q such that the composition q f is the zero morphism of the category, and furthermore q is universal with respect to this property.

More formally, a Lie supergroup is a supermanifold G together with a multiplication morphism, an inversion morphism and a unit morphism which makes G a group object in the category of supermanifolds.

More precisely, deformation can be accomplished within the category of Hopf algebras that are not required to be either commutative or cocommutative.

More generally, a quiver in a category C is a functor Γ: Q → C.

More generally, one can define a sheaf for any Grothendieck topology on a category in a similar way.