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 recent theories have accepted that categories may have an ill-defined or " fuzzy " structure and have proposed probabilistic or global similarity models for the verification of category membership.

More current shows use video recreations in color, with letterboxing and a ' fuzzy ' look.

More ambitious was the Logic Theory Machine, a deduction system for the propositional logic of the Principia Mathematica, developed by Allen Newell, Herbert A. Simon and J. C. Shaw.

More recently Kripke's formalisation of possible world semantics in modal logic led to a new approach to essentialism.

* More ambitious 4GLs ( sometimes termed fourth generation environments ) attempt to automatically generate whole systems from the outputs of CASE tools, specifications of screens and reports, and possibly also the specification of some additional processing logic.

More recently, these tables have been used to represent the outcomes of logic operations, such as truth tables, which were used to study and model Boolean logic, for example.

More refined paradigms include procedural programming, object-oriented programming, functional programming, and logic programming ; some languages are hybrids of paradigms or multi-paradigmatic.

More recently, as the number of interconnect levels for logic has substantially increased due to the large number of transistors that are now interconnected in a modern microprocessor, the timing delay in the wiring has become significant prompting a change in wiring material from aluminium to copper and from the silicon dioxides to newer low-K material.

More complex logic functions such as those involving AND and OR gates require manipulating the paths between gates to represent the logic.

More importantly, the very idea that formal rules can be applied to areas outside of logic or mathematics, may itself have been catalyzed by Europe's contact with the work of Sanskrit grammarians.

More board space was occupied by signal conversion logic.

More recently, mathematical logic has often included the study of new pure mathematics, such as set theory, recursion theory and pure model theory, which is not directly related to metamathematics.

More complex analysis than fan-in and fan-out is required when two different logic families are interconnected.

More recently a number of theorists have sought to account for relevance in terms of " possible world logics " in intensional logic.

More recently Mark A. Fryman ( 2001 ) stated that there are more differences: " Decision flowcharts, logic flowcharts, systems flowcharts, product flowcharts, and process flowcharts are just a few of the different types of flowcharts that are used in business and government ".

More sophisticated timers may have comparison logic to compare the timer value against a specific value, set by software, that triggers some action when the timer value matches the preset value.

More generally, game semantics may be applied to predicate logic ; the new rules allow a dominant quantifier to be removed by its " owner " ( the Verifier for existential quantifiers and the Falsifier for universal quantifiers ) and its bound variable replaced at all occurrences by an object of the owner's choosing, drawn from the domain of quantification.

More formally, let us use variable x to denote abusively the tuple of variables involved in statement S. Then, a given Hoare triple is provable in Hoare logic for total correctness if and only if the first-order predicate below holds:

More recently, Michael Wooldridge has extended BDICTL to define LORA ( the Logic Of Rational Agents ), by incorporating an action logic.

More recent logic browsers have appeared as BackTalk and SOUL ( Smalltalk Open Unification Language with LiCor, or library for code reasoning ) for Squeak and VisualWorks Smalltalk.

More radical visualizations include showing statement lists as nested boxes, editing conditional expressions as logic gates, or re-rendering names in Chinese.

More information available at Multi-adjoint logic programming.