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More and formally
More formally, it is the theoretical temperature at which entropy reaches its minimum value.
More formally, the complexity of a string is the length of the shortest possible description of the string in some fixed universal description language ( the sensitivity of complexity relative to the choice of description language is discussed below ).
More formally, a block cipher is specified by an encryption function
More formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets ( sets that have the same cardinality as subsets of the natural numbers, including rational numbers but not real numbers ).
More formally design has been defined as follows.
More formally, it is " the study of mathematical models of conflict and cooperation between intelligent rational decision-makers.
More formally, such coordinates can be obtained from three-dimensional coordinates using the artifice of a map projection.
More formally, a " representation " means a homomorphism from the group to the automorphism group of an object.
More formally, case has been defined as " a system of marking dependent nouns for the type of relationship they bear to their heads.
More formally, if a, b, c, and d are all integers, then the fraction < sup > a </ sup >⁄< sub > b </ sub > is irreducible if and only if there is no other equal fraction < sup > c </ sup >⁄< sub > d </ sub > such that | c | < | a | or | d | < | b |, where | a | means the absolute value of a.
More formally, the Klein bottle is the quotient space described as the square × with sides identified by the relations for and for:
More formally, a lexicon is a language's inventory of lexemes.
More formally, the environment is modeled as a Markov decision process ( MDP ) with states and actions with the following probability distributions: the instantaneous cost distribution, the observation distribution and the transition, while a policy is defined as conditional distribution over actions given the observations.
( More work is required to derive this result formally.
More formally, statistical theory defines a statistic as a function of a sample where the function itself is independent of the sample's distribution ; that is, the function can be stated before realization of the data.
More formally, # P is the class of function problems of the form " compute ƒ ( x )," where ƒ is the number of accepting paths of a nondeterministic Turing machine running in polynomial time.
More formally, the output must satisfy two conditions:
More formally, we can state the Transfinite Recursion Theorem as follows.
More formally, ubiquitous computing is defined as " machines that fit the human environment instead of forcing humans to enter theirs.
More formally, complex systems often exhibit hysteresis.
More formally, two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i. e., a combination of translations, rotations and reflections.
More formally, linear programming is a technique for the optimization of a linear objective function, subject to linear equality and linear inequality constraints.
More formally, ( X, Σ, μ ) is complete if and only if
More formally, we can think of a truth condition as what makes for the truth of a sentence in an inductive definition of truth ( for details, see the semantic theory of truth ).

More and set
The actual function of patristic communism was adequately set forth by St. Gregory almost a millenium before More wrote Utopia.
More precisely, a binary operation on a non-empty set S is a map which sends elements of the Cartesian product S × S to S:
More recently, an effort to replace CPAN. pm with something cleaner and more modern has resulted in the CPANPLUS or CPAN ++ set of modules.
More recently, beginning at the 1997 CHOGM, the meeting has had an official ' theme ', set by the host nation, on which the primary discussions have been focused.
More soldiers were now arriving and three weeks later a force of 20, 000 set off again to relieve Peking.
More specifically, an equation of state is a thermodynamic equation describing the state of matter under a given set of physical conditions.
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 explicitly, the action groupoid is the set with source and target maps s ( g, x )
More flexibility in selecting which strings play is available in harpsichords having more than one keyboard or manual, since each manual can control the plucking of a different set of strings.
More complex rewritings involving modus tollens are often seen, for instance in set theory:
More specifically, the term describes the modernist movement in the arts, its set of cultural tendencies and associated cultural movements, originally arising from wide-scale and far-reaching changes to Western society in the late 19th and early 20th centuries.
More recently, a comprehensive set of machine-checked proofs has been performed of the properties of the protection model of seL4, a version of L4.
More generally, whenever an ideal is taken as understood, then a null set is any element of that ideal.
More specifically, it is the set of expressed proteins in a given type of cells or an organism at a given time under defined conditions.
* The More Short Trips short story " Special Weapons ", set late in season 24, indicates that the Seventh Doctor has a sonic screwdriver.
More generally, in a metric space ( E, d ), the sphere of center x and radius is the set of points y such that.
More importantly, the Giants set an NFL record by losing only 14 turnovers in a 16-game regular season.
More generally, one can define objects by transfinite recursion on any well-founded relation R. ( R need not even be a set ; it can be a proper class, provided it is a set-like relation ; that is, for any x, the collection of all y such that y R x must be a set.
The success More enjoyed in educating his daughters set an example for other noble families.
At the request of Henry VIII, More set about composing a rebuttal: the resulting Responsio ad Lutherum was published at the end of 1523.
More specifically, HTML 4. 0 documents are required to consist of characters in the HTML document character set: a character repertoire wherein each character is assigned a unique, non-negative integer code point.
More sophisticated transformations include set operations on closed shapes ( union, difference, intersection, etc.

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