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 a k-combination of a set S is a subset of k distinct elements of S. If the set has n elements the number of k-combinations is equal to the binomial coefficient

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 often than not, as the Old Grad wanders along the old paths, his memory of happy days when he strolled one of the paths with a coed beside him becomes an ache and a pain.

More than one president has found that a long-range plan helps him to attract major gifts.

More stands on the margins of modernity for one reason alone -- because he wrote Utopia.

and More was far too well read not to have come across it in one or several of the forms thus given it.

More than 10 companies maintain facilities in Dallas and one large manufacturer is located to the north at Sherman.

More purely Hellenic myth would have Amathus settled instead by one of the sons of Heracles, thus accounting for the fact that he was worshiped there.

More than one string orchestra can be utilized.

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.

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 than one assignment may be performed in a single statement.

More than one time constant is needed when describing reactions of higher order.

More generally, one can consider finite direct sums of matrix algebras.

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

More generally one is interested in properties and invariants of smooth manifolds which are carried over by diffeomorphisms, another special kind of smooth mapping.

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

More than one television network exists in El Salvador: The Telecorporación Salvadoreña, or TCS, consists of 4 ( 2, 4, 6, 25 ) television stations in El Salvador.

More generally, the theory states that everything has both a particle nature and a wave nature, and various experiments can be done to bring out one or the other.

More generally, one may use the fact that the operators do not commute,

More recently the Exile games have been remade as the Avernum series, which replaced the two-dimensional tile-based graphics system with an isometric one and made numerous changes to the RPG system and some changes to the content.

* 1884 – More than sixty tornadoes strike the Southern United States, one of the largest tornado outbreaks in U. S. history.

More recently, however, different classes of spontaneous magnetization have been identified when there is more than one magnetic ion per primitive cell of the material, leading to a stricter definition of " ferromagnetism " that is often used to distinguish it from ferrimagnetism.

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.

Violence occurred at a small town called Patzicia, where about one thousand Indians rose in spontaneous outbursts: “ in honor of our General Ponce ,” and “ we want land .” More than twenty ladinos were killed during this demonstration.

" More Than a Memory " debuted at number one on the Billboard Hot Country Songs chart, becoming the highest-debuting single in the chart's history.

More than one century after Euler's paper on the bridges of Königsberg and while Listing introduced topology, Cayley was led by the study of particular analytical forms arising from differential calculus to study a particular class of graphs, the trees.