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 word class ratios determined in more languages will no doubt ultimately answer the question.

More extensive microcoding has also been used to allow small and simple microarchitectures to emulate more powerful architectures with wider word length, more execution units and so on ; a relatively simple way to achieve software compatibility between different products in a processor family.

" More generally in eighteenth-century Great Britain, Cicero's name was a household word among educated people.

More coined the word " utopia " – a name he gave to the ideal and imaginary island nation, the political system of which he described in Utopia, published in 1516.

The word was coined in Greek by Sir Thomas More for his 1516 book Utopia, describing a fictional island in the Atlantic Ocean.

More precisely, if A is a finite set of generators for G then the word problem is the membership problem for the formal language of all words in A and a formal set of inverses that map to the identity under the natural map from the free monoid with involution on A to the group G. If B is another finite generating set for G, then the word problem over the generating set B is equivalent to the word problem over the generating set A.

The word utopia was first used in this context by Sir Thomas More in his 1516 work Utopia.

More traditional uses of the word were associated with

More formally, a Gray code is a code assigning to each of a contiguous set of integers, or to each member of a circular list, a word of symbols such that each two adjacent code words differ by one symbol.

More rarely it describes the highest male solo voice type ( usually designated countertenor ), and it is also the root word of contralto, the lowest standard female voice type.

More recently, the idea has been " borrowed " by Barbara Wallraff for her new book Word Fugitives: In Pursuit of Wanted Words, where " word fugitives " is her term for invented words.

More serious speculation about the origins of the word chad suggests derivation from the Scottish name for river gravel, chad, or the British slang for louse, chat.

More precisely, Aaru was envisaged as a series of islands, covered in " fields of rushes " ( Sekhet Aaru ), Aaru being the Egyptian word for rushes.

More recent research suggests the pre-Indo-European word for a rockface was pal or bal and that the name refers to Pau's position at the foot of the mountains.

More precisely, the characteristic property of B ( m, n ) is that, given any group G with m generators g < sub > 1 </ sub >,…, g < sub > m </ sub > and of exponent n, there is a unique homomorphism from B ( m, n ) to G that maps the ith generator x < sub > i </ sub > of B ( m, n ) into the ith generator g < sub > i </ sub > of G. In the language of group presentations, free Burnside group B ( m, n ) has m generators x < sub > 1 </ sub >,…, x < sub > m </ sub > and the relations x < sup > n </ sup > = 1 for each word x in x < sub > 1 </ sub >,…, x < sub > m </ sub >, and any group G with m generators of exponent n is obtained from it by imposing additional relations.

More specifically, the word " chapel " is derived from a relic of Saint Martin of Tours: traditional stories about Martin relate that while he was still a soldier, he cut his military cloak in half to give part to a beggar in need.

More generally, narrative knowledge represents an endlessly mutating reservoir of ideas, recipes and stories that are traded mostly by word or mouth on the internet.

" More recent historians believe that Shenewemedy was how the Agawam pronounced New Meadows, rather than a word in their own language.

More generally, it can be used to denote the head of any hierarchically structured group of people, often as a compound word.

Between the 14th and 17th centuries the " super Mare " part of the name disappeared and it was just known as Weston, although in 1610 it was recorded as Weston on the More ; môr being the Welsh word for sea.

More specifically, it is an error-correcting code capable of correcting up to three errors in each 24-bit word, and detecting a fourth.

More generally, the word spinet was not always very sharply defined in former times, particularly in its French and Italian cognate forms épinette and spinetta.