Every deterministic complexity class ( DSPACE ( f ( n )), DTIME ( f ( n )) for all f ( n )) is closed under complement, because one can simply add a last step to the algorithm which reverses the answer.

Every regular language is context-free, every context-free language, not containing the empty string, is context-sensitive and every context-sensitive language is recursive and every recursive language is recursively enumerable.

* Every regular language is context-free because it can be described by a context-free grammar.

Every grammar in Chomsky normal form is context-free, and conversely, every context-free grammar can be transformed into an equivalent one which is in Chomsky normal form.

Every context-free grammar can be transformed into an equivalent pushdown automaton.

Every context-free grammar can be transformed into an equivalent grammar in Greibach normal form.

Every species can be given a unique ( and, one hopes, stable ) name, as compared with common names that are often neither unique nor consistent from place to place and language to language.

In this picture of language we find the roots of the following idea: Every word has a meaning.

* natural language — Every good boy deserves fruit ; and

They draw three conclusions from Austin: ( 1 ) A performative utterance does not communicate information about an act second-hand — it is the act ; ( 2 ) Every aspect of language (" semantics, syntactics, or even phonematics ") functionally interacts with pragmatics ; ( 3 ) There is no distinction between language and speech.

The philosophe Condillac observed in 1782 that " Every science requires a special language because every science has its own ideas.

Every data source has a different data-access language ( or API ), driving up the costs to learn and use each vendor's product.

Every year the association coordinates the day of French language within International Organisations ( 2010 ). It also organizes seminaries to increase awareness about the importance of linguistic, cultural and conceptual diversity.

Every friend of science ought to be opposed to the introduction into a modern language of names of plants that are not already there, unless they are derived from a Latin botanical name that has undergone but a slight alteration.

Every language has a word expressing good in the sense of " having the right or desirable quality " ( ἀρετή ) and bad in the sense " undesirable ".

Every academician might use his favourite form of Interlingua, the term being initially used in a general sense as a synonym for international language, yet it soon began to be specially used to denote a reformed Latino sine flexione based on the common rules the academicians were reaching by frequent votings.

Every foreign group at the Jamboree was assigned a " cousin "— a Hungarian Scout who spoke their language and served as translator and guide.

Every year, both Mentrau Iaith Cymru and Cymdeithas yr Iaith Gymraeg host separate ' Battle of the Bands ' competitions for unsigned Welsh language bands, that are sponsored by the C2 radio show.

Every person who is arrested or detained must be informed in writing, in a language they understand, of the reasons for the detention and of the nature of the charges.

Every night, Russell claimed he gave Cosmatos a shot list for the next day, and developed a " secret sign language " on set to exert influence.

Every quasi-realtime language can be accepted in real time by a non-deterministic one stack, one pushdown store machine, and can be e ...

The genre soon became very popular ; the intricately-plotted romantic comedies of Shakespeare and John Lyly that had been in vogue on the public and private stages until this point were largely superseded by plays which were set in a recognizable contemporary London, and which dealt with, in Ben Jonson's words, " deeds and language such as men do use " ( Prologue to Every Man in his Humour ).

Every wire was able to be traced from origin to destination with software and the weight of the cable interconnecting cabinets was automatically calculated by an RCA 501 machine language program named " signal path " written by Robert Goerss, computing facility director.

Every such subset has a smallest element, so to specify our choice function we can simply say that it maps each set to the least element of that set.

** Well-ordering theorem: Every set can be well-ordered.

Every information exchange between living organisms — i. e. transmission of signals that involve a living sender and receiver can be considered a form of communication ; and even primitive creatures such as corals are competent to communicate.

Every context-sensitive grammar which does not generate the empty string can be transformed into an equivalent one in Kuroda normal form.

Every real number has a ( possibly infinite ) decimal representation ; i. e., it can be written as

Every module over a division ring has a basis ; linear maps between finite-dimensional modules over a division ring can be described by matrices, and the Gaussian elimination algorithm remains applicable.

Every entire function can be represented as a power series that converges uniformly on compact sets.

Group actions / representations: Every group G can be considered as a category with a single object whose morphisms are the elements of G. A functor from G to Set is then nothing but a group action of G on a particular set, i. e. a G-set.

Every positive integer n > 1 can be represented in exactly one way as a product of prime powers:

Every sequence can, thus, be read in three reading frames, each of which will produce a different amino acid sequence ( in the given example, Gly-Lys-Pro, Gly-Asn, or Glu-Thr, respectively ).

Every hyperbola is congruent to the origin-centered East-West opening hyperbola sharing its same eccentricity ε ( its shape, or degree of " spread "), and is also congruent to the origin-centered North-South opening hyperbola with identical eccentricity ε — that is, it can be rotated so that it opens in the desired direction and can be translated ( rigidly moved in the plane ) so that it is centered at the origin.

Every holomorphic function can be separated into its real and imaginary parts, and each of these is a solution of Laplace's equation on R < sup > 2 </ sup >.

Every vector v in determines a linear map from R to taking 1 to v, which can be thought of as a Lie algebra homomorphism.

Every morpheme can be classified as either free or bound.

Every use of modus tollens can be converted to a use of modus ponens and one use of transposition to the premise which is a material implication.

Every document window is an object with which the user can work.

Every adult, healthy, sane Muslim who has the financial and physical capacity to travel to Mecca and can make arrangements for the care of his / her dependants during the trip, must perform the Hajj once in a lifetime.

Every ordered field can be embedded into the surreal numbers.

* Every finite topological space gives rise to a preorder on its points, in which x ≤ y if and only if x belongs to every neighborhood of y, and every finite preorder can be formed as the specialization preorder of a topological space in this way.

* Every preorder can be given a topology, the Alexandrov topology ; and indeed, every preorder on a set is in one-to-one correspondence with an Alexandrov topology on that set.

Every binary relation R on a set S can be extended to a preorder on S by taking the transitive closure and reflexive closure, R < sup >+=</ sup >.