Every regular ordinal is the initial ordinal of a cardinal.

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

* Every metric space is Tychonoff ; every pseudometric space is completely regular.

* Every locally compact regular space is completely regular, and therefore every locally compact Hausdorff space is Tychonoff.

* Every topological group is completely regular.

* Every normal regular space is completely regular, and every normal Hausdorff space is Tychonoff.

* Every subspace of a completely regular or Tychonoff space has the same property.

* Every Borel set E is outer regular:

* Every open set E is inner regular:

Every regular space is locally regular, but the converse is not true.

Every such space is regular.

Nordau saw in Jewish Emancipation the result of ' a regular equation: Every man is born with certain rights ; the Jews are human beings, consequently the Jews are born to own the rights of man.

Every regular map of varieties is continuous in the Zariski topology.

Every such regular cover is a principal G-bundle, where G = Aut ( p ) is considered as a discrete topological group.

Every universal cover p: D → X is regular, with deck transformation group being isomorphic to the fundamental group.

Every fourth year when the games were also held, the festival was known as the " Great Panathenaia ," and was 3 or 4 days longer than the regular festival.

“ Every three months ( after regular cleaning ) the wheels should be coated with petroleum jelly .”

Every US President since Roosevelt has delivered a regular address.

Every polyhedron, regular and irregular, convex and concave, has a dihedral angle at every edge.

Every extremal monomorphism is regular.

Every extremal epimorphism is regular.

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 deterministic context-free language can be accepted by a deterministic finite delay pda with jumps.

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 legislator from Brasstown Bald to Folkston is going to have his every vote subjected to the closest scrutiny as a test of his political allegiances, not his convictions.

Every detail in his interpretation has been beautifully thought out, and of these I would especially cite the delicious laendler touch the pianist brings to the fifth variation ( an obvious indication that he is playing with Viennese musicians ), and the gossamer shading throughout.

Every taxpayer is well aware of the vast size of our annual defense budget and most of our readers also realize that a large portion of these expenditures go for military electronics.

Every single problem touched on thus far is related to good marketing planning.

Every few days, in the early morning, as the work progressed, twenty men would appear to push it ahead and to shift the plank foundation that distributed its weight widely on the Rotunda pavement, supported as it is by ancient brick vaulting.

Every dream, and this is true of a mental image of any type even though it may be readily interpreted into its equivalent of wakeful thought, is a psychic phenomenon for which no explanation is available.

Every man in every one of these houses is a Night Rider.

Every library borrower, or at least those whose taste goes beyond the five-cent fiction rentals, knows what it is to hear the librarian say apologetically, `` I'm sorry, but we don't have that book.

Every community, if it is alive has a spirit, and that spirit is the center of its unity and identity.

The restricted principle " Every partially ordered set has a maximal totally ordered subset " is also equivalent to AC over ZF.

** Every infinite game in which is a Borel subset of Baire space is determined.

Every natural-born citizen of a foreign state who is also an American citizen and every natural-born American citizen who is a citizen of a foreign land owes a double allegiance, one to the United States, and one to his homeland ( in the event of an immigrant becoming a citizen of the US ), or to his adopted land ( in the event of an emigrant natural born citizen of the US becoming a citizen of another nation ).

Every line of written text is a mere reflection of references from any of a multitude of traditions, or, as Barthes puts it, " the text is a tissue of quotations drawn from the innumerable centres of culture "; it is never original.

Every root of a polynomial equation whose coefficients are algebraic numbers is again algebraic.

* Every rectangle R is in M. If the rectangle has length h and breadth k then a ( R ) =

Every year, on the last Sunday in April, there is an ice fishing competition in the frozen estuarine waters of the Anadyr River's mouth.

Every lattice element of the structure is in its proper place, whether it is a single atom or a molecular grouping.