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

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

Every time the Flaminica saw a lightning bolt ( Jupiter's distinctive instrument ), she was prohibited from carrying on with her normal routine until she placated the gods.

* Every connected graph with only countably many vertices admits a normal spanning tree.

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

Every Hermitian matrix is a normal matrix, and the finite-dimensional spectral theorem applies.

Every generalized eigenvalue of a normal operator is thus genuine.

Every formula in classical logic is equivalent to a formula in prenex normal form.

Every first-order formula is logically equivalent ( in classical logic ) to some formula in prenex normal form.

Every first-order formula can be converted into Skolem normal form while not changing its satisfiability via a process called Skolemization ( sometimes spelled " Skolemnization ").

:* Every generalized eigenvector of a normal matrix is an ordinary eigenvector.

Every zombie is restored to normal when Hal Jordan defeats Nekron.

Every year the club hosts a two week long ( three weekends ) camp at Bohemian Grove, which is notable for its illustrious guest list and its eclectic Cremation of Care ceremony which mockingly burns " Care " ( the normal woes of life ) with grand pageantry, pyrotechnics and brilliant costumes, all done at the edge of a lake and at the base of a forty-foot ' stone ' owl statue.

One particular ad line read " Every normal skin needs these two creams ".

Every ( normal ) Boolean algebra with operators can be represented as a field of sets on a relational structure in the sense that it is isomorphic to the complex algebra corresponding to the field.

Every grammar in Kuroda normal form is monotonic, and therefore, generates a context-sensitive language.

Every year thereafter Battle Bowl took place with only one ring and a normal battle royal.

Every homeworld ( except Gnasty's World ) contains a flying challenge level where Spyro's normal gliding ability is replaced with the ability to fly freely.

Every self-adjoint operator is normal.

Every ( nontrivial ) group has a normal series of length 1, namely

Every beach soccer match is won by one team, with the game going into three minutes of extra time, followed by a penalty shootout if the score is still on level terms after normal time.

Every eye was on him as he began to speak.

Every song they wrote was written with an eye toward giving it " deep hidden meaning " or D. H. M.

* ( In a motor race at Indianapolis ): " Every eye is glued onto that car.

Every scene, every shot is the product of a keen and sensitive eye — an eye which has deep comprehension of the beauty of rugged people and a rugged world ".

Every lobsterman is required to use a lobster gauge to measure the distance from the lobster's eye socket to the end of its carapace: if the lobster is less than long, it is too young to be sold and must be released back to the sea.

Every move he makes is always under the watchful eye of at least five guards.

Every time anyone talks to the curator, he lights a match, and sets off into a surreal anecdote about some-one he once met, such as one young woman he met who was, " blind in one eye, and couldn't see out the other.

They state: " Every person who strikes a seal with a club or hakapik shall strike the seal on the forehead until its skull has been crushed ," and that " No person shall commence to skin or bleed a seal until the seal is dead ," which occurs when it " has a glassy-eyed, staring appearance and exhibits no blinking reflex when its eye is touched while it is in a relaxed condition.

Every time he closes his eyes and goes into an active rapid eye movement state, he experiences another first-hand death from that terrible day.

Every facet of Cartoon Action Hour was created with an eye toward faithfully depicting the subject matter, using what the authors refer to as " cartoon logic ".

Every year they would invite Dr. Holland, an eye specialist to Sindh for free treatment of eye patients.

Every soldier in the army has, somewhere, relatives who are close to starvation.

Every woman has had the experience of saying no when she meant yes, and saying yes when she meant no.

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 calculation has been made independently by two workers and checked by one of the editors.

Every retiring person has a different situation facing him.

Every family of Riviera Presbyterian Church has been asked to read the Bible and pray together daily during National Christian Family Week and to undertake one project in which all members of the family participate.

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

`` Every woman in the block has tried that ''.

: Every set has a choice function.

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.

** Every surjective function has a right inverse.

** Zorn's lemma: Every non-empty partially ordered set in which every chain ( i. e. totally ordered subset ) has an upper bound contains at least one maximal element.

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

** Tukey's lemma: Every non-empty collection of finite character has a maximal element with respect to inclusion.

** Antichain principle: Every partially ordered set has a maximal antichain.

** Every vector space has a basis.

* Every small category has a skeleton.

* Every continuous functor on a small-complete category which satisfies the appropriate solution set condition has a left-adjoint ( the Freyd adjoint functor theorem ).

** Every field has an algebraic closure.

** Every field extension has a transcendence basis.

** Every Tychonoff space has a Stone – Čech compactification.

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

Every unit of length has a corresponding unit of area, namely the area of a square with the given side length.

Every field has an algebraic extension which is algebraically closed ( called its algebraic closure ), but proving this in general requires some form of the axiom of choice.

Every ATM cell has an 8-or 12-bit Virtual Path Identifier ( VPI ) and 16-bit Virtual Channel Identifier ( VCI ) pair defined in its header.