Every time I closed my eyes, I saw Gray Eyes rushing at me with a knife.

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 unital real Banach algebra with no zero divisors, and in which every principal ideal is closed, is isomorphic to the reals, the complexes, or the quaternions.

Every character is automatically continuous from A to C, since the kernel of a character is a maximal ideal, which is closed.

* Every continuous map from a compact space to a Hausdorff space is closed and proper ( i. e., the pre-image of a compact set is compact.

* Every closed subgroup of a profinite group is itself profinite ; the topology arising from the profiniteness agrees with the subspace topology.

Every open subgroup H is also closed, since the complement of H is the open set given by the union of open sets gH for g in G

* Every closed nowhere dense set is the boundary of an open set.

Every map that is injective, continuous and either open or closed is an embedding ; however there are also embeddings which are neither open nor closed.

Every base he closed resulted in a new construction project elsewhere to expand another base, relocation of forces projects and other related spending.

Every year the central business district ( with corners at the Municipal Building, Grand Street Fire House and Croton-Harmon High School ) is closed to automobile traffic for music, American food, local fund raisers, traveling, and local artists.

The generalized Poincaré conjecture states that Every simply connected, closed n-manifold is homeomorphic to the n-sphere.

Every closed subspace of a reflexive space is reflexive.

Every closed 3-manifold has a prime decomposition: this means it is the connected sum of prime three-manifolds ( this decomposition is essentially unique except for a small problem in the case of non-orientable manifolds ).

: Every oriented prime closed 3-manifold can be cut along tori, so that the interior of each of the resulting manifolds has a geometric structure with finite volume.

* Every integrable subbundle of the tangent bundle — that is, one whose sections are closed under the Lie bracket — also defines a Lie algebroid.

* Every irreducible closed subset of P < sup > n </ sup >( k ) of codimension one is a hypersurface ; i. e., the zero set of some homogeneous polynomial.

Every October the high street is closed for the two Saturdays either side of 11 October for the Marlborough Mop Fair.

Every closed point of Hilb ( X ) corresponds to a closed subscheme of a fixed scheme X, and every closed subscheme is represented by such a point.

Every homeomorphism is open, closed, and continuous.

Every closed curve c on X is homologous to for some simple closed curves c < sub > i </ sub >, that is,

Every finite simple group is isomorphic to one of the following groups:

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 group G acts on G, i. e. in two natural but essentially different ways:, or.

Every galaxy of sufficient mass in the Local Group has an associated group of globular clusters, and almost every large galaxy surveyed has been found to possess a system of globular clusters.

* Every Lie group is parallelizable, and hence an orientable manifold ( there is a bundle isomorphism between its tangent bundle and the product of itself with the tangent space at the identity )

Every instrumental group ( or section ) has a principal who is generally responsible for leading the group and playing orchestral solos.

While he admits the existence of caste-based discrimination, he writes that " Every social group cannot be regarded as a race simply because we want to protect it against prejudice and discrimination ".

Every local group is required to have a seneschal who reports to the kingdom's seneschal.

Every local group is required to have one.

* Every topological group is completely regular.

Every summer the group gathers in Newport, RI for week long dance training, seaside teas, and evenings enjoying the splendors of the Gilded Age.

* Every finitely generated group with a recursively enumerable presentation and insoluble word problem is a subgroup of a finitely presented group with insoluble word problem

Every synset contains a group of synonymous words or collocations ( a collocation is a sequence of words that go together to form a specific meaning, such as " car pool "); different senses of a word are in different synsets.

Every group can be trivially made into a topological group by considering it with the discrete topology ; such groups are called discrete groups.

Every topological group can be viewed as a uniform space in two ways ; the left uniformity turns all left multiplications into uniformly continuous maps while the right uniformity turns all right multiplications into uniformly continuous maps.

Every subgroup of a topological group is itself a topological group when given the subspace topology.

:" Every group is naturally isomorphic to its opposite group "

Every ten years, when the general census of population takes place, each citizen has to declare which linguistic group they belong or want to be aggregated to.

In cybernetics, the Good Regulator or Conant-Ashby theorem is stated " Every Good Regulator of a system must be a model of that system ".

Every law, every letter, every syllable of inflection in the different languages was illustrated by an almost exhaustive mass of material, and it has served as a model for all succeeding investigators.

Every five years since the Walkman personal stereo was born in 1979 until 1999, Sony would celebrate by coming out with an anniversary cassette model on July 1.

# Every satisfiable set of formulas is consistent, where a set of formulas is satisfiable if and only if there exists a model such that.

Every Le Sage-type model assumes the existence of a space-filling isotropic flux or radiation of enormous intensity and penetrating capability.

: Every countable theory which is satisfiable in a model M, is satisfiable in a countable substructure of M.

: Every countable theory which is satisfiable in a model is also satisfiable in a countable model.

" I can now state the physical version of the Church-Turing principle: ' Every finitely realizable physical system can be perfectly simulated by a universal model computing machine operating by finite means.

Every Skolem theory is model complete, i. e. every substructure of a model is an elementary substructure.

Every model of this includes the tool magazine which holds tools and other parts for maintaining your marker.

Every molecule of RNA polymerase holoenzyme contains exactly one sigma factor subunit, which in the model bacterium Escherichia coli is one of those listed below.

Every other Sunday, the Ottawa Valley Live Steamers and Model Engineers are on site to give rides on their model trains.

Every model made since the M100 Elan, such as the Lotus Elise, has been rear-wheel drive.

* Rule 2 Each column has a simple generic model: Every column can have its own meta-model

He may have been the subject of a number of Elizabethan satires such as Thomas Nashe's Lenten Stuffe, Ben Jonson's Every Man in his Humour, and may have been the model of Shakespeare's Falstaff, who was originally given the name ' Oldcastle '.

Every Volkswagen model is available giving the opportunity for the public to choose what they want.

In 1973, following the model of Every Building on the Sunset Strip, he photographed the entire length of Hollywood Boulevard with a motorized camera.

Every model, therefore, requires some sort of a battery or generator system that could provide electricity to the lights during a blackout.

Knopfler performed " Money for Nothing " using his Pensa-Suhr signature MK-1 model guitar with a pair of Soldano SLO-100 tube / valve amplifier heads and Marshall speaker cabinets during the Nelson Mandela 70th Birthday Tribute and Prince's Trust concerts in 1988, as well as the Nordoff-Robbins charity show at Knebworth in 1990 and the On Every Street world tours in 1991 / 1992.

# Every elementary substructure of a model of a theory T also satisfies T ; hence it is a submodel.

Every theory with quantifier elimination is model complete.

The abstract Zome system defined above is significant because of the following fact: Every connected Zome model