* Every pair of congruence relations for an unknown integer x, of the form x ≡ k ( mod a ) and x ≡ l ( mod b ), has a solution, as stated by the Chinese remainder theorem ; in fact the solutions are described by a single congruence relation modulo ab.

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 >.

Every congruence relation has a corresponding quotient structure, whose elements are the equivalence classes ( or congruence classes ) for the relation.

Every computable relation is defined to be and.

Every peculiarity of diction, every particle, every sign, is to be considered as of higher importance, as having a wider relation and as being of deeper meaning than it seems to have.

Every constraint is in turn a pair ( usually represented as a matrix ), where is an-tuple of variables and is an-ary relation on.

Every relation can be extended in a similar way to a transitive relation.

Every day, having hardly finished working in the surgery room, Favaloro would spend hours and hours reviewing coronary angiograms and studying coronary arteries and their relation with the cardiac muscle.

Every employment relation leaves the employer with a residue of discretion, historically expressed as the ‘ master-servant ’ relationship.

Every student is continuously evaluated, corrected, and mentored, with special attention paid to the smallest of details, such as the placement of a finger within 1 / 4 inch of its required location along a trouser seam, angle of the weapon, and positioning of the student in relation to the unit.

We express this relation by means of the notation ∠( h, k ) ≅ ( h ′, k ′) Every angle is congruent to itself ; that is, ∠( h, k ) ≅ ( h, k ) or ∠( h, k ) ≅ ( k, h )

Every map consists of numerous textured polygons carefully positioned in relation to one another.

Every relation in the query can be accessed via a sequential scan.

" Every legal relation " proclaims Pashukanis, " is a relation between subjects ".

" He continues: " Every category ... every description of existence or relation, is necessarily a transcript from our own nature and our own experience.

Every car uses either a 5. 0 L Ford " Boss 302 " SVO or a 5. 0 L Chevrolet small block race-engine ( depending on the make )-capable of producing between 460 and 485 kW ( 620 — 650 bhp ) of power, but generally quoted as a little over 450 kW ( 600 bhp ) in race trim.

# " Every Little Bit o ' You " ( Irwin Levine, L. Russell Brown )

** L. A. Reid and Babyface for " Every Little Step " performed by Bobby Brown

Every year, usually around August, this marina hosts the R. N. L. I.

Every square-integrable vector field u ∈ ( L < sup > 2 </ sup >( Ω ))< sup > 3 </ sup > has an orthogonal decomposition:

Every musician in L. A. wanted to participate, but soon Lennon's drinking and Spector's erratic behavior ( which included his firing a gun in the studio control room ) caused the sessions to break down.

* Let K < sup > a </ sup > be an algebraic closure of K containing L. Every embedding σ of L in K < sup > a </ sup > which restricts to the identity on K, satisfies σ ( L ) = L. In other words, σ is an automorphism of L over K.

* Every irreducible polynomial in K which has a root in L factors into linear factors in L.

Every year CEI hosts an annual dinner gala and presents the Julian L. Simon Memorial Award.

** Every single member of the New Covenant " knows the L " in an intimate way.

Every non-trivial problem in L is complete under log-space reductions so weaker reductions are required to identify meaningful notions of L-completeness, the most common being first-order reductions.

Russell L. Ackoff wrote about complex problems as messes: " Every problem interacts with other problems and is therefore part of a set of interrelated problems, a system of problems ….

Professor Herman Bondi, who gave the first J. L. Synge Public Lecture in 1992, had this to say: " Every one of the other 88 % has been deeply influenced by his geometric vision and the clarity of his expression ".

Every L. A. # 1 song would be played in chronological order ( utilizing the older KHJ radio charts and other local charts ) from 1955 through 1985.

Every commutative von Neumann algebra on a separable Hilbert space is isomorphic to L < sup >∞</ sup >( X ) for some standard measure space ( X, μ ) and conversely, for every standard measure space X, L < sup >∞</ sup >( X ) is a von Neumann algebra.

Every Data Matrix is composed of two solid adjacent borders in an " L " shape ( called the " finder pattern ") and two other borders consisting of alternating dark and light " cells " or modules ( called the " timing pattern ").

Every year since 1994, Lloydies have climbed onto the top of Millikan Library to construct the Lloyd Christmas Tree, a monumental structure of numerous Christmas lights strung together to resemble a 10-story Christmas tree topped with a 12-feet-tall " L ." The latest off-campus pranks have been the pranking of MIT's Campus Preview Weekend, which included many Lloydies.

* James Allen ’ s Book of Meditations for Every Day in the Year ( 1913 ) of earlier texts, compiled by his wife Lily L. Allen

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

* Every polynomial ring R ..., x < sub > n </ sub > is a commutative R-algebra.

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.

* In any ring R, a maximal ideal is an ideal M that is maximal in the set of all proper ideals of R, i. e. M is contained in exactly 2 ideals of R, namely M itself and the entire ring R. Every maximal ideal is in fact prime.

* Every separable metric space is isometric to a subset of C (), the separable Banach space of continuous functions → R, with the supremum norm.

Every simple R-module is isomorphic to a quotient R / m where m is a maximal right ideal of R. By the above paragraph, any quotient R / m is a simple module.

Every random vector gives rise to a probability measure on R < sup > n </ sup > with the Borel algebra as the underlying sigma-algebra.

Every Boolean ring R satisfies x ⊕ x

Every prime ideal P in a Boolean ring R is maximal: the quotient ring R / P is an integral domain and also a Boolean ring, so it is isomorphic to the field F < sub > 2 </ sub >, which shows the maximality of P. Since maximal ideals are always prime, prime ideals and maximal ideals coincide in Boolean rings.

* Every left ideal I in R is finitely generated, i. e. there exist elements a < sub > 1 </ sub >, ..., a < sub > n </ sub > in I such that I = Ra < sub > 1 </ sub > + ... + Ra < sub > n </ sub >.

* Every non-empty set of left ideals of R, partially ordered by inclusion, has a maximal element with respect to set inclusion.

Every year since 1982, the W. C. Handy Music Festival is held in the Florence / Sheffield / Muscle Shoals area, featuring blues, jazz, country, gospel, rock music and R & B.

Every adult citizen of this small settlement signed the small petition ; E. K Dyer and his wife, William Johnson, Joseph Otis and his wife, Hiram Walker and his wife, Joseph Pease and R. H. Valentine.

Every smooth submanifold of R < sup > n </ sup > has an induced Riemannian metric g: the inner product on each tangent space is the restriction of the inner product on R < sup > n </ sup >.