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* Every module can focus on what it is designed for.

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## Some Related Sentences

Every and module

__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__library

__module__has at least two source files: a definitions file specifying the library's interface plus one or more program files specifying the implementation of the procedures in the interface

**.**

__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__vector space

**is**free, and the free vector space

**on**a set

**is**a special case of a free

__module__

**on**a set

**.**

This

**is**up to isomorphism the only indecomposable__module__over R**.**__Every__left R-module**is**a direct sum of ( finitely or infinitely many ) copies of this__module__K < sup > n </ sup >.__Every__finite-length

__module__M has a composition series, and the length of every such composition series

**is**equal to the length of M

**.**

__Every__ring which

**is**semisimple as a

__module__over itself has zero Jacobson radical, but not every ring with zero Jacobson radical

**is**semisimple as a

__module__over itself

**.**

__Every__superfield, i

**.**e

**.**a field that depends

**on**all coordinates of the superspace ( or in other words, an element of a

__module__of the algebra of functions over superspace ), may be expanded with respect to the new fermionic coordinates

**.**

Every and can

__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__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__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__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__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__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

**.**

__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__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__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__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 >.

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