Sentence examples for for any module from inspiring English sources

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Thus, for any module C, all the modules present in C [ → Y 〉 are preprojective.

For any module M, we denote by S M the set of all submodules (it is a lattice with respect to intersection and sum of submodules).

For any module (M), we define Z((M) = lbrace x in M : ) ann((x)) is an essential right ideal of (R rbrace ).

For any module (M_cdot ) over (A_cdot ) and any complex (P_cdot in C_cdot (k)), we have a natural module (P_cdot otimes M_cdot ) given by begin{aligned} (P_cdot otimes M_cdot )(a) = P_cdot (a) otimes _k M_cdot (a), qquad a in A_cdot.

Also, for any module C, the subset C [ → Y 〉 epi of C [ → Y 〉 consisting of the right equivalence classes of all right C -determined epimorphisms ending in Y is a coideal which is closed under meets. Since C [ → Y 〉 is a lattice of finite height, we see that C [ → Y 〉 epi has a unique minimal element, say [ f 0 〉 and our first aim will be to describe η C Y ( f 0 ).

Given the list-specific co-occurrence probabilities, bi-binomial P-values are then calculated in exactly the same way for any module size.

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Another contribution is to determine the experimental conditions under which sufficiently informative data (i.e. data leading to a consistent estimate) can be collected for the identification of any module in such a network.

Look for any modules that conflict with Chrome.

We say that M is a strong module if for any other module A the intersection M∩A is empty or equals either M or A. For a non-trivial graph G, the family {M1,M2,…,M p } of all maximal (proper) strong modules is a partition of V(G).

The model can also be used for any PV module by modifying the module parameters and is an excellent reference for PV engineers and researchers.

An element x∈M is uniform, if xR is a non-zero uniform (hence uniserial) module and for any R-module M with a unique composition series, d(M) denotes its composition length.

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