irreducible element वाक्य
उदाहरण वाक्य
मोबाइल
- Such an editor has no access to the more obvious interpretants of " feeling ", and may thus help salvage even for the native reader the irreducible element of " knowledge " in his culture's songs.
- Another equivalent characterization of finite join-distributive lattices is that they are graded ( any two maximal chains have the same length ), and the length of a maximal chain equals the number of meet-irreducible elements of the lattice.
- The elementary divisors can be obtained from the list of invariant factors of the module by decomposing each of them as far as possible into pairwise relatively prime ( non-unit ) factors, which will be powers of irreducible elements.
- Note that in a PID, the nonzero primary ideals are powers of prime ideals, so the elementary divisors can be written as powers q _ i = p _ i ^ { r _ i } of irreducible elements.
- For non-atoroidal automorphisms, Bestvina and Handel produce an example of an irreducible but not fully irreducible element of Out ( F _ n ), induced by a suitably chosen pseudo-Anosov homeomorphism of a surface with more than one boundary component.
- It is a discrete valuation ring; the " unique " irreducible element is " X " and the valuation assigns to each function " f " the order ( possibly 0 ) of the zero of " f " at 0.
- Note that an irreducible element of " R " is still irreducible when viewed as constant polynomial in " R " [ " X " ]; this explains the need for " non-constant " above, and in the irreducibility statements below.
- If in addition is Gauss's lemma is irreducible in, whether or not it is primitive ( since constant factors are invertible in ); in this case a possible choice of prime ideal is the principal ideal generated by any irreducible element of.
- Since the square root of an algebraic integer is again an algebraic integer, it is not possible to factor any nonzero nonunit algebraic integer into a finite product of irreducible elements, which implies that \ overline { \ textbf { Z } } is not Noetherian!
- For each irreducible element such that some power occurs in, take the highest such power, removing it from, and multiply these powers together for all ( classes of associated ) to give the final invariant factor; as long as is non-empty, repeat to find the invariant factors before it.
- This is not true for irreducible ideals : an irreducible ideal may be generated by an element that is not an irreducible element, as is the case in \ mathbb Z for the ideal 4 \ mathbb Z : It is not the intersection of two strictly greater ideals.
- The " unique " irreducible element is " T ", the maximal ideal of " R " is the principal ideal generated by " T ", and the valuation ? assigns to each power series the index ( i . e . degree ) of the first non-zero coefficient.
- At a fund-raiser for moderate Republican candidates held in New York City last spring, several leading Republicans pleaded for tolerance within the party for differing views on abortion rights, but Mrs . Whitman rejected a soothing compromise on the issue, insisting in her speech that respect for abortion rights should be an irreducible element of Republican Party philosophy.
- The condition that " R " is a GCD domain is not superfluous because it implies that every irreducible element of this ring is also a prime element, which in turn implies that every nonzero element of " R " has at most one factorization into a product of irreducible elements and a unit up to order and associate relationship.
- The condition that " R " is a GCD domain is not superfluous because it implies that every irreducible element of this ring is also a prime element, which in turn implies that every nonzero element of " R " has at most one factorization into a product of irreducible elements and a unit up to order and associate relationship.
- In this way the concept'empty space'loses its meaning . . . . The field thus becomes an irreducible element of physical description, irreducible in the same sense as the concept of matter ( particles ) in the theory of Newton . . . . The physical reality of space is represented by a field whose components are continuous functions of four independent variables-the co-ordinates of space and time.
- अधिक वाक्य: 1 2
irreducible element sentences in Hindi. What are the example sentences for irreducible element? irreducible element English meaning, translation, pronunciation, synonyms and example sentences are provided by Hindlish.com.