Sentence examples for element of the form from inspiring English sources

Namely the norm of an element of the form ∑i="(i1,…,id)ai⊗λ(gi1⋯gid) is less than 45√e ∥M0∥2+⋯+∥Md∥2)1/2, where M0,…,Md are d+1 different block-matrices naturally constructed from the family (ai i∈Id for each decomposition of Id≃Il×Id−l with l= 0,…,d.

If R denotes L K ( E ), and v, w ∈ E 0, then the ideals R v R and R w R are each nonzero, so that R v R R w R ≠ { 0 }, so that v R w ≠ { 0 }, which yields a nonzero element of the form α β ∗ with s = v, and r = s = w, so that u = r has the desired property.

The identified sequence AGTTCAAGGATCA constitutes a DR1 element of the form with a perfect RG(G/T TCA 5'-motif and an imperfect 3'-motif.

But the elements of the form in "Flamenco Hoy" give us only its lowest common denominators.

Still, common elements of the form have emerged over the last century and this course will study them, including Point of View, Plot, Character, Setting, and Theme.

Eliot mutes the obvious elements of the form in the celebrated opening of The Waste Land (1922): April is the cruellest month, breeding Lilacs out of the dead land, mixing Memory and desire, stirring Dull roots with spring rain.

Particular attention will be placed on the various ways in which artists in Latin America appropriated elements of the form of abstraction known as Concrete art, only to break with them on their way to developing new art movements.

where has elements of the form.

The far left column of Table 2 shows the elements of the form used in observations.

The complex Clifford algebra, denoted by, is generated additively by elements of the form.

The Clifford algebra thus is generated additively by elements of the form, where is such that, while for, one puts, the identity element.