Sentence examples for reduced to one element from inspiring English sources

Finally, in the case where this sum is reduced to one element, which is the case for non-characteristic points, we use modulation theory coupled with a nonlinear argument to show the exponential convergence (in the self-similar time variable) of the various parameters and conclude the proof.

Applying Theorem 2.2, we obtain that (mathbf{gen}(D)) is finite for any central division (k -algebra (D) and reduces to one element if (D) is of exponent two1 (at least if (mathrm{char} k -algebralthough the result remains true in characteristic two as well in view of Remark 2.6(2)—we give a Direct andument below).

Also, when the number of elements was reduced to one, the results obtained were poorer than when the elements were two.

Road reduced to one lane.

By making "Where are you from?" one of the first things you ask and then pressing the issue beyond what they answer, reduces them to a thought, to one element of their being.

In the contexts of these arguments, hijab has been reduced to only one of its visual elements, which is commonly understood as a scarf upon a woman's head.

In De Magistro, for example, Augustine argues that the efficacy of language is ultimately dependent upon direct acquaintance with the external world, and even our ability to learn from others presupposes that what they tell us can be reduced to elements with which one has had some prior acquaintance [De Magistro 11.37].

Take it away and they are reduced to their elements - sex and football on telly.

However, on curved elements, not all schemes can be reduced to a one-dimensional form, although the SD and CPR formulations remain one-dimensional by design.

Now those floors have been reduced to their structural elements: naked columns and beams.

The number of input variables of these characteristics is reduced by one in each step, since κis reduced by one element in each step.