How to use bisections in a sentence? Find typical usage patterns (collocations)/phrases/context for "bisections" and check conjugation/comparative form for "bisections". Mastering all the usages of "bisections" from sentence examples published by news publications.
In general, the bisections of a series are the even and odd parts of the series.
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Trisection can be approximated by repetition of the compass and straightedge method for bisecting an angle. The geometric series or can be used as a basis for the bisections. An approximation to any degree of accuracy can be obtained in a finite number of steps.
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The name is of an uncertain origin but is believed to be derived from Old English. The villages of Yarcombe and Yartyford are both named after the river. The upper area forms one of several bisections of the otherwise hilly area around the Blackdown Hills. As the river is based in a relatively deep valley, it is prone to flooding.
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Various ways for improving Akritas–Collins bisection algorithm have been proposed. They include a method for avoiding storing a long list of polynomials without losing the simplicity of the changes of variables, the use of approximate arithmetic (floating point and interval arithmetic) when it allows getting the right value for the number of sign variations, the use of Newton's method when possible, the use of fast polynomial arithmetic, shortcuts for long chains of bisections in case of clusters of close roots, bisections in unequal parts for limiting instability problems in polynomial evaluation. All these improvement lead to an algorithm for isolating all real roots of a polynomial with integer coefficients, which has the complexity (using soft O notation, , for omitting logarithmic factors) :\tilde O (n^2(k+t)), where is the degree of the polynomial, is the number of nonzero terms, is the maximum of digits of the coefficients. The implementation of this algorithm appears to be more efficient than any other implemented method for computing the real roots of a polynomial, even in the case of polynomials having very close roots (the case which was previously the most difficult for the bisection method).
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He has repeatedly emphasized the need for distinguishing among the numerous facets of this classical problem in aesthetics and art: Objects in nature vs. objects in art and architecture; the known presence vs. absence of artist's intention in utilizing the ratio; the degree of perceivers' awareness of the ratio in an object and the influence of that awareness, if any, on the object's aesthetic appeal. In his work on paintings, Konečni used many different measures, including the dimensions of the rectangle (frame); the vertical and horizontal bisections of a painting; and the dimensions of significant depicted objects within the painting.
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