Roots in Bennettites

Application of Collocation Method in Finding Roots

In this paper we present a new method to find simple or multiple roots of functions in a finite interval. In this method using bisection method we can find an interval such that this function is one to one on it, thus we can transform problem of finding roots in this interval into an ordinary differential equation with boundary conditions. By solving this equation using collocation method we ca...

Algorithms for implementing roots, inverse and inverse roots in hardware

In applications as in future MIMO communication systems a massive computation of complex matrix operations, such as QR decomposition, is performed. In these matrix operations, the functions roots, inverse and inverse roots are computed in large quantities. Therefore, to obtain high enough performance in such applications, efficient algorithms are highly important. Since these algorithms need to...

Roots Appear in Quanta

We start with a special case. Consider an irreducible quintic polynomial f(X) = X + a1X + a2X + a3X + a4X + a5 with rational coefficients and with three real roots and one pair of complex conjugate roots. For example, f(X) could be X − 10X + 5. Question. If α is a root of f , then how many roots of f lie in the field Q(α)? The field Q(α) is obtained by adjoining the root α to Q. Thus Q(α) conta...

Queer Roots in Africa

Diagravitropism in corn roots.

The diagravitropic behavior of Merit corn (Zea mays L.) roots grown in darkness provides an opportunity for comparison of two qualitatively different gravitropic systems. As with positive gravitropism, diagravitropism is shown to require the presence of the root cap, have a similar time course for the onset of curvature, and a similar presentation time. In contrast with positive gravitropism,...