Pillai and Mijares [7] gave the exact expressions for the first four moments of the sum of s non-zero roots of a matrix occurring in multivariate normal analysis as studied independently by R. A.

Abstract: Rotation symmetric functions are a variant of symmetric functions, such that function values are unchanged by any rotation of digits in input vectors. Since rotation symmetric functions are ...

A cytokinin-mediated, proliferation-based mechanism is involved in the generation and maintenance of cell-type specific tissue boundaries during vascular development in Arabidopsis roots. Specifically ...

This is a preview. Log in through your library . Abstract Some conjectures made by De Waal [Ann. Math. Statist. 43 (1972) 344-347] on the expectation of elementary symmetric functions of the roots of ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

THE contents of this volume fall into three clearly marked sections. Chapters 1–4 (pp. 1–105) lead up to the location and calculation of the real roots of a real algebraic equation ; the cubic and ...

Ikoma, Japan – The generation and maintenance of tissue boundaries are fundamental to the development of functional organs in both plants and animals. In general, tissue boundaries are initially set ...

Abstract: Optimizing the depth and number of ancillary qubits in quantum circuits is crucial in quantum computation, given the limitations imposed by current quantum devices. In this article, we ...