## Advances in Mathematics Research, Volume 6Mathematics has been behind many of humanity's most significant advances in fields as varied as genome sequencing, medical science, space exploration, and computer technology. But those breakthroughs were yesterday. Where will mathematicians lead us tomorrow and can we help shape that destiny? This book assembles carefully selected articles highlighting and explaining cutting-edge research and scholarship in mathematics. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

1 | |

13 | |

Algebraic Classification of Nonlinear Steering Problems with Constraints on Control | 37 |

On Asymptotic Behaviour of Solutions to the Nonlinear Difference Equation with Nonmartingale Type Noise | 97 |

On the Multiparameter Fractional Brownian Motion | 121 |

### Other editions - View all

### Common terms and phrases

algebra Algorithm assume averaging basis biorthogonal boundary points canonical form characteristic polynomial coefficients compute connection map consider constraints construct converges Corollary corresponding crossing defined Definition denote equals Equation Example finite formula fractional Brownian motion Gabriel Oyibo Gaussian Hashtable Hence HOMFLY polynomials homogeneous linear recurrence internal components iterative family Jones polynomial Kauffman polynomial Knot Theory Lemma Lie elements lightlike lightlike cone linear combination linear recurrence relation link diagram martingale martingale-difference Math matrix n-parameter nonlinear power moments nonlinear programming notation Nova Science Publishers obtain oriented orthogonal parameters Proof prove pseudo-scaling Q polynomials random variables recurrence relation representation respectively satisfies series of nonlinear shuffle product stable standard left ends stochastic sequence subspace surface x(u,v Theorem transformation unknots unoriented values vanishing moments vector function W. B. R. Lickorish wavelets

### Popular passages

Page 17 - Decomposition 21 22-03 26-03 34-70 38-50 42-50 43-9 46-5 47 49 54-5 95-5 of hydrogen peroxide, but there does not appear to be any reference in the literature to its use in the actual peroxide bleaching plant.

Page 8 - R 4 which takes the surface to itself and takes p to q. In this paper all equicentroaffinely homogeneous surfaces with flat definite metric in R 4 are determined up to centroaffine transformations.

Page 2 - M". n > 3, is conformally flat if and only if it can be realized as a hypersurface of the light cone V"+l of the standard flat Lorentzian space Ln+2, defined by Vn+l = {X € L"+2 (X.