In this first paper, we consider how to putt a golf ball on an uneven green so that it arrives at the cup with minimal speed.

In previous studies, a variable-sweep-wing morphing waverider was proposed and its aerodynamic performance dynamic model were provided. This can change sweep angle according to different flight scenario in order achieve an optimal performance. For the traditional fixed-geometry waverider, main objective of trajectory planning problem is find consisting time-dependent variables including attack,...

background:  the  current study examined race and ethnic differences in the separate and combined (additive) effects of anxiety, depression and problem drinking on the baseline and trajectory of subjective health among adult men in the united states. methods:  this longitudinal study used data from the fragile families and child well-being study. we included 4655 men, composed of 2407 blacks, 1...

‎This paper obtains the exact solutions of the wave equation as a second-order partial differential equation (PDE)‎. ‎We are going to calculate polynomial and non-polynomial exact solutions by using Lie point symmetry‎. ‎We demonstrate the generation of such polynomial through the medium of the group theoretical properties of the equation‎. ‎A generalized procedure for polynomial solution is pr...

BACKGROUND Dynamic population models, or models with changing vital rates, are only beginning to receive serious attention from mathematical demographers. Despite considerable progress, there is still no general analytical solution for the size or composition of a population generated by an arbitrary sequence of vital rates. OBJECTIVE The paper introduces a new approach, Intrinsic Linkage, that...

abstract. suppose g is an nvertex and medge simple graph with edge set e(g). an integervalued function f: e(g) → z is called a flow. tutte was introduced the flow polynomial f(g, λ) as a polynomial in an indeterminate λ with integer coefficients by f(g,λ) in this paper the flow polynomial of some dendrimers are computed.

How to model Chinese tones and integrate them into an HMM-based recognizer for Chinese recognition has been an area of interest to researchers. In this paper, we propose the use of a polynomial trajectory model to represent pitch shape. We further propose an efficient one-pass search approach that integrates the tone likelihood into the Viterbi search procedure. We report a number of experiment...

We consider scalar field theories in dimensions lower than four in the context of the Wegner-Houghton renormalization group equations (WHRG). The renormalized trajectory makes a non-perturbative interpolation between the ultraviolet and the infrared scaling regimes. Strong indication is found that in two dimensions and below the models with polynomial interaction are always non-perturbative in ...

This paper explores numerical solutions of optimal control problems using B–Spline curves. It is aimed to give a general framework on how to use B–Splines to formulate optimal control problems and to solve them numerically using Nonlinear Trajectory Generation software package. Effects of the selection of the B–Spline parameters, such as, number of intervals, smoothness, piecewise polynomial or...

We consider the segmentation of a trajectory into piecewise polynomial parts, or possibly other forms. Segmentation is typically formulated as an optimization problem which trades off model fitting error versus the cost of introducing new segments. Heuristics such as split-and-merge are used to find the best segmentation. We show that for ordered data (eg., single curves or trajectories) the gl...