分数函数

The model is established based on the concepts of mixture fraction, mix-is-burnt, and probability density function.

模型建立根据混合物分数，混合是被烧和可能性密度函数的概念。

Correlation dimension is the concept corresponding to correlation function in random process.

关联维数是与随机过程中相关函数相对应的概念，对于混沌过程的奇异吸引子，其关联维D2一般为分数。

According to two hypotheses: one for the relation between the dynamic complex stiffness and the material dynamic characteristics, another for the relation between the static displacement and the force acting on the element, the predicting formula for rectangular cross section are obtained respectively using the static stiffness formulation from the beam——column theory and the G〓bel method.

利用粘弹性材料的标准导数和分数导数模型的本构关系，建立了动态储能和损耗模量函数的关系式，由材料特性实验确定其中的参数，按元件的动态复刚度和材料动态特性之间与元件静态位移与作用力之间的关系假定，依柱梁理论或G〓bel的方法建立的静刚度表达式，建立了矩形截面环元件的刚度和阻尼的预测公式。

This article investigates the two-point boundary value problem to a coupled system of nonlinear fractional differential equations. By applying growth conditions on the nonlinear terms, we obtain an existence result of solutions. Our analysis relies on the Schauder fixed-point theorem and the reduction of the considered problem to the equivalent coupled system of integral equations.

本文讨论非线性分数阶微分方程耦合系统的两点边值问题，应用Green函数，将其转化为等价的积分方程耦合系统，并设非线性项在无穷远处有增长条件，应用Schauder不动点定理证明解而非限于正解的存在性。

The characteristic expression of multi-value function by using Riemann surfaces is discussed, and the mapping from s-plane into w-plane is also analyzed. Then the relations between pole distribution of fractional-order systems and time-domain response are provided.

本文通过分析多值函数特性在黎曼平面中的表达以及，s-平面与w-平面的映射关系，给出了分数阶线性定常系统极点分布与时域响应的定性关系。

Several have integral, mark and 0; have; of sheer number, relative number, average to plus, negative, reciprocal,; also includes rational number, surd; median of even number, odd, decimal;, mode, logarithm,, these are maths the basiccest in kingdom indispensable, it is scientific domain enumerated foundation.

数有整数、分数和零；有绝对数、相对数、平均数；有正数、负数、倒数、；也包含有理数、无理数；偶数、奇数、小数；中位数、众数、对数、指数、函数等等，这些都是数学王国里最基本的不可缺少的，是科学领域计数的基础。

Applying the thermodynamic model, the temperature and the critical grain size of phase transformation can be predicted precisely for the nanocrystalline materials.

在应用界面膨胀模型和普适状态研究纳米晶界面热力学特性的基础上，发展了纳米晶整体材料热力学函数的计算模型，给出了以纳米晶界面上的原子分数作为权重的纳米晶体单相材料的焓、熵、自由能随界面过剩体积、温度以及晶粒尺寸发生变化的明确表达式。

Starting with the fractional viscoelastic theory, a binary mathematical model is put forward to describe the degradation rule of properties of stress relaxation and compression set of vulcanite during the thermo-oxidative aging by means of Fox-H function.

从分数阶粘弹理论出发，利用Fox-H函数提出了描述硫化胶在热氧老化时应力松弛和压缩永久变形性能变化规律的一个二元数学模型。

According to the monotonically increasing match criteria around the location of the optimal motion vector a fast fractional motion estimation algorithm based on the group error is presented.

根据匹配准则的目标函数在最优运动矢量的附近都是单调递增这一假设，提出一种基于分组误差的快速分数像素运动估计算法。

The changes include a volume-fraction correction to account for unmixable atom types in proteins and DNA in addition to the usage of a low-count correction based on bayesian statistics, residue/base-specific atom types,and a shorter cutoff distance for protein-DNA interactions.

我们在DFIRE的基础上减短了统计距离，使用了更全面的原子类型，并使用了以贝叶斯统计原理为基础的背景统计小数修正和为了区分蛋白质核酸原子类型的体积分数修正，从而得到了一种更先进的蛋白质核酸作用的基于知识的统计势函数。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了