一元的

The research fields are calculus of single variables functions and several variables functions, space analytic geometry, series, differential equation.

通过本课程的学习，使学生掌握一元函数微积分、向量代数和空间解析几何、多元函数微积分、无究级数、常微分方程等方面的基本概念、基本理论和基本运算技能，为学习后继课程和进一步获得数学知识奠定必要的数学基础。

Taylor theorem use polynomial approximation function to link the known function with its derivative in different orders.

作为一元函数微分学的顶峰，Taylor定理重要的作用之一是在一个给定点的附近，将函数近似地用多项式来代替。

Function and limit, one-variable calculus and its application, ABC of progression and multiple-variable calculus, determinant, matrix and its calculation, system of linear equations and quadratic form, probability of occurrence, chance variable, law of large numbers and central limit theorem, sample and

本课程主要介绍函数和极限，一元微积分和它的应用，ABC级数和多元微积分，行列式和矩阵的应用，线性方程和二次方程式，事件的概率，偶然性变量，大数定律和中心极限定理，样本和参数估计，方差分析，回归分析。

Function and limit, one-variable calculus and its application, ABC of progression and multiple-variable calculus, determinant, matrix and its calculation, system of linear equations and quadratic form, probability of occurrence, chance variable, law of large numbers and central limit theorem, sample and parametric estimation, variance analysis, regression analysis.

Advanced Mathematics 1 [Course Code 1040008 MAT114] 本课程主要介绍函数和极限，一元微积分和它的应用，ABC 级数和多元微积分，行列式和矩阵的应用，线性方程和二次方程式，事件的概率，偶然性变量，大数定律和中心极限定理，样本和参数估计，方差分析，回归分析。

Since any n x n doubly stochastic circulant matrix has a unique representation as a polynomial of degree n - 1 in the shift operator wn, the classification problem of primes in the doubly stochastic circulant matrices can be reduced to the solution of an equation over a doubly stochastic circulant matrix.

由于任一n阶双随机循环矩阵都可以唯一地表示为移位的n-1次一元多项式，从而可把双随机循环矩阵中素元的分类问题简化为解双随机循环矩阵上的一个方程。

Since any n×n doubly stochastic circulant matrix has a unique representation as a polynomial of degree n-1 in the shift operatorω_n,the classification problem of primes in the doubly stochastic circulant matrices can be reduced to the solution of an equation over a doubly stochastic circulant matrix.

由于任一n阶双随机循环矩阵都可以唯一地表示为移位的n-1次一元多项式，从而可把双随机循环矩阵中素元的分类问题简化为解双随机循环矩阵上的一个方程。

The correlation of the stem area of cactus and the quantity of the cochineal was simulated by the curve equation.

对仙人掌茎片面积与胭脂虫寄生数量关系进行曲线方程的模拟，相关系数最高的为一元线性方程，方程为Y=728.515+0.347X，但相关系数仅为0.211，说明胭脂虫寄生与仙人掌面积并无明显的相关关系。

If so, these concepts have different primary and secondary intensions, and a type-F monist could correspondingly accept conceivability but deny possibility: we misdescribe the conceived world as physically identical to ours, when in fact it is just structurally identical.32 Finally, a type-F monist might hold that physical concepts refer to dispositional properties, so that zombies are both conceivable and possible, and the intrinsic properties are not physical properties.

如果这样的话，这些概念有不同的第一和第二内涵，F一元论会相应地接受可设想而拒绝可能性：我们错误描述了被设想为和我们物理同一的世界，当事实上它只是结构上同一。[32]最后，一个F类一元论者可以认为物理概念指向趋势属性，所以人偶是同时可设想和可能的，固有属性不是物理属性。

Lastly,we present an algorithm to isolate real roots of a univariate spline, i.e., computing asequence of disjoint intervals such that each of them contains exactly one real root of agiven spline function, which is primarily based on the use of Descartes\' rule of signs withits B-spline coefficients and de Casteljau algorithm of B?

最后，基于B-样条系数的Descartes符号准则和Bézier曲线的de Casteljau算法，我们给出了一元样条实根分离算法，也就是计算出一列不相交区间，使得每个区间恰好只包含此样条函数的一个实根。

Lastly,we present an algorithm to isolate real roots of a univariate spline, i.e., computing asequence of disjoint intervals such that each of them contains exactly one real root of agiven spline function, which is primarily based on the use of Descartes rule of signs withits B-spline coefficients and de Casteljau algorithm of Bzier curve.

最后，基于B-样条系数的Descartes符号准则和Bézier曲线的de Casteljau算法，我们给出了一元样条实根分离算法，也就是计算出一列不相交区间，使得每个区间恰好只包含此样条函数的一个实根。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。