查询词典 trigonometric

For some special cases, the paper gives some important identical theorems, and then establishes a valuable relation between the uniformly almost periodic functions and the trigonometric polynomials.Secondly, on the basis of the identical theorem, the paper investigates the Fourier series of the uniformly B2 almost periodic functions, and further proves that the series is unique.Thirdly, the paper discusses the Parseval equation of the uniformly B2 almost periodic functions, which establishes the relation between these functions and the coefficients of their Fourier series; and next investigates an important approximation theorem-Riesc-Fischer theorem, about the uniformly B2 almost periodic functions and the trigonometric polynomials.

并给出了特殊情况下的几个重要的恒同定理，将一致概周期函数与有限三角多项式联系起来；第二，在恒同定理的基础上，给出了一致B~2概周期函数的Fourier级数，并且级数是唯一的；第三，讨论了一致B~2概周期函数的Parseval方程，建立了函数与其Fourier级数的系数之间的联系；接着给出了关于一致B~2概周期函数和三角多项式之间的一个重要近似定理—Riesc-Fischer定理。

For a long time, it is a main factor to hamper the real-time application of SHET. The research is carried on aiming to quickening convergence speed. The automatic-changing Homotopy algorithm is proposed in the dissertation. The algorithm, which can change the solving method based on fundamental component, has the advantages of large convergence domain, high convergence rate and high precision. Many trigonometric functions are contained in the mathematical model, during solving equation, the calculated speed and the precision are affected by the calculations of trigonometric functions.

特定谐波消除技术的数学模型是一组非线性方程组，长期以来，方程的求解一直是限制该技术实时应用的关键因素，本文针对特定消谐方程组的快速求解进行细致的研究，提出自动变同伦算法，该算法可根据基波幅值的取值范围来决定采用的求解方法，其对求解方法的可选择性使该算法与其它算法相比具有计算速度快、收敛域宽、计算精度高等优点。

Mathematics: Understands and applies basic and advanced properties of the concepts of geometry; Use the Pythagorean theorem and its converse and properties of special right triangles to solve mathematical and real-world problems; Understands the basic concepts of right triangle trigonometry (e.g., basic trigonometric ratios such as sine, cosine, and tangent); Uses trigonometric ratio methods to solve mathematical and real-world problems (e.g., determination of the angle of depression between two markers on a contour map with different elevations); Uses properties of and relationships among figures to solve mathematical and real-world problems e.g., uses the property that the sum of the angles in a quadrilateral is equal to 360 degrees to square up the frame for a building; uses understanding of arc, chord, tangents, and properties of circles to determine the radius given a circular edge of a circle without the center

数学：理解和应用几何概念的初级和高级特性；用毕德哥拉斯定理、逆定理以及特殊直角三角形性质解决数学的和现实世界的问题；理解基本的直角三角形三角比；运用三角比方法解决数学的或现实的问题。（等高线图上的两个标记之间的俯角确定）运用形体之间的关系及其属性解决数学的或现实的问题（利用四边形内角和等于360度来为建筑物框架取正，运用弧，弦，切线和圆的性质确定缺少中心的一段圆弧的圆心

For radians, these functions are found in boost/units/cmath.hpp These behave as one expects, with trigonometric functions taking an angular quantity and returning a dimensionless quantity, while the inverse trigonometric functions take a dimensionless quantity and return an angular quantity

对于弧度，这些函数定义在 boost/units/cmath.hpp 。这些函数就像你想的那样，三角函数以弧度数量为参数返回一个无量纲数量，反三角函数以无量纲数量为参数返回一个弧度数量

Also the constructed curve is a shape-preserving curve for the original curve. We can also adjust the shape of curves by parameters of trigonometric uniform polynomial curve to approach the polygon closer. The general trigonometric polynomial curves with m degree and C(superscript 2m-1)(m=1, 2, 3) continuity are further presented.

除了通过切点参数，还可以通过三角均匀多项式曲线参数来调整曲线形状，使所得曲线更加逼近多边形，并可进一步、类似地可构造与给定多边形相切的C(上标 2m-1)(m=1， 2， 3)连续的m次三角多项式曲线。

The course content links up always background mathematics course for nine years, have eight chapter in all, include the set, real number, multinomial, dividing into type and irrational expression, function, figure, trigonometric function, against such chapters as trigonometric function and complex number, etc..

课程内容衔接九年一贯基础数学课程，共有八章，包含集合与实数、多项式、分式与无理式、函数及图形、三角函数、反三角函数及复数等章节。

The modified acceleration deceleration control algorithm of trigonometric function is proposed on the basis of studying the acceleration deceleration control algorithm of trigonometric function.

在对三角函数加减速控制算法研究的基础上，提出改进的三角函数加减速控制算法。

I find in my teaching that the students have a lot of difficulty in trigonometric function knowledge, An investigation also shows 30% of the students do not like studying the trigonometric function most.

教学中我发现学生很害怕三角函数知识，调查也表明：30％的学生最不喜欢学习的内容是三角函数。

Then,the great amount of operation of square and trigonometric function is replaced by little amount of operation of square and trigonometric function and great amount of arithmetic operation.

在菲涅尔全息图的计算中，用少量的三角函数、平方运算和大量的四则运算代替原来大量的三角函数和平方运算，减少了全息图的运算量。

As an example to cubic trigonometric polynomial Bézier,the characters of trigonometric polynomial Bézier curve is analyzed,and deduced that cubic trigonometric polynomial Bézier curve is more smooth than cubic polynomial Bézier curve.

Bézier曲线是计算机辅助几何设计中的一类重要曲线，文献[1]介绍了三次Bézier曲线插值，文献[2]介绍了三次Bézier曲线的保凸插值，但难以解决一端曲率为0，另一端曲率比较大的插值问题。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。