Examples of using Euler in English and their translations into Chinese
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Returns Ex, where x is the argument, and E is Euler's constant(2.718…), the base of the natural logarithm.
Throughout his life, Euler published an estimated 885 papers and books regarding mathematics and other disciplines.
在欧拉的一生中，它出版了885份关于关于数学和其他学科的论文和书籍。E: Euler's constant and the base of natural logarithms, approximately 2.718.
E是欧拉常数和自然对数的基数（底），约为2.718。An Euler path that is a circuit is called Euler circuit.
如果一个回路是欧拉路径，则称为欧拉回路(Eulercircuit)。Euler solved this problem in 1736, showing that it was not possible.
LeonhardEuler在1735年解决了这个问题，证明这是不可能的。The sum of the entries in row n is A000111(n)(Euler or up-down numbers).
行n中的条目之和为A0000111（n）（欧拉数或上下数）。To track down a graph's“eulerness”, we should trace an Euler path within it.
为了找到一个图具有“欧拉性”，我们应该在其中找到一个欧拉路径。Where χ( M){\displaystyle\chi(M)} denotes the Euler characteristic of M. The Euler class is defined as.
Χ(M){\displaystyle\志(M)}是M的欧拉示性数。欧拉类是.Concerned about the continuing turmoil in Russia, Euler left St. Petersburg on 19 June 1741 to take up a post at the Berlin Academy, which he had been offered by Frederick the Great of Prussia.
Dr Euler speculated that in the 1970's, as computers became more prevalent, men who liked science and math started to pursue careers in technology.
Euler showed that the possibility of walking through a graph(city) using each edge(bridge) only once, strictly depends on the degree of vertices(land).
欧拉表明，使用每个边（桥）只走一次图（城市）的可能性，严格依赖于顶点（陆地）的度数。Euler Angles: defined as yaw, pitch and roll that allow us to form any 3D direction vector from these 3 values.
欧拉角(EulerAngles):被定义为偏航角(yaw)，俯仰角(pitch)，和滚动角(roll)从而允许我们通过这三个值构造任何3D方向。Starting from the line segments and triangles, he extended the classical polyhedron Euler formula to Gauss-Bonnet formula to reveal the essence of“Shapes”.
关于“形”，他从线段、三角形讲起，将经典的多面体Euler公式引伸至Gauss-Bonnet公式，揭示了“形”的本质。After Jones introduced the Greek letter in 1706, it was not adopted by other mathematicians until Euler started using it, beginning with his 1736 work Mechanica.
后，琼斯在1706年介绍了希腊字母，它不通过其他数学家直到欧拉开始使用它，开始他的1736工作力学。Say the problem COMPOSITE={"Is n composite": n is an integer} or EULERPATH={"Does the graph G have an Euler path?": G is a finite graph}.
说问题COMPOSITE={“Isncomposite”：n是一个整数}或EULERPATH={“图表是否G有欧拉路径？”：G是有限图}。Euler's method uses the line tangent to the function at the beginning of the interval as an estimate of the slope of the function over the interval, assuming that if the step size is small, the error will be small.
欧拉方法利用区间開端端点的函數切线，来估计函数在此区间内的斜率，並假设著如果步长很小，误差就很小。Euler showed that the possibility of walking through a graph(city) using each edge(bridge) only once, strictly depends on the degree of vertices(land).
在Euler的努力下，他证明了在图上（城市里）每次只走过一条边（桥）并且走过每一条边是严格取决于节点自由度。Where γ≈ 0.5772{\displaystyle\gamma\approx 0.5772} is the Euler- Mascheroni constant. The standard deviation is β π/ 6{\displaystyle\beta\pi/{\sqrt{6}}}.[3].
其中γ≈0.5772{\displaystyle\伽玛\约0.5772}欧拉-Mascheroni常数。标准差是βπ/6{\displaystyle\beta\pi/{\sqrt{6}}}。[3].First, the predictor step: starting from the current value y i{\displaystyle y_{i}}, calculate an initial guess value y~ i+ 1{\displaystyle{\tilde{y}}_{i+1}} via the Euler method.
首先，预估步：从当前的值yi{\displaystyley_{i}}开始，由欧拉方法计算初步估算值y~i+1{\displaystyle{\tilde{y}}_{i+1}}，.Project Euler.
欧拉计划.
