In this article, the writer expounds the method to get constant calculus equation's original amount by Euler, ameliorated Euler and classical Runge-Kutta with the aid of computers. 本文以计算机为辅助计算工具,分别使用Euler算法、改进Euler算法以及经典Runge-Kutta算法实现对常微分方程的初值问题进行数值求解。
On this account, the classical Euler's formula based on constant coefficient of friction is thus revised. 考虑到这个因素,对按照摩擦系数为常数而推导出来的欧拉公式进行了修正。
We shall construct three different mathematical forms of Euler's constant γ by two different mathematical forms of Gamma's function, and calculate the improper integral, the sums of some numeral series, the infinite product and so on by Euler's constant γ. 本文通过格玛函数Γ(x)的两种不同表达方式建立Euler常数γ的三个不同的数学表达式,并由此来计算有关非正常积分、级数的和以及无穷乘积的值等。
Euler's Constant and Sum of Series Euler常数与级数和
The Mathematical Expressions and Applications of Euler's Constant Euler常数的数学表示及其应用