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The program is written in Python and aims to approximate the complex roots of an equation using the Monte Carlo method./该程序使用Python编写，旨在使用蒙特卡洛法来近似求解方程的复数根。
The program is written in Python and aims to estimate the mass of the remaining portion of a sphere using the Monte Carlo method. /该程序使用Python编写，旨在使用蒙特卡洛方法来估计球体剩余部分的质量。
The program is written in Python and aims to use the Rayleigh-Ritz method to solve extremal problems for functionals./该程序使用Python编写，旨在使用瑞利-里兹法求解泛函的极值问题。
The program is written in Python and aims to solve the Poisson equation using the finite difference method./该程序使用Python编写，旨在使用有限差分法解决泊松方程。
The program is written in Python and aims to solve the one-dimensional diffusion equation using the finite difference method./该程序使用Python编写，旨在使用有限差分法解决一维扩散方程。
The program is written in Python and aims to fit data points using the method of least squares, and returns the fitted function expression. /该程序使用Python编写，旨在利用最小二乘法对数据点进行拟合，并返回拟合的函数表达式。
The program is written in Python and aims to solve the Laplace equation using the finite difference method. /该程序使用Python编写，旨在使用有限差分法解决拉普拉斯方程。
This program is written in Python and is used to solve inconsistent systems of equations using the method of least squares./该程序使用Python编写，用于使用最小二乘法求解矛盾方程组。
This program is written in Python and is used to calculate the interpolation polynomial of a function using the Hermite interpolation method./该程序使用Python编写，使用Hermite插值法计算函数的插值多项式。
The program is written in Python and is used to calculate the interpolation of a function using Newton's interpolation method./该程序使用Python编写，用于使用牛顿插值法计算函数的插值。
The program is written in Python and uses the three-point Lagrange interpolation method to calculate the interpolation of the function. /该程序使用Python编写，使用三点拉格朗日插值法计算函数的插值。
This program is written in Python and uses Monte Carlo simulation to estimate the expected value for a single player in multiple rounds of gambling./这个程序是用Python编写的，使用蒙特卡罗模拟计算单个玩家在多次赌博游戏中的期望值。
This program is written in Python and uses Monte Carlo simulation to estimate the expected value for multiple players in multiple rounds of gambling./本程序使用Python编写，利用蒙特卡罗模拟来估计多人多次赌博游戏的期望值。
The program is written in Python and uses the Monte Carlo method to simulate Buffon's Needle experiment. /该程序使用Python编写，运用蒙特卡洛方法来模拟蒲丰投针实验。
The program is written in Python and uses the Monte Carlo method for image processing to calculate the area of a specific shape in an image. /该程序使用Python编写，采用蒙特卡洛方法进行图像处理，计算图片中某个图形的面积。
The program is written in Python and uses the Monte Carlo method to calculate definite integrals, with two main approaches./该程序使用Python编写，采用蒙特卡洛方法计算定积分，主要有两种思路。
This program is written in Python and uses iterative methods to solve the solutions of nonlinear equation sets./这个程序使用Python编写，用迭代法求解非线性方程组的解。
The program is written in Python and uses the Monte Carlo method to calculate the value of pi./该程序使用Python编写，采用蒙特卡洛方法计算圆周率。
The program is written in Python and uses the Newton-Raphson method and the secant method to solve roots for nonlinear equations./这个程序使用Python编写，采用牛顿迭代法和弦截法求解非线性方程的根。
This program is coded using Python and uses two adaptive variable step-size integration methods (adaptive trapezoidal rule and adaptive Simpson's rule) to calculate the numerical integral value of …
This program is programmed using Python and uses two methods, namely the first-order Euler approximation method and the second-order Euler approximation method, to approximate solutions to ordinary…