用Python绘制整合图

Question

在以下代码中，我已经在Python中实现了Simpsons Rule。我已尝试将整数范围n的适当范围内的绝对误差绘制为n的函数。我知道确切的结果应该是1-cos（pi / 2）。但是我的图似乎不正确。如何修复代码以获得正确的输出？有两个循环，我认为我没有正确实现图形编码

def simpson(f, a, b, n):
    """Approximates the definite integral of f from a to b by the composite Simpson's rule, using n subintervals (with n even)"""

    h = (b - a) / (n)
    s = f(a) + f(b)

    diffs = {}

    for i in range(1, n, 2):
        s += 4 * f(a + i * h)
    for i in range(2, n-1, 2):
        s += 2 * f(a + i * h)

    r = s
    exact = 1 - cos(pi/2)
    diff = abs(r  - exact)
    diffs[n] = diff

    ordered = sorted(diffs.items())
    x,y = zip(*ordered)
    plt.autoscale()
    plt.loglog(x,y)
    plt.xlabel("Intervals")
    plt.ylabel("Error")
    plt.show()
    return s * h / 3

simpson(lambda x: sin(x), 0.0, pi/2, 100)

Answer 1

您的ng new FirstDataApp ? Would you like to add Angular routing? (y/N) events.js:167 throw er; // Unhandled 'error' event ^ 方法应该只为simpson的单个值计算积分（确实如此），但是为n的多个值创建图应该在该方法之外。为：

n