有没有更有效（通用）的方法来在 Python 或 R 中为给定间隔上的函数找到 arg max？

Question

in math, arg max f(x) is to find a value of x to maximize the function f(x).

assume f(x) = sin(x), interval [0,𝜋], here is the code.

>>> x = []
>>> for i in range(1001):
...     x.append(i*np.pi/1000)
>>> sine_between_interval = np.sin(np.array(x))
>>> idx_max = np.argmax(sine_between_interval)
>>> idx_max
500

the question is, is there a more efficient (or general) way to find the solution value of a arg max on a given interval in Python or R?

Answer 1

Here is a solution in R :

optimize(function(x) sin(x), c(0, pi), maximum = TRUE)

$maximum

[1] 1.570796

$objective

[1] 1

where objective is your argmax