23个标准测试函数的表达式和名称都是什么

以下是23个标准测试函数的表达式和名称：

Sphere 函数：f(x) = Σi=1n xi^2，也称为 Rosenbrock Function

Schwefel 函数：f(x) = Σi=1n (Σj=1i xi)^2

Schwefel 2.22 函数：f(x) = Σi=1n |xi| + Πi=1n |xi|

Schwefel 2.26 函数：f(x) = Σi=1n (Σj=1i xi)^2

Rosenbrock 函数：f(x) = Σi=1n 100(xi+1 - xi^2)^2 + (1-xi)^2

Step 函数：f(x) = Σi=1n floor(0.5 + xi)

Quartic 函数：f(x) = Σi=1n ixi^4 + rand()

Griewank 函数：f(x) = 1 + 1/4000 Σi=1n xi^2 - Πi=1n cos(xi/√i)

Rastrigin 函数：f(x) = 10n + Σi=1n (xi^2 - 10cos(2πxi) + 10)

Ackley 函数：f(x) = -20exp(-0.2√(1/n Σi=1n xi^2)) -exp(1/n Σi=1n cos(2πxi)) + 20 + e

Levy 函数：f(x) = sin^2(πw1) + Σi=1n-1 (wi-1 -1)^2(1+10sin^2(πwi))

Schwefel 2.13 函数：f(x) = Σi=1n xi^10sin(πxi) + 1

Schwefel 2.20 函数：f(x) = max(|xi|)

Schwefel 2.21 函数：f(x) = Σi=1n |xi| + Πi=1n sin(|xi|)

Schwefel 2.22 函数：f(x) = Σi=1n |xi|^0.5 + Σi=1n sin^2(50xi)^2

Griewank 2 函数：f(x) = 1/4000 Σi=1n xi^2 - Πi=1n cos(xi/√i) + 1

Egg Holder 函数：f(x) = -xi*sin(√(|xi/2 + (yi + 47)|)) - (yi+47)sin(√(|xi - (yi + 47)|))

Rana 函数：f(x) = Σi=1n (xi - cos(xi+1))sin(|xi+1 + xi| +1)

Pathological 函数：f(x) = 0.5 + (sin^2(√(100xi^2 + yi^2)) - 0.5)/(1 + 0.001(xi^2 - 2xiyi + yi^2)^2)

Michalewicz 函数：f(x) = -Σi=1n sin(xi)sin^(2m)(ixi^2/π)

Masters 函数：f(x) = Σi=1n exp(0.1xi)sin(√xi)

Zakharov 函数：f(x) = Σi=1n xi^2 + (∑i=1n(0.5ixi))^2 + (∑i=1n(0.5ixi))^4

Penholder 函数：f(x) = -sin(xi)sin(y)e^{|100-√(xi^2 + yi^2)/π|} - (xi + yi/2)^2cos(2πxi+yi)