Chapter 2 - 2.1-2

[^1]

def insertion_sort_nonincresing(A):
    for i in range(1, len(A)):
        key = A[i]
        j = i - 1
        while j >= 0 and A[j] < key:
            A[j + 1], A[j] = A[j], key
            j -= 1
    return A


print(insertion_sort_nonincresing([5, 2, 3, 4]))

lala

$a^2 + b^2 = c^2$ $\mathsf{Data = PCs} \times \mathsf{Loadings}$ $\mathbf{X}\_{n,p} = \mathbf{A}\_{n,k} \mathbf{B}\_{k,p}$

test we have $x_1 = 132$ and $x_2 = 370$ and so .

And test a display math without equaltion number:

$\frac{\delta E_{x}}{\delta t} = \frac{\delta f(z-ct)}{\delta t} = f^{\prime}(z - ct)\Big(\frac{\delta(z-ct)}{\delta t}\Big) = -c*f^{\prime}(z - ct)$ $\begin{align*} & \phi(x,y) = \phi \left(\sum_{i=1}^n x_ie_i, \sum_{j=1}^n y_je_j \right) = \sum_{i=1}^n \sum_{j=1}^n x_i y_j \phi(e_i, e_j) = \\ & (x_1, \ldots, x_n) \left( \begin{array}{ccc} \phi(e_1, e_1) & \cdots & \phi(e_1, e_n) \\ \vdots & \ddots & \vdots \\ \phi(e_n, e_1) & \cdots & \phi(e_n, e_n) \end{array} \right) \left( \begin{array}{c} y_1 \\ \vdots \\ y_n \end{array} \right) \end{align*}$ $\begin{equation} E = mc^2 \end{equation}$