Sequence Slicing Notation for Last Elements

Matrix Slice Notation for a Sequence Window ($\mathbf{K}_{[i-n+1,i]}$)

A matrix is a rectangular array of numbers organized into rows and columns. Given this definition, which of the following correctly uses standard notation to represent a 2x3 matrix (2 rows and 3 columns) containing the integers from 1 to 6?

Concatenated Matrix Notation ($\mathbf{W}_h$)

Row Vector Notation ($k_{j'} \in \mathbf{K}^{[u]}$)

Matrix Construction

The following expression correctly uses standard notation to represent a 2x2 matrix: { {5, 6}, {7, 8} }

Context Window Slice Notation ($\mathbf{K}_{[i-n_c+1,i]}$)

Column Vector Representation

Vector Slice Notation for a Sequence Window ($\mathbf{V}_{[i-n+1,i]}$)

Matrix Slice Notation for a Sequence Window ($\mathbf{K}_{[i-n+1,i]}$)

A process is analyzing a sequence of data points, [10, 20, 30, 40, 50, 60, 70, 80, 90, 100], which are indexed starting from 0. The process needs to select a window of n=5 consecutive elements. If the last element of the window is at index i=7, which of the following sub-sequences represents the correct window of data?

Debugging a Sequence Slicing Function

An algorithm processes a long sequence of data by examining a 'window' of n=10 consecutive elements at a time. If the algorithm is currently focused on the specific window of elements from index 90 to index 99 (inclusive), then the variable i representing the end-point of the current window would be 100.