Shuffle an Array or a List in Java
How can we rearrange an array of items in random order? A simple way is to manipulate the array by picking elements randomly. Or we can use Java Collections API. Shuffle an Array Write a loop to go through each …
How can we rearrange an array of items in random order? A simple way is to manipulate the array by picking elements randomly. Or we can use Java Collections API. Shuffle an Array Write a loop to go through each …
A collection of random variables is pairwise independent if every pair of variables are independent. Given \(k\) independent bits, we define \(n = 2^k-1\) random variables each of which is a parity of a non-empty subset of the \(k\) bits. …
Google Maps API provides geocoding services to convert addresses (“Singapore 208539”) into geographic coordinates (1.311403, 103.85662). There are two approaches: Client-side geocoding, which uses JavaScript API to send requests and receive responses. HTTP server-side geocoding, which uses HTTP requests to …
Quadratic Forms and Transformation Let \(A = \{a_{ij}\}\) be an \(n\times n\) matrix. A quadratic function of \(n\) variables \(x = (x_1,\ldots, x_n)’\) is defined as \[ f(x) = x’ A x = \sum_{i,j} a_{ij} x_i x_j. \] Without loss …