Support your confidence in this topic by refreshing your knowledge of substitution and changing the subject of formulae. A function takes an input value, applies a rule to it, and produces an output ...

Let Fn be a free group of rank n with free basis x1, ⋯, xn. Let {y1, ⋯, yk} be a set of k ≤ n elements of Fn, where each yi is represented by a word Yi(x1, ⋯, xn) in the generators xj. Let ∂ yi/∂ xj ...

Dr. James McCaffrey of Microsoft Research presents a full-code, step-by-step tutorial on an implementation of the technique that emphasizes simplicity and ease-of-modification over robustness and ...

CBSE Class 12 Maths Mind Map: The new school session has commenced, and most students have begun their preparation for the board exams. Succeeding in Class 12 is no easy task, and consistent practice ...