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 ...

In the Inverse Function Theorem video we discuss the Inverse Function Theorem which gives a relationship between the derivative of an invertible function and that of its inverse.

Foutz (1977) uses the Inverse Function Theorem to prove the existence of a unique and consistent solution to the likelihood equations. This note extends his results in three useful directions. The ...

CBSE 12th Maths Inverse Trigonometric Functions Formulas: Check the list of important formulas of mathematics Class 12 Chapter 2 Inverse Trigonometric Functions here with definitions and examples.

Inverse problems, central to modern applied mathematics, involve deducing unknown parameters or functions in differential equations from observed spectral data.

On this page you will find the listing of graduate course descriptions (selected). See course listings for current semester, here.