Abstract: This paper presents a patch-sparsity-based image inpainting algorithm through a facet deduced directional derivative. The algorithm could ensure the continuity of boundaries of the inpainted ...

Risk is coming off fast in Bitcoin’s derivatives market. Total open interest has dropped to $44 billion from a peak above $94 billion in October 2025, a 55% decline and the steepest drawdown since ...

The Reserve Bank of India (RBI) on Friday set the stage for the debut of so-called total return swaps (TRS) proposed in the Union budget, by revising the definition of credit derivatives to include ...

This Wolfram Language (WL) Paclet provides an implementations of dual numbers and adds support for a number of built-in symbols to work with them. This should allow the user to perform automatic ...

I went to Formula One expecting fast cars and champagne showers. What I found at Austin's Circuit of the Americas during the preliminary races of the U.S. Grand Prix on Friday was a sprawling, ...

F1 CEO Stefano Domenicali hailed the sport's new deal with Apple as a chance to become "part of the culture" in the U.S. Illustration: Kelsea Petersen/The Athletic; Kym Illman/Mark Sutton/WPA ...

For a function f: x -> y, the Jacobian function has the signature: jac_f: x, out_y -> dy/dx. This signature makes a lot of sense in some situations. For example, if f is an implicit function, passing ...

The National Commodity and Derivatives Exchange has inked a pact with the India Meteorological Department for launch of India’s first weather derivatives. V Shunmugam & Kailvalya Dhase explain how ...