In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

In this work we present a theoretical model for differentiable programming. We construct an algebraic language that encapsulates formal semantics of differentiable programs by way of Operational ...

1 Department of Mathematics, Nabadwip Vidyasagar College, Nabadwip, India. 2 Department of Applied Mathematics, University of Calcutta, Kolkata, India. 3 Reactor Control Systems Design Section, E & I ...

Over the past three decades, fractional calculus has gained increasing importance and practical relevance in various fields of science and engineering. This article aims to develop enhanced ...

Abstract: A data-type for differential calculus is introduced, which is based on domain theory. We define the integral and also the derivative of a Scott continuous function on the domain of intervals ...

An illustration of a magnifying glass. An illustration of a magnifying glass.