Abstract: Computing derivatives of noisy measurement data is ubiquitous in the physical, engineering, and biological sciences, and it is often a critical step in developing dynamic models or designing ...

In this paper, Fraunhofer diffraction patterns generated by square and circular annular apertures are studied. The annular region is defined as the difference between two concentric areas of equal ...

Numerov’s numerical method is developed in a didactic way by using Python in its Jupyter Notebook version 6.0.3 for three different quantum physical systems: the hydrogen atom, a molecule governed by ...

Explore our campus, meet lecturers and current students, and learn more about what it's like to study at Manchester. Tailor your learning with a flexible degree programme offering a wide range of ...

1 Doctoral School, University of Burundi, Bujumbura, Burundi. 2 Department of Mathematics, University of Burundi, Bujumbura, Burundi. 3 Department of Mathematics, University of Nairobi, Nairobi, Kenya ...

This course provides the perfect blend of learning. We’ll build your business and finance knowledge through real-world scenarios focusing on accountancy, financial modelling and economics, while ...

Welcome to piglot, a Python tool taylored for the automated optimisation of responses from numerical solvers. We aim to provide a simple and user-friendly interface that is also easily extendable, ...

In deep neural networks, representational learning in the middle layer is essential for achieving efficient learning. However, the currently prevailing backpropagation learning rules (BP) are not ...

In cortical circuits, interacting cell types create intriguing nonlinear behaviors. Understanding how these nonlinear phenomena arise has been a puzzle. Through a combination of mathematical analyses ...