Discover a fast and powerful calculus-based method for finding square roots with impressive accuracy. This explanation shows ...

ION has enhanced its XTP Risk JANUS solution through the use of AI to optimise pre-trade risk management and balance speed and accuracy in pre-trade validation. XTP Risk Janus is an intraday solution ...

ION has announced an upgrade to its XTP Risk JANUS solution, integrating AI technology to improve pre-trade risk management capabilities. The enhancement optimizes the accuracy of CME’s SPAN2 ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

ABSTRACT: Fractional-order time-delay differential equations can describe many complex physical phenomena with memory or delay effects, which are widely used in the fields of cell biology, control ...

Neural networks are often treated as a "black box," and their interpretation and construction is based on empirical evidence. However, for scientific applications, accurate and stable approximation of ...

1 College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, China. 2 School of Statistics and Data Science, Jiangxi University of Finance and Economics, Nanchang, China.

Abstract: The complex-step derivative approximation is a numerical differentiation technique that can achieve analytical accuracy, to machine precision, with a single function evaluation. In this ...

We review the derivative expansion (DE) method in Casimir physics, an approach which extends the proximity force approximation (PFA). After introducing and motivating the DE in contexts other than the ...