One useful feature of the Python math module is quick access to mathematical constants. You can make Python more effective as ...

Abstract: We present new exponential bounds for the Gaussian Q function (one- and two-dimensional) and its inverse, and for M-ary phase-shift-keying (MPSK), M-ary ...

The book is devoted to the mathematical foundations of nonextensive statistical mechanics. This is the first book containing the systematic presentation of the mathematical theory and concepts related ...

Is it really possible that half of all people who have ever been age 65 or older are still alive today? We explore the ...

FastMath is a comprehensive mathematical library designed for applications requiring optimized mathematical computations. It implements 25 mathematical functions using advanced optimization techniques ...

Abstract: An exponential function generator using the relation between emitter-base voltage and collector current of a silicon transistor is described briefly. The inherent temperature dependence is ...

OpenAI and Apple have moved to dismiss a lawsuit by Elon Musk's xAI, alleging that ChatGPT's integration into a "handful" of ...

† Nanomedicine and Nanobiotechnology Laboratory and ‡ Center for Integrated Functional Materials, Department of Physics, University of South Florida, Tampa, Florida 33620, United States *Tel.: +1 (813 ...

Foundations for algebra -- Solving equations -- Solving inequalities -- An introduction to functions -- Linear functions -- Systems of equations and inequalities -- Exponents and exponential functions ...

Researchers now say OpenAI’s GPT-5 has helped prove strict limits on QMA. The model suggested a mathematical expression that led to a breakthrough on how far error reduction can go. The study may be ...