GitHub

Arduino library for fast non-linear mapping or interpolation of values.

In Arduino applications often the 'raw' value of a sensor is mapped upon a more usable value. E.g. the value of analogRead() 0 .. 1023 is mapped onto 0 .. 5.0 Volt. This is often done by the map() ...
C&EN

Born–Oppenheimer Molecular Dynamics with a Linear Combination of Atomic Orbitals and Hybrid Functionals for Condensed Matter Simulations Made Possible. Theory and Performance ...

Dipartimento di Chimica, Università di Torino, via Giuria 5, 10125 Torino, Italy ...
IEEE

Explicit Conversion Formulas Between Spherical Wave Expansions With Scalar and Vector Expansion Coefficients

Abstract: Explicit formulas for converting spherical wave expansions with vector basis functions and scalar expansion coefficients into spherical wave expansions with scalar basis functions and vector ...
PNAS

Jensen polynomials for the Riemann zeta function and other sequences

This contribution is part of the special series of Inaugural Articles by members of the National Academy of Sciences elected in 2017. Edited by Kenneth A. Ribet, University of California, Berkeley, CA ...
PNAS

Solving high-dimensional partial differential equations using deep learning

Partial differential equations (PDEs) are among the most ubiquitous tools used in modeling problems in nature. However, solving high-dimensional PDEs has been notoriously difficult due to the “curse ...
IEEE

Distributed LQR Optimal Protocol for Leader-Following Consensus

Abstract: This paper addresses the linear quadratic regulator optimal leader-following consensus for multiagent systems in a single-integrator form. Substantially different from the existing related ...