In this paper, we present a derivation of the relativistic equations of Quantum Mechanics. We focus on the second order equations (both Klein Gordon’s and Dirac’s), since the linear Dirac equation can ...

On the one hand, we establish a quantitative mapping between macroscopic binding rates of a deterministic differential equation model and their microscopic equivalents as ... various properties of B ...

The course focuses on the stress tensor, Cauchy’s stress-strain relations, deformations and strain. We study Hooke’s law for elastic matter, Newton’s law of friction in fluids, as well as simple ...

School of Motion has the best Motion Design training on the planet, all online. Whether you’re looking for some professional development to improve your skills or looking to take the first steps ...

In a mesmerising blend of art and mathematics, a research student from University College London (UCL) has recently gained widespread attention for creating intricate images solely through ...

Abstract: Motion planning is critical to realize the autonomous operation of mobile robots. As the complexity and randomness of robot application scenarios increase, the planning capability of the ...

The study is organized as follows. In Section 2, we propose the theoretical model of the quantum sensor, including the Hamiltonian and equations of motion. Following the standard frame [14], we ...

Implementation of the single-step key derivation function (KDF) as described in NIST Special Publication 800-56C Rev1 supporting messages digest and HMAC. An Internet-Draft for the Balloon Key ...

Simple harmonic motion (S.H.M.) and its equation, phase ... simple pendulum: derivation of expression for its time period. Wave motion, longitudinal and transverse waves, speed of the travelling ...