example of reverse-mode/adjoint differentiation for optimizing g(p) = f(A(p)⁻¹b), showing why a linear-operator formula like d(A⁻¹)=–A⁻¹ dA A⁻¹ is actually ... is important to the study of partial ...

Determining habitable zones in binary star systems can be a challenging task due to the combination of perturbed planetary orbits and varying stellar irradiation conditions. The concept of ...

Divide your income among needs, wants, savings and debt repayment. Many, or all, of the products featured on this page are from our advertising partners who compensate us when you take certain ...

Chemistry, mathematics and physics are central to our understanding of nature. Physics explores the fundamental laws of mechanics, electromagnetism, quantum mechanics and relativity. Chemistry studies ...

We report on a partially coherent power-exponent-phase vortex beam (PC-PEPV), whose spatial coherence is controllable and the initial phase exhibits a periodic power exponential change. The PC-PEPV ...

Since the ball is a sphere, is it possible that the ball’s actual contact with the court does not touch a line? From an overhead view the ball may appear to hit the line, but the ball’s width ...