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Abstract: Recently, analog matrix inversion circuits (INV) have demonstrated significant advantages in solving matrix equations. However, solving large-scale sparse tridiagonal linear systems (TLS) ...

Analog computers are systems that perform computations by manipulating physical quantities such as electrical current, that ...

Two decades ago, the mathematician Moon Duchin spent her summers teaching geometry at Mathcamp, a program for mathematically talented teens. Campers contemplated notions such as how to prove whether a ...

Solving an equation means finding the value or values for which the two expressions on each side of the equals sign are equal. One of the most common methods used to solve equations is the balance ...

From industrial robots to self-driving cars, engineers face a common problem: keeping machines steady and predictable. When ...

A number machine is a way of writing rules using a flow diagram. The equation \(3j - 6 = 9\) can be shown on a number machine by writing out the functions that have been applied to \(j\) in the order ...

A human has outkissed one of Google’s superpowered artificial intelligence systems. The achievement isn’t in the realm of ...

Penn Engineers have developed a mathematical "Rosetta Stone" that translates atomic and molecular movements into predictions ...

TWA is one such semiclassical approach that dates back to the 1970s, but is limited to isolated, idealized quantum systems ...