Analog-to-digital conversion methods abound, but we are going to take a look at a particular approach as shown in Figure 1. Figure 1 An analog-to-digital converter where an analog input signal is ...

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For the first time in its 95-year history, the Institute for Advanced Study (IAS) in Princeton, NJ, has appointed a woman as a permanent professor in its School of Mathematics. Last summer, computer ...

ABSTRACT: In this paper, we use partial differential equations to deal with constraint optimal control problems. We construct extremal flows by differential-algebraic equation to approximate the ...

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

Abstract: A novel matrix approximation problem is considered herein: observations based on a few fully sampled columns and quasi-polynomial structural side information are exploited. The framework is ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. As soon as an appropriate mathematical model is developed, it can ...

Abstract: Community detection is an important problem in unsupervised learning. This letter proposes to solve a projection matrix approximation problem with an additional entrywise bounded constraint.

Two weeks ago, a modest-looking paper was uploaded to the arXiv preprint server with the unassuming title “On the invariant subspace problem in Hilbert spaces”. The paper is just 13 pages long and its ...

Two weeks ago, a modest-looking paper was uploaded to the arXiv preprint server with the unassuming title “On the invariant subspace problem in Hilbert spaces”. The paper is just 13 pages long and its ...