Strengthening the Army R&D Program

Abstract

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Study on the Voltage Reference Noise at Sub-Millihertz Frequencies for Developing an Ultra-Stable Temperature Measurement Subsystem

“…The ADC is used to convert analog signals into digital signals. There are two main types of noise here, the quantization noise N q [29] and the input-referred noise N ref [30], which can be expressed as:…”

On quasi-isometric embeddings of Lamplighter groups

“…These groups provide examples to the fact that the property of being virtually solvable and also the property of being virutually torsion free are not geometric properties, that is, they are not preserved under quasi-isometries ( [4]). From a probabilistic point of view, random walks on the Cayley graph of a Lamplighter group have been extensively studied in [5], [6], [8]. From the point of view of geometric group theory, one is interested in the quasi-isometry classification of the Lamplighter groups.…”