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The purpose of this note is to demonstrate that a weak form of club guessing on ω1 implies the existence of an Aronszajn line with no Countryman suborders. An immediate consequence is that the existen...
The filtering problem have an important role in the theory of stochastic differential equations(SDEs). In this paper, we present an application of the continuous Kalman-Bucy filter for a RC circuit. T...
This document derives the CPHD filter for extended targets. Only the update step is derived here. Target generated measurements, false alarms and prior are all assumed to be independent identically d...
The Filter Dichotomy says that every uniform nonmeager filter on the integers is mapped by a finite-to-one function to an ultrafilter. The consistency of this principle was proved by Blass and Laflamm...
In this study, base on traditional lapped transform’s properties, inherit from some of the special characteristic properties of discrete cosine transform, trigonometric identities and the structure ...

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