Order theory | General topology

Filter (mathematics)

In mathematics, a filter or order filter is a special subset of a partially ordered set (poset). Filters appear in order and lattice theory, but can also be found in topology, from which they originate. The dual notion of a filter is an order ideal. Filters on sets were introduced by Henri Cartan in 1937 and as described in the article dedicated to filters in topology, they were subsequently used by Nicolas Bourbaki in their book Topologie Générale as an alternative to the related notion of a net developed in 1922 by E. H. Moore and Herman L. Smith. Order filters are generalizations of this notion from sets to the more general setting of partially ordered sets. For information on order filters in the special case where the poset consists of the power set ordered by set inclusion, see the article Filter (set theory). (Wikipedia).

Filter (mathematics)
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Introduction to Frequency Selective Filtering

http://AllSignalProcessing.com for free e-book on frequency relationships and more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Separation of signals based on frequency content using lowpass, highpass, bandpass, etc filters. Filter g

From playlist Introduction to Filter Design

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Low Pass Filters & High Pass Filters : Data Science Concepts

What is a low pass filter? What is a high pass filter? Sobel Filter: https://en.wikipedia.org/wiki/Sobel_operator

From playlist Time Series Analysis

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Cube Drone - Bloom Filters

For more information on Bloom Filters, check the Wikipedias: http://en.wikipedia.org/wiki/Bloom_filter , for special topics like "How to get around the 'no deletion' rule" and "How do I generate all of these different hash functions anyways?" For other questions, like "who taught you how

From playlist Software Development Lectures

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Special Topics - The Kalman Filter (1 of 55) What is a Kalman Filter?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is Kalman filter and how is it used. Next video in this series can be seen at: https://youtu.be/tk3OJjKTDnQ

From playlist SPECIAL TOPICS 1 - THE KALMAN FILTER

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Mean-smooth a time series

This is part of an online course on beginner/intermediate applied signal processing, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying signal processing methods to applications in time series analysis. More info here: h

From playlist Signal processing in MATLAB and Python

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Why Use Kalman Filters? | Understanding Kalman Filters, Part 1

Download our Kalman Filter Virtual Lab to practice linear and extended Kalman filter design of a pendulum system with interactive exercises and animations in MATLAB and Simulink: https://bit.ly/3g5AwyS Discover common uses of Kalman filters by walking through some examples. A Kalman filte

From playlist Understanding Kalman Filters

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Discrete noise filters

I discuss causal and non-causal noise filters: the moving average filter and the exponentially weighted moving average. I show how to do this filtering in Excel and Python

From playlist Discrete

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Digital Filtering

Get a Free Trial: https://goo.gl/C2Y9A5 Get Pricing Info: https://goo.gl/kDvGHt Ready to Buy: https://goo.gl/vsIeA5 Remove an unwanted tone from a signal, and compensate for the delay introduced in the process using Signal Processing Toolbox™. For more on Signal Processing Toolbox, visi

From playlist Signal Processing and Communications

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Mathematica Experts Live: Data Manipulation and Visualization

A panel of Mathematica experts share a number of examples showcasing new capabilities of Mathematica 9 for data manipulation and visualization, including image and signal processing, interactive gauges, legends for plots and charts, and integration with R. For more information about Math

From playlist Mathematica Experts Live: New in Mathematica 9

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Foundations S2 - Seminar 6 - Filters and ultrafilters

A seminar series on the foundations of mathematics, by Will Troiani and Billy Snikkers. In this lecture Billy introduces filters and ultrafilters and proves that a filter is maximal iff. it is an ultrafilter. The webpage for this seminar is https://metauni.org/foundations/ You can join t

From playlist Foundations seminar

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Dynamical systems and data assimilation by Amit Apte

Program : Integrable​ ​systems​ ​in​ ​Mathematics,​ ​Condensed​ ​Matter​ ​and​ ​Statistical​ ​Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan L

From playlist Integrable​ ​systems​ ​in​ ​Mathematics,​ ​Condensed​ ​Matter​ ​and​ ​Statistical​ ​Physics

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Cheerios, iPhones and Dysons

Oxford Mathematics Public Lecture: Ian Griffiths - Cheerios, iPhones and Dysons: going backwards in time with fluid mechanics How do you make a star-shaped Cheerio? How do they make the glass on your smartphone screen so flat? And how can you make a vacuum filter that removes the most po

From playlist Oxford Mathematics Public Lectures

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Stéphane Mallat: A Wavelet Zoom to Analyze a Multiscale World

Abstract: Complex physical phenomena, signals and images involve structures of very different scales. A wavelet transform operates as a zoom, which simplifies the analysis by separating local variations at different scales. Yves Meyer found wavelet orthonormal bases having better propertie

From playlist Abel Lectures

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Karlheinz Gröchenig: Gabor Analysis and its Mysteries (Lecture 1)

The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In Gabor analysis one studies the construction and properties of series expansions of functions with respect to a set of time-frequency shifts (phase space shifts) of a single fu

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

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DDPS | Large Eddy Simulation Reduced Order Models

Talk Abstract Large eddy simulation (LES) is one of the most popular methods for the numerical simulation of turbulent flows. In this talk, we survey our group's efforts over the last decade to develop a large eddy simulation reduced order modeling (LES-ROM) framework for the numerical s

From playlist Data-driven Physical Simulations (DDPS) Seminar Series

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AMMI 2022 Course "Geometric Deep Learning" - Lecture 8 (Groups & Homogeneous spaces) - Taco Cohen

Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July 2022 by Michael Bronstein (Oxford), Joan Bruna (NYU), Taco Cohen (Qualcomm), and Petar Veličković (DeepMind) Lecture 8: Group convolution • Regular representation • Spheric

From playlist AMMI Geometric Deep Learning Course - Second Edition (2022)

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State Observers | Understanding Kalman Filters, Part 2

Download our Kalman Filter Virtual Lab to practice linear and extended Kalman filter design of a pendulum system with interactive exercises and animations in MATLAB and Simulink: https://bit.ly/3g5AwyS Learn the working principles of state observers, and discover the math behind them. Sta

From playlist Understanding Kalman Filters

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A PRG for Gaussian Polynomial Threshold Functions - Daniel Kane

Daniel Kane Harvard University March 15, 2011 We define a polynomial threshold function to be a function of the form f(x) = sgn(p(x)) for p a polynomial. We discuss some recent techniques for dealing with polynomial threshold functions, particular when evaluated on random Gaussians. We sho

From playlist Mathematics

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Kalman filtering - Lakshmivarahan

PROGRAM: Data Assimilation Research Program Venue: Centre for Applicable Mathematics-TIFR and Indian Institute of Science Dates: 04 - 23 July, 2011 DESCRIPTION: Data assimilation (DA) is a powerful and versatile method for combining observational data of a system with its dynamical mod

From playlist Data Assimilation Research Program

Related pages

Ideal (order theory) | Topological space | Metric space | Power set | Generic filter | If and only if | Vector space | Partially ordered set | Fréchet filter | Topology | Net (mathematics) | Lattice (order) | First-countable space | Duality (mathematics) | Model theory | Ultrafilter | Duality (order theory) | Directed set | Forcing (mathematics) | Sequence | Empty set | Filter (set theory) | Neighbourhood (mathematics) | Preorder | General topology | Limit (mathematics) | Henri Cartan | Mathematics | Set (mathematics) | Filters in topology | Club filter | E. H. Moore | Subset | Counting measure | Order theory | Interior (topology) | Upper set | Mathematical logic | Class (set theory) | Nicolas Bourbaki | Measure space | Ultraproduct | Measure (mathematics) | Rasiowa–Sikorski lemma | Neighbourhood system | Finite intersection property