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	Filter (mathematics) - Wikipedia, the free encyclopedia
		The dual notion of a filter is an ideal.
		That interpretation of membership in a filter is used (for motivation, although it is not needed for actual proofs) in the theory of ultraproducts in model theory, a branch of mathematical logic.
		In topology and analysis, filters are used to define convergence in a manner similar to the role of sequences in a metric space.
	en.wikipedia.org /wiki/Filter_(mathematics) (948 words)

	Filter article - Filter Filter (chemistry) Filter (mathematics) subset partially ordered - What-Means.com (Site not responding. Last check: 2007-10-21)
		Filter (chemistry) — a device to separate mixtures
		Filter (signal processing) — a device or algorithm for signal processing (e.g.
		Filter (water) — a device to physically separate impurities from water
	www.what-means.com /encyclopedia/Filter (187 words)

	Encyclopedia: Filter-(mathematics) (Site not responding. Last check: 2007-10-21)
		An ultraproduct is a mathematical construction, which is used in abstract algebra to construct new fields from given ones, and in model theory, a branch of mathematical logic.
		In mathematics, model theory is the study of the representation of mathematical concepts in terms of set theory, or the study of the models which underlie mathematical systems.
		Mathematical logic is a discipline within mathematics, studying formal systems in relation to the way they encode intuitive concepts of proof and computation as part of the foundations of mathematics.
	www.nationmaster.com /encyclopedia/Filter_%28mathematics%29 (1825 words)

	Filter (Site not responding. Last check: 2007-10-21)
		Filters are often used to remove harmful substances from air or water, for example to reduce air pollution.
		An analog filter is a form of filter (usually electronic) that uses analog circuitry in its implementation.
		A digital filter is an algorithm for processing numeric data, and which can also be used in digital signal processors to function in a similar way to an electronic filter.
	www.theezine.net /f/filter.html (175 words)

	Filter (mathematics)
		Filters are useful in topology: they play the role of sequences in metric spaces.
		The set of all neighbourhoods of a point x in a topological space is a filter, called the neighbourhood filter of x.
		A filter which is a superset of the neighbourhood filter of x is said to converge to x.
	www.ebroadcast.com.au /lookup/encyclopedia/ma/Mathematical_filter.html (306 words)

	Filter (mathematics)
		An important special case of order filters are filters of sets, which are obtained by taking the powerset of a set S as a partial order, ordered by subset inclusion.
		Given a filter F on a set X and a function, the set forms a filter base for a filter which, in a slight abuse of notation, we denote by.
		Given a uniform space X, a filter F on X is said to be cauchy if for every U in the entourage, there is an with for every.
	www.brainyencyclopedia.com /encyclopedia/f/fi/filter__mathematics_.html (866 words)

	Filter (mathematics) -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-21)
		Filters appear in ((biology) taxonomic group containing one or more families) order and (Click link for more info and facts about lattice theory) lattice theory, but can also be found in (The configuration of a communication network) topology.
		Filters were introduced by (Click link for more info and facts about Henri Cartan) Henri Cartan in 1937 and subsequently used by (Click link for more info and facts about Bourbaki) Bourbaki in their book (Click link for more info and facts about Topologie Gènèrale) Topologie Gènèrale.
		Hence, most additional information on this topic (including the definition of maximal filters and prime filters) is to be found in the article on (The idea of something that is perfect; something that one hopes to attain) ideals.
	www.absoluteastronomy.com /encyclopedia/F/Fi/Filter_(mathematics).htm (1094 words)

	Filter - Wikipedia, the free encyclopedia
		See filter (chemistry), filter (water), filter (air), pneumatic filter.
		In mathematics, a certain kind of subset of a partially ordered set.
		Filter feeder, an animal that strains food particles from water
	en.wikipedia.org /wiki/Filter (151 words)

	Engineers Look to Kalman Filtering for Guidance
		In Kalman filtering, the connection is assumed to be linear, and there is an additional "noise" vector representing uncertainties in the dynamics of the system: $x(k) = M(k)x(k - 1) + u(k)$, where $M(k)$ is a linear transformation describing the time-evolution of the system and $u(k)$ has known (or postulated) statistical properties.
		A Kalman filter is needed to estimate the coefficients used in constructing the antinoise.
		Before the development of the Kalman filter, practitioners were limping along with a device known as the Wiener filter, which was developed in the 1940s by Norbert Wiener of MIT in response to some of the very practical technological problems that arose during the Second World War.
	www.siam.org /siamnews/mtc/mtc893.htm (1861 words)

	[No title]
		On the other hand, because mathematics is a rigorous and challenging course of study that trains the mind, I require of my own children that they take the highest level of mathematics possible all through their high schools years--regardless of what they wish to pursue as careers in college and later in life.
		If a student doesn't continue in mathematics through calculus or pre-calculus while still in high school--perhaps for lack of early interest in pursuing a career in science or engineering--that student will need to do a lot of catching up if he or she discovers later on that indeed, science and engineering are interesting after all.
		Frankly, our mathematics department is the least connective across disciplines and we have had to hire people with good high school backgrounds as instructors to meet the needs of the developmental and QL courses.
	www.stolaf.edu /other/ql/Ephemeral/ql.int.txt (11069 words)

	Chebyshev
		Pogorelski was the author of some of the most popular elementary mathematics texts in Russia at the time and certainly inspired his pupil and gave him a solid mathematical education.
		In spite of the great advance of the mathematical sciences due to the works of the outstanding mathematicians of the last three centuries, practice clearly reveals their imperfection in many respects; it suggests problems essentially new for science and thus challenges one to seek quite new methods.
		in 1853 with the chair of applied mathematics, an extraordinary academician in 1856 and an ordinary academician in 1859, again with the chair of applied mathematics.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Chebyshev.html (2919 words)

	Filter (mathematics) - Enpsychlopedia (Site not responding. Last check: 2007-10-21)
		A (proper) filter which is a superset of $N_x$ is said to converge to x, written $F \to x$ .
		Given a filter F on a set X and a function $f : X \to Y$ , the set $\{ f(A) : A \in F \}$ forms a filter base for a filter which, in a slight abuse of notation, we denote by $f(F)$ .
		Given a uniform space X, a filter F on X is called Cauchy filter if for every U in the entourage, there is an $A \in F$ with $(x, y) \in U$ for every $x, y \in A$ .
	www.grohol.com /psypsych/Filter_base (1143 words)

	Filter biography .ms (Site not responding. Last check: 2007-10-21)
		Filter (chemistry) — a device to separate mixtures, e.g.
		Filter (software) — any software that processes a data stream (e.g.
		Filter was also the name of a 1990s industrial rock band; see Filter (band).
	filter.biography.ms (106 words)

	Filter (Site not responding. Last check: 2007-10-21)
		Filter (mathematics) - a certain kind of subset of a partially ordered set
		Filter (signal processing) - a device or algorithm for signal processing (e.g.
		Filter (part) - a device that provides a physical barrier to unwanted impuries (e.g.
	www.yotor.com /wiki/en/fi/Filter.htm (127 words)

	Filter Set 1 (Site not responding. Last check: 2007-10-21)
		Filter Set 1 goes FAST: Filter Set 1 has been updated to dramtically (200%) speed up the G Levels and G Super Levels filters.
		The new improved filter code checks to see if you've altered any of the settings, and if you have not, it does not bother calculating the complex mathematics that generate the smooth curves, using a cached copy instead.
		Filter Set 1 is the first in a new range of filters, transitions and generators for Apple's Final Cut Pro, programmed by Graeme Nattress.
	www.nattress.com /set1.htm (256 words)

	Analog Filters Tutorial CD-ROM
		The Analog Filters interactive CD-ROM course provides everything from a refresher on the basic knowledge required to design filters to a course in advanced filter design.
		Filter Basics is a course in terminology and filter characterization, important classes of filter fundamental mathematics, filter order impedance and impedance matching, and effects of different filter types.
		The virtual laboratories guide users through basic requirements of capture and filter synthesis to simulation and E12 normalization for a range of both passive and active filters.
	microcontrollershop.com /product_info.php?products_id=582 (476 words)

	Nuclear Elephant: Justifying Statistical Filtering (and Open Source) (Site not responding. Last check: 2007-10-21)
		Statistical filtering has now been mainstream for about three years, but despite its technical excellence, most appliance manufacturers are outfitting their boxes with the older style filters and even though the box is technically "new", this old technology is winding up on many networks.
		Statistical filtering is a technology developed by the open-source community and copied by the commercial industry, which is quite the stumbling block to companies like Microsoft, who have frequently positioned the open-source community to appear as a group of pirates (aargh!) who carbon-copy technology.
		Heuristic filters demand the attention of the systems administrators or monthly subscription for automatic updates (spam detection rules coming from complete strangers); frequent updates must be installed or transmitted to counter the dynamic nature of spam with new rules.
	www.nuclearelephant.com /papers/justifying.html (5362 words)

	Filter (mathematics) : Filter (topology) (Site not responding. Last check: 2007-10-21)
		terms defined : Filter (mathematics) : Filter (topology)
		A filter F on a set S is a set of subsets of S with the following properties: S is in F. filter F on a set S is a set of subsets of S with the following properties:
		All is still licensed under the GNU FDL.
	www.termsdefined.net /fi/filter-(topology).html (477 words)

	filter by AnswerNation
		Filter (chemistry) — a device to separate mixtures Filter (mathematics) — a certain kind of subset of a partially ordered set Filter program — in Unix, any program with standard I/O streams.
		mail filter, printer filter, Internet filter) Filter (signal processing) — a device or algorithm for signal processing (e.g.
		infrared filter, ND filter, UV filter) — a device that blocks certain wavelength ranges of light Filter (band) — a 1990s industrial rock band Filter (water) — a device to physically separate impurities from water Filter (part) — a device that provides a physical barrier to unwanted impuries (e.g.
	www.answernation.com /def/filter.html (147 words)

	MIT OpenCourseWare \| Mathematics \| 18.327 Wavelets, Filter Banks and Applications, Spring 2003 \| Home
		This cross-disciplinary course on Wavelets, Filter Banks and Applications features a complete set of lecture notes, problem sets, tools, and related resources.
		The coefficients at each scale are filtered and subsampled to give coefficients at the next scale.
		This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks.
	ocw.mit.edu /OcwWeb/Mathematics/18-327Wavelets--Filter-Banks-and-ApplicationsSpring2003/CourseHome (153 words)

	Filter (mathematics) : Mathematical filter (Site not responding. Last check: 2007-10-21)
		Current city Street: Filter (mathematics) : Mathematical filter <
		That interpretation of membership in a filter is used (for motivation, although it isn't needed for actual proofs) in the theory of ultraproducts[?] in model theory, a branch of mathematical logic.
		Harte, upon the new it, that he sent it me from Windsor the instant he had read.html">read it.
	www.city-search.org /ma/mathematical-filter.html (480 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		The main results to be covered are: (1) ``Every filter in a countable partial order can be extended to a maximal filter'' is equivalent to $\ACA_0$ over $\RCA_0$, and (2) ``Every directed filter in a countable partial order can be extended to a maximal directed filter'' is equivalent to $\Pi^1_1-\CA_0$ over $\RCA_0$.
		A directed filter is a filter which contains a lower bound for each pair of its elements.
		A maximal filter is a filter which cannot be extended to a larger filter; a maximal directed filter is defined analogously.)
	www.math.psu.edu /simpson/logic/seminar/031021.html (154 words)

	Amazon.com: Books: Active Filter Cookbook (Site not responding. Last check: 2007-10-21)
		A filter is a frequency-selective network that favors certain frequencies of input signals at the expense of others.
		The design of electronic filters is usually seen as a complex and difficult task, best handled by specialists.
		The principles and mathematics at the root of this subject are not trivialised but are explained in such a way that the non-specialist will have little trouble achieving success.
	www.amazon.com /exec/obidos/tg/detail/-/075062986X?v=glance (1275 words)

	Technology Overview
		With SDM Wavelet mathematics, a filter is used per sub-band to generate the transmission Wavelet Impulse signal and a corresponding filter is used to decode the impulse.
		In the frequency domain, single-carrier modulations require the use of a Raised Cosine filter to shape the stopbands (guardbands) of the carrier.
		The parameters of the filter can be adjusted to produce a stopband of any size allowing the tailoring of the system for different applications.
	www.broadbandphysics.com /tech.html (1533 words)

	filter - OneLook Dictionary Search
		Filter (m), filter, filter (het) : AllWords.com Multi-Lingual Dictionary [home, info]
		Phrases that include filter: low pass filter, filter paper, bandpass filter, high pass filter, filter bed, more...
		Words similar to filter: dribble, filtered, filtering, filtrate, percolate, permeate, strain, trickle, filter out, screen, seep, separate out, sink in, more...
	www.onelook.com /cgi-bin/cgiwrap/bware/dofind.cgi?word=filter (586 words)

	Analog Design Initiative (Site not responding. Last check: 2007-10-21)
		Filters is a complete course in designing active and passive filters and is presented in three 3 sections:
		Filter Design includes virtual laboratories that guide users through basic requirements capture and filter synthesis to simulation and E12 normalisation for a range of both passive and active filters.
		Using filter tables: Define pass band shape, define pass band ripple, define frequency band, select filter order, normalised tables, de-normalising for frequency, de-normalising for impedance, high pass filters, band pass filters, band stop filters, active filters
	www.sli-institute.ac.uk /analog/archive/0010_cdrom.htm (383 words)

	ii.com · Procmail Quick Start: An introduction to mail filtering with a focus on procmail by Nancy McGough
		filtering rule, Visual Office use the term rule, SeaMonkey (Mozilla Suite) and Thunderbird use the term message filter, SmartSieve uses the term Mail Filter Rule, and Mulberry uses the terms script, trigger, and rule to encompass this concept.
		In Procmail, regular expressions are used in the conditions of a recipe to, for example, look for a pattern in the Subject header of a message.
		Use Procmail recipes to filter the possibly-spam (not known non-spam) messages through a spam-detection tool, such as SpamAssassin, to assign a spam score or spam probability.
	www.ii.com /internet/robots/procmail/qs (8126 words)

	American Educational Research Association
		In this symposium, we will consider whether the current emphasis on the importance of mathematics education is well-founded, the important role of mathematics as a “filter” in our educational and economic, and political systems, and the inequitable outcomes of that filter for students of different demographic groups.
		Scholars will consider these questions from several different theoretical perspectives, including curriculum theory, educational philosophy, culturally relevant pedagogy, mathematics education, equity in education, and mathematics itself.
		The symposium will begin with brief presentations from the speakers, followed by a structured conversation among the speakers and with the audience.
	convention.allacademic.com /aera2004/session_info.html?c_session_id=12&part_id1=26519&dtr_id=2778 (133 words)

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