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Topic: Counting measure

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Outer measure

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	Measure (mathematics) - Wikipedia, the free encyclopedia
		A measure can be extended to a complete one by considering the σ-algebra of subsets Y which differ by a negligible set from a measurable set X, that is, such that the symmetric difference of X and Y is contained in a null set.
		The Haar measure for a locally compact topological group is a generalization of the Lebesgue measure and has a similar uniqueness property.
		Measures that take values in Banach spaces have been studied extensively.
	en.wikipedia.org /wiki/Measure_(mathematics) (1077 words)

	Measure
		Measure informs analysis and is one of the key building blocks of the modern theory of analysis and probability.
		Measure Property 2: The value of μ under any finite or countably infinite disjoint union of subsets of X that are also elements of M is equal to the finite or countably infinite sum respectively of the value of μ under each of the subsets.
		Measure allows the expansion of the definition of the integral to functions whose domain is any arbitrary set with a corresponding σ-algebra and measure.
	www.iscid.org /encyclopedia/Measure (2343 words)

	Detectors
		Gross counting of gamma rays will determine the presence or absence of this radiation, but can only be used to determine activity if a single gamma ray is present or if a simple mixture is known and multiple measurements are made at different times.
		In radiation measurements, the geometric efficiency is the ratio of the number of radiation particles or photons that hit the detector divided by the total number of radiation particles or photons emitted from the source in all directions.
		As a result, the actual counts measured by the system is a fraction of the radiation emitted in the direction of the detector.
	www.nucsafe.com /Technology/gross_counting_and_detectors.htm (1727 words)

	PlanetMath: Haar measure
		A bi-invariant Haar measure is a Haar measure that is both left invariant and right invariant.
		The Haar measure plays an important role in the development of Fourier analysis and representation theory on locally compact groups such as Lie groups and profinite groups.
		This is version 1 of Haar measure, born on 2002-05-28.
	planetmath.org /encyclopedia/HaarMeasure.html (152 words)

	goodcoffeeonline.com - Site units and coversion reference document - site resources
		Due to # the difficulty of accurately measuring the # temperature of melting ice at standard # pressure, the centigrade scale was replaced # in 1954 by the Celsius scale which is # defined by subtracting 273.15 from the # temperature in Kelvins.
		The formula W = n A dP # holds where W is the rate of flow (in mass/time), n is the permeability, # A is the area of the flow path, and dP is the vapor pressure difference.
		This measure was described # as being in common use in Canada in # 1934 (Websters 2nd).
	www.goodcoffeeonline.com /pages/units.pl?sid=4761770761 (6641 words)

	EPA: Federal Register: Fisheries of the Northeastern United States; Northeast Multispecies Fishery; Emergency ...
		Although the management measures implemented by this emergency action do not, by themselves, achieve the full Amendment 13 F reductions for all groundfish stocks that require F reductions for FY 2006, this action, in combination with measures adopted by the Council in FW 42, are intended to achieve the necessary Amendment 13 F objectives.
		The FW 42 measures were not adopted by the Council until after the analysis for this emergency action was completed and because other regulatory requirements necessary to implement the area-specific measures in FW 42 would delay implementation of this action beyond May 1, 2006.
		Because the measures adopted by the Council were not developed in time to meet the May 1, 2006, implementation date, emergency measures needed to be developed and analyzed prior to the Council's final vote on FW 42.
	www.epa.gov /fedrgstr/EPA-IMPACT/2006/April/Day-13/i3504.htm (17665 words)

	Popcorn (Site not responding. Last check: 2007-10-30)
		Let the children measure the popped corn with the non-standard measure (it is good to have extra batches of popcorn so that all children can be involved in measuring.
		In this investigation the children revisit the results from the previous investigation, the idea of measuring the popcorn using a litre measure is explored.
		Let the children measure the volume of the container which the popcorn fitted into using the litre measure (water, rice, wheat or sand could be used for this task, it doesn’t have to be popcorn)
	www.nzmaths.co.nz /measurement/volume/popcorn.htm (1308 words)

	Tomás Howie Drumming Web - Reading Music
		In every case the exercise is followed by a written counting of the measure(s), where the bold numbers are the played notes, and the regular numbers are not played.
		Note also that since we always have to come out with an equal amount of notes per measure, the fourth note in the first measure is a sixteenth note: we used up three of the sixteenth notes in this beat with the dotted eighth note, so the fourth sixteenth note stands alone.
		A tie between the last eighth note in the first measure are the first quarter note of the second measure.
	www.drummingweb.com /reading.htm (1837 words)

	Math 521: Topics in Real Analysis, Fall 2001
		Here the k dimensional Hausdorff (outer) measure may be defined for any subset A of a metric space and any nonnegative real number k by using sums of the kth powers of diameters of efficient countable covers of A by small sets.
		is counting measure and M is 0 rectifiable iff it is countable.
		measurable orientations of the approximate tangent spaces gives rectifiable currents and these become compact when there are bounds on mass and boundary mass.
	math.rice.edu /~hardt/521F04/index.html (643 words)

	Lab 1
		Measure the background count rate to a certainty of at least 3%.
		Measure the counting rate as a function of distance at 3 points and correct for background.
		Many measurements sample the distribution and can be used the measure the standard deviation (rather than assume it is the square root) and the mean.
	www.med.harvard.edu /JPNM/physics/didactics/physics/lab1_96.html (641 words)

	SCALES AND CHORDS FOR THE UPRIGHT BASS (Site not responding. Last check: 2007-10-30)
		Observe that measure 4 is split in half--two beats on the 5-chord, two beats on the 1-chord.
		After the counting becomes effortless play a C-chord, alternating between the root and fifth on the first beat of each measure.
		This method of counting and playing a single chord must become a no-brainer before you advance to the next phase.
	www.rockabillybass.com /lessons/SCALESnCHORDS.htm (2789 words)

	Dino Cylinders (Site not responding. Last check: 2007-10-30)
		This unit gives many opportunities for students to develop their counting strategies as they count and compare the capacity of the containers as measured by dinosaurs.
		This unit is also designed to allow students to practice their one-to-one counting as they calculate the capacity of containers filled with plastic dinosaurs.
		As the students work check their one-to-one counting and the numbers that they are writing onto the recording sheet.
	www.nzmaths.co.nz /Measurement/Volume/dinocylinders.aspx (1074 words)

	Technical white paper on particle counting to measure cleanliness (Site not responding. Last check: 2007-10-30)
		When weight of the contaminant is measured, the Millipore test can offer no indication of whether that weight is made up of 1 particle, 10 particles or 10,000 particles.
		Sizing and counting particles with an optical particle counter gives the manufacturer a true reading of what is being washed off, what is still left on the parts after the wash process and what will be acceptable enough to the process.
		This method is becoming the method of choice for aerospace and the automotive industry due to the speed, simplicity and the repeatability of a typical particle counter.
	www.midbrook.com /techlit_wp_particle_counting.htm (1113 words)

	NWCForum - Q: repear bar inside a measure?
		Is it possible to put a repeat bar inside a measure and not messes up the measure counting.
		Any bar line with notes to the left is considered a valid measure, and as such, will increment the measure count.
		Putting a repeat in the middle of a measure is never a good thing (even if engravers do so to save pages), for when you're reading music you prefer to concentrate on the music itself, not the syntax...
	www.noteworthysoftware.com /nwcforum/653.htm (1171 words)

	Measuring Fractal Dimension (Site not responding. Last check: 2007-10-30)
		In actuality, it is impossible to precisely measure the length of the coastline.
		It is important to note that not all types of dimension measurement will give the same answer to a single problem.
		The box-counting dimension measure is equal to the slope of that line.
	www.cs.wisc.edu /~ergreen/honors_thesis/dimension.html (522 words)

	Counting lines of code can help measure progress
		After all, I wouldn’t measure a development team’s performance solely on the fact that they meet the deadline when the code could have an exorbitant amount of bugs.
		If managers count the lines of code in a project on a weekly basis, they will have a good idea of how things are going.
		I soon realized that counting the lines of code I had produced on a weekly basis would quickly give an indication that work was taking place.
	builder.com.com /5100-6375_14-1045241.html (667 words)

	[No title]
		A scaler counts the current pulses, and one obtains a "count" whenever radiation ionizes the gas.
		Since the detector is "not operating" while it is being reset, the measured activity is not the true activity of the sample.
		n = the measured counting rate, n = C/ tr N = the true counting rate, N = C/ tl Note that the ratio n/N is equal to: EMBED Equation.3 This means that the fraction of the counts that we record is the ratio of the “live time” to the “real time”.
	www.csupomona.edu /~pbsiegel/www/bio431/Chapter4.doc (1901 words)

	Togo Democratic Transition
		President Eyadéma seems poised to stay in power, largely because he equates himself with the country he is pretending to represent, to the extent that he does not even trust his government ministers.
		Many of them were influential opposition leaders, taken onboard by Eyadéma in an effort to co-opt his most threatening enemies whilst serving as a measure to split and weaken the rest of the opposition.
		Counting dead bodies or prisoners of conscience will only serve as an indicator of the sufferings of the people.
	www.cdd.org.uk /resources/workingpapers/togo_election.htm (7366 words)

	Measure Numbers Counting
		One group originally counted to FIVE, starting with the thumb (or little finger) and using all the fingers of the hand, whereas the other group initially counted only to THREE, starting with the index finger and not using the thumb).
		Horses in Great Britain, for example, are still measured by four-finger hands, so and so many hands high to the shoulders.
		The dozen counters did not use the thumb in counting but started out with the index FINGER which is at the ancient root of human counting for the concept "one".
	www.lexiline.com /lexiline/lexi10.htm (617 words)

	VIRTUAL DJ SOFTWARE - MP3 Mixing Software - Virtual DJ forum and user community
		What do you mean count the BPM, all you need to do is play a song with the same BPM and with a little DJ"ing skills match the beats.
		So if you count by the beat, 1 and 2 and 3 and 4 and 1 and 2 and 3 and 4.....
		Some stuff, like breakbeat, is not handled too well by Atomix (sorry guys, but true), so by playing your breakbeat track at it's normal speed, and adjusting the 130 bpm to match it perfectly, you can enter this figure in the bpm and it will mix very nicely without giving atomix a big headache.....
	www.virtualdj.com /forums/34127/Mix_lessons/Counting_BMP.html (469 words)

	PlanetMath: counting measure
		support of integrable function with respect to counting measure is countable
		This is version 3 of counting measure, born on 2002-02-18, modified 2006-01-31.
		(Measure and integration :: Classical measure theory :: Contents, measures, outer measures, capacities)
	planetmath.org /encyclopedia/CountingMeasure.html (53 words)

	Cherub Clip-On Intelligent Metronome, beeper size (WSM-100) - Blue (Site not responding. Last check: 2007-10-30)
		For example, if there are 2 beats in a measure, the first beat will be strong while the second will be weak.
		Additionally, it also simulates a strong beat with a bigger motion, a medium beat with a lesser motion, and a weak beat with the least amount of motion.
		And it has a display that shows which beat you are at in a measure.
	store.musicbasics.com /met-wsm-100-blue.html (1023 words)

	Untitled Document
		After explaining the cons of note ocunting and beat counting it becomes evident that he prefers measure counting.
		I do as well, both because this was the way I was taught and also because I think it is important to distinguish the different beats in a measure not only to not get lost but also because different beats in a measure should often be treated differently.
		I found it interesting the Kahut advocates the Beat Response Method even though it doesn't use measure counting and Kahut says earlier in his article that we should teach the same methods so as not to confuse the students.
	www.bsu.edu /web/dmfreund/portfolio/artifact1.html (541 words)

	PHPDeveloper.org: MySQL 4.02 Released (dev) , and Counting Code
		Basically, it's one developer's idea that has changed over time about counting the lines of code that someone produces as a measure of their productivity.
		At first, her believed that it was a bad thing to just count the lines since quantity != quality, but over time, his opinion changed.
		He doesn't suggest that you need to count lines to determine productivity, but counting lines can be used to determine if something is being done.
	www.phpdeveloper.org /news/833 (792 words)

	[No title] (Site not responding. Last check: 2007-10-30)
		Coulter counter count a bacterium's presence as the cell passes through a gate changing resistance across the gate.
		Disadvantages of total cell counting techniques: counts living and dead cell, precision at low densities too hard to achieve.
		D.Acidity is a measure of hydrogen ion concentration
	carroll1.cc.edu /~jclausz/microbiology/growth.html (930 words)

	Mandarin Chinese Measure Words
		In Chinese, though, these measure or "counting" words must be used every time objects are being counted, whether just one pencil or 1.5 billion people.
		Each measure word comes between the number of objects and the name of the object.
		The counting words and their pinyin translations are colored red to help you pick them out.
	www.chinese-outpost.com /language/grammar/mandarin-measure-words.asp (313 words)

	Statistics: NCSU Department Courses - ST778 (Site not responding. Last check: 2007-10-30)
		Lebesgue measure, Counting measure, Probability measure, Signed measure, Extensions of measures from fields to sigma-fields, Outer measure.
		Fubini's theorem, Construction of probability measures in general function space, Kakutani theorem, Conditional expectation and basic properties, Conditional probability.
		Sequence of random variables, Almost everywhere convergence, almost uniformly convergence, Lp in measure, Relationships among the various notions of convergence, Strong law of large numbers, Central limit theorem.
	www.stat.ncsu.edu /courses/st778 (185 words)

	Cherub Digital Classic Metronome/Tuner (WMT-220) - Agate
		If the voice rhythm is set to 2 1/8 notes, the metronome will voice "One And, Two And, Three And, One And, Two And, Three And...".
		This creates a tremendous help for students who are learning rhythm and counting.
		This metronome allows you to set the number of bars (measures) you would like the metronome to beat: from 2 to 200 bars.
	www.musicbasic.com /t-wmt-220-agate.html (1334 words)

	gender Information Center - blue gender
		However, Meinhof's numbering system counts singular and plural numbers of the same noun as belonging to separate classes (see Sesotho language for examples).
		This is inconsistent with the way other languages are traditionally considered, where number is orthogonal to gender (a Meinhof-style analysis would give Ancient Greek 9 genders!).
		If one follows broader linguistic tradition and counts singular and plural as belonging to the same class, then Swahili has 8 or 9 noun classes and Sesotho has 11.
	www.scipeeps.com /Sci-Linguistic_Topics_Cr_-_G/gender.html (2446 words)

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