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Page "Measure (mathematics)" ¶ 1
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For and instance
`` For instance, regarding the fact that the Gross Committee issued two interim announcements to the press during its investigation.
For instance, college-educated people consistently show up in study after study as more often than others supporters of the Bill of Rights and other democratic rights and liberties.
For instance, so-called `` conservative '' organizations, some of them secret, are sprouting in the garden of joining where `` liberal '' organizations once took root.
For instance -- what about all those people Harold Rhodes went toward unhesitatingly, as if this were the one moment they would ever have together, their one chance of knowing each other??
For instance, a site adjoining other publicly owned lands, such as a national forest or a public road, may be desirable, whereas a site next to an industrial plant might not.
( For instance, see Example 2 of Section 5-5, on red cards in hands of 5.
For instance, the following statement was rated low in compulsivity, `` She's naturally quite neat about things, but it doesn't bother her at all if her room gets messy.
For instance, in giving school grades or in making recommendations for the award of a college scholarship, does he consciously or unconsciously favor students of one or another social class??
For instance, there have been two Presidential Commissions on higher education since World War 2.
For instance, the dreamer sees himself seated behind neighbor Smith and, with photographic realism, sees Smith driving the car ; ;
For instance:
`` For instance, Djakarta, Indonesia, has three groups of dancers interested in coming here.
For instance, the Edwin Pauleys Jr., formerly of Chantilly Rd., are now at home on North Arden Dr. in Beverly Hills.
For instance, we cannot know whether even for church members the degree of conformity to Christian standards of morality increased or declined as the proportion of church members in the population rose.
`` For instance, Hesperus agreed to help me find my property, and I agreed to take him to Earth.
For instance, a C-Leg knee alone is not a prosthesis, but only a prosthetic part.
For instance, the word " bank " has several distinct lexical definitions, including " financial institution " and " edge of a river ".
For instance, a local society in the middle of a large city may have regular meetings with speakers, focusing less on observing the night sky if the membership is less able to observe due to factors such as light pollution.
For instance, according to Classical Arabic and Modern Standard Arabic, the Arabic root ( to sacrifice ) can be derived the forms ( he sacrificed ), ( you ( masculine singular ) sacrificed ), ( he slaughtered ), ( he slaughters ), and ( slaughterhouse ).
For instance, we read of Whiting, the last abbot of Glastonbury, judicially murdered by Henry VIII, that his house was a kind of well-ordered court, where as many as 300 sons of noblemen and gentlemen, who had been sent to him for virtuous education, had been brought up, besides others of a lesser rank, whom he fitted for the universities.
For instance, the n
For instance, in 51, Agrippina ordered the execution of Britannicus ’ tutor Sosibius because he had confronted her and was outraged by Claudius ’ adoption of Nero and his choice of Nero as successor, instead of choosing his own son Britannicus.
For instance, antibacterial resistance genes can be exchanged between different bacterial strains or species via plasmids that carry these resistance genes.
For instance, iron changes from a body-centered cubic structure ( ferrite ) to a face-centered cubic structure ( austenite ) above 906 ° C, and tin undergoes a transformation known as tin pest from a metallic phase to a semiconductor phase below 13. 2 ° C.
For instance member nations of the Commonwealth where English is not spoken natively, such as India, often closely follow British English forms, while many American English usages are followed in other countries which have been historically influenced by the United States, such as the Philippines.

For and Lebesgue
For example, the real numbers with the standard Lebesgue measure are σ-finite but not finite.
For example, if X is the unit interval, not only is it possible to have a dense set of Lebesgue measure zero ( such as the set of rationals ), but it is also possible to have a nowhere dense set with positive measure.
For functions on the real line, the Henstock integral is an even more general notion of integral ( based on Riemann's theory rather than Lebesgue's ) that subsumes both Lebesgue integration and improper Riemann integration.
For Lebesgue measurable functions, the theorem can be stated in the following form:
It may happen that a continuous function f is differentiable almost everywhere on, its derivative f ′ is Lebesgue integrable, and nevertheless the integral of f ′ differs from the increment of f. For example, this happens for the Cantor function, which means that this function is not absolutely continuous.
* For the Henstock – Kurzweil integral, improper integration is not necessary, and this is seen as a strength of the theory: it encompasses all Lebesgue integrable and improper Riemann integrable functions.
For example, the set of irrational numbers is a conull subset of the real line with Lebesgue measure.
For instance, the Choquet integral with respect to an additive fuzzy measure reduces to the Lebesgue integral.
For many authors, the Riesz – Fischer theorem refers to the fact that the L < sup > p </ sup > spaces from Lebesgue integration theory are complete.
: For other uses, see: Lebesgue constant ( disambiguation ).
For example, Lebesgue measure on the reals is not a probability measure, yet every universally measurable set is Lebesgue measurable.

For and measure
For a rigid body rotating around an axis of symmetry ( e. g. the blades of a ceiling fan ), the angular momentum can be expressed as the product of the body's moment of inertia, I, ( i. e. a measure of an object's resistance to changes in its rotation rate ) and its angular velocity ω:
For m ≥ 4, however, it grows much more quickly ; even A ( 4, 2 ) is about 2, and the decimal expansion of A ( 4, 3 ) is very large by any typical measure.
* The Ham sandwich theorem: For any compact sets A < sub > 1 </ sub >,..., A < sub > n </ sub > in ℝ < sup > n </ sup > we can always find a hyperplane dividing each of them into two subsets of equal measure.
For example, it does a lot of string copying in an attempt to measure string copying performance.
For example, flight instruments measure variables such as wind speed and altitude to enable pilots the control of aircraft analytically.
For example, alpha, the widely used measure of test reliability was developed by educational psychologist Lee Cronbach.
For example, when you measure the height of a mountain you really measure the ratio of its height to the length of a meter stick.
For example, the traditional measure of a coating's effectiveness is resistance to a salt spray.
For internal combustion engines in the form of jet engines, the power output varies drastically with airspeed and a less variable measure is used: thrust specific fuel consumption ( TSFC ), which is the number of pounds of propellant needed to generate impulses that measure a pound force-hour.
For this measure, higher kurtosis means more of the variance is the result of infrequent extreme deviations, as opposed to frequent modestly sized deviations.
For shelter, the Komodo dragon digs holes that can measure from 1 – 3 metres ( 3 – 10 ft ) wide with its powerful forelimbs and claws.
An alternative representation uses degrees and minutes, where parts of a minute are expressed in decimal notation with a fraction, thus: 23 ° 27. 500 ′ E. Degrees may also be expressed as a decimal fraction: 23. 45833 ° E. For calculations, the angular measure may be converted to radians, so longitude may also be expressed in this manner as a signed fraction of π ( pi ), or an unsigned fraction of.
For example, a survey of high school students to measure teenage use of illegal drugs will be a biased sample because it does not include home-schooled students or dropouts.
For n = 1, 2, or 3, it coincides with the standard measure of length, area, or volume.
For example, in Waltz or Foxtrot a good suggestion would be to end a measure in the open Promenade position, there would be no doubt as to the direction of the movement and which foot to use at the beginning of the next measure.
For disease-causing organisms, there is also a measure known as the median infective dose and dosage.
Thymectomy is a surgical method to treat MG. For emergency treatment, plasmapheresis or IVIG can be used as a temporary measure to remove antibodies from the blood circulation.
For measure spaces that are also topological spaces various compatibility conditions can be placed for the measure and the topology.
For more details see Radon measure.

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