Measure can mean: To perform a measurement. In mathematics, a measure is a way to assign non-negative real numbers to subsets of a given set, in order to "measure their sizes or probabilities". See measure (mathematics) for a treatment of the concept. In music, a measure is a unit of time in Western music usually equalling the metric unit length. It represents a regular grouping of beats, a meter, as indicated in musical notation by the time signature. Measures are also called bars,

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Measure for Measure, Measure for Measure - Synopsis, Measure for Measure - Themes, Measure for Measure - Sources

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If (X,Σ) and (Y,Τ) are Borel spaces, a measurable function f is also called a Borel function. Continuous functions are Borel but not all Borel functions are continuous. Random variables are by definition measurable functions defined on sample spaces. In the category of measurable spaces, the measurable functions are the morphisms. If X=Y and Σ=Τ, a measurable function f is called an endomorphism or a measure-preserving or stationary transformation of the measure space (X,Σ,μ) if and only if the measure μ is i ...

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Measurable function, Measurable function - Special Measurable Functions, Measurable function - Properties of Measurable Functions

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See:- Units of measurement for relevence to weights and measures. Unit of account for relevance in economics. Other related archivesUnit of account, Units of measurement, economics, weights and measures

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Because measurement involves the estimation of magnitudes of quantities relative to particular quantities, called units, the specification of units is of fundamental importance to measurement. The definition or specification of precise standards of measurement involves two key features, which are evident in the Système International d'Unités (SI). Specifically, in this system the definition of each of the base units makes reference to specific empirical conditions and, with the exception of the kilogram, also to other quantitative a ...

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Measurement, Measurement - Units and systems of measurement, Measurement - Metrology, Measurement - History, Measurement - Difficulties in measurement, Measurement - Miscellaneous

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Measurement of many quantities is very difficult and prone to large error. Part of the difficulty is due to uncertainty, and part of it is due to the limited time available in which to make the measurement. Examples of things that are very difficult to measure in some respects and for some purposes include social related items such as: A person's knowledge (as in testing, see also assessment) A person's feelings, emot ...

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Measurement, Measurement - Units and systems of measurement, Measurement - Metrology, Measurement - History, Measurement - Difficulties in measurement, Measurement - Miscellaneous

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In measure theory, a complete measure is a measure in which every subset of every null set is measurable (having measure 0). Every measure has an extension that is complete. The smallest such extension is called the completion of the measure. Suppose μ is a measure on some set X, with σ-algebra F. The completion of μ can be constructed as follows. Let N be the set of all subsets of null sets of μ, and let G be the σ-algebra generated by F and N. There is only one way ...

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The sum of two finite-valued signed measures is a signed measure, as is the product of a finite-valued signed measure by a real number. It follows that the set of finite-valued signed measures on a measure space (X, Σ) is a real vector space. Furthermore, the total variation defines a norm in respect to which the space of measures becomes a Banach space. It turns out that this rather abstract space of signed measures is so ...

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Signed measure, Signed measure - Definition, Signed measure - Examples, Signed measure - Properties, Signed measure - The space of signed measures

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A conical measure is a type of laboratory glassware which consists of a conical cup with a notch on the top to allow for the easy pouring of liquids. They always have graduated markings on the side to allow easy and accurate measurement of volumes of liquid. They may be made of plastic, glass, or borosilicate glass. The use of the conical measure usually dictates its construction material. Plastic conical measures, commonly referred to as measuring cups are used by patients to measure liquid medicaments for oral administration. Glass and borosilicate conical measures are used in ext ...

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Metric systems of units have evolved since the adoption of the first well-defined system in France in 1791. During this evolution the use of these systems spread throughout the world, first to the non-English-speaking countries, and more recently to the English speaking countries. Multiples and submultiples of metric units are related by powers of ten; the names for these are formed with prefixes. Thi ...

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Systems of measurement - The metric system Systems of measurement - Imperial and US customary units Systems of measurement - Natural units Systems of measurement - Atomic units Systems of measurement - Non-standard units Systems of measurement - Units of currency Systems of measurement - Historical Mediterranean and European systems of measurement
Systems of measurement - Ancient systems of measurement Systems of measurement - Mediæval measurements
Systems of measurement - The Chinese system Systems of measurement - Other historical systems of measurement

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Techniques - Utensils Weights and measures Spices and Herbs Sauces - Soups - Desserts Cheese - Pasta - Bread Other ingredients Africa - Asia - Caribbean South Asian - Latin America Middle East - The West Other cuisines... Famous chefs Kitchens - Meals Wikibooks: Cookbook Cooking weights and measures - United States measures. Note that the measurements in this section are in U.S. customary units. Me ...

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Cooking weights and measures - United States measures Cooking weights and measures - British Imperial measures Cooking weights and measures - Metric measures Cooking weights and measures - Special instructions Cooking weights and measures - External link

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The definition, agreement and practical use of units of measurement have played a crucial role in human endeavour from early ages up to this day. Disparate systems of measurement used to be very common. Now there is a global standard, the International System (SI) of units, a form of metric system. The SI has been or is in the process of being adopted throughout the world. The United States of America is almost certainly the last to adopt the system but even there it is increasingly being used. Standards are very important. Eac ...

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Units of measurement - Introduction Units of measurement - History Units of measurement - Systems of measurement Units of measurement - Base and derived units Units of measurement - Calculations with units
Units of measurement - Units as dimensions Units of measurement - Guidelines Units of measurement - Expressing a physical value in terms of another unit

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Shakkan-hō (尺貫法, Shakkan-hō?) is the traditional Japanese system of measurement. The name shakkanhō originates from the name of two of the units, the shak ...

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Japanese units of measurement - Length Japanese units of measurement - Area Japanese units of measurement - Volume Japanese units of measurement - Mass Japanese units of measurement - Money Japanese units of measurement - Other Japanese units

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Weights and measures is a term used by legal authorities in English speaking countries such as the United Kingdom for a function related to units of measurement in trade. Metrology is the science for developing national and internationally accepted units of weights and measures. The Bureau international des poids et mesures (BIPM) is tasked with ensuring worldwide uniformity of measurements and th ...

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Old Indian measures are still in use today, primarily for religious purposes in Hinduism and Jainism. They also are employed in the teachings of Surat Shabda Yoga. Hindu units of measurement - Time. The Hindu metrics of time (Kaala Vyavahara) can be summarized as below. Hindu units of measurement - Sidereal metrics. a paramanu is the normal interval of blinking in humans, or approximately 4 seconds a vighati is 6 paramaanus, or approxim ...

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Hindu units of measurement - Time
Hindu units of measurement - Sidereal metrics Hindu units of measurement - Lunar metrics Hindu units of measurement - Tropical metrics Hindu units of measurement - Yugas

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The Chinese units (Chinese: 市制; Pinyin: Shìzhì; literally "market system") are the customary and traditional units of measure used in China. The units were standardized during the twentieth century to make them convert roundly to SI units. Many of the units were formerly 16 based. Hong Kong was outside of the reform, and in present ...

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Chinese units of measurement - Length
Chinese units of measurement - Hong Kong units
Chinese units of measurement - Area Chinese units of measurement - Volume Chinese units of measurement - Mass
Chinese units of measurement - Hong Kong units Chinese units of measurement - Hong Kong Troy units
Chinese units of measurement - Time Chinese units of measurement - Reference

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A measure space (X,Σ,μ) is called finite if μ(X) is a finite real number (rather than ∞). It is called σ-finite if X is the countable union of measurable sets of finite measure. A set in a measure space has σ-finite measure if it is a union of sets with finite measure. For example, the real numbers with the standard Lebesgue measure are σ-finite but not finite. Consider the closed intervals [k,k+1] for all integers k; there are countably many such int ...

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Measure mathematics, Measure mathematics - Formal definitions, Measure mathematics - Sigma-finite measures, Measure mathematics - Completeness, Measure mathematics - Examples, Measure mathematics - Counterexamples, Measure mathematics - Generalizations

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A coal measure (stratigraphic unit) is the name given to any rock sequence that occurs in the upper part of the Carboniferous System in Europe. It is equivalent to the Pennsylvanian of North America. These rocks are typically coal-bearing. The term coal measure is also used to describe a succession of sedimentary rocks comprising of claystones, shales, siltstones, sandstones, conglomerates, and limestones that are interstratified with beds of coal. Such succession occur worldwide and may not necessarily be Carboniferous in age (such as the Permian coal measures of Australia and the late Cretaceous and ...

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Coal measure - References and further reading

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The Greek system of weights and measures was built mainly upon the Egyptian, and formed the basis of the later Roman system. Other related archivesEgyptian, Greek, Roman system, weights and measures

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Ancient Egyptian standards of measure evolved over a period of several thousand years as a combination of two systems. The oldest Egyptian body measures date to the late Pre-Dynastic where the glyph for cubit measure is included in several palettes. The oldest glyphs related to agricultural measure show up on the palette of the Scorpion king which shows the firlds being dividfed up by irrigation ditches. One system was essentially decimal and used by surveyors to reestablish the metes and bounds of fields after the innundation or 3ht ...

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Ancient Egyptian units of measurement - the ro or portion
Ancient Egyptian units of measurement - Special Unit Measures Ancient Egyptian units of measurement - The Remen Ancient Egyptian units of measurement - The h3yt or rod Ancient Egyptian units of measurement - The Itrw and Atur Ancient Egyptian units of measurement - Area Ancient Egyptian units of measurement - Volume Ancient Egyptian units of measurement - Weight Ancient Egyptian units of measurement - Time Ancient Egyptian units of measurement - Calculation of slope by unit rise and run

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