Scale (ratio), Ratio Scale
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Scale (ratio), Ratio Scale
Scale or scales may refer to: Mathematics * Scale (descriptive set theory), an object defined on a set of points * Scale (ratio), the ratio of a linear dimension of a model to the corresponding dimension of the original * Scale factor, a number which scales, or multiplies, some quantity * Long and short scales, how powers of ten are named and grouped in large numbers * Scale parameter, a description of the spread or dispersion of a probability distribution * Feature scaling, a method used to normalize the range of independent variables or features of data * Scale (analytical tool) Measurements * Scale (map), the ratio of the distance on a map to the corresponding actual distance * Scale (geography) * Weighing scale, an instrument used to measure mass * Scale (ratio), the ratio of the linear dimension of the model to the same dimension of the original * Spatial scale, a classification of sizes * Scale ruler, a tool for measuring lengths and transferring measurements at a fixed rat ...
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Scale (descriptive Set Theory)
In the mathematical discipline of descriptive set theory, a scale is a certain kind of object defined on a set of points in some Polish space (for example, a scale might be defined on a set of real numbers). Scales were originally isolated as a concept in the theory of uniformization, but have found wide applicability in descriptive set theory, with applications such as establishing bounds on the possible lengths of wellorderings of a given complexity, and showing (under certain assumptions) that there are largest countable sets of certain complexities. Formal definition Given a pointset ''A'' contained in some product space :A\subseteq X=X_0\times X_1\times\ldots X_ where each ''Xk'' is either the Baire space or a countably infinite discrete set, we say that a ''norm'' on ''A'' is a map from ''A'' into the ordinal numbers. Each norm has an associated prewellordering, where one element of ''A'' precedes another element if the norm of the first is less than the norm of the second. ...
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Scale (film)
''Scale'' is a 2022 French animated short film directed by Joseph Pierce. The film debuted at the 2022 Critics Week at Cannes Film Festival and was produced by Melocoton Films (France), in co-production with Bridge Way Films (UK), Endorfilm (Czech Republic) and Ozù Productions (Belgium). ''Scale'' has received several nominations and awards, including a nomination for Best British Short Film at the 2022 British Independent Film Awards and winning the Golden Zagreb Award at the 2023 Zagreb World Festival of Animated Films. In August 2022, the film won the Oscar-qualifying award for Best Animation at HollyShorts Film Festival, and became eligible for the 96th Academy Awards. The film is also in the official selection for the 2024 César Awards. Background The film is an adaptation of the homonymous novella written by Will Self as part of the short story collection ''Grey Area'' (1994). Pierce, who read the story as a teenager, felt compelled to adapt the story into an ambitious ...
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Scale (chemistry)
The scale of a chemical process refers to the rough ranges in mass or volume of a chemical reaction or process that define the appropriate category of chemical apparatus and equipment required to accomplish it, and the concepts, priorities, and economies that operate at each. While the specific terms used—and limits of mass or volume that apply to them—can vary between specific industries, the concepts are used broadly across industry and the fundamental scientific fields that support them. Use of the term "scale" is unrelated to the concept of weighing; rather it is related to cognate terms in mathematics (e.g., geometric scaling, the linear transformation that enlarges or shrinks objects, and scale parameters in probability theory), and in applied areas (e.g., in the scaling of images in architecture, engineering, cartography, etc.). Practically speaking, the scale of chemical operations also relates to the training required to carry them out, and can be broken out roughly ...
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Mill Scale
Mill scale, often shortened to just scale, is the flaky surface of hot rolled steel, consisting of the mixed iron oxides iron(II) oxide (FeO), iron(III) oxide (), and iron(II,III) oxide (, magnetite). Mill scale is formed on the outer surfaces of plates, sheets or profiles when they are being produced by rolling red hot iron or steel billets in rolling mills. Mill scale is bluish-black in color. It is usually less than thick, and initially adheres to the steel surface and protects it from atmospheric corrosion provided no break occurs in this coating. Because it is electrochemically cathodic to steel, any break in the mill scale coating will cause accelerated corrosion of steel exposed at the break. Mill scale is thus a boon for a while until its coating breaks due to handling of the steel product or due to any other mechanical cause. Mill scale becomes a nuisance when the steel is to be processed. Any paint applied over it is wasted, since it will come off with the scal ...
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Limescale
Limescale is a hard, chalky deposit, consisting mainly of calcium carbonate (CaCO3). It often builds up inside kettles, boilers, and pipework, especially that for hot water. It is also often found as a similar deposit on the inner surfaces of old pipes and other surfaces where "hard water" has flown. Limescale also forms as travertine or tufa in hard water springs. The colour varies from off-white through a range of greys and pink or reddish browns, depending on the other minerals present. Iron compounds give the reddish-browns. In addition to being unsightly and hard to clean, limescale can seriously damage or impair the operation of various plumbing and heating components.Hermann Weingärtner, "Water" in ''Ullmann's Encyclopedia of Industrial Chemistry'', December 2006, Wiley–VCH, Weinheim. Descaling agents are commonly used to remove limescale. Prevention of fouling by scale build-up relies on the technologies of water softening or other water treatment. Chemical comp ...
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Fouling
Fouling is the accumulation of unwanted material on solid surfaces. The fouling materials can consist of either living organisms ( biofouling) or a non-living substance (inorganic or organic). Fouling is usually distinguished from other surface-growth phenomena in that it occurs on a surface of a component, system, or plant performing a defined and useful function and that the fouling process impedes or interferes with this function. Other terms used in the literature to describe fouling include deposit formation, encrustation, crudding, deposition, scaling, scale formation, slagging, and sludge formation. The last six terms have a more narrow meaning than fouling within the scope of the fouling science and technology, and they also have meanings outside of this scope; therefore, they should be used with caution. Fouling phenomena are common and diverse, ranging from fouling of ship hulls, natural surfaces in the marine environment ( marine fouling), fouling of heat-transf ...
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