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Examples ofquartic
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Figure 4.7 shows the four types ofquarticbasis polynomials.
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To clarify the situation, the part of the boundary near thequarticpoint is rescaled and shown in figure 11.
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As thequarticpoint is approached c2 decreases to zero, as expected.
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The implication is that thequarticresponse tensor can be re-expressed using the cubic and lower-order response tensors.
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Remarkably the wave surface is anotherquarticsurface of the same algebraic type, but with reciprocal parameters.
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Having five measurements available, the polynomials fitted could theoretically be up toquartic, for each of the above two random effects.
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Aquarticspline was chosen as a cubic proved of insufficient accuracy for the calculation of the curvature.
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A close-up view of the c4(+r) = 1.5 contour near thequarticpoint for the three-layer 1 system (6).
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In the restricted sector s considered, more general entropy-like functions (such as aquarticone) could be proposed, but some nice features are at risk of being lost.
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Aquarticmassless scalar field theory develops a mass gap already at classical level.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Quarticintegrals of the non-functional kind are easier to solve so there is hope for the future.
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This example is from Wikipedia and may be reused under a CC BY-SA license.The integral of a cubic function is aquarticfunction.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Consequently, spiric sections are fourth-order (quartic) plane curves, whereas the conic sections are second-order (quadratic) plane curves.
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This example is from Wikipedia and may be reused under a CC BY-SA license.This potential is explored in detail in the article on thequarticinteraction.
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This example is from Wikipedia and may be reused under a CC BY-SA license.To calculate the tangential and also normal direction to the curve, aquarticspline in an arc-length-like parameter is fitted through these points.
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And as with regular bipartite graphs more generally, every bipartitequarticgraph has a perfect matching.
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This example is from Wikipedia and may be reused under a CC BY-SA license.There exist more complicated algebraic solutions for the general cubic equation andquarticequation.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Another example is ray-tracing againstquarticsurfaces such as tori.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Other types ofquarticinteractions may be found under the topic of four-fermion interactions.
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This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.