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We construct a generalization of Demjanenko's matrix for an arbitrary imaginary abelian field and prove a relation formula between the determinant of this matrix and the relative class number. In a special case, we prove that the determ...

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The discovery of Au-Si and subsequent Pd-Si systems in glassy states had lead to the formation of a number of stable amorphous magnetic materials. A brief history of this development and its scientific and technological significance is ...

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The ghost for world-sheet reparametrization invariance is not a fundamental field in the pure spinor formalism. It is written as a combination of pure spinor variables which have conformal dimension two and such that it commutes with th...

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A tutorial digest on the use of factorial and fractional designs in experimental sciences according to the Response Surface methodology is given. The technique of multiple linear regression is applied instead of the Yates' Tiffany & Co ...

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An unexpected multi-component reaction of cyanothioacetamide with aldehyde and aminopyrazole under MWI was reported. Through this reaction, a series of pyrazolo[3,4-b]-pyridine derivatives was prepared in high yields via simple operatio...

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An interpolation scheme which assumes position values, derivatives and curvature values on the boundary of an arbitrary triangle is presented. The development of this interpolant is based upon univariate interpolation using a geometric ...

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