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Charting Techniques for Dynamic Processes: Literature Review and Extensions
Statistical Process Control SPC Dynamic Process Multivariate Process
2015/3/18
In modern manufacturing environments,
both multivariate and dynamic natures have become
increasingly important. Many multivariate and dynamic processes, such as processes with feedback
control and ...
Constructing Ultrapowers from Elementary Extensions of Full Clones
Ultrapower Full Clone Elementary Extensions
2012/7/11
Let $A$ be an infinite set. Let $\Omega(A)$ be the algebra over $A$ where every constant is a fundamental constant and every finitary function is a fundamental operation. We shall give a method of rep...
Determination of the number of isomorphism classes of extensions of a $\kp$-adic field
extensions $\kp$-adic field
2010/11/8
We deduce a formula enumerating the isomorphism classes of extensions of a $\kp$-adic field $K$ with given ramification $e$ and inertia $f$. The formula follows from a simple group-theoretic lemma, pl...
We consider extensions of the Rattray theorem and two Makeev's theorems, showing that they hold true for several maps, measures, or functions simultaneously, if we consider orthonormal $k$-frames in $...
Arithmetic-arboreal residue structures induced by Prufer extensions : An axiomatic approach
Arithmetic-arboreal Prufer extensions An axiomatic approach
2010/11/9
We present an axiomatic framework for the residue structures induced by Prufer extensions with a stress upon the intimate connection between their arithmetic and arboreal theoretic properties. The ma...
Versal Deformations and Versality in Central Extensions of Jacobi's Schemes
Versal Deformations Versality in Central Extensions of Jacobi's Schemes
2010/11/29
Let Lm be the scheme of the laws defined by the Jacobi’s iden-tities on Km with K a field. A deformation of g ∈ Lm, parametrized by a local K-algebra A, is a local K-algebra morphism from the local ri...
Hilbert space compression under direct limits and certain group extensions
Hilbert space compression direct limits certain group extensions
2010/12/3
We find bounds on the Hilbert space compression of the limit of a directed metric system of groups. We also give estimates on the Hilbert space compression of group extensions of a group H by a a word...
Let R be a commutative ring with a unit and M an R-module. In this paper we give a comparison between the F-closure in M of an R-submodule having a minimal extension and the closure of this minimal ex...