Author Archives: Kees Middelburg

About Kees Middelburg

Retired computer scientist

Subvarieties of the Variety of Meadows

This is to announce the publication of a paper concerning meadows. The paper “Subvarieties of the variety of meadows” (doi:10.7561/SACS.2017.1.1) has now been published. In this preprint, subvarieties of the variety of meadows obtained by extending the equational axiomatization of … Continue reading

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Universality of Univariate Mixed Fractions in Divisive Meadows

This is to announce a new electronic preprint concerning meadows. The paper entitled “Universality of univariate mixed fractions in divisive meadows” (arXiv:1707.00499v1 [math.RA] ) has now been archived. This preprint shows that univariate fractions, i.e. terms over the signature of … Continue reading

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Adams Conditioning and Likelihood Ratio Transfer Mediated Inference

This is to announce a new version of an electronic preprint concerning an application of meadows. The preprint “Adams Conditioning and Likelihood Ratio Transfer Mediated Inference” has been updated (arXiv:1611.09351v3 [cs.AI]). This preprint presents different ways in which information about … Continue reading

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Conditional Values in Signed Meadow Based Axiomatic Probability Calculus

This is to announce a new version of an electronic preprint concerning an application of meadows. The preprint “Conditional Values in Signed Meadow Based Axiomatic Probability Calculus” has been updated (arXiv:1609.02812v3 [math.LO]). In this preprint, an account of some basic … Continue reading

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Probability Functions in the Context of Signed Involutive Meadows

This is to announce a new version of an electronic preprint concerning an application of meadows. The preprint “Signed Meadow Valued Probability Functions” has now been replaced by a substantial revision with the new title “Probability functions in the context … Continue reading

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Fracpairs and Fractions over a Reduced Commutative Ring

This is to announce the publication of a paper concerning an application of fractions. The paper “Fracpairs and Fractions over a Reduced Commutative Ring” (doi:10.1016/j.indag.2016.01.007) has now been published. In this paper, the principle of fractions as pairs is elaborated … Continue reading

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Signed Meadow Valued Probability Functions

This is to announce a new version of an electronic preprint concerning an application of meadows. The preprint “Signed Meadow Valued Probability Functions” has now been replaced by a substantial revision (arXiv:1307.5173v2 [math.LO]). In this preprint,  Kolmogorov’s probability axioms for … Continue reading

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Transformation of Fractions into Simple Fractions in Divisive Meadows

This is to announce the publication of a paper concerning fractions. The paper “Transformation of fractions into simple fractions in divisive meadows” (doi:10.1016/j.jal.2016.03.001) has now been published. In this paper, it is investigated which divisive meadows admit transformation of fractions … Continue reading

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Related Work

This is to announce the addition of a page entitled “Related Work” to this website. On this page, references are given to work  in which the multiplicative inverse operation is totalized by imposing that the multiplicative inverse of zero is … Continue reading

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Subvarieties of the Variety of Meadows

This is to announce a new version of an electronic preprint concerning meadows. The preprint “Subvarieties of the variety of meadows” has now been updated (arXiv:1510.04021v4 [math.RA]). In this preprint, subvarieties of the variety of meadows obtained by extending the … Continue reading

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