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On Certainty in Mathematics
The question of the status of Euclidean geometry among the sciences was the subject of an intensive debate in the 16th century, the age of the...
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Composition Algebras of Arbitrary Degrees
In this paper, a generalization of composition algebras is given, in which the quadratic form is replaced by a form of arbitrary degree. Two series...
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Cohomology of Leibniz Algebras
This is a survey on new developments in the cohomology of Leibniz algebras for the Deutsche Mathematiker Vereinigung. We will mainly report on...
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Category of Some Subalgebras of the Toeplitz Algebra
We perform the structural analysis of C * -subalgebras of the Toeplitz algebra that are generated by inverse subsemigroups of a bicyclic semigroup. We...
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A Construction of Spherical 3-Designs
We present a construction for spherical 3-designs. This construction is a generalization of Bondarenko’s results.
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Not Only … But Also: Urban Mathematical Models and Urban Social Theory
The chapter makes an argument that mathematical urban models should be joined with urban social theory. The two were separated historically was not...
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Explainer: Compactness, by the numbers
A few years of hands-on work analyzing redistricting has left me convinced that “compactness” is over-emphasized as a cure for gerrymandering. But on...
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Correction to: An algebraic model for rational naïve-commutative ring SO(2)-spectra and equivariant elliptic cohomology
In the original publication, the text “-spectra” was missed out.
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Further bounds for the spread of a matrix
The spread of a matrix is defined as the maximum absolute value of the difference between any two eigenvalues of that matrix. In this work, we give a...
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Examples of Big Data
BIG DATA comes in many flavors and dimensions. It may take the form of medical data on a patient where several characteristics are measured, or it...
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Partizipation an gemeinsamen mathematischen Lernsituationen
In diesem dritten Zugang der vorliegenden Arbeit wird der inklusive Mathematikunterricht im Sinne des gemeinsamen Lernens als sozial-interaktives...
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On a algebraic characterization of the generalized Fredholm operators
We will give an algebraic characterization of generalized Fredholm operators in terms of projections by means of Schmoeger (Demonstr Math...
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Cohomology and Crossed Module Extensions of Hom-Leibniz–Rinehart Algebras
In this paper, we introduce the concept of crossed module for Hom-Leibniz–Rinehart algebras. We then study the cohomology and extension theory of...
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Charles Davies as a Philosopher of Mathematics Education
Charles Davies (1798–1876), who taught at the United States Military Academy at West Point (USMA), Trinity College in Hartford, Connecticut, New York...
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Some inequalities related to eigenvalues
In this paper, we discuss inequalities involving the extreme eigenvalues and the spread of a matrix, which, in turn, can be used to obtain bounds for...