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Gleason's Theorem Has a Constructive Proof
Journal of Philosophical Logic, 2000The paper deals with the problem of finding a constructive proof of Gleason's theorem (stating that if \(f\) is a nonnegative function on the unit sphere with the property that \(f({\mathbf x})+ f({\mathbf y})+ f({\mathbf z})\) is a fixed constant for each triple \({\mathbf x}\), \({\mathbf y}\), \({\mathbf z}\) of mutually orthogonal unit vectors ...
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Are Constructions Dialect-Proof?
2014The present chapter outlines the possible problems that may arise from applying a construction grammar approach to the study of international dialects of English. Using Singapore English as a base for comparison, it discusses construction types such as the progressive construction, the ‘false’ transitive construction, and the bare nominal construction (
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Dyadic Symmetry Construction - Proof
This work presents the 0:8 Dyadic Symmetry Kernel, a minimal, unique involutive mapping defined on the 9-element ordinal set D={0,…,8}. By imposing symmetry about the central index 4 and requiring the mapping to be closed, bijective, and involutive, we show that the reflection map f(n)=8−n is the only function satisfying all constraints.openaire +1 more source