Zobrazeno 1 - 10
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pro vyhledávání: '"Vetterlein, Thomas"'
Autor:
Lindenhovius, Bert, Vetterlein, Thomas
Given a Hilbert space $H$, the set $P(H)$ of one-dimensional subspaces of $H$ becomes an orthoset when equipped with the orthogonality relation $\perp$ induced by the inner product on $H$. Here, an \emph{orthoset} is a pair $(X,\perp)$ of a set $X$ a
Externí odkaz:
http://arxiv.org/abs/2207.09148
Autor:
Vetterlein, Thomas
An orthoset (also called an orthogonality space) is a set $X$ equipped with a symmetric and irreflexive binary relation $\perp$, called the orthogonality relation. In quantum physics, orthosets play a central role. In fact, a Hilbert space gives rise
Externí odkaz:
http://arxiv.org/abs/2111.01438
The notion of an orthogonality space was recently rediscovered as an effective means to characterise the essential properties of quantum logic. The approach can be considered as minimalistic; solely the aspect of mutual exclusiveness is taken into ac
Externí odkaz:
http://arxiv.org/abs/2103.13764
Autor:
Pankov, Mark, Vetterlein, Thomas
Let $H$ be a complex Hilbert space and let ${\mathcal P}(H)$ be the associated projective space (the set of rank-one projections). Suppose that $\dim H\ge 3$. We prove the following Wigner-type theorem: if $H$ is finite-dimensional, then every orthog
Externí odkaz:
http://arxiv.org/abs/2012.02063
Autor:
Paseka, Jan, Vetterlein, Thomas
An orthogonality space is a set equipped with a symmetric and irreflexive binary relation. We consider orthogonality spaces with the additional property that any collection of mutually orthogonal elements gives rise to the structure of a Boolean alge
Externí odkaz:
http://arxiv.org/abs/2003.03313
Autor:
Vetterlein, Thomas
An orthogonality space is a set together with a symmetric and irreflexive binary relation. Any linear space equipped with a reflexive and anisotropic inner product provides an example: the set of one-dimensional subspaces together with the usual orth
Externí odkaz:
http://arxiv.org/abs/2002.09290
Autor:
Vetterlein, Thomas
The logic LAE discussed in this paper is based on an approximate entailment relation. LAE generalises classical propositional logic to the effect that conclusions can be drawn with a quantified imprecision. To this end, properties are modelled by sub
Externí odkaz:
http://arxiv.org/abs/1808.10320
Autor:
Vetterlein, Thomas, Zamansky, Anna
In medicine one frequently deals with vague information. As a tool for reasoning in this area, fuzzy logic suggests itself. In this paper we explore the applicability of the basic ideas of fuzzy set theory in the context of medical assessment questio
Externí odkaz:
http://arxiv.org/abs/1808.10330
Autor:
Vetterlein, Thomas
We present in this paper a universal method of constructing left-continuous triangular norms (l.-c. t-norms). The starting point is an arbitrary, possibly finite, totally ordered monoid fulfilling the conditions that are characteristic for l.-c. t-no
Externí odkaz:
http://arxiv.org/abs/1808.10324
Autor:
ik, Milan Petr\', Vetterlein, Thomas
A totally ordered monoid, or tomonoid for short, is a monoid endowed with a compatible total order. We deal in this paper with tomonoids that are finite and negative, where negativity means that the monoidal identity is the top element. Examples can
Externí odkaz:
http://arxiv.org/abs/1808.10317