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Joint Spectrum and Joint Distribution

Complex Analysis and Operator Theory, 2012
\(({\mathcal A}, \phi)\) is called a noncommutative \(C^\ast\)-probability space if \(\mathcal A\) is a \(C^\ast\)-algebra and \(\phi\) is a state. A state \(\phi\) is called faithful if for any positive \(a\in{\mathcal A}\), \(\phi(a)>0\). The following definition of independence is due to Voiculescu. A family of unital subalgebras \(({\mathcal A}_i)_{
Jin, Shuilin, Xu, Li, Jiang, Qinghua
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Pressure distribution in the wrist joint

Journal of Orthopaedic Research, 1988
AbstractWe performed a study to determine pressure distribution properties of the normal radio‐carpal joint. A system was developed for measurement of the contact pressure within the wrist joint surfaces. The transducer was based on Fuji pressure‐sensitive paper, which was inserted into the joint space through a dorsal capsular incision.
A F, Tencer   +7 more
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Joint Distribution of Rises and Falls

Annals of the Institute of Statistical Mathematics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fu, James C., Lou, W. Y. Wendy
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Pressure distribution at the ankle joint

Journal of Biomechanics, 1990
Biomechanical factors such as trauma or overweight are discussed in relation to the aetiology of osteochondral lesions. As a consequence of the possible influence of these factors on joint loading patterns the pressure distribution on the load-bearing ankle joint has been investigated in a cadaveric biostatic model.
J, Bruns, B, Rosenbach
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Joint distributions

Abstract This chapter focuses on the situation where there are two variables of interest. Generally the probability that one variable takes a specific value or a specific range of values will vary according to the value taken by the other variable.
Rajan Chattamvelli, Ramalingam Shanmugam
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Joint distributions, the uncertainty principle and positive distributions

Mathematical Structures in Computer Science, 2014
We examine the construction of joint probabilities for non-commuting observables. We show that there are indications in standard quantum mechanics that imply the existence of conditional expectation values, which in turn implies the existence of a joint distribution.
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On the Joint Distribution of Observables

Foundations of Physics, 2000
A general algebraic system M is considered with two binary operations. The family of all measurable functions with values in the unit interval is a motivating example. A state is a morphism from M to the unit interval, an observable is a morphism from the family of Borel sets to M. A joint distribution of two observables is constructed.
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