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The concept of an injective affine embedding of the quantum states into a set of classical states, i.e., into the set of the probability measures on some measurable space, as well as its relation to statistically complete observables is revisited, and its limitation in view of a classical reformulation of the statistical scheme of quantum mechanics is discussed. In particular, on the basis of a theorem concerning a non-denseness property of a set of coexistent effects, it is shown that an injective classical embedding of the quantum states cannot be supplemented by an at least approximate classical description of the quantum mechanical effects. As an alternative approach, the concept of quasi-probability representations of quantum mechanics is considered.
Achilles tendon rupture (ATR) patients have persistent functional deficits in the triceps surae muscle–tendon unit (MTU). The complex remodeling of the MTU accompanying these deficits remains poorly understood. The purpose of the present study was to associate in vivo and in silico data to investigate the relations between changes inMTU properties and strength deficits inATR patients. Methods: Elevenmale subjects who had undergone surgical repair of complete unilateral ATR were examined 4.6 ± 2.0 (mean ± SD) yr after rupture. Gastrocnemius medialis (GM) tendon stiffness, morphology, and muscle architecture were determined using ultrasonography. The force–length relation of the plantar flexor muscles was assessed at five ankle joint angles. In addition, simulations (OpenSim) of the GM MTU force–length properties were performed with various iterations of MTU properties found between the unaffected and the affected side. Results: The affected side of the patients displayed a longer, larger, and stiffer GM tendon (13% ± 10%, 105% ± 28%, and 54% ± 24%, respectively) compared with the unaffected side. The GM muscle fascicles of the affected side were shorter (32% ± 12%) and with greater pennation angles (31% ± 26%). A mean deficit in plantarflexion moment of 31% ± 10% was measured. Simulations indicate that pairing an intact muscle with a longer tendon shifts the optimal angular range of peak force outside physiological angular ranges, whereas the shorter muscle fascicles and tendon stiffening seen in the affected side decrease this shift, albeit incompletely. Conclusions: These results suggest that the substantial changes in MTU properties found in ATR patients may partly result from compensatory remodeling, although this process appears insufficient to fully restore muscle function.
Digital Image Correlation (DIC) is a powerful tool used to evaluate displacements and deformations in a non-intrusive manner. By comparing two images, one of the undeformed reference state of a specimen and another of the deformed target state, the relative displacement between those two states is determined. DIC is well known and often used for post-processing analysis of in-plane displacements and deformation of specimen. Increasing the analysis speed to enable real-time DIC analysis will be beneficial and extend the field of use of this technique.
Here we tested several combinations of the most common DIC methods in combination with different parallelization approaches in MATLAB and evaluated their performance to determine whether real-time analysis is possible with these methods. To reflect improvements in computing technology different hardware settings were also analysed. We found that implementation problems can reduce the efficiency of a theoretically superior algorithm such that it becomes practically slower than a suboptimal algorithm. The Newton-Raphson algorithm in combination with a modified Particle Swarm algorithm in parallel image computation was found to be most effective. This is contrary to theory, suggesting that the inverse-compositional Gauss-Newton algorithm is superior. As expected, the Brute Force Search algorithm is the least effective method. We also found that the correct choice of parallelization tasks is crucial to achieve improvements in computing speed. A poorly chosen parallelisation approach with high parallel overhead leads to inferior performance. Finally, irrespective of the computing mode the correct choice of combinations of integerpixel and sub-pixel search algorithms is decisive for an efficient analysis. Using currently available hardware realtime analysis at high framerates remains an aspiration.
Inhaltsverzeichnis
1. Die Haftung des GmbH-Geschäftsführers in der Insolvenz - Grundsätze
und Modifikationen infolge der Covid-19 Pandemie
– Franziska Tings 3-61
2. Disquotale Gewinnausschüttung in der Organschaft – Die Neuregelung des
§ 14 Abs. 2 KStG und die Auslegung durch die Finanzverwaltung
– Julian Lehner 62-149
3. Auswirkungen des Mauracher Entwurfs auf die Gesellschaft bürgerlichen
Rechts – Neuerfindung oder bloße Korrektur des
Personengesellschaftsrechts?
– Elena Hoß 150-209
4. Befristung von Arbeitsverhältnissen - Rechtliche Rahmenbedingungen und
arbeitsmarktpolitische Chancen und Risiken
– Franziska Gotzens 210-270
5. Die Rolle der psychischen Gesundheit am Arbeitsplatz Entwicklung
exemplarischer Handlungsempfehlungen für den ganzheitlichen Umgang
mit psychischen Belastungen im Homeoffice
– Marie-Sophie Creutz 271-346
6. Tokenisierung von illiquiden Vermögenswerten – Wie Blockchain die
Immobilienwirtschaft verändern kann
– Nils Christ 347-404
Inhaltsverzeichnis
1. Die ordentliche Kündigung chronisch Kranker im Anwendungsbereich des
KSchG
– Nora Trümpener 3-56
2. Die Legitimationswirkung der Gesellschafterliste -
Erfolg trotz Grenzen?
– Jan Peters 57-112
3. Marktmanipulation – Arten, Abgrenzung und gesetzliche Handhabe
– Manuel Herzel 113-170
4. Die Zulässigkeit der Verdachtskündigung im Arbeitsverhältnis
– Alina Vollmann 171-248
5. Praxisorientierter Arbeitgeberleitfaden zur rechtssicheren Einführung von
Homeoffice im Arbeitsverhältnis
– Gina Breuer 249-304
Gebaute Geschichte in Turin
(2014)