Der nichtdistributive, orthokomplementäre Verband der Projektionsoperatoren in der Quantenmechanik hat Anlaß zu mancherlei Interpretationen gegeben, so z. B. als eine von der klassischen Logik abweichende Quantenlogik, oder man deutete die Projektionsoperatoren als Eigenschaften von Mikroobjekten. Wir glauben, mit dieser Arbeit ein wesentliches Argument für die letztere Interpretation liefern zu können: Es ist nämlich möglich, in der Menge der Eigenschaftsbegriffe ℐ eine Ordnungsrelation einzuführen. Mit dieser Ordnungsrelation bildet ℐ einen nichtdistributiven, orthokomplementären Verband. D.h. bei einer solchen Interpretation werden keinerlei Veränderungen - (...) weder im Verband der Aussagen noch im Verband der Eigenschaftsbegriffe - durch die Entdeckung der Quantenmechanik notwendig. Abschließend wird der Zusammenhang zwischen Eigenschaftsbegriffen und den Objekten, die diese Eigenschaften haben, kurz diskutiert. (shrink)

This major work covers almost all that has been learned about the acoustics of stringed instruments from Helmholtz's 19th-century theoretical elaborations to recent electroacoustic and holographic measurements.Many of the results presented here were uncovered by the author himself over a 20-year period of research on the physics of instruments in the violin family. Lothar Cremer is one of the world's most respected authorities on architectural acoustics and, not incidentally, an avid avocational violinist and violist.The book - which was published (...) in German in 1981 - first of all meets the rigorous technical standards of specialists in musical acoustics. But it also serves the needs and interests of two broader groups: makers and players of stringed instruments are expressly addressed, since the implications of the mathematical formulations are fully outlined and explained; and acousticians in general will find that the work represents a textbook illustration of the application of fundamental principles and up-to-date techniques to a specific problem.The first - and longest - of the book's three parts investigates the oscillatory responses of bowed strings. The natural nonlinearities that derive from considerations of string torsion and bending stiffness are deftly handled and concisely modeled.The second part deals with the body of the instrument. Special attention is given to the bridge, which transmits the oscillations of the strings to the wooden body and its air cavity. In this case, linear modeling proves serviceable for the most part - a simplification that would not be possible with lute - like instruments such as the guitar.The radiation of sound from the body into the listener's space, which is treated as an extension of the instrument itself, is the subject of the book's final part.Lothar Cremer is Professor Emeritus at the Technical University of Berlin, where he served as director of the Institute for Acoustical Engineering. (shrink)

Kritik: Laurenz Lütteken, Mozart. Leben und Musik im Zeitalter der Aufklärung, München: C.H. Beck 2017.

The following conjecture is due to Shelah–Hasson: Any infinite strongly NIP field is either real closed, algebraically closed, or admits a non‐trivial definable henselian valuation, in the language of rings. We specialise this conjecture to ordered fields in the language of ordered rings, which leads towards a systematic study of the class of strongly NIP almost real closed fields. As a result, we obtain a complete characterisation of this class.

Le portrait politique de Constant est divisé en quatre parties.

Keine ausführliche Beschreibung für "Das Denken Martin Heideggers" verfügbar.

The major theoretical framework relative to the perception of illusory figures is reviewed and discussed in the attempt to provide a unifying explanatory account for these phenomena.

Following the pioneering studies of the receptive field (RF), the concept gained further significance for visual perception by the discovery of input effects from beyond the classical RF. These studies demonstrated that neuronal responses could be modulated by stimuli outside their RFs, consistent with the perception of induced brightness, color, orientation, and motion. Lesion scotomata are similarly modulated perceptually from the surround by RFs that have migrated from the interior to the outer edge of the scotoma and in this way (...) provide filling-in of the void. Large RFs are advantageous to this task. In higher visual areas, such as the middle temporal and inferotemporal lobe, RFs increase in size and lose most of their retinotopic organization while encoding increasingly complex features. Whereas lowerlevel RFs mediate perceptual filling-in, contour integration, and figure–ground segregation, RFs at higher levels serve the perception of grouping by common fate, biological motion, and other biologically relevant stimuli, such as faces. Studies in alert monkeys while freely viewing natural scenes showed that classical and nonclassical RFs cooperate in forming representations of the visual world. Today, our understanding of the mechanisms underlying the RF is undergoing a quantum leap. What had started out as a hierarchical feedforward concept for simple stimuli, such as spots, lines, and bars, now refers to mechanisms involving ascending, descending, and lateral signal flow. By extension of the bottom-up paradigm, RFs are nowadays understood as adaptive processors, enabling the predictive coding of complex scenes. Top-down effects guiding attention and tuned to task-relevant information complement the bottom-up analysis. (shrink)

Die digitale Transformation erfasst die Medien der Literatur und Literaturkritik in unterschiedlicher Geschwindigkeit. Die Substituierung der gedruckten Zeitung, der Stammheimat der Literaturkritik, durch digitale Formate ist weit vorangeschritten. Auf dem Buchmarkt ist das gedruckte Hardcover nach wie vor ein relativ stabiles Element. Der Beitrag kommentiert diese Differenz in medienhistorischer Perspektive.

An exponential $\exp $ on an ordered field $$. The structure $$ is then called an ordered exponential field. A linearly ordered structure $$ is called o-minimal if every parametrically definable subset of M is a finite union of points and open intervals of M.The main subject of this thesis is the algebraic and model theoretic examination of o-minimal exponential fields $$ whose exponential satisfies the differential equation $\exp ' = \exp $ with initial condition $\exp = 1$. This study (...) is mainly motivated by the Transfer Conjecture, which states as follows:Any o-minimal exponential field $$ whose exponential satisfies the differential equation $\exp ' = \exp $ with initial condition $\exp =1$ is elementarily equivalent to $\mathbb {R}_{\exp }$.Here, $\mathbb {R}_{\exp }$ denotes the real exponential field $$, where $\exp $ denotes the standard exponential $x \mapsto \mathrm {e}^x$ on $\mathbb {R}$. Moreover, elementary equivalence means that any first-order sentence in the language $\mathcal {L}_{\exp } = \{+,-,\cdot,0,1, <,\exp \}$ holds for $$ if and only if it holds for $\mathbb {R}_{\exp }$.The Transfer Conjecture, and thus the study of o-minimal exponential fields, is of particular interest in the light of the decidability of $\mathbb {R}_{\exp }$. To the date, it is not known if $\mathbb {R}_{\exp }$ is decidable, i.e., whether there exists a procedure determining for a given first-order $\mathcal {L}_{\exp }$ -sentence whether it is true or false in $\mathbb {R}_{\exp }$. However, under the assumption of Schanuel’s Conjecture—a famous open conjecture from Transcendental Number Theory—a decision procedure for $\mathbb {R}_{\exp }$ exists. Also a positive answer to the Transfer Conjecture would result in the decidability of $\mathbb {R}_{\exp }$. Thus, we study o-minimal exponential fields with regard to the Transfer Conjecture, Schanuel’s Conjecture, and the decidability question of $\mathbb {R}_{\exp }$.Overall, we shed light on the valuation theoretic invariants of o-minimal exponential fields—the residue field and the value group—with additional induced structure. Moreover, we explore elementary substructures and extensions of o-minimal exponential fields to the maximal ends—the smallest elementary substructures being prime models and the maximal elementary extensions being contained in the surreal numbers. Further, we draw connections to models of Peano Arithmetic, integer parts, density in real closure, definable Henselian valuations, and strongly NIP ordered fields.Parts of this thesis were published in [2–5].Abstract prepared by Lothar Sebastian KrappE-mail: [email protected]: https://d-nb.info/1202012558/34. (shrink)

1. v. A história da filosofia portuguesa desde o seu coméc̣o até ao final do século xvi (exceptuada a restaurac̣ão da escolástica).

This article is about the post-history of Hobbes’s name for the state and thus about the history of the name ‘Leviathan’ insofar as this name has remained the catchword for the (modern) state to this day (from the late 17th century to the beginning of the 21st century), but above all for that of absolutist-despotic proportions. This story, told here for the first time, is particularly interesting because it ultimately reveals a continuity in the understanding of Hob-bes that suggests that (...) this post-history not only has something to do with Hobbes’s Leviathan itself, but at least as much with its pre-history - with the name ‘Leviathan’, which Hobbes gave the state in reference to the biblical monster of the same name. (shrink)