ΑΝΑΛΥΣΙΣ ΠΕΡΙ ΤΑ ΣΧΗΜΑΤΑ. Restoring Aristotle’s Lost Diagrams of the Syllogistic Figures

The article examines the relevance of Aristotle’s analysis that concerns the syllogistic figures. On the assumption that Aristotle’s analytics was inspired by the method of geometric analysis, we show how Aristotle used the three terms (letters), when he formulated the three syllogistic figures. So far it has not been appropriately recognized that the three terms — the major, the middle and the minor one — were viewed by Aristotle syntactically and predicatively in the form of diagrams. Many scholars have misunderstood Aristotle in that in the second and third figure the middle term is outside and that in the second figure the major term is next to the middle one, whereas in the third figure it is further from it. By means of diagrams, we have elucidated how this perfectly accords with Aristotle's planar and graphic arrangement. In the light of these diagrams, one can appropriately capture the definition of syllogism as a predicative set of terms. Irrespective of the tricky question concerning the abbreviations that Aristotle himself used with reference to these types of predication, the reconstructed figures allow us better to comprehend the reductions of syllogism to the first figure. We assume that the figures of syllogism are analogous to the figures of categorical predication, i.e., they are specific syntactic and semantic models. Aristotle demanded certain logical and methodological competence within analytics, which reflects his great commitment and contribution to the field.

A Neural Network Architecture for Figure-ground Separation of Connected Scenic Figures

A neural network model, called an FBF network, is proposed for automatic parallel separation of multiple image figures from each other and their backgrounds in noisy grayscale or multi-colored images. The figures can then be processed in parallel by an array of self-organizing Adaptive Resonance Theory (ART) neural networks for automatic target recognition. An FBF network can automatically separate the disconnected but interleaved spirals that Minsky and Papert introduced in their book Perceptrons. The network's design also clarifies why humans cannot rapidly separate interleaved spirals, yet can rapidly detect conjunctions of disparity and color, or of disparity and motion, that distinguish target figures from surrounding distractors. Figure-ground separation is accomplished by iterating operations of a Feature Contour System (FCS) and a Boundary Contour System (BCS) in the order FCS-BCS-FCS, hence the term FBF, that have been derived from an analysis of biological vision. The FCS operations include the use of nonlinear shunting networks to compensate for variable illumination and nonlinear diffusion networks to control filling-in. A key new feature of an FBF network is the use of filling-in for figure-ground separation. The BCS operations include oriented filters joined to competitive and cooperative interactions designed to detect, regularize, and complete boundaries in up to 50 percent noise, while suppressing the noise. A modified CORT-X filter is described which uses both on-cells and off-cells to generate a boundary segmentation from a noisy image.

Exploring figures of merit associated with the suboptimum operation of class-E power amplifiers

Closed-form design equations for the operation of a class-E amplifier for zero switch voltage slope and arbitrary duty cycle are derived. This approach allows an additional degree of freedom in the design of class-E amplifiers which are normally designed for 50 duty ratio. The analysis developed permits the selection of non-unique solutions where amplifier efficiency is theoretically 100 but power output capability is less than that the 50 duty ratio case would permit. To facilitate comparison between 50 (optimal) and non-50 (suboptimal) duty ratio cases, each important amplifier parameter is normalised to its corresponding optimum operation value. It is shown that by choosing a non-50 suboptimal solution, the operating frequency of a class-E amplifier can be extended. In addition, it is shown that by operating the amplifier in the suboptimal regime, other amplifier parameters, for example, transistor output capacitance or peak switch voltage, can be included along with the standard specification criteria of output power, DC supply voltage and operating frequency as additional input design specifications. Suboptimum class-E operation may have potential advantages for monolithic microwave integrated circuit realisation as lower inductance values (lower series resistance, higher self-resonance frequency, less area) may be required when compared with the results obtained for optimal class-E amplifier synthesis. The theoretical analysis conducted here was verified by harmonic balance simulation, with excellent agreement between both methods. © The Institution of Engineering and Technology 2007.

A carefully curated collection: female figures as sites of inscription in Gautier’s Émaux et Camées

This article examines the ways in which female figures function as additional sites for poetic inscription in Gautier's Émaux et Camées. Although considerable attention has already been paid to the numerous and varied objects catalogued in the collection and, indeed, to the notion of the poems themselves as objects, the present study aims to expand upon such interpretations of the work by focusing on three texts, "Le Poëme de la femme", "Étude de mains : Impéria" and "La fellah". In these poems, female figures who, while they may at first be granted some agency (and be represented going about the business of daily, if highly stylized, life), are finally immobilized within the verse as their bodies, and particularly their pristine skin, ultimately function as an additional paper-like surface for the poet, permitting their assimilation into Gautier's diminutive private collection.

L'école de la chasse aux chiens courants / par Le Verrier de la Conterie ; Illustré de huit estampes de Bidinger, de bandeaux d'après Routar et des 27 figures techniques des éditions anciennes

Collection : Les maîtres de la vénerie ; ̊ 5

Catalogue d'une importante collection de vignettes par ou d'après Borel, Choffard, Eisen, Gravelot, Lebarbier, Marillier, Monnet, Moreau le jeune, Queverdo et autres, Portraits des XVIe, XVIIe et XVIIIe siècles, Estampes, dessins des XVIIIe et XIXe siècles, autographes, suites de figures, composant la collection de Mr H. de G. La vente aura lieu du lundi 27 février au mercredi 8 mars 1893... 28 rue des Bons-Enfants... / Me Maurice Delestre, commissaire-priseur ; [expert] M. Ch. Porquet, libraire, M. P. Roblin, marchand d'estampes

[Vente. Art. 1893-02-27 - 1893-03-08. Paris]