The Appearance of the “Ideal” and Other Topoi in Bartók’s Two Sonatas for Violin and Piano nos. 1–2

The early Violin Concerto (1907–1908) dedicated to the young violinist, Stefi Geyer, is regarded as one of the most personal compositions by Béla Bartók. The transparent structure, and the ethereal, unearthly tone of the first movement, probably inspired by Stefi Geyer’s playing, belongs to the warmest and most intimate tone used by the composer. Presumably, its re-emergence in certain passages of the two Violin-Piano Sonatas (1921 and 1922) was not by chance. It might have been the composer’s reaction to Jelly d’Arányi’s violin playing that evoked the memory of the early concerto and its source of inspiration. However, despite their similarities the “ideal” tone of the Sonatas is not the same as that in the Violin Concerto. It is still recognisable, but it has a different, perhaps more mature character and, furthermore, within the material surrounding it, we can detect the kernel of those Bartókian types which gain their definite form only in his 1926 emblematic piano pieces, for instance some elements of his “night music” type, his mourning song type, and some characteristic traits of his “chase” music. In the present article, besides following the process of transformation of the “ideal,” I make an attempt to identify the newly developed musical types, and to find an explanation of all these changes.

A characterization of alternating links in thickened surfaces

We use an extension of Gordon–Litherland pairing to thickened surfaces to give a topological characterization of alternating links in thickened surfaces. If $\Sigma$ is a closed oriented surface and $F$ is a compact unoriented surface in $\Sigma \times I$ , then the Gordon–Litherland pairing defines a symmetric bilinear pairing on the first homology of $F$ . A compact surface in $\Sigma \times I$ is called definite if its Gordon–Litherland pairing is a definite form. We prove that a link $L$ in a thickened surface is non-split, alternating, and of minimal genus if and only if it bounds two definite surfaces of opposite sign.

Living in Generosity: The Making of a Refugee Resettlement Centre

<p>Generosity naturally reflects the idea of abundance, larger or plentiful. However, generosity as a language in architecture is vaguely understood, as it has neither a particular scheme nor definite form. This thesis focuses on the idea of generosity in architecture by exploring the language of generosity in providing a generous living for refugees resettling in New Zealand. It concerns the condition of living within a refugee resettlement centre when refugees spend their first six-week orientation program to prepare them for a new life in New Zealand. Through design-led research process, the project takes the concept of elementary geometry from children’s drawing of a house and evolves by extracting the language of generosity to form an architecture. Anything that could be simple to us could mean more to others. Hence, the act of provocation in the simplicity of form, scale, scheme, and colour could transform our perception on “generosity”, and thus it gives the potential for architecture to create an ideal condition of living for future refugees resettling in New Zealand.</p>

Living in Generosity: The Making of a Refugee Resettlement Centre

<p>Generosity naturally reflects the idea of abundance, larger or plentiful. However, generosity as a language in architecture is vaguely understood, as it has neither a particular scheme nor definite form. This thesis focuses on the idea of generosity in architecture by exploring the language of generosity in providing a generous living for refugees resettling in New Zealand. It concerns the condition of living within a refugee resettlement centre when refugees spend their first six-week orientation program to prepare them for a new life in New Zealand. Through design-led research process, the project takes the concept of elementary geometry from children’s drawing of a house and evolves by extracting the language of generosity to form an architecture. Anything that could be simple to us could mean more to others. Hence, the act of provocation in the simplicity of form, scale, scheme, and colour could transform our perception on “generosity”, and thus it gives the potential for architecture to create an ideal condition of living for future refugees resettling in New Zealand.</p>

Geometry on the variety of subspaces with positive definite form: geometry of the Grassmann spaces over generalized hyperbolic spaces

We consider Grassmann structures defined on the family consisting of subspaces on which a given nondegenerate bilinear form defined on a real vector space is positive definite. One may call such structures Grassmann spaces over generalized hyperbolic spaces. We show that the underlying (generalized) hyperbolic space can be recovered in terms of its Grassmannian, and the underlying projective space (equipped with respective associated polarity) can be recovered in terms of the generalized hyperbolic space defined over it.

KONSEP AD-DIN MENURUT NAQUIB AL-ATTAS

According to Al-Attas, it is very important to look sharply at the important relationship between the concept of din and madīnah which comes from din. Dīn relates to an individual believer, and madīnah in the context of the collective or the ummat. This can be seen in the history of changing the name of the city of Yasthrib to madīnah. We must see that Al-Madīnah is called and named that way because that is where the true din is established for mankind. There the believers enslaved themselves under the authority and power of the Prophet's law. as dayyān. It is also there that the consciousness of being indebted to Allah takes its definite form, and the manner and rules of the 'payment' which are agreed upon begin to be clearly explained.

Las rectorías parroquiales en la ciudad de Córdoba durante el Antiguo Régimen: acercamiento a la cuestión

ResumenSi poco estudiado ha sido el estrato más bajo del clero en la ciudad de Córdoba, el pequeño núcleo que formaban los rectores parroquiales aún menos. Estas rectorías, de importancia supina para la labor pastoral y la administración de sacramentos, parecen no tener una forma definida durante la época moderna en Córdoba. La cuestión de su definición es el objeto de este artículo, para lo que se han consultado las constituciones sinodales de la diócesis, así como diversa información de archivo. Su carácter beneficial o no, así como la concesión de la cura animarum centran el debate. La adaptación al modelo tridentino de rectoría parroquial exigió un verdadero esfuerzo para la administración diocesana, que debió lidiar con las reticencias y alegaciones de una empoderada Universidad de Beneficiados que se había aprovechado de la indefinición de este cargo en la ciudad de Córdoba. Por ello, se destaca un punto de inflexión en esta situación en 1648, cuando el obispo Pimentel, animado desde Roma, plantea un modelo de patronato para estas rectorías que permitan la manutención de sus titulares sin el perjuicio de modificar cualquier reparto del diezmo parroquial, que hubiera supuesto una mayor oposición a la que ya hubo durante un siglo después.AbstractIf little studied has been the lower stratum of the clergy in the city of Córdoba, the small nucleus that made up the parish rectors even less. These rectories, of supine importance for pastoral work and the administration of the sacraments, seem to have no definite form during modern times in Córdoba. The question of its definition is the object of this article, for which the synodical constitutions of the diocese has been consulted, as well as various archival information. Its beneficial nature or not, as well as the granting of the cura animarum center the debate. The adaptation to the Tridentine model of parish rectory required a real effort from the diocesan administration, which had to deal with the reluctance and allegations of an empowered Universidad de Beneficiados, that had taken advantage of the lack of definition of this position in the city of Córdoba. For this reason, a turning point in this situation stands out in 1648, when the bishop fray Domingo Pimentel, encouraged from Rome, proposed a model of patronage for these rectories that would allow the maintenance of their holders without the detriment of modifying any distribution of the parish tithe, that it would have supposed a greater opposition to the one that already existed during a century later.

Structure–property models of organic compounds based on molecular graphs with elements of the spatial structures of the molecules

Objectives. This article aims to describe, elaborate, and test a general algorithmic method for constructing the structure–property models for organic compounds.Results. The construction of the models is based on the statistical analysis of some sets of chemical structures of definite classes with known property values. These models have some forms of correlation equations. For the representation of chemical structures in this method, the special weighted molecular graphs (MGs) that reflect some peculiarities of the spatial structures of the corresponding molecules are used. The proposed method is realized in two steps. First, it is assumed that the required structure–property equation has a definite form and depends on several adjusted numerical parameters and two changeable functions of one variable. In this step, from some set of functions, the pair of functions that provide the best model is selected. In the second step, the best model (from the previous step) is modified. For this purpose, the classification of the vertices of MG by the chemical symbols of the corresponding atoms and their first-order environments is fulfilled. Further, the graph edges are classified according to the classes of the vertices which they connect. Furthermore, the numerical correction terms for the initial weights of the vertices and edges are introduced, and they improve the obtained model. The final result of the model-construction process is the equation of the definite form containing concrete numerical values of its parameters. Some examples of the application of the elaborated method for constructing the structure–property models for the concrete properties and classes of compounds are presented. The following classes of organic compounds and their physicochemical properties are considered: 1) the boiling point of alcohols, 2) the water solubility of alcohols, 3) the boiling point of sulfides, and 4) the retention indices of alkylphenols. The obtained results indicate the efficiency of the proposed approach and the significance of introducing the second step to the method.Conclusions. In this work, a general algorithmic and computerized method for constructing the structure–property models of organic compounds is suggested. Examples of the application of this method demonstrated its high efficiency. The method is suitable for any class of organic compounds and properties, which are quantitatively measured. Owing to its high efficiency, the structure–property models obtained by this approach can be employed to calculate the properties of chemical compounds for which experimental data are unavailable.

Transcendental Philosophy as a Research Programme

Transcendental philosophy was not born like Athena out of Zeus’s head, mature and in full armour from the very beginning. That is why in both prefaces to the Critique of Pure Reason (1781 and 1787) Kant introduces the concept of transcendental philosophy as an “idea.” The idea understood architectonically develops slowly and only gradually acquires a definite form. As witnessed by the works of Kant himself and of his predecessors and followers, the idea of transcendental philosophy has undergone a series of changes and adjustments compared to the initial plan. In this context, my goal is not simply exegesis and historical investigation of transcendental philosophy, but also to look at it from a systematic and methodological perspective. I examine the concept of transcendental philosophy from the viewpoint of programmatic metaphilosophy. The first part discusses programmatics as a distinct subsection of metaphilosophy. I argue that Kant’s architectonic methodology and the methodology of Lakatos can be used to understand the inception, development and degradation of philosophical systems. In the second part I look at the project of transcendental philosophy and the stages of its development from the standpoint of architectonics. The third part shows that Lakatos’s methodology can provide a detailed insight into the elements of transcendental philosophy, a clear idea of its logic and identify the component parts that can be improved and developed. In spite of the different levels of detailing and epistemological prerequisites, the methodologies of Kant and Lakatos can be combined to achieve a metaphilosophically informed and progressive understanding of philosophical projects.

Pottery making in the South Aral region (concerning the question of the organization of handicrafts in antiquity)

This paper is devoted to the organizational forms of the pottery-making handicraft in the territory of the South Aral region. Three types of pottery-making have been distinguished which differed in terms of the production volumes and locations of the workshops relative the settlement sites. On the basis of analysis of the available evidence, the author comes to the conclusion that each of the distinguished types of production corresponds to a definite form of organization of the handicrafts.