scholarly journals The Vibrations of a Particle about a Position of Equilibrium—Part III

1922 ◽  
Vol 41 ◽  
pp. 128-140
Author(s):  
Bevan B. Baker
Keyword(s):  
Dynamical System ◽  
Series Solution ◽  
Elliptic Functions ◽  
The Other ◽  
Real Solution ◽  
Present Part ◽  
Image Position ◽  
Region Of Convergence ◽  
Range Of Values ◽  
Made In

In the two parts of this investigation previously published it has been shown that the solution in terms of elliptic functions represents the motion of the particular dynamical system under consideration throughout the whole range of values of s and g for which a real solution exists, except for those values for which s = 2g and k = 1, but that, on the other hand, the series solution is convergent and represents the motion only so long asfor values of s and g for which the sign of this inequality is reversed the trigonometric series representing the solution are divergent. It is of importance to investigate what discontinuities, if any, of the system correspond to values of s and g which lie on the boundary of the region of convergence; the present part is concerned primarily with showing that under such circumstances no discontinuity of the system exists, thus confirming the suggestions made in Part I., § 12.

St. Mark 4.1–34

1952 ◽  
Vol 5 (1) ◽  
pp. 49-66
Author(s):  
C.E.B. Cranfield
Keyword(s):  
The Other ◽  
General Question ◽  
Composite Section ◽  
Image Position ◽  
Made In

The structure of this section, which is one of the two large blocks of teaching in Mark (the other being chapter 13), may be indicated as follows: That this is a composite section is fairly obvious. In v. 1 Jesus is sitting in a boat and in v. 36 he is apparently still in the boat, but vv. 10–20 presuppose a different scene. As things stand it is not clear to whom the teaching in vv. 21–32 was addressed. Are we to conclude from its relation to vv. 10–20 that it was addressed to the disciples alone, or are we to conclude from its relation to vv. 33 f. that it was addressed to the multitude? It seems likely that we have to do here with a number of originally independent pieces of tradition which have been brought together in several stages to form an artificial unity. Vv. 10–20 disturb the unity of scene of a grouping of parables and sayings which is probably itself artificial. But vv. 10–20 themselves are not originally a unit. Vv. 11–20 give a double answer to the disciples' question in v. 10. V. 13 (with the singular ‘this parable’) presupposes a question about the meaning of the particular parable and would follow on v. 10 quite smoothly. It is true that the plural ‘the parables’ in v. 10 might suggest a more general question, but it need not; and one wonders whether it represents a correction made in order to make the insertion of vv. 11 f. easier.

On the independence of Henkin's axioms for fragments of the propositional calculus

1951 ◽  
Vol 16 (1) ◽  
pp. 43-45
Author(s):  
Maurice L'abbé
Keyword(s):  
Propositional Calculus ◽  
General System ◽  
Function Symbol ◽  
The Other ◽  
Axiom Schema ◽  
Other Hand ◽  
Truth Function ◽  
The One ◽  
Image Position ◽  
Made In

A general system of axioms has been given by Henkin for a fragment of the propositional calculus having as primitive symbols, in addition to the usual parentheses, variables, and implication sign ⊃, an arbitrarily given truth function symbol ϕ. This system of axioms, which we shall denote by S(⊃, ϕ), contains the following three axiom schemataplus the 2m further axiom schemata involving the symbol ϕwhere ϕ is an m-placed function symbol. We refer to Henkin's paper, p. 43, for the detailed description of the axiom schemata (4).The remark was made in the above mentioned paper that each of the 2m axiom schemata of (4) is trivially independent of the rest of the axioms of S(⊃, ϕ), and it was conjectured that the axiom schemata (1), (2) and (3) are also independent. In this note, we prove the general independence of the axiom schemata (1) and (2). As for (3), we show on the one hand its independence in the systems S(⊃) and S(⊃, f), and, on the other hand, its dependence in the system S(⊃, ∼). The net result is, therefore, that in any of these systems of axioms S(⊃, ϕ) all the axiom schemata are independent, except possibly the axiom schema (3).

scholarly journals The Vibration of a Particle about a Position of Equilibrium—Part IV

1922 ◽  
Vol 41 ◽  
pp. 141-145
Author(s):  
Bevan B. Baker
Keyword(s):  
Dynamical System ◽  
Series Solution ◽  
Cubic Equation ◽  
Image Position

It has been shown in the previous three parts of this work, that the whole question of the convergence of the series solution, for the particular dynamical system under consideration, has turned upon the cubic equationBefore proceeding to generalize the results it will be shown how this cubic equation may be derived in a slightly different fashion.

Two parallel processors with coupled inputs

1992 ◽  
Vol 24 (04) ◽  
pp. 986-1007 ◽  
Author(s):  
Paul E. Wright
Keyword(s):  
Queue Length ◽  
Algebraic Curve ◽  
Length Distribution ◽  
Elliptic Functions ◽  
Parallel Processors ◽  
The Other ◽  
Limit Laws ◽  
Queue Length Distribution ◽  
The Mean ◽  
Made In

We consider the double queue arising from a system consisting of two processors serving three job streams generated by independent Poisson sources. The central job stream of rate v consists of jobs which place resource demands on both processors, which are handled separately by each processor once the request is made. In addition, the first processor receives background work at a rate of λwhile the second receives similar tasks at a rate η. Each processor has exponentially distributed service times with rates α and β respectively. A functional equation is found for P(z, w), the generating function of the joint queue-length distribution, which leads to a relation between P(z, 0) and P(0, w) in the region |z|, |w| < 1 of a complex algebraic curve associated with the problem. The curve is parametrized by elliptic functions z(ξ) and w(ξ) and the relation between Ρ (z(ξ), 0) and P(0, w(ξ)) persists on their analytic continuation as elliptic functions in the ξ-plane. This leads to their eventual determination by an appeal to the theory of elliptic functions. From this determination we obtain asymptotic limit laws for the expectations of the mean number of jobs in each queue conditioned on the other, as the number of jobs in both processors tends to∞. Transitions are observed in the asymptotic behavior of these quantities as one crosses various boundaries in the parameter space. An interpretation of these results via the theory of large deviations is presented.

Two parallel processors with coupled inputs

1992 ◽  
Vol 24 (4) ◽  
pp. 986-1007 ◽  
Author(s):  
Paul E. Wright
Keyword(s):  
Queue Length ◽  
Algebraic Curve ◽  
Length Distribution ◽  
Elliptic Functions ◽  
Parallel Processors ◽  
The Other ◽  
Limit Laws ◽  
Queue Length Distribution ◽  
The Mean ◽  
Made In

We consider the double queue arising from a system consisting of two processors serving three job streams generated by independent Poisson sources. The central job stream of rate v consists of jobs which place resource demands on both processors, which are handled separately by each processor once the request is made. In addition, the first processor receives background work at a rate of λwhile the second receives similar tasks at a rate η. Each processor has exponentially distributed service times with rates α and β respectively. A functional equation is found for P(z, w), the generating function of the joint queue-length distribution, which leads to a relation between P(z, 0) and P(0, w) in the region |z|, |w| < 1 of a complex algebraic curve associated with the problem. The curve is parametrized by elliptic functions z(ξ) and w(ξ) and the relation between Ρ (z(ξ), 0) and P(0, w(ξ)) persists on their analytic continuation as elliptic functions in the ξ-plane. This leads to their eventual determination by an appeal to the theory of elliptic functions. From this determination we obtain asymptotic limit laws for the expectations of the mean number of jobs in each queue conditioned on the other, as the number of jobs in both processors tends to∞. Transitions are observed in the asymptotic behavior of these quantities as one crosses various boundaries in the parameter space. An interpretation of these results via the theory of large deviations is presented.

On the Future of the Financial Redistribution across Member States in the EU

2006 ◽  
Vol 56 (1) ◽  
pp. 1-43
Author(s):  
Sándor Richter
Keyword(s):  
Value Added ◽  
The Other ◽  
Current Debate ◽  
Member States ◽  
New Member States ◽  
Financial Position ◽  
Cross Member ◽  
Expenditure Structure ◽  
The Eu ◽  
Made In

The order and modalities of cross-member state redistribution as well as the net financial position of the member states are one of the most widely discussed aspects of European integration. The paper addresses selected issues in the current debate on the EU budget for the period 2007 to 2013 and introduces four scenarios. The first is identical to the European Commission's proposal; the second is based on reducing the budget to 1% of the EU's GNI, as proposed by the six net-payer countries, while maintaining the expenditure structure of the Commission's proposal. The next two scenarios represent radical reforms: one of them also features a '1% EU GNI'; however, the expenditures for providing 'EU-wide value-added' are left unchanged and it is envisaged that the requisite cuts will be made in the expenditures earmarked for cohesion. The other reform scenario is different from the former one in that the cohesion-related expenditures are left unchanged and the expenditures for providing 'EU-wide value-added' are reduced. After the comparison of the various scenarios, the allocation of transfers to the new member states in terms of the conditions prevailing in the different scenarios is analysed.

Physical and Mechanical Properties of Tenun Pahang Fabrics using Alternative Yarns

2016 ◽  
Vol 13 (2) ◽  
pp. 67
Author(s):  
Engku Liyana Zafirah Engku Mohd Suhaimi ◽  
Jamil Salleh ◽  
Suzaini Abd Ghani ◽  
Mohamad Faizul Yahya ◽  
Mohd Rozi Ahmad
Keyword(s):  
Mechanical Properties ◽  
Physical And Mechanical Properties ◽  
The Other ◽  
Silk Fabrics ◽  
Recovery Angle ◽  
Made In

An investigation on the properties of Tenun Pahang fabric performances using alternative yarns was conducted. The studies were made in order to evaluate whether the Tenun Pahang fabric could be produced economically and at the same time maintain the fabric quality. Traditional Tenun Pahang fabric uses silk for both warp and weft. For this project, two alternative yarns were used which were bamboo and modal, which were a little lower in cost compared to silk. These yarns were woven with two variations, one with the yarns as weft only while maintaining the silk warp and the other with both warp and weft using the alternative yarns. Four (4) physical testings and three (3) mechanical testings conducted on the fabric samples. The fabric samples were evaluated including weight, thickness, thread density, crease recovery angle, stiffness and drapability. The results show that modal/silk and bamboo silk fabrics are comparable in terms of stiffness and drapability, hence they have the potential to replace 100% silk Tenun Pahang.

Intermedialität

2006 ◽  
Vol 51 (2) ◽  
pp. 52-78 ◽  
Author(s):  
Corina Caduff ◽  
Sabina Gebhardt Fink ◽  
Florian Keller ◽  
Steffen Schmidt
Keyword(s):  
Visual Arts ◽  
The Other ◽  
Systematic Description ◽  
Artistic Representations ◽  
Music Literature ◽  
Music Film ◽  
Made In

Intermedialität wird hier systematisch an Musik, Literatur, visuelle Kunst und Film dargestellt. Den Anfang machen allgemeine Überlegungen zu Materialität und Medium in diesen verschiedenen Künsten. Im Weiteren werden unter dem Aspekt ›Bimedialität‹ verschiedene Beispiele vorgestellt, die jeweils aus zwei Medien bestehen (z.B. Musikfilm, das Lied oder Schriftbilder). Dabei folgen wir der Frage, ob und wie jeweils eines der beiden Medien eine Vorrangstellung bekommt. Der abschließende Teil behandelt „intermediale Bezüge in Monomedialität“. Hier geht es um monomediale Darstellungen, denen aber eine Beschäftigung mit einem anderen Medium vorangegangen ist. Das ist etwa dann der Fall, wenn ein Schriftsteller über ein Bild schreibt, ohne daß dieses (im Text) zu sehen ist. In this article, we offer a systematic description of intermedia relations across music, literature, the visual arts, and film. Beginning with some general reflections on materiality and medium in these diverse fields of art, we then offer various examples consisting of two media (e.g. music film, song, images in writing). We pursue the question if, and how, one of the two media may take priority over the other. In our conclusion, we deal with „intermedia relations in monomediality“. This section focuses on artistic representations made in one medium, but based on reflections on another medium. For instance, this is the case when a novelist writes about a picture without having this picture reprinted in the text.

RECYCLED BRICK SOUNDPROOF TEST AS AN ALTERNATIVE SUSTAINABLE MATERIAL

2020 ◽  
Vol 13 (2) ◽  
pp. 44-54
Author(s):  
Hendrico Firzandy Latupeirissa ◽  
Gierlang Bhakti Putra ◽  
Niki Prastomo
Keyword(s):  
Waste Disposal ◽  
Sound Source ◽  
Building Material ◽  
Building Materials ◽  
Negative Impact ◽  
The Other ◽  
Human Comfort ◽  
Construction Waste ◽  
Coarse Grains ◽  
Made In

Brick debris that makes up the majority of construction waste has not received proper waste disposal in Indonesia. On the other hand, brick debris could be potentially reused as non-structural building materials to reduce its negative impact on the environment. This study aims to test the effectiveness of soundproofing on recycled brick debris. The soundproof test was carried out on brick debris in the form of fine and coarse grains. The simulation box is then used as a support for the brickwork material and then the box is exposed to a sound source with a certain level of noise that is considered disturbing human comfort. Noise level measurements are made in the outside and inside the box. These measurements are tabulated and then analyzed to see the success of the two aggregates in reducing noise. Basically, the brickwork material has succeeded in becoming a recycled building material that can absorb noise, although further research must be carried out to be able to state that this material is truly ready to be used as an alternative building material with good acoustic capabilities.

Call Your "Mutha"

2020 ◽  
Author(s):  
Jane Caputi
Keyword(s):  
African American ◽  
Popular Culture ◽  
The Other ◽  
Political Class ◽  
Mother Nature ◽  
And Gender ◽  
Mother Earth ◽  
Made In

The proposed new geological era, The Anthropocene (a.k.a. Age of Humans, Age of Man), marking human domination of the planet long called Mother Earth, is truly The Age of the Motherfucker. The ecocide of the Anthropocene is the responsibility of Man, the Western- and masculine-identified corporate, military, intellectual, and political class that masks itself as the exemplar of the civilized and the human. The word motherfucker was invented by the enslaved children of White slave masters to name their mothers’ rapist/owners. Man’s strategic motherfucking, from the personal to the planetary, is invasion, exploitation, spirit-breaking, extraction and toxic wasting of individuals, communities, and lands, for reasons of pleasure, plunder, and profit. Ecocide is attempted deicide of Mother Nature-Earth, reflecting Man’s goal to become the god he first made in his own image. The motivational word Motherfucker has a flip side, further revealing the Anthropocene as it signifies an outstanding, formidable, and inexorable force. Mother Nature-Earth is that “Mutha’ ”—one defying translation into heteropatriarchal classifications of gender, one capable of overwhelming Man, and not the other way around. Drawing upon Indigenous and African American scholarship; ecofeminism; ecowomanism; green activism; femme, queer, and gender non-binary philosophies; literature and arts; Afrofuturism; and popular culture, Call Your “Mutha’ ” contends that the Anthropocene is not evidence of Man’s supremacy over nature, but that Mother Nature-Earth, faced with disrespect, is going away. It is imperative now to call the “Mutha’ ” by decolonizing land, bodies, and minds, ending rapism, feeding the green, renewing sustaining patterns, and affirming devotion to Mother Nature-Earth.

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