scholarly journals XXIII.—An Example of the Method of Deducing a Surface from a Plane Figure

1884 ◽  
Vol 32 (2) ◽  
pp. 411-413
Author(s):  
L. Cremona

Let there be given, in a plane π, six (fundamental) points 1, 2, 3, 4, 5, 6, of which neither any three lie in a right line, nor all in a conic; and consider the six conics [1] ≡ 23456, [2] ≡ 13456, [3] ≡ 12456, [4] ≡ 12356, [5] ≡ 12346, [6] ≡ 12345, and the fifteen right lines 12, 13,…, 16, 23,…, 56.There is a pencil of cubics 1223456 (curves of the third order, having a node at 1 and passing through the other fundamental points); their tangents at the common node form an involution, viz., they are harmonically conjugate with regard to two fixed rays. Five pairs of conjugate rays of this involution are already known; for instance, the line 12 and the conic [2] have conjugate directions at the point 1, for, they make up a cubic 1223456.

2005 ◽  
Vol 59 (11) ◽  
pp. 1393-1398 ◽  
Author(s):  
Reikichi Iwamoto ◽  
Akishi Nara ◽  
Toshihiko Matsuda

In the present report we studied spectral characteristics of the near-infrared combination and overtone bands of CH vibrations of a CH sequence. The near-infrared bands of the CH in CHX3 (X, halogen), which were interpreted in terms of the CH stretching and CH deformation fundamentals without any ambiguity, typically showed how the frequency and intensity of a combination or an overtone depend on the vibrational excited state. In the CH–C–CH of CHX2CX2CHX2, the vibrations of one CH are isolated from those of the other CH, and the combination and overtone bands were similarly interpreted as those of the CH, although each of the combination bands was split into two because of non-degeneracy of the CH deformation. In the CH–CH of CHX2CHX2, the CH deformations only have coupled modes. The first combination showed four narrowly separate bands, which were reasonably interpreted on the basis of the CH stretching and the coupled CH deformation modes. We demonstrated that the first combination of coupled modes as well as the combination of up to, at least, the third order of isolated modes have the nature of the characteristic bands.


1955 ◽  
Vol 9 (4) ◽  
pp. 595-596

Common AssemblyThe third ordinary session of the Common Assembly of the European Coal and Steel Community (ECSC) reconvened from June 21 to 24, 1955. In his opening address Mr. Rene Mayer, newly elected president of the High Authority of the ECSC, expressed general agreement with the policy resolutions passed by the Common Assembly at its May meeting, and specifically mentioned resolutions on cartels, on implementation of the association agreement with the United Kingdom, and on action to improve the living standard of the workers in the ECSC countries, in regard to which he announced that the High Authority would shortly conclude two loans to finance new workers' housing projects–one of $4,000,000 in Belgium and the other of just over $4,000,000 in Germany. In addition, $300,000 were to be allocated for medical research. In commenting on the Messina conference of foreign ministers, Mr. Mayer said that the High Authority welcomed the decision to explore means of extending the single market. At the same time, he warned the Assembly to expect resistance to changes as the Community developed.


Tempo ◽  
2000 ◽  
pp. 26-31
Author(s):  
Calum MacDonald
Keyword(s):  

Two fanfares, one from the Third Symphony and the other from Connotations, the latter not obviously for the Common Man, encapsulate the paradoxes – if not contradictions – of Aaron Copland's symphonism.


2018 ◽  
Vol 7 (4) ◽  
pp. 153
Author(s):  
Neven E. Zaya ◽  
Lokman H. Hassan ◽  
Halis Bilgil

Present endeavor is devoted to estimate the air-conditioning and heating energies or loads of modern buildings in Duhok City, Iraq using new mathematical models. Many parameters have been considered in current modeling, namely, area of building, number of storeys and types of the common materials of the building walls. Regression analysis is performed to formulate new mathematical linear and nonlinear models for the loads. In addition, Fuzzy logic is utilized in the third model employing Sugeno's regulation. The outcomes reveal that the reasonable matching is achieved between the proposed models and mechanical engineering analytical solutions of heating and air-conditioning standards. Consequently, high correlation coefficient as more than 85% is determined between the predicted values of the models and analytical results. The linear model shows perfect matching with the analytical outputs more than the other proposed mathematical formulations.


This second slower group was resolved only in the third order maxima and was present in such small numbers that its mobility could not be accurately determined. Nevertheless, when the two groups of ion are resolved in this way the correct value is obtained for the mobility of the majority group. The lower values of mobility, sometimes found when the first and second order maxima were used, were due to the perturbation of the peaks of the majority group by the unresolved minority group. This minority group had a lower drift velocity than the other group and was seen to become more predominant as the conditions were altered so that the number of collisions between the faster ions and the gas molecules was increased.


2012 ◽  
Vol 20 (1) ◽  
pp. 211-221
Author(s):  
Jason Read

AbstractCommonwealthis the third book co-authored by Michael Hardt and Antonio Negri. As with the previous two books,EmpireandMultitude, the task of this book is to both critique the present order and provide the concepts for a radical transformation of that order. This review examines how this third, and final book in the series, changes the argument of the other two, specifically examining the rôle that the concept of the common plays in restructuring the idea of critique, politics, and political economy.


PMLA ◽  
1902 ◽  
Vol 17 (1) ◽  
pp. 105-124
Author(s):  
W. H. Carruth

The “dramatic guilt” or the “tragic fate” differs, it is well known, from fate and guilt in the common sense of the terms. Fate is the equivalent of blind destiny, or of the whimsical decree or the general envy or malice of the gods towards men. This Fate foredooms the victim to some crime which brings a punishment in its train, or to a wholly undeserved calamity, which the Greeks were fond of representing as foretold but unavoidable. The ill-will of the gods had perhaps been incurred by an ancestor of the victim, but was wreaked upon the remote descendant to the third and fourth generation. In this curse of the gods we may see a poetical conception of an hereditary evil. Or on the other hand, in heredity we may see a modern and very real equivalent of the Greek decree of the gods, the “moira.”


1873 ◽  
Vol 21 (139-147) ◽  
pp. 166-167

The principal object of the present Memoir is the establishment of the partial differential equation of the third order satisfied by the parameter of a family of surfaces belonging to a triple orthogonal system. It was first remarked by Bouquet that a given family of surfaces does not in general belong to an orthogonal system, but that (in order to its doing so) a condition must be satisfied: it was afterwards shown by Serret that the condition is that the parameter considered as a function of the coordinates must satisfy a partial differential equation of the third older, this equation was not obtained by him or the other French geometers engaged on the subject, although methods of obtaining it, essentially equivalent but differing in form, were given by Darboux and Levy.


2003 ◽  
Vol 125 (1) ◽  
pp. 105-109 ◽  
Author(s):  
Chintien Huang ◽  
Jin-Cheng Wang

In determining the screw systems associated with incompletely specified displacements, the displacement of a line was known to be an exceptional case. Recent research has concluded that all possible screws for the finite displacement of a line do not form a screw system. This paper utilizes Dimentberg’s definition of pitch to demonstrate that all possible screws for displacing a line from one position to another can indeed form a screw system of the third order. Two different approaches are taken: one uses the concept of a screw triangle, and the other is based on analytical geometry. A set of three linearly independent screws of the screw system is shown to be perpendicularly intersecting the external bisector of the initial and final positions of the line.


Author(s):  
R. R. A. Lacerda ◽  
A. S. Souza ◽  
G. F. Frutado ◽  
I. S. Queiroga ◽  
W. A. Lacerda

<p>A cultura da mamona vem despontando como uma das principais matérias-primas, para produção de óleo, especialmente no Nordeste, todavia muitos fatores têm dificultado o estabelecimento dessa lavoura em novas áreas dentre os quais destacam-se a falta de cultivares adaptadas a cada região de cultivo. O presente estudo foi desenvolvido com o objetivo de identificar cultivares de mamona com adaptação ao sertão paraibano. O trabalho foi conduzido no Sítio Monte Alegre zona rural do município de Pombal - PB, o delineamento experimental foi em blocos ao acaso com sete tratamentos compostos pelos cultivares BRS Nordestina; BRS Paraguaçu; BRS Energia; AL Guarany-2002; IAC 2028; IAC Guarany e IAC 80, com quatro repetições, foram avaliadas as características de crescimento e teor de óleo nas sementes. Dos resultados registrou-se maior valor de comprimento do racemo as cultivares IAC 80 e IAC 2028, considerando as médias dos racemos até a 3ª ordem, para as características de massa e número de frutos por racemos foi constatado que a IAC 80 superou estatisticamente as demais cultivares, o maior teor de óleo nas sementes foi observado na cultivar BRS Energia que também conferiu maior rendimento de óleo entre as sete cultivares. Apesar disso, acredita-se que novos estudos devem ser realizados em diferentes épocas e formas de manejo para se identificar com maior precisão qual cultivar melhor se adapta a região.</p><p><strong><em>Performance cultivars castor bean cultivars in Semiarid Paraiba: components of growth and oil content</em></strong></p><p><strong>Abstract</strong><strong>: </strong>Currently the culture of castor has emerged as a of the main raw material for the production of oil, especially in the Northeast, however many factors has hampered the establishment of this tilth in new areas among which is the lack of cultivars adapted to each region of cultivation. This study was developed with the objective of identify castor’s cultivars with adaptation to the Paraíba Sertão. The study was conducted on Sítio Monte Alegre countryside of municipality of Pombal - PB, the experimental design was the of random blocks with seven treatments composed by BRS Northeastern; Paraguaçu BRS; BRS Energy; Guarany AL-2002, IAC 2028, IAC Guarany and IAC 80, with four replications were evaluated characteristics of growth, production, yield and oil content in the seeds. From the results was registrated a higher From the results recorded was greater value of the length of cluster IAC 80 and IAC cultivars in 2028, considering the averages of racemes up to the third order, the characteristics of mass and number of fruits per raceme was found that 80 IAC statistically outperformed the other cultivars, the higher oil content in seeds was observed in BRS Energy also gave higher oil yield among the seven cultivars. Nevertheless, we believe that further studies should be performedat different times and forms of management to identify with greater precision farming which best fits the region.<strong></strong></p>


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