Journal articles: 'Cauchois'

1

Bonnelle, Christiane. "Yvette Cauchois." Physics Today 54, no. 4 (April 2001): 88–89. http://dx.doi.org/10.1063/1.1372125.

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Maury, Virginie. "Quel avenir pour les fossés cauchois ?" Études Normandes 57, no. 3 (2008): 71–78. http://dx.doi.org/10.3406/etnor.2008.1743.

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André, J. M., M. Kefi, A. Avila, P. Couillaux, and C. Bonnelle. "Computer‐controlled Cauchois‐type x‐ray spectrometer." Review of Scientific Instruments 58, no. 3 (March 1987): 374–78. http://dx.doi.org/10.1063/1.1139291.

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Zhong, Z., C. C. Kao, D. P. Siddons, and J. B. Hastings. "Sagittal focusing of high-energy synchrotron X-rays with asymmetric Laue crystals. I. Theoretical considerations." Journal of Applied Crystallography 34, no. 4 (July 22, 2001): 504–9. http://dx.doi.org/10.1107/s0021889801006409.

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The ability of asymmetric Laue crystals to focus X-rays sagittally is demonstrated. The extent of such focusing is similar to that of sagittal focusing by a Bragg crystal, except for a factor related to the asymmetry angle. The anticlastic bending facilitates the use of inverse-Cauchois geometry in the meridional plane to provide better energy resolution and to increase the photon flux by an order of magnitude compared with traditional sagittal focusing with Bragg crystals. Furthermore, for sagittal focusing at X-ray energies above 30 keV, a Laue crystal is preferred to a Bragg crystal because the length of the beam's footprint on a Laue crystal, unlike on a Bragg crystal, is small and insensitive to energy. The conditions imposed on the asymmetry angle of the Laue crystal to achieve simultaneous sagittal focusing and inverse-Cauchois geometry in the meridional plane are derived for both single-crystal and double-crystal fixed-exit sagittally focusing monochromators.

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Mottana, Annibale, and Augusto Marcelli. "Fifty years since the first European synchrotron-radiation-derived XAFS spectrum (Frascati, 1963)." Journal of Synchrotron Radiation 20, no. 5 (August 17, 2013): 811–15. http://dx.doi.org/10.1107/s0909049513020323.

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The first absorption spectra recorded in Europe using synchrotron radiation as the X-ray source were theK-edge of Al and theLIII-edge of Cu taken at Frascati electron synchrotron in May 1963 by the French–Italian group comprised of Y. Cauchois, C. Bonnelle and G. Missoni.

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BULOT, THIERRY. "La production discursive des normes: centralité sociolinguistique et multipolarisation des espaces de référence." Journal of French Language Studies 16, no. 3 (October 11, 2006): 305–33. http://dx.doi.org/10.1017/s0959269506002547.

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L'article propose de questionner la production discursive des normes (les discours tenus sur les façons de parler d'autrui ou de soi-même) sous l'angle de la multipolarisation des espaces de référence. Il rend ainsi dans un premier temps compte d'enquêtes épilinguistiques effectuées dans trois configurations urbaines distinctes: 1. le discours sur l'accent de Rouen, forme linguistique identitaire et en même temps stigmatisée, 2. le discours sur le cauchois d'Yvetot (le cauchois est une des variétés du normand), et 3. le discours sur les langues à Rennes (entre autres, autour de la langue française et des langues bretonnes). Dans un second temps, après avoir rappelé les propositions théoriques concernant la spatialité en sociolinguistique urbaine, il présente une modélisation inédite de l'espace urbanisé pour tenter de mieux saisir les spécificités des dynamiques discursives impliquées par la culture urbaine. Il commente, en regard avec le concept de nivellement, les conceptualisations qui sont à la base d'une telle approche, et notamment la centralité linguistique comme processus producteur de normes et son corollaire quasi dichotomique, le confinement linguistique, comme processus vecteur de contre-norme.

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7

Chen, T. "On the dynamic theory of a focusing Cauchois spectrometer." Technical Physics 52, no. 6 (June 2007): 762–64. http://dx.doi.org/10.1134/s106378420706014x.

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8

Schmitz, J. R., H. Schulte-Schrepping, A. Berthold, S. Mourikis, and W. Schülke. "Performance of the Compton Spectrometer at HARWI/HASYLAB." Zeitschrift für Naturforschung A 48, no. 1-2 (February 1, 1993): 279–82. http://dx.doi.org/10.1515/zna-1993-1-252.

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Abstract Performance, resolution and spectral throughput both of the sagittally focusing monochromator and of the alternately installed two analysing systems, a Cauchois-type cylindrically bent crystal analyser for Compton-profile measurements, and a spherically bent crystal analyser for S(q, ω)-measurements, of the new Compton spectrometer at the HARWI (harter Röntgen Wiggler) of the DORIS storage ring are presented together with two typical applications.

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Soni, S. N. "Double L-shell ionization Kα satellites in electron-excited X-ray emission spectrum of metallic cobalt." Canadian Journal of Physics 74, no. 5-6 (May 1, 1996): 240–43. http://dx.doi.org/10.1139/p96-037.

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The Kα5−8 satellite spectrum of metallic cobalt, excited by a 25 keV electron beam was recorded photographically on a 40 cm bent crystal spectrograph of the Cauchois-type. Three new satellites were observed at 1.7747, 1.7691, and 1.7634 Å (1 Å = 10−10 m). These are identified as α5, α6, and α7, respectively, and assigned mainly to the 2D5/2 – 2D5/2, 2P3/2 – 2D5/2, and 2P1/2 – 2D3/2 transitions, respectively, of 1s−12p−2 – 2p−3 array.

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10

Bracon, Anna. "Les irréductibles Cauchois, ou l’histoire de l’innovation au domaine des Tilleuls." Vie sociale 22, no. 2 (2018): 59. http://dx.doi.org/10.3917/vsoc.182.0059.

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Baronova, E. O., M. M. Stepanenko, and N. R. Pereira. "Cauchois–Johansson x-ray spectrograph for 1.5–400 keV energy range." Review of Scientific Instruments 72, no. 2 (2001): 1416. http://dx.doi.org/10.1063/1.1324754.

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12

Seely, John F. "Hard x-ray spectrometer calibrations using a portable 120 kV x-ray source." Review of Scientific Instruments 93, no. 9 (September 1, 2022): 093529. http://dx.doi.org/10.1063/5.0099178.

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A Cauchois transmission-crystal hard x-ray spectrometer was calibrated by using a portable, compact, battery-powered tungsten x-ray source having 120 peak kilovoltage. The source emission region was characterized by recording high-resolution 2D x-ray images and was found to be composed of three emission regions having a 400 µm overall extent. The absolutely calibrated source fluence was measured by using a calibrated silicon drift detector and was in good agreement with the spectrum calculated by the SpekPy code. High-resolution spectra of the W Kα and Kβ lines in the 57–70 keV energy range were recorded on image plate detectors by the Cauchois spectrometer and provided excellent calibrations of the spectrometer’s dispersion and spectral resolution. The minimal effect of the source size in the spectral lines recorded on the spectrometer’s Rowland circle and the source-size broadening of the spatial lines recorded well beyond the Rowland circle were analyzed. The integrated reflectivity of the spectrometer’s quartz (101) crystal was measured by using the absolutely calibrated 59.318 keV W Kα1 spectral line emission and was in agreement with previous integrated reflectivity measurements performed at the National Institute of Standards and Technology. The well-characterized portable 120 kV x-ray source provides a convenient and cost-effective way to accurately calibrate the sensitivity, dispersion, spectral resolution, and source-size broadening in the spectra recorded by high-resolution x-ray spectrometers operating in the hard x-ray range. The absolutely calibrated source fluence can also be used to calibrate x-ray detectors at energies in the 40–100 keV energy range.

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Itou, M., N. Hiraoka, T. Ohata, M. Mizumaki, A. Deb, Y. Sakurai, and N. Sakai. "Present status of the Cauchois-type Compton Scattering Spectrometer at SPring-8." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 467-468 (July 2001): 1109–12. http://dx.doi.org/10.1016/s0168-9002(01)00592-7.

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Seely, John F., Lawrence T. Hudson, Glenn E. Holland, and Albert Henins. "Enhanced x-ray resolving power achieved behind the focal circles of Cauchois spectrometers." Applied Optics 47, no. 15 (May 13, 2008): 2767. http://dx.doi.org/10.1364/ao.47.002767.

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Sakurai, Y., N. Hiraoka, M. Itou, M. Mizumaki, T. Ohata, A. Deb, H. Toyokawa, M. Suzuki, and N. Sakai. "Background noise in a Cauchois-type high-resolution Compton scattering spectrometer at SPring-8." Journal of Physics and Chemistry of Solids 62, no. 12 (December 2001): 2099–102. http://dx.doi.org/10.1016/s0022-3697(01)00165-2.

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Sakurai, Y., and M. Itou. "A Cauchois-type X-ray spectrometer for momentum density studies on heavy-element materials." Journal of Physics and Chemistry of Solids 65, no. 12 (December 2004): 2061–64. http://dx.doi.org/10.1016/j.jpcs.2004.08.020.

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Jonnard, Philippe, and Christiane Bonnelle. "Cauchois and Sénémaud Tables of wavelengths of X-ray emission lines and absorption edges." X-Ray Spectrometry 40, no. 1 (January 2011): 12–16. http://dx.doi.org/10.1002/xrs.1293.

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18

Chen, T. "On geometrical aberrations of an X-ray beam experiencing Laue diffraction reflection in a Cauchois scheme." Technical Physics 52, no. 6 (June 2007): 759–61. http://dx.doi.org/10.1134/s1063784207060138.

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19

Deshpande, S. D., N. V. Moghe, V. B. Sapre, and C. Mande. "On the use of a silicon crystal in a Cauchois-type bent crystal X-ray spectrograph." Measurement Science and Technology 1, no. 11 (November 1, 1990): 1250–53. http://dx.doi.org/10.1088/0957-0233/1/11/020.

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20

Fagan, Charlotte, Niko Martell, and Skyler Larrimore. "Community Partnerships to Examine Local Housing Markets: A Neighborhood Profile." Undergraduate Journal of Service Learning & Community-Based Research 1 (November 22, 2012): 1–23. http://dx.doi.org/10.56421/ujslcbr.v1i0.105.

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In the spring of 2012, the Macalester College Urban GIS class embarked on a community-based research project using Geographic Information Systems (GIS) to visualize the lingering effects of the housing crisis on individual neighborhoods and communities. Our methodology was informed by a report by the Folwell Center for Urban Initiatives (2011). The Folwell report created a Housing Market Index that presents a block-by-block view of housing market strength in North Minneapolis (Folwell 2011). The Macalester College Urban GIS class applied the Housing Market Index (HMI) methodology to five additional neighborhoods in the Twin Cities metropolitan area. The full case study authors are Sidney Ainkorn, Camille Cauchois, Caroline Devany, Charlotte Fagan, Lora Hlavsa, Matthew Hyde, Sarah Krumholz, Skyler Larrimore, Niko Martell, Peter Mathison, Emily Sames, Kyle Strand, Robert Strickling, David Tomporowski, and Scott Vargo (accessible as of publication of Volume 1 of this journal at http://www.macalester.edu/academics/geography/courses/coursepages/Macalester_HMI_Report_2012_Intro.pdf). The following article is a casestudy of Powderhorn Park, one Minneapolis neighborhood profiled in our 2012 study.

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21

Xiao, Yan. "Cauchy’s Integral Formula and Its Applications in Calculating Integrals." Highlights in Science, Engineering and Technology 72 (December 15, 2023): 931–37. http://dx.doi.org/10.54097/a7vee109.

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Cauchy's Integral Theorem is a crucial mathematical theorem that describes the behavior of a complex function on a complex plane. This paper reviews the proof of Cauchy's integral theorem and formula, and the deduction of Cauchy's integral like Cauchy's integral formula with the point in the numerator is on the contour integral. This paper also explores Cauchy's integral when the function contains a non-analytic point inside the contour integral. The way is splitting the entire integral into the sum of several contour integrals equivalently, putting the function f(z) in the numerator into Laurent Series, then simplifying each contour integral using different methods including the derivative of Cauchy’s Integral. The result is the contour integral around point minus part of the Laurent Series of f(x) in the numerator. This paper shows a path to deal with Cauchy's integral when the function inside the contour integral is not holomorphic in the region.

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22

Guillemin, Alain. "Maupassant, les paysans cauchois et la République. De la situation de l'anthropologie politique devant les accidents de la création littéraire." Politix 4, no. 15 (1991): 25–31. http://dx.doi.org/10.3406/polix.1991.1463.

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23

Sierra, Ligia, Betty López, Bibiana Peña, Juan Esteban Ríos, and Nelson Castaño. "Estudio por resonancia magnética nuclear de sólidos del reforzamiento del caucho estireno-butadieno con sílices mesoporosas." Revista Facultad de Ingeniería Universidad de Antioquia, no. 24 (November 29, 2001): 104–14. http://dx.doi.org/10.17533/udea.redin.326333.

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En los cauchos reforzados con una carga como negro de humo o sílice, el conocimiento de las interacciones caucho/carga es importante para entender las propiedades físicas que determinan su reforzamiento. Este artículo presenta un estudio comparativo de las interacciones entre el caucho estireno butadieno (CEB) y la sílice, para una sílice precipitada tipo Ultrasil y sílices mesoporosas tipo MCM-41 preparadas por diferentes procedimientos, basado en resonancia magnética nuclear de sólidos: 1H MAS NMR, 13C MAS NMR, 13C CP/MAS, 29Si MAS y 29Si CP/MAS NMR.Una sílice mesoporosa, sintetizada bajo ciertas condiciones específicas mostró interacciones más fuertes con el caucho que la sílice Ultrasil VN3 comúnmente utilizada como carga reforzante del caucho. Pruebas mecánicas para el CEB vulcanizado con esta sílice inclican un aumento importante en el valor del alargamiento y en la resistencia al rasgado, a expensas de un aumento en el tiempo de vulcanización, cuando se compara con el CEB vulcanizado con Ultrasil.

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Urrego Yepes, William, Natalia Cardona Vásquez, Sandra Milena Velásquez Restrepo, and Carolina Abril Carrascal. "Review - Characterization of rubber compounds with post-industrial leather waste // Revisión - Caracterización de compuestos de caucho con residuos de cuero posindustrial." Prospectiva 15, no. 2 (July 6, 2017): 13–25. http://dx.doi.org/10.15665/rp.v15i2.776.

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Comúnmente los residuos industriales son dispuestos en vertederos o destinados para incineración, perdiendo con esto su uso potencial como materias primas en la fabricación de nuevos materiales. Las industrias del caucho y del cuero son consideradas como algunas de las más contaminantes a nivel mundial, sin embargo la industria del caucho ha demostrado su interés en el desarrollo de compuestos que involucren el uso de materiales clasificados como de desecho. Esta revisión abarca de manera general algunas características de residuos de cuero posindustrial, producidos durante el proceso de curtido químico con sales de cromo y los procesos de desbaste, así como las características y conceptos básicos para el análisis de compuestos de caucho aditivados con residuos de cuero. El tamaño de las partículas de cuero y su característica acida juegan un papel importante en los procesos de vulcanización y en las propiedades fisicoquímicas de los compuestos de caucho mezclados con este residuo posindustrial. La adición de residuos de cuero posindustrial genera en el caucho un efecto reforzante que puede ser aprovechado para aplicaciones en productos de mayor dureza que los cauchos no reforzados, sin embargo estos residuos generan una disminución en la capacidad de elongación del material.

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Xie, Chanyu. "Applications of Residue Theorem to Some Selected Integrals." Highlights in Science, Engineering and Technology 88 (March 29, 2024): 452–57. http://dx.doi.org/10.54097/mntnzw20.

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A complex variable is a quantity that contains both a real part and an imaginary part. Complex analysis is an application of mathematics that analyzes the features of functions of complex variables. Physics, engineering, and computer science are just a few of the scientific disciplines that benefit from complex analysis. In order to tackle issues that are challenging or impossible to resolve using only real variables, complex analysis is crucial. This paper introduces an important theorem in complex analysis, which is Cauchy’s residue theorem. A relative general expression for a complex integral along a simple closed contour is provided by Cauchy's residue theorem. Cauchy's residue theorem can be used to select an acceptable closed contour for the calculation of some unusual definite integrals that may be highly complex and challenging to solve using traditional methods. The residue at the function's isolated singularities is then established. In the formula that is subtracted in Cauchy's residue theorem, the values of the residues are extracted. The integral along a simple closed contour can then be represented in two pieces, in which one along the real axis and the other along the circle.

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Velásquez-Restrepo, Sandra Milena, Diego Hernán Giraldo-Vásquez, and Natalia Trinidad Zapata-Gallego. "Propiedades mecánicas bajo compresión y resistencia al desgaste abrasivo de piezas gruesas de caucho acrilonitrilo." REVISTA FACULTAD DE INGENIERÍA 24, no. 40 (September 10, 2015): 67. http://dx.doi.org/10.19053/01211129.3849.

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Se estudió la variación de las propiedades mecánicas bajo compresión uniaxial y el desgaste abrasivo en la sección transversal de piezas gruesas de caucho acrilonitrilo (NBR) reforzadas con negro de humo, teniendo en consideración que en este tipo de piezas las propiedades obtenidas durante la vulcanización no son homogéneas, debido a la baja difusividad térmica de los cauchos. Se realizaron ensayos de desgaste abrasivo en seco, buscando identificar la relación entre la resistencia al desgaste abrasivo y las propiedades mecánicas en compresión, como el módulo elástico y la dureza. Se evaluaron muestras en estado de entrega tras el proceso de vulcanización, luego expuestas al ambiente durante tres meses y, posteriormente, envejecidas en una cámara UV. El envejecimiento ambiental rigidiza los materiales estudiados, pero disminuye la resistencia al desgaste del material proveniente del núcleo de las piezas. El envejecimiento UV disminuyó el módulo elástico, pero su efecto sobre la resistencia al desgaste depende del estado de envejecimiento previo. La dureza no presentó una relación directa ni con el módulo elástico ni con la resistencia al desgaste, por lo cual no puede usarse como propiedad para la selección de cauchos NBR sometidos a desgaste abrasivo. La información obtenida permite generar criterios para el diseño de componentes basados en este tipo de cauchos.

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Castellini, Giorgio. "SCIDMENIDI AFROTROPICALI DEL MUSEO DI ZOOLOGIA DELL’UNIVERSITÀ DI ROMA “LA SAPIENZA” (COLEOPTERA, SCYDMAENIDAE)." Fragmenta Entomologica 39, no. 2 (October 31, 2007): 225. http://dx.doi.org/10.4081/fe.2007.121.

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Sono esaminati alcuni lotti di esemplari conservati nelle collezioni del Museo di Zoologia dell’Università di Roma “La Sapienza”. In premessa viene svolta qualche breve riflessione sull’incertezza delle descrizioni degli autori “classici” e sugli errori che da esse possono nascere; vengono altresì esposti i criteri seguiti nell’accertamento delle sinonimie. Si descrivono le seguenti nuove specie: Cephennodes glabella, Cephennomicrus zoiai, Euconnus brignolii, E. calcagnoi, E. carpanetoi, E. confertus, E. cottarellii, E. patrizii, E. quadrarius, E. sica, E. vignai. Si stabiliscono le seguenti nuove sinonimie: Scydmaenus trifidus Franz, 1961 = paratrifidus Franz, 1980 = trifidiformis Franz, 1980; Scydmaenus steelae Lhoste, 1939 = watsae Cauchois, 1955 = ugandae Franz, 1962 = ifensis Franz, 1977 = pseudoifensis Franz, 1987 = pseudowatsae Franz, 1990; Scydmaenus abyssinicus (Reitter, 1880) = pseudoantennatus Franz, 1979 = antennatus ripicola Franz, 1980; Scydmaenus vicinus Franz, 1961 = medleri Franz, 1977; Scydmaenus gemellus (Reitter, 1882) = gemelloaffinis Franz, 1982. 251

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Arias-Jaramillo, Maria Isabel, José Renivaldo Dos Santos, Leonardo Lataro Paim, and Giovanni Barrera-Torres. "Caracterización mecánica de mezclas de caucho natural y residuos de celulosa originados en la industria automotriz con enfoque en el sector del calzado." Ingeniería 28, no. 2 (April 29, 2023): e17229. http://dx.doi.org/10.14483/23448393.17229.

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Contexto: Esta publicación muestra un potencial uso para los residuos provenientes de la industria automotriz, en este caso residuos originados en el proceso de fabricación de empaques y sellos para motocicletas, que en la actualidad no tienen un uso final. Además, debido a la capa superficial de caucho de altas prestaciones, presentan un proceso de degradación extenso, lo cual constituye un factor perjudicial para el medio ambiente y contribuye al calentamiento global. Método: Primero se realizó la trituración de los residuos, posteriormente su tamizado y selección por granulometría, y por último se realizó una mezcla con el caucho natural a través del masticado en cilindros abiertos para obtener el máster, que fue vulcanizado en un molde de suela para zapatos. El producto final fue caracterizado mecánicamente con las técnicas tensión-elongación, desgaste, dureza, flexión y rasgadura. Resultados: La mezcla obtenida abre una ventana hacia el diseño de productos utilizando residuos de sellos y empaques para motor. Será posible diseñar otras propuestas para cauchos funcionalizados, orientados al desarrollo de aplicaciones de calzado ecológico. Conclusiones: La mezcla de residuos de celulosa provenientes del sector de sellos para motor con caucho natural proyecta la reducción del impacto negativo generado por estos residuos y propone una economía circular, en este caso con el desarrollo de materia prima para el sector del calzado.

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Moscoso-Saquicela, Juan Diego, and Beatriz Rivela Carballal. "Estrategias de circularidad para la reducción de impactos: diseño de una mezcla asfáltica caliente con caucho reciclado en la provincia del Azuay." Green World Journal 6, no. 2 (July 27, 2023): 76. http://dx.doi.org/10.53313/gwj62076.

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En Ecuador se desechan anualmente más de 2.400.000 neumáticos, muchos de ellos terminan en terrenos baldíos, orillas de carreteras, o cuerpos de agua, por consiguiente, se genera contaminación; esta cantidad va en aumento cada año. Este tipo de cauchos de neumáticos requiere mucho tiempo para degradarse naturalmente, por lo que permanecen durante largos lapsos en el medio ambiente debido a su compleja composición reticulada, y a los aditivos utilizados durante la fabricación. Para realizar mezclas asfálticas en caliente, los áridos ocupan al menos tres cuartas partes de su volumen y deben regirse a ciertas especificaciones de calidad. Actualmente, los que cumplen con estas características en la provincia del Azuay son escasos y, por ende, su costo ha aumentado; además, el parque automotor en los últimos tres años en Cuenca ha crecido en un 13% y cada año continúa en aumento, ocasionando que pavimentos de asfalto se deterioren en tiempos cortos. Por lo anteriormente expuesto, se ha realizado una investigación experimental con el objetivo de efectuar la combinación de áridos que forman parte fundamental en la realización de mezcla asfáltica en caliente, con polvo de caucho en distintas dosificaciones, mismo que se obtendrá del reciclado de llantas que han cumplido su vida útil; de estas combinaciones se han identificado aquellas en las que se mejora la calidad de mezcla asfáltica sin aditivo, disminuyendo su costo de producción y aumentando la vida útil, de manera que se reduzca la contaminación del medio ambiente y se mejore el rendimiento de pavimentos en la provincia del Azuay. Con esta investigación se obtuvo que, al añadir el polvo de caucho en la mezcla asfáltica, el peso específico “bulk” es levemente inferior al del asfalto patrón, que está ligado con el aumento del volumen de vacíos. La estabilidad de las mezclas asfálticas modificadas con polvo de caucho es inferior en todas las dosificaciones de dicho material. El polvo de caucho reciclado se incorporó fácilmente en la granulometría de la fórmula patrón obteniendo una mezcla homogénea y trabajable.

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Chen, Xin, Yuxin Li, and Zhuolin Zhu. "Cauchy's Criterion for Non-negative Hyperbolic Series." Highlights in Science, Engineering and Technology 85 (March 13, 2024): 38–44. http://dx.doi.org/10.54097/0gqmmw76.

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Hyperbolic number plane constitutes a significant area of algebraic research, with their properties finding wide-ranging applications across various fields. Meanwhile, Cauchy's criterion, as an effective tool for determining series convergence, has also been extensively utilized in the study of hyperbolic numbers within mathematical analysis and practical problem-solving, offering valuable insights and practical applications. The paper conducted an in-depth exploration of the non-negative hyperbolic plane, applying the Comparison test and further investigating the Cauchy's criterion on the non-negative hyperbolic plane. Through the application of the comparison test, the paper have arrived at an important conclusion: when considering two numbers, and , in the non-negative hyperbolic complex plane, and , the convergence of implies the convergence of , and divergence of implies the divergence of . Furthermore, through a detailed analysis of Cauchy’s criterion, the paper also discovered a key finding: when a certain number r in the non-negative hyperbolic plane satisfies , if , the corresponding infinite series converges, whereas if , the series diverges. The paper not only pushes the frontiers of mathematical theory but also unlocks fresh avenues for interdisciplinary exploration. By delving into uncharted territories, it expands our understanding of mathematical principles and their applicability across diverse fields. Moreover, it fortifies mathematics' central role in addressing real-world challenges, providing essential tools and insights. As a cornerstone for future research, this work paves the way for innovative mathematical investigations and their practical applications, fostering a deeper symbiosis between theory and the real world.

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Hillis, Ken. "A History of Commissions." Articles 21, no. 1 (November 6, 2013): 46–60. http://dx.doi.org/10.7202/1019246ar.

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Early planning in Ottawa takes the form of a piece-meal architectural admixture. On paper there remains a series of largely unrealized proposals designed to promote an image symbolic of national identity. Successive federal and municipal agencies worked to various degrees of success to augment Ottawa's appearance and amenity. British planner Thomas Adams' departure from, and the subsequent demise of the Federal Commission of Conservation in the early 1920's marked a low point in efforts to evolve comprehensive planning strategies. The career of Noulan Cauchon, first head of the Ottawa Town Planning Commission, aimed to keep the notion of planning alive in the city. Certain of his little-acknowledged proposals bear remarkable similarity to the pre-W.W. II planning efforts of MacKenzie King and Jacques Greber. Cauchon's legacy endures in proposals which appear to have been incorporated into federal planning activities during the post-war era.

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Wittry, D. B. "Crystal Spectrometers and Monochromators in Microanalysis." Microscopy and Microanalysis 5, S2 (August 1999): 550–51. http://dx.doi.org/10.1017/s143192760001607x.

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An x-ray spectrometer is actually a scanning monochromator because two conditions must be satisfied, namely: (1) nλ, = 2d sinθ and (2) θI{= θR to within the rocking curve of the crystal 2Δθ. Before Castaing (B.C.) there were four known types of focussing monochromators, namely: Johann, Johansson, Cauchois, and von Hamos. Castaing was fortunate in having Andre Guinier (well known for his work in x-ray crystallography) as his thesis advisor. Thus, he wisely chose to use a spectrometer of the Johansson type. Had he used a flat crystal spectrometer, the result would have been unsatisfactory and the history of microanalysis would have been significantly different. Many of the spectrometers that were used in the early instruments were either of the Johansson type, in which the crystal planes are curved to a radius of 2R and the surface has a radius of R, the focal circle radius. This is sometimes called exact focussing because rays in the plane of the focal circle converge exactly to a point focus. For simpler construction, the Johann crystal which has the surface parallel to the atomic planes (also curved to a radius of 2R) was sometimes used. While both types provide one-dimensional focussing, the Johansson type is preferred because the effective width of the crystal can be greater.In addition to the type of geometry used, early instruments developed after Castaing (A.C) also had variations in the mechanism of the crystal movement. Many used a relatively simple mechanism with the crystal and detector moving about a fixed center for the focal circle as shown in Fig. 1A. Some later instruments used curved crystals that were fixed in position, and scanning was accomplished either by rotating the crystal as in Fig. 1B or by a mechanism that flexed the crystal and changed the radius of the focal circle as in Fig. 1C. The most satisfactory arrangement and the one subsequently adopted by most manufacturers of commercial microprobes utilized a linear motion of the crystal carriage with a provision for tilting the crystal so that the focal circle always passed though the x-ray source as shown in Fig. 1D. If the detector moves so that it remains on this focal circle, its motion is along a leaf-shaped curve. With this design it is easy to have a readout proportional to wave length.

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Terpstra, Nicholas. "Local Politics and Local Planning: A Case Study of Hamilton, Ontario, 1915-1930." Articles 14, no. 2 (August 15, 2013): 114–28. http://dx.doi.org/10.7202/1017988ar.

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A study of the goals and strategies of planning in Hamilton shows that concentration of professional reports and civic planning boards alone is too limited to assess the local fate of the city planning movement and its constituent emphases of beautification and efficiency. The municipal advisory Town Planning Board (TPB) appointed in 1915 and the report commissioned from engineer-planner Noulan Cauchon in 1917 reflected the co-existence of the two emphases among Hamilton planning advocates. Post-war changes in the composition of the TPB and the development of ad hoc political alternatives to zoning reduced the TPB's political influence and led by 1923 to its abandonment by prominent beautifiers. While the ineffectual advisory TPB continued until completion of its zoning plan in 1928, the beautifiers moved to administrative parks and roads boards whose provincially legislated powers and budgets made them more effective vehicles for the realization of long-standing plans which had been re-iterated in Cauchon's report and pursued unsuccessfully through the TPB. By 1930, the efficiency planners had disappeared while the beaufifiers had overcome political challenges to their plans for scenic boulevards and a major expansion of the park system.

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Liu, Peiyao, Yuzhe Ning, Qianhui Tang, and Enhe Zhang. "The Contour Integral Approach to Several Improper Integrals with Hyperbolic Functions." Highlights in Science, Engineering and Technology 49 (May 21, 2023): 326–30. http://dx.doi.org/10.54097/hset.v49i.8527.

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In the field of Complex Analysis, it is acknowledged that Cauchy’s Residue Theorem plays an essential role, which allows the calculation of complex integrals by adding up the residues of singularities in the complex plane. Many mathematicians have developed various theorems out of Cauchy’s Residue Theorem and have solved numerous problems using Cauchy’s Residue Theorem, but there are still a lot more studies needed. Thus, this paper focuses on examining Residue Theorem deeply by introducing singularity point and residue, combining Laurent series and complex integral, then deducting Cauchy’s Residue Theorem. This paper then concentrates on solving four unique complex integrals to illustrate Cauchy’s Residue Theorem by analyzing the graph of integration, reformatting the integrals, applying theorems or tricks, integrating the reformatted integrals, and simplifying the results. As a result, this paper not only presented a deeper analysis of the deduction of Cauchy’s Residue Theorem, but also presented the solutions towards four previously unsolved complex integrals. The deduction of Cauchy’s Residue Theorem and the four complex analysis problems have important applications for dealing with integrals associated with hyperbolic functions and lead to future research in other areas of mathematics and physics.

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35

Rey, J. C. "Décès du professeur Jean Cauchoix." Revue de Chirurgie Orthopédique et Traumatologique 96, no. 4 (June 2010): S117—S118. http://dx.doi.org/10.1016/j.rcot.2010.03.035.

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Zheng, Q. S., and K. C. Hwang. "On Cauchy’s Mean Rotation." Journal of Applied Mechanics 59, no. 2 (June 1, 1992): 405–10. http://dx.doi.org/10.1115/1.2899534.

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In this paper, a new treatment of Cauchy’s measure of mean rotation in continuum mechanics is given, a representation theorem is proved, and the connection between Cauchy’s measure and the finite rotation tensor is established. Cauchy’s and Novozhilov’s measures of mean rotation are compared.

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Katz, Karin U., and Mikhail G. Katz. "Cauchy's Continuum." Perspectives on Science 19, no. 4 (December 2011): 426–52. http://dx.doi.org/10.1162/posc_a_00047.

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Du, Jun, Sicen Lu, and Tianyi Yang. "Cauchy Integral Theorem and its Applications." Journal of Physics: Conference Series 2386, no. 1 (December 1, 2022): 012017. http://dx.doi.org/10.1088/1742-6596/2386/1/012017.

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Abstract Italian mathematicians Girolamo Cardano and Raphael Bombelli made the initial dis covery of complex numbers somewhere in the 16th century while attempting to solve a algebra icquestion. The relevance of complex analysis in mathematics, physics, and engineering is incre asing now after hundreds of years of growth, particularly in the areas of algebraic geometry, flu id dynamics, quantum mechanics, and other relatedtopics. This paper discusses three aspects of integration of complex functions, properties and valuation of complex line integral, and Cauchy’s Theorem and its applications. It mainly gives a detailed definition of complex integrals, clarifies the properties of operations such as indefinite integrals and integral paths, and briefly lists several applications of Cauchy’s theorem and proves them. Several theorems are proved from Cauchy’s theorem, Local existence of primitives and Cauchy’s theorem in a disc, and Cauchy’s integral formulas.

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Dubousset, Jean. "Éloge de Jean Cauchoix (1912-2009)." Bulletin de l'Académie Nationale de Médecine 194, no. 7 (October 2010): 1207–16. http://dx.doi.org/10.1016/s0001-4079(19)32202-2.

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Yamamuro, Kouji. "Stochastic complex integrals associated with homogeneous independently scattered random measures on the line." Probability and Mathematical Statistics 39, no. 1 (June 10, 2019): 219–36. http://dx.doi.org/10.19195/0208-4147.39.1.14.

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Complex integrals associated with homogeneous independently scattered random measures on the line are discussed. Theorems corresponding to Cauchy’s theorem and the residue theorem are given. Furthermore, the converse of Cauchy’s theorem is discussed.

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Spalt, Detlef D. "Cauchys Kontinuum." Archive for History of Exact Sciences 56, no. 4 (June 1, 2002): 285–338. http://dx.doi.org/10.1007/s004070100047.

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Garcia, Stephan Ramon, and William T. Ross. "Approaching Cauchy’s Theorem." PRIMUS 27, no. 8-9 (December 12, 2016): 758–65. http://dx.doi.org/10.1080/10511970.2016.1234525.

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Grząślewicz, A., Z. Powązka, and J. Tabor. "On Cauchy's nucleus." Publicationes Mathematicae Debrecen 25, no. 1-2 (July 1, 2022): 47–51. http://dx.doi.org/10.5486/pmd.1978.25.1-2.07.

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Ribeiro, Pedro Manuel Macedo. "Al-Cauchy’s Theorem." Mathematical Intelligencer 40, no. 3 (July 9, 2018): 1. http://dx.doi.org/10.1007/s00283-017-9776-0.

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Yuan, Mingyu. "Comparison of the Cauchy Integral Formula and Residue Theorem on the Calculation of Definite Integrals." Highlights in Science, Engineering and Technology 49 (May 21, 2023): 266–71. http://dx.doi.org/10.54097/hset.v49i.8517.

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Integration is a useful mathematical tool which is applied in a wide range of studies and assists people to solve many problems. Despite methods of real analysis, complex integrations in complex analysis are more beneficial and more convenient than real integrations under certain circumstances. Cauchy’s Residue Theorem and Cauchy Integral Formula are two methods used to solve complex integrals. Cauchy’s Residue Theorem helps to solve complex integrals via the calculation involving singular points, whereas Cauchy Integral Formula is implemented to solve complex integrals by finding out poles enclosed by the contour. Herein, the comparison and analysis of the process of solving both real and complex integrations between Cauchy’s Residue Theorem and Cauchy Integral Formula are demonstrated through sample questions involving exponential integrations and polynomial integrations. This passage also includes definitions for Cauchy’s Residue Theorem, Cauchy Integral Formula, corollary of Cauchy Integral Formula, steps and solutions of sample contour integral questions.

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MAHALLE, VIDYA N., SWATI S. MATHURKAR, and RAJENDRA D. TAYWADE. "SOME NEW APPLICATIONS OF LAPLACE-WEIERSTRASS TRANSFORM." Journal of Science and Arts 21, no. 1 (March 3, 2021): 15–20. http://dx.doi.org/10.46939/j.sci.arts-21.1-a02.

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This paper is devoted to some new applications of Laplace-Weierstrass transform (i.e., for solving two dimensional diffusion equations). Solution of Cauchy’s linear differential equation is also given. Some results are also given which are required for solving Cauchy’s linear differential equation.

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Li, Yifeng, Xuehui Wang, Xueying Wang, and Yichen Xiao. "Applications of Residue Theorem to Four Distinct Kinds of Definite Integrals." Highlights in Science, Engineering and Technology 49 (May 21, 2023): 320–25. http://dx.doi.org/10.54097/hset.v49i.8525.

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Cauchy’s residue theorem gives a relative general form for complex integral along a simple closed contour. With the help of Cauchy’s residue theorem, appropriate closed contour can be chosen to calculate some abnormal definite integrals that might be very complicated and are difficult to solve by conventional methods. This paper focuses on four distinct kinds of definite integrals, including the integrals involving sine and cosine functions, polynomial functions, exponential functions, and logarithmic functions. The contour chosen are basically a sector of circle that involves one or several isolated singularities of the function. Then the residue at the isolated singularities of the function is calculated. The value of the residues is substituted in the formula that is deducted in the Cauchy’s residue theorem. Then the integral along the simple closed contour can be expressed in two parts, in which one is along the real axis while the other is along the circle. This study demonstrates that the Cauchy’s residue theorem is superior to the conventional real analysis methods.

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Sano, Kimirô. "The derivatives of cauchy's kernel and cauchy's estimate in clifford analysis." Complex Variables, Theory and Application: An International Journal 11, no. 3-4 (July 1989): 203–13. http://dx.doi.org/10.1080/17476938908814339.

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Egahi, M., I. O. Ogwuche, and J. Ode. "Deriving Cauchy's Integral Formula Using Division Method." NIGERIAN ANNALS OF PURE AND APPLIED SCIENCES 1 (March 14, 2019): 259–64. http://dx.doi.org/10.46912/napas.32.

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Cauchy's integral theorem and formula which holds for analytic functions is proved in most standard complex analysis texts. The nth derivative form is also proved. Here we derive the nth derivative form of Cauchy's integral formula using division method and showed its link with Taylor's theorem and demonstrate the result with some polynomials.

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Sahari, Mohamed Lamine. "On the Complex Dynamics of Continued and Discrete Cauchy’s Method." Journal of Nonlinear Dynamics 2015 (October 8, 2015): 1–9. http://dx.doi.org/10.1155/2015/162818.

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Let p be a complex polynomial of fixed degree n. In this paper we show that Cauchy’s method may fail to find all zeros of p for any initial guess z0 lying in the complex plane and we propose several ways to find all zeros of a given polynomial using scaled Cauchy’s methods.

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Journal articles on the topic 'Cauchois'

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