bluuebunny/crossref_metadata_2025_split huggingface dataset:
Über Fluchtliniennomogramme mit einer algebraischen Kurve vierter Ordnung als Skalenträger
Authors: Wodicka R. 
Published: May 2007

AbstractEin Fluchtliniennomogramm mit vier Skalen für je eine reelle Veränderliche stellt zwei funktionale Verknüpfungen dieser vier Veränderlichen dar. Die Soreauschen Gleichungen geben diese beiden Verknüpfungen in impliziter Form. Liegen die vier Skalen des Nomogramms auf ein und derselben algebraischen Kurve vierter Ordnung, die nicht oder in nicht mehrfach zählende Bestandteile zerfällt, so können die beiden Verknüpfungen auch mit Hilfe des Abelschen Theorems für die Abelschen Integrale erster Gattung der algebraischen Kurve vierter Ordnung angegeben werden.
Über das dreidimensionale Problem der Elastokinetik
Authors: Teodorescu P. P. 
Published: May 2007

AbstractEs wird eine Formulierung in Spannungen für das kinetische dreidimensionale Problem der homogenen, isotropen und linear elastischen Körper angegeben. Damit kann man das Problem der stationären Schwingungen und das Problem der Eigenschwingungen für endliche Bereiche in Parallelepipedform, sowie für alle unendliche Bereiche, die sich aus diesen ergeben, wenn eine oder mehrere Flächen ins Unendliche geworfen werden, (z. B. für den Halbraum, den Achtelraum, das Band u. s. w.) lösen.
Verschiedene Verfahren zur Gewinnung von Schranken für die Schwingungsdauer bei freien, ungedämpften Schwingungen
Authors: Müller P. C. 
Published: May 2007

AbstractFür die Schwingungszeit nichtlinearer, freier, ungedämpfter Schwingungen werden mit Hilfe verschiedener Näherungsverfahren obere und untere Schranken gewonnen. Es wird gezeigt, daß für gewisse Rückführfunktionen die Schranken beliebig verbessert werden können.
Die Stabilität elliptischer Zylinderschalen bei reiner Biegung
Authors: Weinitschke H. J. 
Published: May 2007

AbstractDas nichtlineare Problem der reinen Biegung dünnwandiger Rohre mit gerader Achse und elliptischem Querschnitt wird auf der Grundlage einer von E. Reissner entwickelten Theorie langer zylindrischer Rohre behandelt. Das sich dabei ergebende Randwertproblem wird einmal durch Entwicklung nach einem Krümmungsparameter, zum anderen durch Reduktion auf ein System nichtlinearer Integralgleichungen gelöst. Spannungen und Deformationen werden in Abhängigkeit von dem am Rohrende angebrachten Moment berechnet, insbesondere werden das kritische Moment und die kritische Krümmung bestimmt, für die das Rohr infolge der Querschnittsverflachung instabil wird. Die Behandlung umfaßt sowohl Biegung um die große Halbachse, als auch Biegung um die kleine Halbachse.
An Iterative Linear Prediction Method
Authors: Hjorth U. 
Published: May 2007

AbstractLet ξ(t) be a (possibly non stationary) stochastic process that we want to predict. When ξ(t) has mean zero and known covariance function a method is given for constructing a sequence of predictors, each predictor being a finite linear combination of observed process values. Asymptotic convergence to the optimal linear predictor is proved and very rapid convergence is indicated by an example.Then the unbiased linear prediction problem is shown to be equivalent to conventional prediction of a transformed process with mean zero and thus solvable by the iterative method.Prediction when the mean is replaced by a sum of functions with random coefficients is touched upon.In a numerical study is shown how varying knowledge about the process mean can affect the prediction errors.
Equations of Motion of Nonholonomic Dynamical Systems in Poincaré‐Četaev
Authors: Ghori Q. K. , Hussain M. 
Published: May 2007

AbstractDie vorliegende Arbeit behandelt eine Erweiterung der Poincaréschen Bewegungsleichungen für dynamische Systeme, deren Bewegung nichtlinearen nichtholonomen Zwangsbedingungen vom Četaev‐Typ unterworfen ist. Bei der Ableitung der Bewegungsgleichungen werden die Methoden von Chaplygin, Hamel und Appel verwendet, und es wird die äquivalenz der mit den verschiedenen Methoden gewonnenen Ergebnisse nachgewiesen. Am Beispiel einer auf einem Drehtisch rollenden Kugel werden die verschiedenen Formen der Bewegungsgleichungen vorgeführt.
Linearized Solutions for Circular Jets
Authors: Pozzi A. , Bianchini A. 
Published: May 2007

AbstractIn dieser Arbeit wird unter Bezugnahme auf das Schlichtingsche Modell die allgemeine linearisierte Lösung für das Problem eines kreisrunden zähflüssigen Strahls vorgestellt. Die sie darstellenden Ausdrücke enthalten eine nicht spezifizierte Funktion F, welche die Störung kennzeichnet, die das zugrunde gelegte Modell erfährt.
Free Convection Effects on the Oscillatory Flow of an incompressible, Electriccally Conducting, Viscous Fluid past an Infinite, Vertical Porous Plate with Constant Suction and the Transverse Magnetic Field
Authors: Soundalgekar V. M. 
Published: May 2007

AbstractAn analysis of a two‐dimensional, unsteady flow of an incompressible, viscous, electrically conducting fluid past an infinite, vertical, porous plate is carried out under the following assumptions: (i) the suction velocity normal to the plate is constant (ii) the free stream velocity oscillates in time about a constant mean (iii) the plate temperature is constant (iv) the difference between the temperature of the plate and the free stream is moderately large causing the free convection currents (v) the transverse magnetic field (vi) the magnetic Reynolds number is very small and hence the induced magnetic field is negligible.Approximate solutions to the coupled, non‐linear equations governing the flow are derived. The mean flow is described in a separate paper, whereas the expressions for the transient velocity, the transient temperature, the amplitude and the phase of the skin‐friction and the rate of heat transfer are derived in this paper. They are shown graphically. During the course of discussion, the effects of different values of ± G (Grashof number), P (Prandtl number), ± E (Eckert number), M (Magnetic field parameter) and ω (frequency) are discussed quantitatively. Also the effects of heating (G < 0) or cooling (G > 0) of the plate in the presence of the magnetic field are discussed. In sec. 3, the conclusions are presented.
On the Asymptotic Structure of Turbulent Transfer Coefficients
Authors: Criminale W. O. 
Published: May 2007

AbstractRather than use the concept of eddy coefficients, the analysis presented here is an attempt to provide an alternative method for investigating the transport of scalar quantities due to turbulence near a solid boundary. The basis of the theoretical model stems from the concept put forth by Sternberg (1962, 1965) for the viscous sublayer and hence the the results are considered valid in the limiting sense as the boundary is approached. It is possible to directly evaluate turbulent transfer, and thereby an indication of the structure in this region is provided. Under the assumption of passivity, only the boundary layer over a flat plate is considered quantitatively in detail but extension to cases with more complexity is equally applicable. It is found that the three‐dimensionality is essential to the fluctuating field within the molecular sublayer and even here the turbulent transfer becomes negative just before vanishing at the boundary. The combined sum of the turbulent and the molecular transfer is, however, positive.
Schwache Konvergenz von Multipolentwicklungen
Authors: Wünsche A. 
Published: May 2007

AbstractEs werden Multipolentwicklungen der Strom‐ und Ladungsdichte und des elektromagnetischen Feldes für den gesamten auch mit Quellen belegten Raum betrachtet, die auf Reihen singulärer verallgemeinerter Funktionen führen. Mit der Theorie der verallgemeinerten Funktionen wird gezeigt, daß diese Multipolentwicklungen für beliebige finite, aber auch für schnell im Unendlichen verschwindende Quellverteilungen über Räumen von gewissen auf dem Träger der Verteilungen analytischen Funktionen schwach konvergieren. Im Falle nichtfiniter im Unendlichen schnell verschwindender Verteilungen sind dies Räume ganzer analytischer Funktionen von nicht zu hoher Wachstumsordnung, wobei die Ordnung in Abhängigkeit von der Schnelligkeit des Verschwindens der Verteilungen im Unendlichen bestimmt wird. Die Multipolentwicklungen der Strom‐ und Ladungsdichte gehen nach räumlicher Fourier‐Transformation in Taylor‐ Reihenentwicklungen der Fourier‐ Transformierten der Strom‐ und Ladungsdichte nach dem Wellenvektor über. Im Zusammenhang mit der schwachen Konvergenz der Multipolentwicklungen werden Fragen der Reduzibilität der eingeführten Momente und der Ausreduktion nach irreduziblen Darstellungen der dreidimensionalen orthogonalen Gruppe behandelt.
Thermal Response in Laminated Composites
Authors: Manaker A. M. , Horvay G. 
Published: May 2007

AbstractA semi‐infinite laminated composite in which the matrix and filler material are aligned parallel to the heat propagation direction is considered. At x = 0, there is applied a harmonic boundary heat flux of y‐periodicity conforming to the periodicity of the layered composite. The Fourier integral solution is decomposed into normal modes. It is shown that this decomposition (which necessitates solution of a complex eigenvalue problem) permits expansion of complex boundary excitation into complex eigenfunctions, the Fourier coefficients being determined by the method of residues. A composite consisting of a nickel matrix and an aluminium filler is considered as a representative example. Real and imaginary parts of the calculated boundary flux are shown to approach the prescribed values, 1 and 0, respectively. The ensuing temperature distribution throughout the composite is also illustrated.
Bestimmung symmetrischer transsonischer Profilströmungen mittels Legendre‐Transformation
Authors: Strehmel K. 
Published: May 2007

AbstractDie nichtlineare partielle Differentialgleichung zweiter Ordnung für das Geschwindigkeitspotential in der physikalischen Ebene wird durch die Legendre‐Transformation in eine lineare partielle Differentialgleichung zweiter Ordnung für das konjugierte Potential in der Hodographenebene überführt. Diese Differentialgleichung wird dann derart modifiziert, daß Partikulärlösungen ein mathematisches Modell für ebene stetige transsonische Profilströmungen liefern. Die Anströmung erfolgt dabei unterkritisch.
Iterative Berechnung des elektrostatischen Potentials in der Umgebung offener Flächen
Authors: Ehrich Matthias 
Published: May 2007

AbstractDie Lösung des nachstehend behandelten gemischten Randwertproblems läßt sich als Summe der Lösungen einer Folge von Randwertaufgaben erster und zweiter Art iterativ bestimmen. Dazu wird das auf einem Abschnitt der Hüllfläche vorgegebene Potential über dieses Gebiet hinaus mittels einer beliebigen stetigen Funktion fortgesetzt. Die Durchführung des Iterationsverfahrens in einem Koordinatensystem, das eine Separation der Laplace‐Gleichung zuläßt, zeigt die Unabhängigkeit der resultierenden Potentialbeziehung vom Verlauf der genannten Funktion.
Die numerische Behandlung der linearen Stabilitätstheorie allgemeiner Rotationsschalen
Authors: Başar Y. 
Published: May 2007

AbstractDie lineare Stabilitätstheorie von Rotationsschalen wird zunächst durch ein System gekoppelter Differentialgleichungen erster Ordnung beschrieben, das dann mit dem Mehrstellenverfahren numerisch behandelt wird. Zur Lösung der unsymmetrischen Eigenwertaufgabe wird die Methode der inversen Iteration verwendet. Die Anwendung des Verfahrens zur Ermittlung der kritischen Last wird anhand von Beispielen erläutert.
Die Konstruktion eines asymptotischen Fundamentalsystems für eine lineare Differentialgleichung vom hydrodynamischen Typ
Authors: Roos H.‐G. 
Published: May 2007

AbstractIn der vorliegenden Arbeit wird ein Wendepunktsproblem für eine lineare Differentialgleichung sechster Ordnung behandelt. In einem äußeren und einem inneren Gebiet werden formale Lösungen konstruiert, und deren asymptotischer Charakter wird nachgewiesen. Damit wird für die bei der Untersuchung der Stabilität einer thermisch geschichteten Poiseulle‐Strömung in bezug auf kleine Störungen grundlegende Differentialgleichung erstmalig für eine beliebige Prandtl‐Zahl ein vollständiges asymptotisches Fundamentalsystem angegeben.
Spektralanalyse einer Klasse von periodisch instationären stochastischen Impulsprozessen
Authors: Renger A. 
Published: May 2007

AbstractEs wird das Frequenzangebot von stochastischen Impulserregungen mit zufallsgestörtem periodischem Takt statistisch beschrieben. Dabei erweist es sich als notwendig, den Distributionenkalkül zu benutzen.
Polymerization of drying oils. III. Some observations on reaction of maleic anhydride with methyl oleate and methyl linoleate
Authors: Teeter H. M. , Geerts M. J. , Cowan J. C. 
Published: May 2007

SummaryAdducts of maleic anhydride with methyl oleate, methyl linoleate, and monomeric distillate have been prepared. Reaction of the adducts with ethylene diamine gave a linear, soluble polyamide in the case of the oleate adduct, but gelation occurred at a low degree of reaction with other adducts. The linoleate adduct was separated into monomeric and polymeric components. It is suggested that this polymeric component is responsible for the rapid gelation of polyamides from the adducts of methyl linoleate and monomeric distillate.
Mustard seed processing: Bland protein meal, bland oil, and allyl isothiocyanate as a by‐product
Authors: Mustakas G. C. , Kirk L. D. , Griffin E. L. 
Published: May 2007

AbstractMustard seed like rapeseed is characterized by the presence of glucosides, which are readily hydrolyzed under certain conditions by enzymes in the seeds to produce pungent 舠mustard oils舡. This property is utilized in the preparation of condiments from some varieties of mustard, but when the seed is processed to yield a palatable oil and feed meal, this pungent factor must be removed. This was accomplished in bench‐scale studies at the Northern Laboratory by converting the mustard glucoside enzymatically and removing the converted product, allyl isothiocyanate, during a subsequent cooking step before filtration‐extraction of the meal.
Polymerization of unsaturated fatty acids
Authors: Goebel Charles G. 
Published: May 2007

SummaryA method is proposed for the preparation of polybasic fat acids or “dimer” acids directly from fatty acids which is readily adaptable to commercial use. The presence of moisture maintained in the reaction vessel by steam pressure substantially prevents decomposition and decarboxylation of the fatty acids. By this method a larger percentage of dibasic acids, as compared to tribasic acids, is produced than by the previously described methods. The method of high temperature polymerization of fatty acids in the presence of moisture is also used to remove polyunsaturated fatty acids from commercial oleic acid.
Computation forms relating to the component acid analysis of marine animal oils by the ester fractionation method
Authors: Rapson W. S. , Schwartz Miss H. M. , Stoy R. H. , Van Rensburg N. J. 
Published: May 2007

SummaryComputation schemes have been found of assistance in calculations relating to the component acid analysis of marine animal oils by the ester fractionation method; these are described.
Adsorption analysis of lipids. IV. Fractionation of cholesterol and ergosterol
Authors: Kawahara Fred K. , Dutton Herbert J. 
Published: May 2007

SummaryThe adsorption analysis of the cholesterol‐ergosterol system has been studied. Since purified cholesterol and ergosterol were shown to be multi‐component by adsorption analysis on alumina, calculation of the degree of separation of their mixture involves certain approximations. Of the cholesterol originally placed on the column, it was calculated that 48.4% was recovered with a purity of 98%. Ergosterol recovered in the later fractions had a calculated purity of 97% and represented 64.9% of the ergosterol originally placed on the column.
Chemical examination of sugar cane oil
Authors: Whyte Donald Edward , Hengeveld Betty 
Published: May 2007

SummarySugar cane oil from Cuban cane has been shown to contain fatty acids, heptane insoluble acids, sterols, resinous hydrocarbons and alcohols, glycerine, and sugars. The acids from sugar cane oil can be separated into two major fractions, fatty acids and heptane insoluble acids. The latter (which are probably hydroxy acids) are relatively unstable to heat and polymerize during distillation. The fatty acids were found to consist mainly of linoleic (36.1%) and palmitic (25.0%) acids with lesser amounts of oleic (10.2%), linolenic (6.9%), and arachidic (7.6%) acids. Glycerine is present, and it would appear that the greater part of the acids occur as glycerides in the sugar cane oil. The unsaponifiable fraction is mainly unsaturated hydrocarbons with smaller amounts of sterols and other alcohols.
The nature of soil to be deterged and its bonding to the surface
Authors: Snell Foster Dee , Snell Cornelia T. , Reich Irving 
Published: May 2007

SummaryAsoil is ordinarily composed in varying amounts of oil, wax, or grease; solid particles of diverse types; and special water‐soluble or water‐dispersible materials such as sugar, salts, starch, etc. Quantitatively the fatty portion on fabrics may run to a substantial fraction of 1% and contains roughly one‐third neutral fat, one‐third higher fatty acids, one‐third other materials, and undetermined. Airborne dust may contain over 20% of fatty matter, over 30 per cent of other organic matter. Soil is retained on fabrics by mechanical forces, chemical forces, electrostatic attraction, and oil‐bonding, which itself operates by means of electrical forces on the molecular scale.The fundamental equations of wetting are presented. They imply that oily soils will gravitate toward the smallest capillaries in fabries and thus become increasingly difficult to remove as the soiled fabric ages. Polymerization of unsaturated oils and chemical linkage of conjugated unsaturated bonds to active sites on the fibers are also factors in the setting of soil as fabric ages.For extremely light soiling, the darkening of the fabric is roughly proportional to the amount of soil. As degree of soiling increases, the amounts of soil needed to give proportional darkening become enormously greater. From the viewpoint of detergency this means that the difference between good and bad results depends on removal of the last traces of soil.
Pilot‐plant fractionation of cottonseed. III. Process development of differential settling
Authors: Spadaro J. J. , Persell R. M. , Reuther C. G. , Vix H. L. E. , Laborde E. J. , Latham J. W. , Jaeger R. L. , Pollard E. F. , Gastrock E. A. 
Published: May 2007

AbstractChemical engineering data are presented to show the pilotplant process development of cottonseed fractionation employing the differential settling principle. The purpose of the process is to produce a cottonseed meal fraction essentially free of pigment glands and hulls, and a second fraction in which the pigment glands are concentrated sufficiently to serve as a raw material if pharmaceutical or other industrial use is developed for the glands or the pigments. The non‐lipids fraction will make available a meal of high nutritive value and a source of industrial protein.Unit operations involved, including machinery and other equipment required, and proposed flow diagrams for commercial application are discussed. In brief the unit operations are as follows: material preparation; disintegration for proper size reduction of cottonseed flakes (either defatted or undefatted) in solvent slurries; separation by tank differential settling or by centrifugal differential settling at 62 times gravity; meal recovery to recover separated fractions by either centrifuging at 1450 times gravity or by pressure filtration; desolventization of solvent‐damp meal; and oil and solvent recovery.
The raw linseed oil acetone foots test. II. Notes on an anomalous relationship between the heated and chilled gravity foots, resolved by the centrifugal method
Authors: Freyer E. B. , Shelburne V. B. 
Published: May 2007

SummaryThe volume of the emulsion produced in the chilled gravity foots test, as presently applied to linseed oils, and hence the indicated magnitude of the result, depends to some extent on the percentage of heated foots (a measure of gums and phosphatides) present in the oil. Consequently raw oils processed to remove the gums in order to meet the Federal and A.S.T.M. heated foots specifications may at times show an increase in indicated chilled foots content, as measured by the gravity test. The application of the chilled centrifugal foots test to such oils results in a more accurate and significant measure of the quantity of materials (non‐oil constituents, or foots) which it is the intent of the test to measure. The value of the centrifugal method for foots in the investigation of raw linseed oil properties is demonstrated.
Detergency evaluation. I. Wash test methods
Authors: Harris Jay C. , Brown Earl L. 
Published: May 2007

SummarySoil removal data were developed for five laboratory methods and one practical wash test method, utilizing a single standardized soil test fabrie. The degree of correlation between the methods is good considering the variety of machines and procedures used. Better correlation between methods was obtained in hard than in soft water, attributable to the higher solution concentration used in the hard water tests.The rating given the four detergents by the test methods was fairly uniform; the hard water data again were more concordant. Under the conditions used which were optimum for soap, the order of effectiveness was: soap, built nonionic and built alkyl aryl sulfonate, and loralkyl sodium sulfate. Ordinarily, solution concentration‐water hardness curves would be developed for complete evaluation, but the scope of this work precluded this procedure.The test variation for the five laboratory methods was of the same degree. The practical concentional washer test gave coefficients of variation roughly triple those for the laboratory methods. This difference is largely attributable to poorer test control of conditions such as degree and kind of soil of the test load. Even though different test washing machines were used, it appears that adjustment of factors such as wash time and ratio of fabric to solution might provide closer correlation between methods.
Scaphoid Excision with Four-Corner Fusion: A Biomechanical Study
Authors: Skie Martin , Grothaus Matt , Ciocanel Despina , Goel Vijay 
Published: May 2007

Purpose Partial wrist arthrodesis is a commonly performed procedure for the treatment of posttraumatic wrist arthritis because of its ability to provide pain relief without sacrificing complete wrist motion. The purpose of this study was to evaluate the redistribution of force after four-corner fusion and scaphoid excision, and to correlate the findings with the reported clinical outcomes. Methods Fifteen cadaveric wrists were used to study the biomechanics of the four-corner fusion. Pressure-sensitive film (super-low-pressure-indicating film—Pressurex, Sensor Products Inc, Madison, NJ) was inserted into the radiocarpal joint. Using the MTS 858 Mini Bionix (MTS System, Eden Prairie, MN), 50-kg loads (220 N) were applied to the wrists before and after simulated four-corner fusion and scaphoid excision. Statistically, we compared the pressure in the normal (intact) wrists versus four-corner fusion and scaphoid excision. The pressure measurements across the scaphoid fossa, lunate fossa, and triangular fibrocartilage complex (TFCC) were compared. Results There is a statistical significant difference between scaphoid, lunate, and TFCC mean total force when pre and post-fusion were compared ( p=0.0001). Our study revealed a statistical significant decrease in the mean scaphoid total force after scaphoid excision and four-corner fusion ( p=0.0001). We also found a subsequent increase in mean total force after scaphoid excision and four-corner fusion for the lunate fossa that did not reach statistical significance ( p=0.08), and no difference in load across the TFCC area ( p=0.995). Conclusions Our findings suggest that load is preferentially transferred to the radiolunate joint after scaphoid excision with four-corner fusion.