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A velocity-correction formula for the calculation of transonic Mach number distributions over diamond-shaped airfoils

Description: Report presenting a velocity-correction formula for the purpose of calculating, from the known Mach number distribution for a diamond-shaped airfoil at a stream Mach number of 1.0, Mach number distributions on the same airfoil at speeds from a Mach number of about 0.8 to shock-attachment Mach number. An expression for the rate of change of local Mach number with stream Mach number is derived and an explicit equation for the drag coefficient as a function of stream Mach number and thickness rat… more
Date: November 1951
Creator: Ivey, H. Reese & Harder, Keith C.
Partner: UNT Libraries Government Documents Department
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Formulas and Tables of Coefficients for Numerical Differentiation With Function Values Given at Unequally Spaced Points and Application to Solution of Partial Differential Equations

Description: Note presenting general differentiation formulas for successive derivative of a function, which are obtained in terms of the values of the function at unequally spaced arguments and the corresponding distances between the successive arguments using Lagrangian polynominals of various degrees. A general discussion of applying the formulas to the numerical solution of partial differential equations is made.
Date: November 1950
Creator: Wu, Chung-Hua
Partner: UNT Libraries Government Documents Department
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Temperatures, thermal stress, and shock in heat-generating plates of constant conductivity and of conductivity that varies linearly with temperature

Description: Report presenting working formulas for the steady-state temperatures and thermal stress in heat-generating infinite plates of constant conductivity. Of all planes in the plate, the plate surfaces are always under the greatest tension, and the midplane is under the greatest compression.
Date: July 1953
Creator: Manson, S. V.
Partner: UNT Libraries Government Documents Department
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NBS Viscometer Calibrating Liquids and Capillary Tube Viscometers

Description: Report discussing measurements of viscosity made with relative viscometers. These instruments must be calibrated with liquids whose viscosities are known. NBS provides a series of 10 oils for this purpose. Their viscosities range from 0.02 to 450 poises and their temperature coefficients of viscosity range from 2.1 to 9.4 percent per degree C. The less viscous oils are more stable. Correction formulas for errors or conditions are presented.
Date: December 26, 1962
Creator: Hardy, R. C.
Partner: UNT Libraries Government Documents Department
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A revised gust-load formula and a re-evaluation of v-g data taken on civil transport airplanes from 1933 to 1950

Description: From Summary: "A revised gust-load formula with a new gust factor is derived to replace the gust-load formula and alleviation factor widely used in gust studies. The revised formula utilizes the same principles and retains the same simple form of the original formula but provides a more appropriate and acceptable basis for gust-load calculations. The gust factor is calculated on the basis of a one-minus-cosine gust shape and is presented as a function of a mass-ratio parameter in contrast to th… more
Date: 1954
Creator: Pratt, Kermit G. & Walker, Walter G.
Partner: UNT Libraries Government Documents Department
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Pressure of air on coming to rest from various speeds

Description: The text gives theoretical formulas from which is computed a table for the pressure of air on coming to rest from various speeds, such as those of aircraft and propeller blades. Pressure graphs are given for speeds from 1 cm. Sec. up to those of swift projectiles.
Date: 1927
Creator: Zahm, A. F.
Partner: UNT Libraries Government Documents Department
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Calculations on U235 Fission Product Decay Chains

Description: Report of equations for calculating decay of U235. The introduction states" Calculations have been made on the U235 fission product decay schemes. The results for a typical example, that of a reactor operating at 1000 kilowatts for 180 days, have been tabulated and graphed. General formulae have been used so that the results can be applied for any power level and any time of irradiation" (p. 2).
Date: May 1952
Creator: Faller, I. L.; Chapman, T. S. & West, J. M.
Partner: UNT Libraries Government Documents Department
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An Approach to the Prediction of the Frequency Distribution of Gust Loads on Airplanes in Normal Operations

Description: Note presenting the statistical concepts of random variables and probability distributions as applied to the sharp edge gust formula as a basis for the prediction of the gust-load history of airplanes in service operations. The results are applied in an example and the predicted load experience is compared with the available flight loads data for the case.
Date: April 1952
Creator: Press, Harry
Partner: UNT Libraries Government Documents Department
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The Runge-Kutta Method

Description: This paper investigates the Runge-Kutta method of numerically integrating ordinary differential equations. An existence theorem is given insuring a solution to the differential equation, then the theorem is modified to yield an analytic solution. The derivation of the method itself is followed by an analysis of the inherent error.
Date: June 1961
Creator: Powell, Don Ross
Partner: UNT Libraries
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International Practical Temperature Scale of 1948: Text Revision of 1960

Description: Report is a text revision of the International Temperature Scale of 1948; the numerical values of temperatures remain the same. The adjective "Practical" was added to the name by the International Committee on Weights and Measures. The scale continues to be based upon six fixed and reproducible equilibrium temperatures to which values have been assigned, and upon the same interpolation formulas relating temperatures to the indications of specified measuring instruments. Some changes have been m… more
Date: September 8, 1961
Creator: Stimson, H. F.
Partner: UNT Libraries Government Documents Department
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Formulas, Tables and Curves for Computing the Mutual Inductance of Two Coaxial Circles

Description: Scientific paper issued by the Bureau of Standards over the mutual inductance of two coaxial circles. As stated in the abstract, "a number of examples are given to show the methods of computation by the different formulas, tables, and charts" (p. 541). This paper includes tables, and illustrations.
Date: August 5, 1924
Creator: Curtis, Harvey L. & Sparks, C. Matilda
Partner: UNT Libraries Government Documents Department
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The Effects of the Ratio of Utilized Predictors to Original Predictors on the Shrinkage of Multiple Correlation Coefficients

Description: This study dealt with shrinkage in multiple correlation coefficients computed for sample data when these coefficients are compared to the multiple correlation coefficients for populations and the effect of the ratio of utilized predictors to original predictors on the shrinkage in R square. The study sought to provide the rationale for selection of the shrinkage formula when the correlations between the predictors and the criterion are known and determine which of the three shrinkage formulas (… more
Date: August 1983
Creator: Petcharat, Prataung Parn
Partner: UNT Libraries
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On the standard L-function for GSp2n × GL1 and algebraicity of symmetric fourth L-values for GL2

Description: This article proves an explicit integral representation—involving the pullback of a suitable Siegel Eisenstein series—for the twisted standard L-function associated to a holomorphic vector-valued Siegel cusp form of degree n and arbitrary level.
Date: May 6, 2020
Creator: Pitale, Ameya; Saha, Abhishek & Schmidt, Ralf
Partner: UNT College of Science
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