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The Relation Between Regression Coefficients in a Multiple-Regression Analysis

Description: In a multiple-regression analysis it is often necessary to assign a value, different from the least-squares value, to one or more of the regression coefficients. A simple method is described which eliminates the matrix algebra which, in such cases, is usually necessary in order to re-evaluate the remaining coeffcients, together with the associated variances and covariancesThe method is generalized to give an equally simple procedure for testing possible linear relations among the regression coefficients. (auth)
Date: September 1, 1959
Creator: Monahan, J. E.
Partner: UNT Libraries Government Documents Department

An algebraic characterization of stability groups

Description: The goal of this paper is to establish necessary and sufficient conditions for a subgroup of the full homeomorphism group of a manifold to be the stability group of a point in the underlying space. Such subgroups are useful in identifying the underlying space in terms of its homeomorphism group even in cases in which this space is not necessarily a manifold. Thus, stability groups are useful in classifying various spaces.
Date: August 1991
Creator: Wright, William G. (William Glenn)
Partner: UNT Libraries

MATHEMATICS PANEL ANNUAL PROGRESS REPORT FOR PERIOD ENDING DECEMBER 31, 1960

Description: The construction of a translator to Oracle language from ALGOL, the international algebrnic language, is described. The use of functions other than polynomials, e.g., trigonometnic fu nctions, as a basis for numerical quadrature in solving differential equations is considered. Functions satisfying a recursion in such a way that the stability of the computation is stabilized are evaluated, and matrices are studied with reference to localization of characteristic roots. Some problems in biology, medicine, health physics, and metallography requiring statistical analysis are described. Programming activities are described, including a program for analyzing the transmission data in neutron cross section determinations. A bnief summary of the Oracle operating experience and practice is given. (D.L.C.)
Date: April 1, 1961
Partner: UNT Libraries Government Documents Department

A Classification of the Homogeneity of Countable Products of Subsets of Real Numbers

Description: Spaces such as the closed interval [0, 1] do not have the property of being homogeneous, strongly locally homogeneous (SLH) or countable dense homogeneous (CDH), but the Hilbert cube has all three properties. We investigate subsets X of real numbers to determine when their countable product is homogeneous, SLH, or CDH. We give necessary and sufficient conditions for the product to be homogeneous. We also prove that the product is SLH if and only if X is zero-dimensional or an interval. And finally we show that for a Borel subset X of real numbers the product is CDH iff X is a G-delta zero-dimensional set or an interval.
Date: August 2017
Creator: Allen, Cristian Gerardo
Partner: UNT Libraries

Theory of Lifting Surfaces, Part 2

Description: A mathematical model is presented towards a theory of lifting and resistance on wings. It consists of a theory of multiplanes, conditions of flow at a great distance from the wing, lifting systems of minimum resistance, and free stream and stream limited by walls.
Date: August 1, 1920
Creator: Prandtl, L.
Partner: UNT Libraries Government Documents Department

Basic Differential Equations in General Theory of Elastic Shells

Description: The shell shall be considered as a three-dimensional continuous medium; for the coordinate surface, the middle surface of the shell shall be assumed parallel to the bounding surfaces. Let alpha and beta be the curvilinear orthogonal coordinates of this surface, coinciding with the lines of principal curvatures, and gamma the distance along the normal from the point (alpha,beta) of the coordinate surface to any point (alpha,beta,gamma) of the shell.
Date: February 1, 1951
Creator: Vlasov, V. S.
Partner: UNT Libraries Government Documents Department

COMPILER INTO GEORGE ASSEMBLY ROUTINE

Description: This program of the GEORGE Assembly Routine (GAR) will accept Fortran- like statements from paper tape and create the GAR language program on tape. This includes the needed calls for common subroutines and the reservations for the named variables and temporaries. The original statements in Fortran are carried along as remarks. The GAR language program may then be processed in the usual way by the GEORGE Assembly Routine, giving machine-language code. The level of sophistication of the source language is roughly equal to that of Fortransit or SALT. (auth)
Date: June 1, 1962
Creator: George, R.
Partner: UNT Libraries Government Documents Department