Browsing Mathematics thesis and dissertation collection by Issue Date
Now showing items 120 of 430

Theory of linear associative algebras
(The University of Edinburgh, 1908) 
Geometry of the cubic surfaces: with special reference to the 27 straight lines on the surface
(The University of Edinburgh, 1913) 
Researches on the confluent hypergeometric function
(The University of Edinburgh, 1916)[Handwritten] 
Convergence of the trigonometric series of dynamics
(The University of Edinburgh, 1923) 
Graduation of observational data
(The University of Edinburgh, 1925) 
A special prepared system for two quadratics in N variables
(The University of Edinburgh, 1930)A complete system of concomitants for two quadratics in n variables is a system of concomitants, in terms of which every rational integral concomitant of the two quadratics may be expressed rationally and integrally. ... 
Motion of an aircraft bomb in the attenuated atmosphere
(The University of Edinburgh, 1930)This paper is now in two parts. In the first part a new exact solution of the plane flight of a particle is discussed, by which it is possible to take a very long first arc straight from tables of functions defined in ... 
1. On the uniformisation of algebraic curves; 2. On the solution of linear differential equations by definite integrals
(The University of Edinburgh, 1931) 
Theorems in the tensor calculus, with applications to relativity
(The University of Edinburgh, 1932) 
Some investigations in statistical frequency of type B
(The University of Edinburgh, 1932) 
A correspondence between null and ordinary geodesics, its properties and Straneo's unified theory
(The University of Edinburgh, 1933) 
Least square smoothing by linear combination
(The University of Edinburgh, 1934)The problem of fitting a polynomial to a set of observational data so that the sum of the squared residuals is a minimum has been frequently investigated. A.C. Aitken, in an appendix to his paper, "On the Graduation of ... 
On the orthogonal polynomials in binomial and hypergeometric statistical distributions
(The University of Edinburgh, 1935)The orthogonal properties of the nermite polynomials, their relation to the normal frequency function, and the part they play in expressing in a series form the more general frequency function of Type A, are matters of ... 
Mathieu functions
(The University of Edinburgh, 1936)This thesis is divided into two parts. In the first part, I have studied the properties of certain functions of the confluent hypergeometric types, viz. Functions of Mathieu, Whittaker, Weber and Bateman. The development ... 
Invariant theory of the differential geometry of contact transformations
(The University of Edinburgh, 1937)Corresponding to the group of all analytic transformations there is a differential geometry of what is called the affinely connected space, which is a generalization of the ordinary affine geometry in the sense of Klein. ... 
Analytical properties of certain probability distributions
(The University of Edinburgh, 1938)This research has been carried out on Dr Aitken's suggestion. The first chapter is largely a recapitulation of known results which I have learnt from Dr Aitken, here arranged for convenience of reference later in the thesis. 
Linear combination of data with least error of differences
(The University of Edinburgh, 1939)One of the many ways of obtaining from a set of observations a second smoothed or graduated set is to assume that the second set is a linear combination of the first. Thus if u denotes the column vector of n observed values, ...