Now showing items 21-40 of 436

    • Automated theory formation in pure mathematics 

      Colton, Simon (The University of Edinburgh, 2001)
      The automation of specific mathematical tasks such as theorem proving and algebraic manipulation have been much researched. However, there have only been a few isolated attempts to automate the whole theory formation ...
    • Matrix representation of symmetric groups 

      Makar, R. H. (The University of Edinburgh, 1947)
      The Thesis consists of two parts. In part I, a concentrated summary of the symmetric group, its matrix representations and characters, is given. In part II, the irreducible matrix representations of the symmetric groups ...
    • The development of statistical theory in Britain, 1865-1925: a historical and sociological perspective 

      MacKenzie, Donald (The University of Edinburgh, 1978)
      This thesis discusses the development of statistical theory in Britain in the period 1865 to 1925, and attempts to account for this development as an institutional and an intellectual phenomenon. Close connections are ...
    • Analytical properties of certain probability distributions 

      Kibble, W. F. (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.
    • Allied subsets of topological groups and linear spaces 

      Jameson, Graham James Oscar (The University of Edinburgh, 1967)
      1, Basic theory, 4 || 2. Allied sets in linear spaces, 17 || 3. Cauchy nets and completeness, 29 || 4, Subgroups and subspaces. 39 || 5. Locally compact subsets of topological linear spaces. 46 || 6. ...
    • On problems in the estimation of statistical parameters from samples grouped in broad categories 

      Howie, Alastair James (The University of Edinburgh, 1952)
      When a number of individuals are observed in respect of some characteristic whose occurrence may be expressed in terms of a numerical variable, it often happens that what is recorded for each individ- ual is not the ...
    • Least square smoothing by linear combination 

      Harding, F. Mary (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 ...
    • A special prepared system for two quadratics in N variables 

      Williamson, John (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. ...
    • The theory of relative co-ordinates in Riemannian Geometry 

      Walker, A. G. (The University of Edinburgh, 1933)
      The theory of relative co-ordinates w s first introduced by the author (1), but only a few of the results of Part 1 of this work were given. The theory was afterwards applied ton study of distance in relativity (2), the ...
    • On multivariate sampling with and without replacement 

      Steyn, Hendrik Stefanus (The University of Edinburgh, 1947)
      In the chapters I - VII we have succeeded in studying, the most important theoretical properties of probability distributions which arises in common sampling with and without replacement. For Univariate Hypergeometric ...
    • The estimation of statistical coefficients from samples 

      Solomon, Leon (The University of Edinburgh, 1944)
      Statistics, it has been said, is the reduction of data. This definition fails, however, to bring out one of the most important and interesting aspects of modern statistical theory - the making of estimates. Let us consider ...
    • On the theory of estimation of statistical parameters 

      Silverstone, Harold (The University of Edinburgh, 1939)
      The problem of estimation has figured prominently in the mathematical theory of statistics during the last eighteen or twenty years, although, of course, it has been one of the central problems of statistics since its ...
    • Kapteyn's theory of skew frequency, and orthogonal polynomials in one and two variables 

      Shenton, L. R. (The University of Edinburgh, 1940)
    • Contributions to the theory of statistical estimation and other topics 

      Shenton, L. R. (The University of Edinburgh, 1959)
      A • 1 On the Efficiency of the Method of Moments and Neyman's Type A Distribution. • 2 Maximum Likelihood and the Efficiency of the Method of Moments. • 3 Efficiency of the Method of Moments and the Gram- Charlier Type ...
    • Curve-fitting according to the method of A. Ekke and R. Schmidt 

      Sealy, E. H. (The University of Edinburgh, 1940)
      When fitting a curve to. a given set of data , it is usual , having chosen the curve-type which will best suit the data, to take as abscissae for the plotted points of the curve the observations themselves ,.. and then ...
    • Matrices with non-negative elements 

      Schneider, Hans (The University of Edinburgh, 1952)
      Chapter 1 is a short introductory chapter dealing with some definitions and basic properties of matrices and vectors.
    • Contributions to the theory of groups 

      Rose, John S. (The University of Edinburgh, 1975)
      A 1. The influence on a finite group of its proper abnormal structure. J. London Math. Soc. 40 (1965). 348-61; MR30#4838. • B 2. Abnormal depth and hypereccentric length in finite soluble groups, Math. Z. 90 (1965). ...
    • The basic theorems of analysis of variance with special reference to field experiments 

      Rayner, A. A. (The University of Edinburgh, 1947)
      The statistical procedure of analysis of variance was invented by R.A. Fisher during his stay as statistician at Rothamsted Experimental Station. His first, more or less tentative, discussion of the theory was set forth ...
    • Logarithmetics of non associative algebras 

      Popova, Helen (The University of Edinburgh, 1951)
      Direct product of two algebras A₂ and Z', which have each a special entropic logarithmetic possesses the logarithmetic which is a special entropic logarithmetic, whose quasi-integers are characterised by four components.
    • The prisms of Euclid 

      Philip, George (The University of Edinburgh, 1913)