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Fundamental systems of formal modular seminvariants of the binary cubic /Williams, W. L. G. January 1900 (has links)
Thesis (Ph. D.)--University of Chicago, 1920. / "Private edition distributed by the University of Chicago Libraries." "Reprinted from Transactions of the American mathematical society, volume 22, number 1 (January, 1921)."
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Fuchsian groups associated with certain indefinite quaternary quadratic formsWright, John Bell January 1940 (has links)
[No abstract submitted] / Science, Faculty of / Mathematics, Department of / Graduate
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Maximum and minimum problems in functions of quadratic formsWestwick, Roy January 1957 (has links)
Let A be an n x n hermitian matrix, let E₂(a₁, …, a_k) be the second elementary symmetric function of the letters a₁, …, a_k and let C₂(A) be the second compound matrix of A. In this thesis the maximum and minimum of det {(Ax_█, x_j)} and E₂ [(Ax₁, x₁), …, (Ax_█(k@), x_k)] the minimum of [formula omitted] (C₂(A)x_i ₁⋀x_i₂ , x_i₁ ⋀ax_i₂) are calculated. The maxima and minima are taken over all sets of k orthonormal vectors in unitary n-space and x_█(i@)₁ ⋀ x_i ₂ designates the Grassman exterior product. These results depend on the inequality E₂(a₁, …, a_k ) ≤ (k/2 ) [formula omitted] which is here established for arbitrary real numbers, and on the minimum of E₂ (x₁, …, x_(k)) where the minimum is taken over all values of x₁, …, x_█(k@) such that ∑_(i=1)^k▒xi = ∑_(i=1)^k▒〖∝i〗 and ∑_(i=1)^q▒xsi ≤ ∑_(i=1)^q▒〖∝i〗 for all sets of q distinct integers s₁, …, s_q taken from 1, …, k. Here α₁ ≥ … ≥ ∝_k. / Science, Faculty of / Mathematics, Department of / Graduate
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Bilinear formsUnknown Date (has links)
"The object of this paper is to present a detailed, illustrated discussion of a portion of the theory of bilinear forms as found in Volume 2 of Lectures in Abstract Algebra by Nathan Jacobson. This theory involves the fundamental properties of bilinear forms on finite dimensional vector spaces over arbitrary division rings and includes such things as a discussion of the relationship between matrices and bilinear forms as well as the definition of the transpose of a transformation relative to a pair of bilinear forms; a definition independent of the matrix representations of the forms"--Introduction. / Typescript. / "May, 1955." / "Submitted to the Graduate Council of Florida State University in partial fulfillment of the requirements for the degree of Master of Science." / Advisor: Nickolas Heerema, Professor Directing Paper. / Includes bibliographical references (leaf 30).
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Classification and construction of integral positive definite quadratic forms over ZZ and ZZ((1+[square root of]5) over 2) /Costello, Patrick J. January 1982 (has links)
No description available.
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Theta series of quadratic forms over Z and Z[1 + P/2] /Hung, David C. January 1983 (has links)
No description available.
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Higher degree theta-series and representations of quadratic forms /Kim, Myung-Hwan January 1985 (has links)
No description available.
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On the minima of indefinite binary quadratic forms /Gbur, Mary Flahive January 1976 (has links)
No description available.
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Hermitian Jacobi Forms and CongruencesSenadheera, Jayantha 08 1900 (has links)
In this thesis, we introduce a new space of Hermitian Jacobi forms, and we determine its structure. As an application, we study heat cycles of Hermitian Jacobi forms, and we establish a criterion for the existence of U(p) congruences of Hermitian Jacobi forms. We demonstrate that criterion with some explicit examples. Finally, in the appendix we give tables of Fourier series coefficients of several Hermitian Jacobi forms.
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An objective behavior record for use in a nursery schoolFisher, Helen Robbins January 2011 (has links)
Typescript, etc. / Digitized by Kansas State University Libraries
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