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71 
Impact of exploration in a dynamic geometry environment on students' concept of proof /Lee, Mansang, Arthur. January 1996 (has links)
Thesis (M. Ed.)University of Hong Kong, 1996. / Includes bibliographical references (leaf 9396).

72 
Impact of exploration in a dynamic geometry environment on students' concept of proofLee, Mansang, Arthur. January 1996 (has links)
Thesis (M.Ed.)University of Hong Kong, 1996. / Includes bibliographical references (leaves 9396). Also available in print.

73 
NonEuclidean GeometryRoss, Skyler W. January 2000 (has links) (PDF)
No description available.

74 
Some Theorems from Plane Lobachevskian GeometryWalker, Henry L. 06 1900 (has links)
This paper will investigate the geometry that results when Euclid's fifth postulate is replaced by the Lobachevskian assumption. The investigations will be limited to the plane.

75 
Sheaves and schemes: an introduction to algebraic geometryAbouRached, John January 1900 (has links)
Master of Science / Department of Mathematics / Roman Fedorov / The purpose of this report is to serve as an introduction to the language of sheaves and schemes via algebraic geometry. The main objective is to use examples from algebraic geometry to motivate the utility of the perspective from sheaf and scheme theory. Basic facts and definitions will be provided, and a categorical approach will be frequently incorporated when appropriate.

76 
Extension theorem and its application to the Frenet formulas ofcurves黃炎明, Wong, Yimming. January 1966 (has links)
published_or_final_version / Mathematics / Master / Master of Science

77 
Differentialgeometric aspects of adapted contact structures.Pitucco, Anthony Peter. January 1991 (has links)
Let M denote a 2ndimensional globally defined orientable manifold from which is constructed the product space N = M x R. It is assumed that N is endowed with a set of 2n independent smooth 1forms {π(h),πʰ:h = 1,..,n}. Certain conditions are imposed on {π(h),πʰ} which imply the existence of local coordinates {qʰ,p(h)} on M and a function H(qʰ,p(h),t) on N, where t is the single coordinate on R, such that dπ = π(h) ∧ πʰ, where π has the structure of a Cartan form on N. The assumption that the function h = p(h)∂H/∂p(h)H is nonzero on a region D ⊂ N, implies that π has maximal class on D. This construction gives rise to a local adapted contact structure on N and a local symplectic structure on M. A vector field X on N is said to be a contact field if there exists a smooth function σ : N → R such that ₤ₓπ = σπ. A vector field Z on N is called a canonical vector field if it admits the representation Z = ∂/∂t + (H, ) where (,) denotes the Poisson bracket on M. For a given function σ, a prescription is given for the construction of the space c(σ)(N) of contact fields in terms of solutions F of the p.d.e. Z<F> = σh. The vector space (UNFORMATTED EQUATION FOLLOWS) c(N) = ∪ (σ∊C)(∞)c(σ)(N) (END UNFORMATTED EQUATION) is shown to have the structure of a Lie subalgebra of the Lie algebra of vector fields on N. It is shown that the associated subspace A(π) = {X:X˩π = 0} is such that c(σ)(N) ∩ A(π) = {0}. This implies that there is an X in c(σ)(N) such that X˩π ≠ 0. Thus, if the function H that appears in the Cartan form π is such that H = X˩π for any X ∊ c(σ)(N) it is possible to deduce that ∂H/∂t ≠ 0, which shows that such vector fields may be of relevance to the theory of nonconservative systems. A different set of 2n 1forms {π(h),πʰ} is introduced on N that are subject to analogous conditions which ensure the existence of local coordinates (qʰ,p(h)) on M and a function K(qʰ,p(h),t) that gives rise to a new Cartan form π on N such that dπ= π(h) ∧ πʰ. By definition, the fundamental invariant of a parameterdependent canonical transformation on N is dπ = dπ. In this new setting a contact field X satisfies the ₤ₓπ = σπ for some function σ: N to R. The relationship between the contact vector fields X and X is investigated in depth.

78 
Regularity and other properties of Hausdorff measuresSchechter, Alexander January 2002 (has links)
No description available.

79 
Algebraic problems in matroid theorySarmientoLopez, X. I. January 1998 (has links)
No description available.

80 
Development of a Geometry from a Set of AxiomsGlasscock, Anita Louise 05 1900 (has links)
The purpose of this paper is to develop a geometry based on fourteen axioms and four undefined terms.

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