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A Continuous, Nowhere-Differentiable Function with a Dense Set of Proper Local Extrema

Description: In this paper, we use the following scheme to construct a continuous, nowhere-differentiable function 𝑓 which is the uniform limit of a sequence of sawtooth functions 𝑓ₙ : [0, 1] β†’ [0, 1] with increasingly sharp teeth. Let 𝑋 = [0, 1] x [0, 1] and 𝐹(𝑋) be the Hausdorff metric space determined by 𝑋. We define contraction maps 𝑀₁ , 𝑀₂ , 𝑀₃ on 𝑋. These maps define a contraction map 𝑀 on 𝐹(𝑋) via 𝑀(𝐴) = 𝑀₁(𝐴) ⋃ 𝑀₂(𝐴) ⋃ 𝑀₃(𝐴). The iteration under 𝑀 of the diagonal in 𝑋 defines a sequence of graphs of… more
Date: December 1993
Creator: Huggins, Mark C. (Mark Christopher)
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Continuous, Nowhere-Differentiable Functions with no Finite or Infinite One-Sided Derivative Anywhere

Description: In this paper, we study continuous functions with no finite or infinite one-sided derivative anywhere. In 1925, A. S. Beskovitch published an example of such a function. Since then we call them Beskovitch functions. This construction is presented in chapter 2, The example was simple enough to clear the doubts about the existence of Besicovitch functions. In 1932, S. Saks showed that the set of Besicovitch functions is only a meager set in C[0,1]. Thus the Baire category method for showing the e… more
Date: December 1994
Creator: Lee, Jae S. (Jae Seung)
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Absolute Continuity and the Integration of Bounded Set Functions

Description: The first chapter gives basic definitions and theorems concerning set functions and set function integrals. The lemmas and theorems are presented without proof in this chapter. The second chapter deals with absolute continuity and Lipschitz condition. Particular emphasis is placed on the properties of max and min integrals. The third chapter deals with approximating absolutely continuous functions with bounded functions. It also deals with the existence of the integrals composed of various comb… more
Date: May 1975
Creator: Allen, John Houston
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Operators on Continuous Function Spaces and Weak Precompactness

Description: If T:C(H,X)-->Y is a bounded linear operator then there exists a unique weakly regular finitely additive set function m:-->L(X,Y**) so that T(f) = ∫Hfdm. In this paper, bounded linear operators on C(H,X) are studied in terms the measure given by this representation theorem. The first chapter provides a brief history of representation theorems of these classes of operators. In the second chapter the represenation theorem used in the remainder of the paper is presented. If T is a weakly compact o… more
Date: August 1988
Creator: Abbott, Catherine Ann
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Comparison of Visual and Auditory Continuous Performance Tests in Adults

Description: Two continuous performance tests were administered to normal adult subjects. The mode of presentation (visual or auditory) and the type of task (vigilance or distractibility) were varied, and their effects on performance measured. Data were collected on eighty-two subjects, and results indicated that auditory presentation of stimuli increased the difficulty of both tasks. Results also suggest that the distractibility task administered in either mode was more difficult than the vigilance task. I… more
Date: December 1993
Creator: Taylor, Cindy J.
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Experimental study of the effects of finite surface disturbances and angle of attack on the laminar boundary layer of an NACA 64A010 airfoil with area suction

Description: From Summary: "A Langley low-turbulence wind-tunnel investigation of a porous NACA 64A010 airfoil section has been made to determine the effectiveness of area suction in maintaining full-chord laminar flow behind finite disturbances and at angles of attacks other than 0 degrees. Aero suction resulted in only a small increase in the size of a finite disturbance required to cause premature boundary-layer transition as compared with that for the airfoil without suction. Combined wake and suction d… more
Date: October 1952
Creator: Schwartzberg, Milton A. & Braslow, Albert L.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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A Method of Calculating the Ultimate Strength of Continuous Beams

Description: The purpose of this study was to investigate the strength of continuous beams after the elastic limit has been passed. As a result, a method of calculation, which is applicable to maximum load conditions, has been developed. The method is simpler than the methods now in use and it applies properly to conditions where the present methods fail to apply.
Date: February 1, 1930
Creator: Newlin, J. A. & Trayer, George W.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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One-Sitting Paintings

Description: Even Though I already did paint fairly rapidly, I felt I had a tendency to let the painting in progress sit too long in between times spent working on it. I also felt that I was spending too much time stepping back away from the work to look at it and was milling around the studio sometimes needlessly. Thus I became intrigued with the idea of doing a painting in one block of time. The purpose of this investigation was to explore and study the possibilities generated by a series of "one-sitting"… more
Date: May 1990
Creator: Thomas, Craig C.
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Critical Properties of Polydisperse Fluid Mixtures From Anequation of State

Description: Based on stability theory for plydisperse fluid mixtures, expressions have been developed for the spinodal criterion, critical criterion and various stability tests for systems containing one discrete component and one continuous homologue. Each criterion can be separated into two parts: the first part is the same in form as that for binary systems; when we assume particular mixing rules for parameters of the equation of state, that part is determined only by the average molar mass of the homol… more
Date: September 1, 1999
Creator: Cai, J.; Liu, H.; Hu, Y. & Prausnitz, J.M.
Item Type: Refine your search to only Article
Partner: UNT Libraries Government Documents Department
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The Continuous Wavelet Transform and the Wave Front Set

Description: In this paper I formulate an explicit wavelet transform that, applied to any distribution in S^1(R^2), yields a function on phase space whose high-frequency singularities coincide precisely with the wave front set of the distribution. This characterizes the wave front set of a distribution in terms of the singularities of its wavelet transform with respect to a suitably chosen basic wavelet.
Date: December 1993
Creator: Navarro, Jaime
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Newton flow of the Riemann zeta function: separatrices control the appearance of zeros

Description: This article applies the continuous Newton method to the Riemann zeta function and discusses the emerging patterns emphasizing especially the structuring of the non-trivial zeros by the separatrices.
Date: October 14, 2014
Creator: Neuberger, J. W.; Feiler, C.; Llopis, A.; Maier, H. & Schleich, W. P.
Item Type: Refine your search to only Article
Partner: UNT College of Arts and Sciences
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