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Full-Text Articles in Physical Sciences and Mathematics
John-Stromberg Inequality For Certain Anisotropic Bmo Spaces, Yingfeng Hu
John-Stromberg Inequality For Certain Anisotropic Bmo Spaces, Yingfeng Hu
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In this paper, we establish the John-Stromberg inequality in certain anisotropic BMO spaces and apply the inequality to anisotropic Holder continuous function spaces. To achieve this goal, we define the median value, BMO space and sharp maximal function first. Secondly we constructed a family of continuously expanding rectangles and give a Calderon-Zygmund type decomposition. By using these tools, we establish the John-Stromberg inequality. Finally, an application to anisotropic Holder continuous function spaces is presented.
Highly-Configurable Multi-Objective Optimization For Physical Parameter Extraction Using Terahertz Time-Domain Spectroscopy, Andrew John Niklas
Highly-Configurable Multi-Objective Optimization For Physical Parameter Extraction Using Terahertz Time-Domain Spectroscopy, Andrew John Niklas
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The use of terahertz time-domain spectroscopy provides one of the most versatile and promising techniques for the robust determination of optical parameters, which is needed to enable identification of materials for quality control, materials science advancement, tamper prevention, drug enforcement, and hidden explosives detection. Previously, the state-of-the-art relied on legacy error measures for minimization of simulation error and the standard practice was to use a single unique measurement for each unknown material in a sample. Successful optical parameter extraction for uniformly varying optical property materials is correlated with low variation in extracted optical properties. This work advances the state-of-the-art in …
Investigation Of Communication And Radar System Optimization: New Computational And Theoretical Methods, Jeffrey R. Hollon
Investigation Of Communication And Radar System Optimization: New Computational And Theoretical Methods, Jeffrey R. Hollon
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Binary sequences and arrays, their higher dimensional counterparts, play a critical role in today's technologically advanced world. This thesis explores such sequences and their optimality under various conditions along with their applicability to problems in engineering such as communication and radar systems. A new asymptotically orthogonal type of matrix is defined with computational examples given along with infinite theoretical families. A high energy ternary sequence is developed and shown to have real world promise by simulation of its radar ambiguity function and frame synchronization. Proposed within is an extended and more complete definition for Doppler tolerance by which sequences may …