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Articles 1 - 12 of 12
Full-Text Articles in Physical Sciences and Mathematics
Oer Ellipses And Traditional Rapanui Houses On Easter Island, Cynthia Huffman Ph.D.
Oer Ellipses And Traditional Rapanui Houses On Easter Island, Cynthia Huffman Ph.D.
Faculty Submissions
This worksheet activity is appropriate for secondary students in a class studying conic sections or students in a college algebra class. The first part of the activity gives an algebraic review of ellipses with exercises while the second part finds the equation of an ellipse corresponding to a Rapanui boat house foundation.
Supporting Our Struggling Students: Details Of A Hybrid Mathematics Summer Bridge Program, Anita White, Patrick Davis, Marti Shirley
Supporting Our Struggling Students: Details Of A Hybrid Mathematics Summer Bridge Program, Anita White, Patrick Davis, Marti Shirley
Faculty Publications & Research
It goes without saying that the schools in the consortium are used to dealing with gifted and talented students. However with such high-caliber students, we also have high expectations. What resources do we offer to the students who struggle at our institutions? This presentation will detail the setup and results of EXCEL2 - a summer bridge program offered at the Illinois Mathematics & Science Academy to help students who were unable to meet course expectations. The program operated through a hybrid online/in-person model - with instruction primarily given through video conferencing but coupled with an on-campus experience.
Oer Outdoor Ellipse Multicultural (Easter Island) Activity, Cynthia Huffman Ph.D.
Oer Outdoor Ellipse Multicultural (Easter Island) Activity, Cynthia Huffman Ph.D.
Faculty Submissions
This activity would fit in with a secondary or college algebra class studying conic sections, in particular ellipses, and gives students a multicultural hands-on application of the definition of an ellipse, while tracing out a full-scale model of the foundation of a hare paenga (boat house) from prehistoric Easter Island (Rapa Nui)..
Oer Indoor Ellipse Multicultural (Easter Island) Activity, Cynthia Huffman Ph.D.
Oer Indoor Ellipse Multicultural (Easter Island) Activity, Cynthia Huffman Ph.D.
Faculty Submissions
This activity would fit in with a secondary or college algebra class studying conic sections, in particular ellipses, and gives students a multicultural hands-on application of the definition of an ellipse, while tracing out a scale model of the foundation of a hare paenga (boat house) from prehistoric Easter Island (Rapa Nui)..
Three-Dimensional Data Exploration Technology Based On Large-Scale Complex Geometrical Surfaces, Zhiwei Ai, Cao Yi, Xiao Li, Huawei Wang
Three-Dimensional Data Exploration Technology Based On Large-Scale Complex Geometrical Surfaces, Zhiwei Ai, Cao Yi, Xiao Li, Huawei Wang
Journal of System Simulation
Abstract: Three-dimensional physical field data exploration visualization based on large scale complex geometric surface is of great value in three-dimensional electromagnetic simulation applications. Research was proposed which was suitable for massively parallel processing technology of three-dimensional data exploration. The concept of dual-data-source and data filtering policies was introduced based on contracts. Clipping algorithms based on spatial bounding box and data probing algorithm can support accurate three-dimensional data profiling for complex surface geometry. Research results have been applied to significant practical applications, such as the fuselage characteristics of electric field distribution analysis and high value targets within the seeker's accurate …
Studies On Polynomial Rings Through Locally Nilpotient Derivations., Nikhilesh Dasgupta Dr.
Studies On Polynomial Rings Through Locally Nilpotient Derivations., Nikhilesh Dasgupta Dr.
Doctoral Theses
No abstract provided.
Higher Chow Cycles On The Jacobian Of Curves., Subham Sarkar Dr.
Higher Chow Cycles On The Jacobian Of Curves., Subham Sarkar Dr.
Doctoral Theses
The following formula, usually called Beilinson’s formula — though independently due to Deligne as well — describes the motivic cohomology group of a smooth projective variety X over a number field as the group of extensions in a conjectured abelian category of mixed motives, MMQ.The aim of this thesis is to describe this construction in the case of the motivic cohomology group of the Jacobian of a curve. The first work in this direction is due to Harris [Har83] and Pulte [Pul88], [Hai87]. They showed that the Abel-Jacobi image of the modified diagonal cycle on the triple product of a …
Delaunay Surfaces Expressed In Terms Of A Cartan Moving Frame, Paul Bracken
Delaunay Surfaces Expressed In Terms Of A Cartan Moving Frame, Paul Bracken
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Delaunay surfaces are investigated by using a moving frame approach. These surfaces correspond to surfaces of revolution in the Euclidean three-space. A set of basic one-forms is defined. Moving frame equations can be formulated and studied. Related differential equation which depend on variables relevant to the surface are obtained. For the case of minimal and constant mean curvature surfaces, the coordinate functions can be calculated in closed form. In the case in which the mean curvature is constant, these functions can be expressed in terms of Jacobi elliptic functions.
Geometry Across The Curriculum, Corey Dunn
Geometry Across The Curriculum, Corey Dunn
Q2S Enhancing Pedagogy
This project is designed for a multicalculus class already familiar with computing the arc length of a parameterized curve in space. The activity asks the student to first recall basic facts about arc length, and then introduces the notion of measuring lengths of vectors differently, depending on where their initial point is. This is a foundational concept in metric differential geometry, and, this activity attempts to motivate this generalization of computing lengths of vectors through this arc length activity. The activity concludes with a short discussion of basic concepts of Lorentzian geometry, including the idea that lightlike vectors have length …
Cartan’S Approach To Second Order Ordinary Differential Equations, Paul Bracken
Cartan’S Approach To Second Order Ordinary Differential Equations, Paul Bracken
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
In his work on projective connections, Cartan discusses his theory of second order differential equations. It is the aim here to look at how a normal projective connection can be constructed and how it relates to the geometry of a single second order differential equation. The calculations are presented in some detail in order to highlight the use of gauge conditions
V-Slam And Sensor Fusion For Ground Robots, Ejup Hoxha
V-Slam And Sensor Fusion For Ground Robots, Ejup Hoxha
Dissertations and Theses
In underground, underwater and indoor environments, a robot has to rely solely on its on-board sensors to sense and understand its surroundings. This is the main reason why SLAM gained the popularity it has today. In recent years, we have seen excellent improvement on accuracy of localization using cameras and combinations of different sensors, especially camera-IMU (VIO) fusion. Incorporating more sensors leads to improvement of accuracy,but also robustness of SLAM. However, while testing SLAM in our ground robots, we have seen a decrease in performance quality when using the same algorithms on flying vehicles.We have an additional sensor for ground …
Developing A High Resolution Zdc For The Eic, J. H. Lee, T. Sako, K. Tanida, M. Murray, Q. Wang, N. Nickel, Y. Yamazaki, Y. Itow, H. Menjo, T. Shibata, C. E. Hyde, V. Baturin, Y. Goto, I. Nakagawa, R. Seidl, K. Kawade, A. Deshpande, B. Schmookler, K. Nakano, T. Chujo, Y. Miyachi
Developing A High Resolution Zdc For The Eic, J. H. Lee, T. Sako, K. Tanida, M. Murray, Q. Wang, N. Nickel, Y. Yamazaki, Y. Itow, H. Menjo, T. Shibata, C. E. Hyde, V. Baturin, Y. Goto, I. Nakagawa, R. Seidl, K. Kawade, A. Deshpande, B. Schmookler, K. Nakano, T. Chujo, Y. Miyachi
Physics Faculty Publications
The Electron Ion Collider offers the opportunity to make un-paralleled multidimen- sional measurements of the spin structure of the proton and nuclei, as well as a study of the onset of partonic saturation at small Bjorken-x [1]. An important requirement of the physics program is the tagging of spectator neutrons and the identification of forward photons. We propose to design and build a Zero Degree Calorimeter, or ZDC, to measure photons and neutrons with excellent energy & position resolution.