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Relationship Between Mathematical Sciences And Employment It In Education In Mathematics, K. Kadirov,, T Bakirov,, X. Kadirova
Relationship Between Mathematical Sciences And Employment It In Education In Mathematics, K. Kadirov,, T Bakirov,, X. Kadirova
Scientific journal of the Fergana State University
In this article the importance of interdisciplinary communication in preparation of mathematics teachers is considered.
Relationship Between Mathematical Sciences And Employment It In Education In Mathematics, K. Kadirov,, T Bakirov,, X. Kadirova
Relationship Between Mathematical Sciences And Employment It In Education In Mathematics, K. Kadirov,, T Bakirov,, X. Kadirova
Scientific journal of the Fergana State University
In this article the importance of interdisciplinary communication in preparation of mathematics teachers is considered.
Relations Between Theta Functions Of Genus One And Two From Geometry, Thomas Hill
Relations Between Theta Functions Of Genus One And Two From Geometry, Thomas Hill
Undergraduate Honors Capstone Projects
Genus-two curves with special symmetries are related to pairs of genus-one curves by two and three-sheeted ramified coverings. This classical work dates back to early 20th century and is known as Jacobi and Hermite reduction. Jacobians of genus-two curves can be used to construct complex two-dimensional complex projective manifolds known as Kummer surfaces. On the other hand, the defining coordinates and parameters of both elliptic curves and Kummer surfaces can be related to Riemann Theta functions and Siegel Theta functions, respectively. This result goes back to the seminal work of Mumford in the 1980s. We use the geometric relation between …
Dalton State College Apex Calculus, Thomas Gonzalez, Michael Hilgemann, Jason Schmurr
Dalton State College Apex Calculus, Thomas Gonzalez, Michael Hilgemann, Jason Schmurr
Mathematics Open Textbooks
This text for Analytic Geometry and Calculus I, II, and III is a Dalton State College remix of APEX Calculus 3.0. The text was created through a Round Six ALG Textbook Transformation Grant.
Topics covered in this text include:
- Limits
- Derivatives
- Integration
- Antidifferentiation
- Sequences
- Vectors
Files can also be downloaded on the Dalton State College GitHub:
https://github.com/DaltonStateCollege/calculus-text/blob/master/Calculus.pdf
Accessible files with optical character recognition (OCR) and auto-tagging provided by the Center for Inclusive Design and Innovation.
Analytic Geometry And Calculus I, Ii, & Iii (Dalton), Thomas Gonzalez, Michael Hilgemann, Jason Schmurr
Analytic Geometry And Calculus I, Ii, & Iii (Dalton), Thomas Gonzalez, Michael Hilgemann, Jason Schmurr
Mathematics Grants Collections
This Grants Collection for Analytic Geometry and Calculus I, II, & III was created under a Round Six ALG Textbook Transformation Grant.
Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.
Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:
- Linked Syllabus
- Initial Proposal
- Final Report
The Convex Body Isoperimetric Conjecture In The Plane, John Berry, Eliot Bongiovanni, Wyatt Boyer, Bryan Brown, Paul Gallagher, David Hu, Alyssa Loving, Zane Martin, Maggie Miller, Byron Perpetua, Sarah Tammen
The Convex Body Isoperimetric Conjecture In The Plane, John Berry, Eliot Bongiovanni, Wyatt Boyer, Bryan Brown, Paul Gallagher, David Hu, Alyssa Loving, Zane Martin, Maggie Miller, Byron Perpetua, Sarah Tammen
Rose-Hulman Undergraduate Mathematics Journal
The Convex Body Isoperimetric Conjecture states that the least perimeter needed to enclose a volume within a ball is greater than the least perimeter needed to enclose the same volume within any other convex body of the same volume in Rn. We focus on the conjecture in the plane and prove a new sharp lower bound for the isoperimetric profile of the disk in this case. We prove the conjecture in the case of regular polygons, and show that in a general planar convex body the conjecture holds for small areas.
Optimal Weak Parallelogram Constants For L-P Spaces, Raymond Cheng, Javad Mashreghi, William T. Ross
Optimal Weak Parallelogram Constants For L-P Spaces, Raymond Cheng, Javad Mashreghi, William T. Ross
Department of Math & Statistics Faculty Publications
Inspired by Clarkson's inequalities for L-p and continuing work from [5], this paper computes the optimal constant C in the weak parallelogram laws parallel to f + g parallel to(r )+ C parallel to f - g parallel to(r )= 2(r-1 )(parallel to f parallel to(r) + parallel to g parallel to(r)) for the L-p spaces, 1 < p < infinity.
Generalized Characteristics Of A Generic Polytope, Tommy Naugle
Generalized Characteristics Of A Generic Polytope, Tommy Naugle
Electronic Theses and Dissertations
For a smooth hypersurface S ⊂ R 2n given by the level set of a Hamiltonian function H, a symplectic form ω on R2n induces a vector field XH which flows tangent to S. By the nondegeneracy of ω, there exists a distinguished line bundle LS whose characteristics are the integral curves of XH. When S is the boundary of a smooth convex domain K˜ ⊂ R 2n, then the least action among closed characteristics of LS is equal to the Ekeland-Hofer-Zehnder capacity, a symplectic invariant. From a result due to Artstein-Avidan and Ostrover, there exists a continuous extension of …
Geometric Serendipity, Dakota Becker
Geometric Serendipity, Dakota Becker
AUCTUS: The Journal of Undergraduate Research and Creative Scholarship
The central focus of my practice is the serendipitous exploration into geometry, symmetry, design, and color. I have found more and more that the affinity I have for hard-edge geometric abstraction is a deeper reflection of the way in which I process my thoughts and surroundings. In the past year, I have sought to challenge myself by questioning the core of my practice and pushing it to go beyond its individual elements. In this way, I seek to create work that is more than its parts. As a result, I have become more purposeful with my designs and push both …
Advanced Enrichment Topics In An Honors Geometry Course, Kayla Woods
Advanced Enrichment Topics In An Honors Geometry Course, Kayla Woods
Masters Essays
No abstract provided.
Using Geogebra To Explore Properties Of Circles In Euclidean Geometry, Erin Hanna
Using Geogebra To Explore Properties Of Circles In Euclidean Geometry, Erin Hanna
Masters Essays
No abstract provided.
Geometry Of Derived Categories On Noncommutative Projective Schemes, Blake Alexander Farman
Geometry Of Derived Categories On Noncommutative Projective Schemes, Blake Alexander Farman
Theses and Dissertations
Noncommutative Projective Schemes were introduced by Michael Artin and J.J. Zhang in their 1994 paper of the same name as a generalization of projective schemes to the setting of not necessarily commutative algebras over a commutative ring. In this work, we study the derived category of quasi-coherent sheaves associated to a noncommutative projective scheme with a primary emphasis on the triangulated equivalences between two such categories.
We adapt Artin and Zhang’s noncommutative projective schemes for the language of differential graded categories and work in Ho (dgcatk), the homotopy category of differential graded categories, making extensive use of Bertrand Toën’s Derived …