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Recent documents in Wyoming Scholars Repositoryen-usSun, 26 Mar 2017 01:43:09 PDT3600The Enhanced Principal Rank Characteristic Sequence for Hermitian Matrices
http://repository.uwyo.edu/ela/vol32/iss/5
http://repository.uwyo.edu/ela/vol32/iss/5Mon, 13 Mar 2017 10:20:18 PDT
The enhanced principal rank characteristic sequence (epr-sequence) of an $n\x n$ matrix is a sequence $\ell_1 \ell_2 \cdots \ell_n$, where each $\ell_k$ is ${\tt A}$, ${\tt S}$, or ${\tt N}$ according as all, some, or none of its principal minors of order $k$ are nonzero. There has been substantial work on epr-sequences of symmetric matrices (especially real symmetric matrices) and real skew-symmetric matrices, and incidental remarks have been made about results extending (or not extending) to (complex) Hermitian matrices. A systematic study of epr-sequences of Hermitian matrices is undertaken; the differences with the case of symmetric matrices are quite striking. Various results are established regarding the attainability by Hermitian matrices of epr-sequences that contain two ${\tt N}$s with a gap in between. Hermitian adjacency matrices of mixed graphs that begin with ${\tt NAN}$ are characterized. All attainable epr-sequences of Hermitian matrices of orders $2$, $3$, $4$, and $5$, are listed with justifications.
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Steve Butler et al.Self-interlacing polynomials II: Matrices with self-interlacing spectrum
http://repository.uwyo.edu/ela/vol32/iss/4
http://repository.uwyo.edu/ela/vol32/iss/4Mon, 13 Mar 2017 10:20:13 PDT
An $n\times n$ matrix is said to have a self-interlacing spectrum if its eigenvalues $\lambda_k$, $k=1,\ldots,n$, are distributed as follows: $$ \lambda_1>-\lambda_2>\lambda_3>\cdots>(-1)^{n-1}\lambda_n>0. $$ A method for constructing sign definite matrices with self-interlacing spectrum from totally nonnegative ones is presented. This method is applied to bidiagonal and tridiagonal matrices. In particular, a result by O. Holtz on the spectrum of real symmetric anti-bidiagonal matrices with positive nonzero entries is generalized.
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Mikhail TyaglovAnthem: A Reflection on Goodness and What It Means to Be Catholic
http://repository.uwyo.edu/honors_theses_16-17/21
http://repository.uwyo.edu/honors_theses_16-17/21Fri, 03 Mar 2017 10:15:22 PST
This project is a non-fiction creative writing piece that involves my struggle to define the meaning of being “good” and to ultimately find peace in the way that I practice my Catholic religion. The research included many autobiographies of religious figures and a guide to writing personal essays. These books showed me how others have approached this topic in the past and gave me guidance in how to format this personal essay. The non-fiction personal essay genre includes the elements of a conversational tone, honesty, and self-discovery. I used these elements in telling my story to express my struggles in practicing my religion, and I eventually came to the conclusion that goodness is not as easily defined as black and white.
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Alyx StaianoGeneralized left and right Weyl spectra of upper triangular operator matrices
http://repository.uwyo.edu/ela/vol32/iss/3
http://repository.uwyo.edu/ela/vol32/iss/3Sun, 26 Feb 2017 16:07:33 PST
In this paper, for given operators $A\in\B(\H)$ and $B\in\B(\K)$, the sets of all $C\in \B(\K,\H)$ such that $M_C=\bmatrix{cc} A&C\\0&B\endbmatrix$ is generalized Weyl and generalized left (right) Weyl, are completely described. Furthermore, the following intersections and unions of the generalized left Weyl spectra $$ \bigcup_{C\in\B(\K,\H)}\sigma^g_{lw}(M_C) \;\;\; \mbox{and} \;\;\; \bigcap_{C\in\B(\K,\H)}\sigma^g_{lw}(M_C) $$ are also described, and necessary and sufficient conditions which two operators $A\in\B(\H)$ and $B\in\B(\K)$ have to satisfy in order for $M_C$ to be a generalized left Weyl operator for each $C\in\B(\K,\H)$, are presented.
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Guojun Hai et al.Best Practices in Co-teaching Mathematics, Teacher Efficacy, and Teacher and Student Perceptions
http://repository.uwyo.edu/smtc_plan_b/51
http://repository.uwyo.edu/smtc_plan_b/51Mon, 20 Feb 2017 11:14:18 PSTStudents that qualify for special education services, with a learning disability in math, may receive these services through a variety of formats. Co-teaching is an instructional teaching model that provides an opportunity for students to receive instruction in the least restrictive environment (LRE). An extensive literature review was completed in order to identify best practices and effective co-teaching practices in mathematics classrooms. A clearly defined purpose for co-teaching and selecting co-teaching partners is key to the success of co-teaching. Also, student and teacher perceptions impact the implementation of co-teaching. The effectiveness of co-teaching is further impacted by co-teaching practices, along with the use of effective mathematical teaching strategies. The balance of maintaining effective co-teaching practices and mathematical teaching strategies is integral to the success of co-teaching. The ideal implementation of this teaching model is a shared partnership between a general education teacher and a special education teacher. The literature revealed a lack of a consistent definition of what effective co-teachers are. Comparing results across studies is difficult when the participant base and operational definition of participants can vary widely. Also, there is generally a lack of focus on student outcomes in co-teaching research. Student outcomes are important to include in studies in order to determine if students are showing growth in co-taught classrooms. Finally, there is minimal research on co-teaching in mathematics. Mathematics has been identified in the research as one of the most difficult content areas to merge with special education due to spiraling and cumulative knowledge.
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Nanna M. Rexroat-FrazierConstitutional Law - When States Break Promises: Defining Property Interests in the Procedural Due Process Context, Town of Castle Rock v. Gonzales
http://repository.uwyo.edu/wlr/vol6/iss2/15
http://repository.uwyo.edu/wlr/vol6/iss2/15Wed, 15 Feb 2017 12:53:25 PSTMackenzie WilliamsGeneral Law DivisionSecurities Law - The Artificially Inflated Purchase Price Theory: An Economically Sound Yet Legally Insufficient Method of Pleading and Proving Loss Causation, Dura Pharmaceuticals v. Broudo
http://repository.uwyo.edu/wlr/vol6/iss2/14
http://repository.uwyo.edu/wlr/vol6/iss2/14Wed, 15 Feb 2017 12:53:22 PSTRyan S. ThorsonGeneral Law DivisionEducation Law - Fundamentally Flawed: Wyoming's Failure to Protect a Student's Right to an Education, RM v. Washakie County School District Number One
http://repository.uwyo.edu/wlr/vol6/iss2/13
http://repository.uwyo.edu/wlr/vol6/iss2/13Wed, 15 Feb 2017 12:53:17 PSTO'Kelley H. PearsonGeneral Law DivisionCriminal Law - Have Drug Dogs Taken a Bite out of the Fourth Amendment - Illinois v. Cabelles
http://repository.uwyo.edu/wlr/vol6/iss2/12
http://repository.uwyo.edu/wlr/vol6/iss2/12Wed, 15 Feb 2017 12:53:10 PSTMervin MecklenburgGeneral Law DivisionTort Law - Loss of Chance in Wyoming: Alive, but for How Long - McMackin v. Johnson County Healthcare Center
http://repository.uwyo.edu/wlr/vol6/iss2/11
http://repository.uwyo.edu/wlr/vol6/iss2/11Wed, 15 Feb 2017 12:53:07 PSTChenoa C. AllenGeneral Law DivisionDirector Oversight and Monitoring: The Standard of Care and the Standard of Liability Post-Enron
http://repository.uwyo.edu/wlr/vol6/iss2/10
http://repository.uwyo.edu/wlr/vol6/iss2/10Wed, 15 Feb 2017 12:53:03 PSTRegina F. BurchGeneral Law DivisionConservation Easements - Preserving Privately Owned Natural Habitats: Guidance for Interpreting
http://repository.uwyo.edu/wlr/vol6/iss2/9
http://repository.uwyo.edu/wlr/vol6/iss2/9Wed, 15 Feb 2017 12:53:00 PSTNicholas M. AgopianLand & Water DivisionIs the EPA's Unitary Waters Theory All Wet
http://repository.uwyo.edu/wlr/vol6/iss2/8
http://repository.uwyo.edu/wlr/vol6/iss2/8Wed, 15 Feb 2017 12:52:57 PSTHeidi HandeLand & Water DivisionDemanding Beneficial Use: Opportunities and Obligations for Wyoming Regulators in Coalbed Methane
http://repository.uwyo.edu/wlr/vol6/iss2/7
http://repository.uwyo.edu/wlr/vol6/iss2/7Wed, 15 Feb 2017 12:52:53 PSTAnne MacKinnon et al.Land & Water DivisionWater Issues during the First Term of the Bush-Cheney Administration
http://repository.uwyo.edu/wlr/vol6/iss2/6
http://repository.uwyo.edu/wlr/vol6/iss2/6Wed, 15 Feb 2017 12:52:49 PSTThomas L. SansonettiSymposiumClimate Change and Water: A Long-Term Perspective
http://repository.uwyo.edu/wlr/vol6/iss2/5
http://repository.uwyo.edu/wlr/vol6/iss2/5Wed, 15 Feb 2017 12:52:41 PSTLisa GraumlichSymposiumWater and the West
http://repository.uwyo.edu/wlr/vol6/iss2/4
http://repository.uwyo.edu/wlr/vol6/iss2/4Wed, 15 Feb 2017 12:52:36 PSTBill BradleySymposiumFew Ironies of Western Water Law, A
http://repository.uwyo.edu/wlr/vol6/iss2/3
http://repository.uwyo.edu/wlr/vol6/iss2/3Wed, 15 Feb 2017 12:52:30 PSTReed D. BensonSymposiumHistoric and Future Challenges in Western Water Law: The Case of Wyoming
http://repository.uwyo.edu/wlr/vol6/iss2/2
http://repository.uwyo.edu/wlr/vol6/iss2/2Wed, 15 Feb 2017 12:52:22 PSTAnne MacKinnonSymposiumIntroduction to the Culture of Water Symposium
http://repository.uwyo.edu/wlr/vol6/iss2/1
http://repository.uwyo.edu/wlr/vol6/iss2/1Wed, 15 Feb 2017 12:52:18 PSTCharles WilkinsonSymposium