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ASEE‐NWMSC*2014‐2**C*1 Using Oral Quizzes in an Engineering Mechanics Course

"... Engineers are required to be competent technical experts and also effective communicators. This paper describes the development of a rubric for oral quizzes in engineering mechanics courses. The rubric was developed collaboratively with the engineering and world languages departments, and tested in ..."

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in a single section of Engineering Mechanics: Statics in the spring of

*2014*. The goals of the oral quizzes were to increase students ’ comfort with explaining a solution method, competency using appropriate technical language, and ability to organize the problem solving method. Oral quizzes (versus pen###
Nuclear Physics B *Proceedings* Supplement – preprint (*2014*) 1–42 Nuclear Physics B *Proceedings* Supplement Universal Aspects of QCD-like TheoriesI

"... In these lectures I review some basic examples of how the concepts of universality and scaling can be used to study aspects of the chiral and the deconfinement transition, if not in QCD directly but in QCD-like theories. As an example for flavor dynamics I discuss a quark-hadron model to describe th ..."

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the phase diagram of two-color QCD with the functional renormalization group. Universal aspects of deconfinement are illustrated mainly in the

*2*+ 1 dimensional SU(N) gauge theories with second order transition where many exact results from spin models can be exploited.### by an NSERC Discovery Grant.

, 2014

"... We study Ginzburg–Landau equations for a complex vector order parameter Ψ = (ψ+, ψ−) ∈ C2. We consider the Dirichlet problem in the disk in R2 with a symmetric, degree-one boundary condition, and study its stability, in the sense of the spectrum of the second variation of the energy. We find that t ..."

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We study Ginzburg–Landau equations for a complex vector order parameter Ψ = (ψ+, ψ−) ∈

*C**2*. We consider the Dirichlet problem in the disk in R*2*with a symmetric, degree-one boundary condition, and study its stability, in the sense of the spectrum of the second variation of the energy. We find### 1 Interference Channel with an Out-of-Band Relay

"... Abstract—A Gaussian interference channel (IC) with a relay is considered. The relay is assumed to operate over an orthogonal band with respect to the underlying IC, and the overall system is referred to as IC with an out-of-band relay (IC-OBR). The system can be seen as operating over two parallel i ..."

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Abstract—A Gaussian interference channel (IC) with a relay is considered. The relay is assumed to operate over an orthogonal band with respect to the underlying IC, and the overall system is referred to as IC with an out-of-band relay (IC-OBR). The system can be seen as operating over two parallel interferencelimited channels: The first is a standard Gaussian IC and the second is a Gaussian relay channel characterized by two sources and destinations communicating through the relay without direct links. We refer to the second parallel channel as OBR Channel (OBRC). The main aim of this work is to identify conditions under which optimal operation, in terms of the capacity region of the IC-OBR, entails either signal relaying and/or interference forwarding by the relay, with either a separable or non-separable use of the two parallel channels, IC and OBRC. Here “separable ” refers to transmission of independent information over the two constituent channels. For a basic model in which the OBRC consists of four orthogonal channels from sources to relay and from relay to destinations (IC-OBR Type-I), a condition is identified under which signal relaying and separable operation is optimal. This condition entails the presence of a relay-to-destinations capacity bottleneck on the OBRC and holds irrespective of the IC. When this condition is not satisfied, various scenarios, which depend on the IC channel gains, are identified in which interference forwarding and non-separable operation are necessary to achieve optimal performance. In these scenarios, the system exploits the “excess capacity ” on the OBRC via interference forwarding to drive the IC-OBR system in specific interference regimes (strong or mixed). The analysis is then turned to a more complex IC-OBR, in which the OBRC consists of only two orthogonal channels, one from sources to relay and one from relay to destinations (IC-OBR Type-II). For this channel, some capacity resuls are derived that parallel the conclusions for IC-OBR Type-I and point to the additional analytical challenges. I.

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#A16 INTEGERS 14 (*2014*) ON GENERALIZED ADDITION CHAINS

"... Given integers d 1, and g 2, a g-addition chain for d is a sequence of integers a0 = 1, a1, a2,..., ar1, ar = d where ai = aj1 +aj2 + · · ·+ajk, with 2 k g, and 0 j1 j2 · · · jk i 1. The length of a g-addition chain is r, the number of terms following 1 in the sequence. We denote by l ..."

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Given integers d 1, and g

*2*, a g-addition chain for d is a sequence of integers a0 = 1, a1, a*2*,..., ar1, ar = d where ai = aj1 +aj*2*+ · · ·+ajk, with*2*k g, and 0 j1 j*2*· · · jk i 1. The length of a g-addition chain is r, the number of terms following 1 in the sequence. We denote### ON MAXIMALLY INFLECTED HYPERBOLIC CURVES

"... Abstract. In this note we study the distribution of real inflection points among the ovals of a real non-singular hyperbolic curve of even degree. Using Hilbert’s method we show that for any integers d and r such that 4 ≤ r ≤ 2d2 − 2d, there is a non-singular hyperbolic curve of degree 2d in R2 with ..."

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Abstract. In this note we study the distribution of real inflection points among the ovals of a real non-singular hyperbolic curve of even degree. Using Hilbert’s method we show that for any integers d and r such that 4 ≤ r ≤

*2*d*2*−*2*d, there is a non-singular hyperbolic curve of degree*2*d in R*2*