Mark D. Gross, Department of Planning and Design, University of Colorado People draw diagrams and sketches to think, argue, and communicate about problems in domains ranging from mechanical engineering to music. To understand a problem better, mathematician George Polya advised, “Draw a figure ... even if your problem is not a problem of geometry.”1 We can debate whether making a figure really ...

We draw some rigorous conclusions about the functional properties of the μ − ρ relation in the Hubbard model based on symmetry considerations and unitary transformations. It is shown that the charge susceptibility reaches its local extreme at half-filling. Exact expressions are obtained in two limiting cases. PACS number(s): 75.10.Lp,71.20.Ad,74.65.+n,74.20.Mn

Single-ended protection systems present the characteristics needed to fulfil restrictive speed requirement related high voltage direct current grids. This paper proposes a novel single-ended algorithm based on DC across limiting inductors placed at each link end. Voltage measurements are taken both terminals of inductors. The ratio between link- and bus-side voltages enables fault discriminatio...

This dissertation presents a study of injection seeding in Nd:YLF Q-switched oscillators for the purposes of producing single axial mode output. The objective was to develop a prototype system and determine the limiting factors which dictate successful injection seeding. The laser system consisted of a laser diode pumped monolithic miniature Nd:YLF master oscillator which seeded a conventional ...

Public understanding of thewater system is vital in confronting contemporarywater challenges, as public support is necessary for implementing measures to address shortages and repair infrastructure. In this study, university student participants (N = 457) were asked to draw diagrams illustrating how water reaches the tap in an average home in the U.S. and is then returned to the natural environ...

From its start, the so-called Islamic State of Iraq and the Levant (ISIL/ISIS) has been successfully exploiting social media networks, most notoriously Twitter, to promote its propaganda and recruit new members, resulting in thousands of social media users adopting a pro-ISIS stance every year. Automatic identification of pro-ISIS users on social media has, thus, become the centre of interest f...

A new method for increasing LDR in deep drawing is application of anti-lock braking system (ABS) on blank holder. In this method, instead of applying a constant force on blank and control the metal flow, the ABS system holds and releases the blank several times (20 to 50 times) which results increasing LDR. This study investigates the effect of different parameters of ABS on improving the condi...