Robert O. Christensen v. Ethel T. Christensen : Appellant\u27s Brief

Appeal From Judgment of the Second District Court Fot Davis County, Honorable Thornley K. Swan, Judg

Robert O. Christensen v. Ethel T. Christensen : Respondent\u27s Appeal Brief

Appeal From Judgment of the Second District Court Fot Davis County, Honorable Thornley K. Swan, Judg

Robert O. Christensen v. Ethel T. Christensen : Appellant\u27s Petition For Rehearing

Appeal From Judgment of the Second District Court Fot Davis County, Honorable Thornley K. Swan, Judg

Quantum Query Algorithms are Completely Bounded Forms

We prove a characterization of $t$-query quantum algorithms in terms of the unit ball of a space of degree-$2t$ polynomials. Based on this, we obtain a refined notion of approximate polynomial degree that equals the quantum query complexity, answering a question of Aaronson et al. (CCC'16). Our proof is based on a fundamental result of Christensen and Sinclair (J. Funct. Anal., 1987) that generalizes the well-known Stinespring representation for quantum channels to multilinear forms. Using our characterization, we show that many polynomials of degree four are far from those coming from two-query quantum algorithms. We also give a simple and short proof of one of the results of Aaronson et al. showing an equivalence between one-query quantum algorithms and bounded quadratic polynomials.Comment: 24 pages, 3 figures. v2: 27 pages, minor changes in response to referee comment

Energy landscape - a key concept for the dynamics of glasses and liquids

There is a growing belief that the mode coupling theory is the proper microscopic theory for the dynamics of the undercooled liquid above a critical temperature T_c. In addition, there is some evidence that the system leaves the saddlepoints of the energy landscape to settle in the valleys at this critical temperature. Finally, there is a microscopic theory for the entropy at the calorimetric glass transition T_g by Mezard and Parisi, which allows to calculate the Kauzmann temperature from the atomic pair potentials. The dynamics of the frozen glass phase is at present limited to phenomenological models. In the spirit of the energy landscape concept, one considers an ensemble of independent asymmetric double-well potentials with a wide distribution of barrier heights and asymmetries (ADWP or Gilroy-Phillips model). The model gives an excellent description of the relaxation of glasses up to about T_g/4. Above this temperature, the interaction between different relaxation centers begins to play a role. One can show that the interaction reduces the number of relaxation centers needed to bring the shear modulus down to zero by a factor of three.Comment: Contribution to the III Workshop on Nonequilibrium Phenomena in Supercooled Fluids, Glasses and Amorphous Materials, 22-27 September 2002, Pisa; 14 pages, 3 figures; Version 3 takes criticque at Pisa into account; final version 4 will be published in J.Phys.: Condens.Matte

JNCHC 22:1--About the authors

Owen Cantrell • Tim Christensen • Andrew J. Cognard-Black • Teal Darkenwald • Bhibha M. Das • Linda Frost • Galit Gertsenzon • Wayne Godwin • Jerry Herron • Jason T. Hilton • Elizabeth Hodge • Jessica Jordan • Matthew Carey Jordan • Christopher Keller • Andrew Martino • Lucy Morrison • Jeffrey A. Portnoy • Art L. Spisak • Aaron Stoller • Carmen Walker • Gerald Weckesser • Leah White • Betsy Greenleaf Yarriso

An Analysis of Stability Properties in Earned Value Management’s Cost Performance Index and Earned Schedule’s Schedule Performance Index

The concept of a Cost Performance Index (CPI) stability rule originated with the seminal article from Christensen and Payne in 1992 and has become routinely cited by subsequent academic literature and EVM authors. A literature review reveals that the definition of what constitutes stability has morphed over time, with three separate definitions of stability permeating the literature. Additionally, while the original Christensen research found the cumulative CPI to be stable in 86% of DoD contracts (from 155 analyzed) at the 20 percent completion point, more recent research from Henderson and Zwikael (2008) questioned the generalizability of these findings. This research reexamines the question of CPI stability in a modern portfolio of DoD contracts utilizing all three definitions of stability. Next, this research examines potential stability in the Earned Schedule SPI(t) metric. The second stage of this research investigates whether there is a difference in CPI or SPI(t) stabilities between military services, contract types, acquisition life-cycle phases, or platforms. Comparison analysis executes tests on the median stability value for each category of contract. This research finds that CPI stability both contradicts and supports the stability rule depending on the stability definition used. The SPI(t) exhibits similar stability traits to CPI stability

Utah Farm & Home Science Vol. 23 No. 4, December 1962

Rural Utah today, by George T. Blanch 91 Public services, their availability and cost, by Rondo A. Christensen 94 Reducing rural government costs, by JeDon Emenhiser 98 Rural areas development, by Stephen l. Brower 102 The quality of rural education, by Rowan Stutz 106 Trends in Utah\u27s agriculture, by George T. Blanch 110 New industries, by W. C. Palfreyman 116 Mineral resources, by M. P. Nackowski and A. J. Eardley 120 Intercepting the tourist, by S. Ross Tocher and Frank W. Kearns 12