Principal Perceptions of Walkthrough Effectiveness

Teacher quality is the most important school level factor affecting student achievement. There is a direct correlation between effective instruction provided by highly qualified teachers and increased student achievement (Colvin & Johnson, 2007)

Factoring bivariate sparse (lacunary) polynomials

We present a deterministic algorithm for computing all irreducible factors of degree $\le d$ of a given bivariate polynomial $f\in K[x,y]$ over an algebraic number field $K$ and their multiplicities, whose running time is polynomial in the bit length of the sparse encoding of the input and in $d$. Moreover, we show that the factors over \Qbarra of degree $\le d$ which are not binomials can also be computed in time polynomial in the sparse length of the input and in $d$.Comment: 20 pp, Latex 2e. We learned on January 23th, 2006, that a multivariate version of Theorem 1 had independently been achieved by Erich Kaltofen and Pascal Koira

Sharp bounds for the number of roots of univariate fewnomials

Let K be a field and t>=0. Denote by Bm(t,K) the maximum number of non-zero roots in K, counted with multiplicities, of a non-zero polynomial in K[x] with at most t+1 monomial terms. We prove, using an unified approach based on Vandermonde determinants, that Bm(t,L)<=t^2 Bm(t,K) for any local field L with a non-archimedean valuation v such that v(n)=0 for all non-zero integer n and residue field K, and that Bm(t,K)<=(t^2-t+1)(p^f-1) for any finite extension K/Qp with residual class degree f and ramification index e, assuming that p>t+e. For any finite extension K/Qp, for p odd, we also show the lower bound Bm(t,K)>=(2t-1)(p^f-1), which gives the sharp estimation Bm(2,K)=3(p^f-1) for trinomials when p>2+e

An Assessment of the Division of Juvenile Justice's Use of the Youth Level of Services/ Case Management Inventory

In June, 2010, the Alaska Division of Juvenile Justice (Division) invited the Alaska Judicial Council and the Institute of Social and Economic Research (ISER) at University of Alaska Anchorage to assist “in understanding how scores on the Division’s assessment instrument for juveniles, the Youth Level of Service/Case Management Inventory (YLS/CMI), reflect the actual recidivism of juveniles who’ve received services from the Division.” Other states had shown that YLS/CMI scores could be helpful in predicting recidivism among the youths they served, but Alaska had not yet done the comparable research. ISER and the Council agreed that the questions proposed would provide valuable information and help the Division to better address the reasons for youth recidivism.The Division of Juvenile Justice.Executive Summary / Introduction / Part 1: Research background and design / Part 2: Findings / Part 3: Summary and Conclusions / Appendice

The computational complexity of the Chow form

We present a bounded probability algorithm for the computation of the Chow forms of the equidimensional components of an algebraic variety. Its complexity is polynomial in the length and in the geometric degree of the input equation system defining the variety. In particular, it provides an alternative algorithm for the equidimensional decomposition of a variety. As an application we obtain an algorithm for the computation of a subclass of sparse resultants, whose complexity is polynomial in the dimension and the volume of the input set of exponents. As a further application, we derive an algorithm for the computation of the (unique) solution of a generic over-determined equation system.Comment: 60 pages, Latex2

The Modern Relationship Between Music and Political Preferences

Music and politics have been interconnected for centuries, and it is difficult to explain a political event without mentioning the contemporary music creation and vice versa; examples include anti-war music during the Korean and Vietnam Wars, a shift to country music with patriotic undertones after 9/11, and so on. Preliminary research suggests that there could be a connection between political ideologies and liking genres of music, but it is relatively outdated (Fox and Williams 1974). There is research surrounding how political polarization contributes to opposing attitudes and preferences (Sears and Valentino 1997, Prinz 2021), and how music has different origins and patterns (Moore 2001), but there is no concrete knowledge of a direct relationship between political polarization and musical genres that have stark sonic differences. This research intends to modernize the limited findings and discover trends between political parties, orientations, and genres of music. It is important to establish this relationship in order to DO NOT DISTRIBUTE better understand the emotionality behind politics and the effects they have on, in this case, average listeners and voters. [Full text available in May 2033 with all rights reserved by the author.