A brief introduction to equi-chordal and equi-isoclinic tight fusion frames

Equi-chordal and equi-isoclinic tight fusion frames (ECTFFs and EITFFs) are both types of optimal packings of subspaces in Euclidean spaces. In the special case where these subspaces are one-dimensional, ECTFFs and EITFFs both correspond to types of optimal packings of lines known as equiangular tight frames. In this brief note, we review some of the fundamental ideas and results concerning ECTFFs and EITFFs

Access Based Cost Estimation for Beddown Analysis

The purpose of this research is to develop an automated web-enabled beddown estimation application for Air Mobility Command in order to increase the effectiveness and enhance the robustness of beddown estimates. This includes generating rough order of magnitude cost estimates for the potential beddown of air mobility assets as well as serving as a centralized data warehouse for current and future scenarios. The application developed is intended to provide the analyst with the maximum amount of both quantitative and qualitative input for any potential decision to quickly identify infrastructure requirement shortfalls and associated costs to satisfy those shortfalls. The application can also be used to train office personnel on actual beddown procedures

Effect of Co doping and hydrostatic pressure on SrFe2As2

We report a pressure study on electron doped SrFe$_{2-x}$Co$_x$As$_2$ by electrical-resistivity ($\rho$) and magnetic-susceptibility ($\chi$) experiments. Application of either external pressure or Co substitution rapidly suppresses the spin-density wave ordering of the Fe moments and induces superconductivity in SrFe$_2$As$_2$. At $x=0.2$ the broad superconducting (SC) dome in the $T-p$ phase diagram exhibits its maximum $T_{c,{\rm max}}=20$ K at a pressure of only $p_{\rm max}\approx 0.75$ GPa. In SrFe$_{1.5}$Co$_{0.5}$As$_2$ no superconductivity is observed anymore up to 2.8 GPa. Upon increasing the Co concentration the maximum of the SC dome shifts toward lower pressure accompanied by a decrease in the value of $T_{c,{\rm max}}$. Even though, superconductivity is induced by both tuning methods, Co substitution leads to a much more robust SC state. Our study evidences that in SrFe$_{2-x}$Co$_x$As$_2$ both, the effect of pressure and Co-substitution, have to be considered in order to understand the SC phase-diagram and further attests the close relationship of SrFe$_2$As$_2$ and its sister compound BaFe$_2$As$_2$.Comment: 6 pages, 6 figure

Alien Registration- Ramsdell, Jasper E. (Lubec, Washington County)

https://digitalmaine.com/alien_docs/2465/thumbnail.jp

Tumor markers in T1-T2 laryngeal squamous cell carcinoma:Considerations on a clinical and biological level

Early stage laryngeal cancer is predominantly treated with radiotherapy. However, in 40% of these patients the tumor does not respond or returns after a while. Often an extensive surgical procedure is the only remaining curative option, at a regular basis accompanied by wound complications, a long hospital admittance and even impaired survival. For that reason, lots of research is focused on tumor markers. Tumor markers are proteins in tumor cells with which potentially tumors that will not react well to radiotherapy can be identified. These tumors might need an alternative and more aggressive treatment. Previously, research focusing on tumor markers in early-stage laryngeal cancer of the vocal cords (glottis) demonstrated a predictive value for the efficacy of radiotherapy in the case of, amongst others, HIF-1a, CA-IX, pFADD. Jan Edward Wachters evaluated the predictive value of these markers in a comparable group of patients with early stage laryngeal cancer, originated in the area just above the glottis, the supraglottis. He demonstrated that these tumor markers in this area did not show any predictive significance. On the other side, Wachters demonstrated that the expression of PTEN, a key protein involved in DNA-repair, did have predictive value in early stage cancer of the supraglottis. It has been known that early-stage cancer of the glottis and supraglottis demonstrate clinical and epidemiological differences. Wachters has shown that these 2 types of tumor have molecular and tumor biological differences as well. These findings can have consequences for the interpretation of earlier reported results of tumor marker research and for the study designs, focusing on tumor markers, in the future

Uniform determinantal representations

The problem of expressing a specific polynomial as the determinant of a square matrix of affine-linear forms arises from algebraic geometry, optimisation, complexity theory, and scientific computing. Motivated by recent developments in this last area, we introduce the notion of a uniform determinantal representation, not of a single polynomial but rather of all polynomials in a given number of variables and of a given maximal degree. We derive a lower bound on the size of the matrix, and present a construction achieving that lower bound up to a constant factor as the number of variables is fixed and the degree grows. This construction marks an improvement upon a recent construction due to Plestenjak-Hochstenbach, and we investigate the performance of new representations in their root-finding technique for bivariate systems. Furthermore, we relate uniform determinantal representations to vector spaces of singular matrices, and we conclude with a number of future research directions.Comment: 23 pages, 3 figures, 4 table

Strand plasticity governs fatigue in colloidal gels

Repeated loading of a solid leads to microstructural damage that ultimately results in catastrophic material failure. While posing a major threat to the stability of virtually all materials, the microscopic origins of fatigue, especially for soft solids, remain elusive. Here we explore fatigue in colloidal gels as prototypical inhomogeneous soft solids by combining experiments and computer simulations. Our results reveal how mechanical loading leads to irreversible strand stretching, which builds slack into the network that softens the solid at small strains and causes strain hardening at larger deformations. We thus find that microscopic plasticity governs fatigue at much larger scales. This gives rise to a new picture of fatigue in soft thermal solids and calls for new theoretical descriptions of soft gel mechanics in which local plasticity is taken into account.Comment: 5 pages, 4 figure

Accounting for toponyms with multiple classifiers in Colonial Valley Zapotec

Toponyms are place names which have certain common linguistic properties across languages. Toponyms are typically formed by the combination of descriptive morphemes and noun classifiers (Ursini 2017). Southern Zapotec (SZ) languages are primarily spoken in the Southern Sierra Madre region of Oaxaca, Mexico. Southern Zapotec toponyms appear to have similar structures compared to those in the four languages analyzed by Ursini (2017), with spatial classifiers and descriptive morphemes merging to create a phrase which carries spatial features. Beam de Azcona (2012) categorizes Southern Zapotec toponyms according to whether there are no classifiers, one classifier, or multiple classifiers, as well as whether they contain relational nouns. This paper assesses a corpus of Colonial Valley Zapotec (CVZ) toponyms to determine whether the analysis in Beam de Azcona (2012) of toponyms with multiple classifiers in Southern Zapotec languages can be extended to describe the CVZ data as well. The corpus was created through the keyword searching of contemporary Spanish translations of Zapotec manuscripts on the digital text explorer Ticha. Then, the corpus was analyzed by standardizing spelling and sorting alphabetically to identify any pairs of toponyms that differ only by a singular morpheme. Through the identification of these toponym pairs, evidence was found to support both types of toponyms with multiple classifiers as described in Beam de Azcona (2012). Many examples demonstrate optionality with the initial classifier in a toponym with multiple classifiers, while a couple of examples suggest possible optionality with an internal classifier. The results are consistent with the categories provided by Beam de Azcona (2012), although a few data points raise questions for further inquiry