WEAK ISOMETRIES OF HAMMING SPACES

In this thesis we study weak isometries of Hamming spaces. These are permutations of a Hamming space that preserve some but not necessarily all distances. We wish to find conditions under which a weak isometry is in fact an isometry. This type of problem was first posed by Beckman and Quarles for Rn. In chapter 2 we give definitions pertinent to our research. The 3rd chapter focuses on some known results in this area with special emphasis on papers by V. Krasin as well as S. De Winter and M. Korb who solved this problem for the Boolean cube, that is, the binary Hamming space. We attempted to generalize some of their methods to the non-boolean case. The 4th chapter has our new results and is split into two major contributions. Our first contribution shows if n=p or p < n2, then every weak isometry of Hnq that preserves distance p is an isometry. Our second contribution gives a possible method to check if a weak isometry is an isometry using linear algebra and graph theory.

Mass spectrometry based characterization of Hb Beckman variant in a falsely elevated HbA(1c) sample

Glycated hemoglobin (HbA(1c)) is a `gold standard' biomarker for assessing the glycemic index of an individual. HbA(1c) is formed due to nonenzymatic glycosylation at N-terminal valine residue of the P-globin chain. Cation exchange based high performance liquid chromatography (CE HPLC) is mostly used to quantify HbA(1c), in blood sample. A few genetic variants of hemoglobin and post-translationally modified variants of hemoglobin interfere with CE HPLC-based quantification,. resulting in its false positive estimation. Using mass spectrometry, we analyzed a blood sample with abnormally high HbA(1c) (52.1%) in the CE HPLC method. The observed HbA(1c) did not corroborate the blood glucose level of the patient. A mass spectrometry based bottom up proteomics approach, intact globin chain mass analysis, and chemical modification of the proteolytic peptides identified the presence of Hb Beckman, a genetic variant of hemoglobin, in the experimental sample. A similar surface area to charge ratio between HbA(1c) and Hb Beckman might have resulted in the coelution of the variant with HbA(1c) in CE HPLC. Therefore, in the screening of diabetes mellitus through the estimation of HbA(1c), it is important to look for genetic variants of hemoglobin in samples that show abnormally high glycemic index, and HbA(1c) must be estimated using an alternative method. (C) 2015 Elsevier Inc. All rights reserved.

Beckman Hall construction

Digging the foundation of the Arnold and Mabel Beckman Business and Technology Hall, Chapman University, Orange, California, 1997. Architect: Dworsky Associates; Contractor: Turner Construction.

Architectural drawing for Beckman Hall

Architectural drawing of the site for the Arnold and Mabel Beckman Business and Technology Hall, Chapman University, Orange, California, ca. 1997.

Digging Beckman Hall foundation, Chapman University, Orange, California

Digging the foundation for the Arnold and Mabel Beckman Business and Technology Hall, Chapman University, Orange, California, ca. 1997. Turner Construction, contractor.

Beckman Hall construction

Digging the foundation for the Arnold and Mabel Beckman Business and Technology Hall, Chapman University, Orange, California, ca. 1997. Turner Construction, contractor.

Digging the foundation for Beckman Hall, Chapman University, Orange, California

Digging the foundation for the Arnold and Mabel Beckman Business and Technology Hall, Chapman University, Orange, California, ca. 1997. Turner Construction, contractor.

Beckman Hall construction

Digging the foundation for the Arnold and Mabel Beckman Business and Technology Hall, Chapman University, Orange, California, ca. 1997. Turner Construction, contractor.

Building foundation of Beckman Hall

Digging the foundation for the Arnold and Mabel Beckman Business and Technology Hall, Chapman University, Orange, California, ca. 1997. Turner Construction, contractor.

O processo de avaliação dos alunos do 1º ano do ensino médio do centro de ensino Manoel Beckman (São Luís-MA)

Analisar o processo de avaliação dos alunos do 1º ano do Ensino Médio do Centro de Ensino Manoel Beckman é o objetivo desta dissertação caracterizada como um estudo de caso. Para tanto se utilizou metodologia de abordagem qualitativa, por meio de aplicação de entrevistas e questionários além da observação direta aos sujeitos envolvidos, professores (as) e alunos (as) do 1º ano do Ensino Médio. Percebeu-se no desenvolvimento da investigação que a avaliação é direcionada, e, embora usando diversos instrumentos considerados modernos, esta classifica os alunos fazendo uma seleção dos que podem ser aprovados e dos que não podem ser aprovados. Concluiu-se que o trabalho foi significativo, à medida que nos possibilitou conhecer os sujeitos investigados e como a avaliação desempenha uma função classificatória e autoritária na escola, visto que a maioria dos (as) alunos (as) e professores (as) estão preocupados mais com a nota da prova para passar de ano do que com a aprendizagem, apesar desta ser significativa para eles, assim sugere-se que a escola trabalhe a avaliação da aprendizagem, não somente no sentido de aprovar ou reprovar, mas de contribuir com o educando para que ele possa conquistar sua autonomia para o exercício da cidadania.

Evaluación del nuevo Contador Hematológico Unicel ® DXH 800 – Beckman Coulter en el estudio citológico de los liquidos biológicos

Poster apresentado no LVII Congreso Nacional de la Sociedad Española de Hematología y Hemoterapia (SEHH)/ XXXI Congreso Nacional de la Sociedad Española de Trombosis y Hemostasia (SETH), 22-24 Outubro 2015, Valencia.

The poetical works of Richard Crashaw and Quarles' Emblems. With memoir and critical dissertations,

Mode of access: Internet.