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Books on the topic 'Condition numbers of matrices'

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Author: Grafiati

Published: 28 September 2022

Last updated: 28 January 2023

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1

Guattery, Stephen. Graph embedding techniques for bounding condition numbers of incomplete factor preconditioners. Hampton, Va: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1997.

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2

Smyth, W. Franklin. Analytical chemistry of complex matrices. Chichester [England]: Wiley, 1996.

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3

Vavasis, Stephen A. Condition numbers for polyhedra with real number data. Ithaca, N.Y: Cornell Theory Center, Cornell University, 1993.

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4

Papillon, Vincent. Vecteurs, matrices et nombres complexes. Mont-Royal, Québec: Modulo, 1993.

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5

Demmel, James. On condition numbers and the distance to the nearest ill-posed problem. New York: Courant Institute of Mathematical Sciences, New York University, 1985.

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6

Demmel, James W. On condition numbers and the distance to the nearest ill-posed problem. New York: Courant Institute of Mathematical Sciences, New York University, 1987.

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7

Benjamin, Arthur. Discrete mathematics. Chantilly, VA: The Teaching Company, 2009.

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8

The communistic societies of the United States: From personal visit and observation : including detailed accounts of the Economists, Zoarites, Shakers, the Amana, Oneida, Bethel, Aurora, Icarian and other existing societies : their religis creeds, social practices, numbers, industries, and present condition. New York: Harper, 1990.

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9

Canada. Parliament. House of Commons. Standing Committee on Human Resources Development and the Status of Persons with Disabilities. Beyond the numbers : the future of the social insurance number system in Canada : report of the Standing Committee on Human Resources Development and the Status of Persons with Disabilities =: Au-delà des chiffres : l'avenir du numéro d'assurance sociale au Canada : rapport du Comité permanent du développement des ressources humaines et de la condition des personnes handicapées. Ottawa, Ont: Minister of Public Works and Government Services Canada = Ministre des travaux publics et services gouvernementaux Canada, 1999.

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10

Katcher, Pollatsek Harriet Suzanne, ed. Difference sets: Connecting algebra, combinatorics and geometry. Providence, Rhode Island: American Mathematical Society, 2013.

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11

Center, Langley Research, ed. Graph embedding techniques for bounding condition numbers of incomplete factor preconditioners. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1997.

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12

Stanley, Richard P. Catalan Numbers. Cambridge University Press, 2015.

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13

Stanley, Richard P. Catalan Numbers. Cambridge University Press, 2015.

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14

Stanley, Richard P. Catalan Numbers. Cambridge University Press, 2015.

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15

Stanley, Richard P. Catalan Numbers. Cambridge University Press, 2015.

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16

Smyth, W. Franklin. Analytical Chemistry of Complex Matrices. Brand: Vieweg+Teubner Verlag, 2012.

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17

(Editor), Pavel Bleher, and Alexander Its (Editor), eds. Random Matrix Models and Their Applications. Cambridge University Press, 2001.

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18

Random matrix models and their applications. Cambridge, U.K: Cambridge University Press, 2001.

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19

F, Bedford Henry, ed. Their lives and numbers: The condition of working people in Massachusetts, 1870-1900. Ithaca: Cornell University Press, 1995.

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20

Moreton, Augustus Henry. Civilization: Or, a Brief Analysis of the Natural Laws That Regulate the Numbers and Condition of Manking. HardPress, 2020.

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21

Bedford, Henry F. Their Lives and Numbers: The Condition of Working People in Massachusetts, 1870-1900 (Documents in American Social History). Cornell Univ Pr, 1995.

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22

Bedford, Henry F. Their Lives and Numbers: The Condition of Working People in Massachusetts, 1870-1900 (Documents in American Social History). Cornell University Press, 1995.

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23

Vecteurs, matrice et nombres complexes. MODULO, 2012.

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24

Nordhoff, Charles. Communistic Societies of the United States: From Personal Visit and Observation Including Detailed Accounts of the and Other Existing Societies,their Religious Creeds, Social Practices, Numbers, Industries, and Present Condition. Independently Published, 2020.

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25

Khoruzhenko, Boris, and Hans-Jurgen Sommers. Characteristic polynomials. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.19.

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This article considers characteristic polynomials and reviews a few useful results obtained in simple Gaussian models of random Hermitian matrices in the presence of an external matrix source. It first considers the products and ratio of characteristic polynomials before discussing the duality theorems for two different characteristic polynomials of Gaussian weights with external sources. It then describes the m-point correlation functions of the eigenvalues in the Gaussian unitary ensemble and how they are deduced from their Fourier transforms U(s1, … , sm). It also analyses the relation of the correlation function of the characteristic polynomials to the standard n-point correlation function using the replica and supersymmetric methods. Finally, it shows how the topological invariants of Riemann surfaces, such as the intersection numbers of the moduli space of curves, may be derived from averaged characteristic polynomials.

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26

Peacock, Janet L., Sally M. Kerry, and Raymond R. Balise. Single group studies. Oxford University Press, 2017. http://dx.doi.org/10.1093/med/9780198779100.003.0006.

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Chapter 6 discusses single group studies, and covers prevalence, how to present results, screening studies, calculating, and presenting sensitivity and specificity. It discusses how to deal with calculations with a rare condition where the numbers are small. Finally, it discusses the use of receiver operating characteristic (ROC) curves. The chapter includes analyses using Stata, SAS, SPSS, and R.

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27

Turner, Neil. Postural proteinuria (benign orthostatic proteinuria). Edited by Neil Turner. Oxford University Press, 2015. http://dx.doi.org/10.1093/med/9780199592548.003.0051.

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Postural proteinuria, synonymous with the condition known as benign orthostatic proteinuria, describes increased levels of protein excretion associated with normalization first thing in the morning. It is usually diagnosed in children, for whom it is the most common explanation for proteinuria picked up incidentally on dipstick testing. In children, it generally resolves with age and is thought to have a benign long-term prognosis, with the caveat that numbers with very long follow-up times are few. It is also seen in teenagers but becomes much less common in early adulthood. Its aetiology is not well understood, although patients with pathological causes for proteinuria and patients with physiological levels of total protein excretion have been shown to exhibit similar diurnal variation. Using currently published limits for daily protein excretion the diagnosis is common. Some examples have been attributed to nutcracker syndrome (compression of the left renal vein), although that is more commonly associated with macroscopic haematuria, and the association remains uncertain. The condition is best diagnosed by comparing first-in-morning urine samples paired with afternoon samples on several occasions. In childhood, if proteinuria levels are in the normal range in morning samples, and within moderately increased limits later in the day, probably no investigation beyond observation is required. Most will resolve; very few will evolve into serious renal disease. The simplest mode of long-term monitoring is to measure protein:creatinine or albumin:creatinine ratios in first-in-morning urine samples.

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28

Bovens, Mark, and Anchrit Wille. Political Elites as Educational Elites. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198790631.003.0007.

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In twenty-first-century Western Europe, almost all incumbents in political office have very high formal credentials. Aristocracy, rule by the nobility, has given way to meritocracy, rule by the well-educated. This dominance of the well-educated in the legislative and executive branches is a relatively modern phenomenon. We document how citizens with primary and secondary education have disappeared from Western European parliaments in the past decades. Cabinets are even more tilted towards the well-educated. Then we show how the connection between social class and the opportunities for a political career has weakened. A university education has almost become a condition sine qua non for recruitment for political office. Thirdly, we describe how various supply and demand factors in the selection process have led to extraordinarily large numbers of highly educated citizens among the political elites.

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29

Waters, Sarah. Suicide Voices. Liverpool University Press, 2020. http://dx.doi.org/10.3828/liverpool/9781789622232.001.0001.

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This book examines the phenomenon of work suicides in France and asks why, in the present historical juncture, conditions of work can push individuals to take their own lives. During the 2000s, France experienced what commentators have described as a ‘suicide epidemic’, whereby increasing numbers of workers in the face of extreme pressures of work, chose to take their own lives. This book analyses a corpus of testimonial material linked to 66 suicide cases across three large French companies during the period from 2005 to 2015. A key aim is to consider what the extreme and subjective experiences of self-killing narrated in suicide letters can tell us about the contemporary economic order and its impact on flesh and blood experiences of work. What do rising work suicides tell us about conditions of human labour in the 21^st century? Does neoliberal economics condition a desire for suicide? How do suicidal individuals describe the causes and motivations of their self-killing? Combining critical perspectives from sociology, history, testimony studies, economics, cultural studies and public health, the book raises critical questions about the human costs of the shift to a finance-driven neoliberal order and its everyday effects within the localised spaces of the French workplace.

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30

Eckert, J., P. Deplazes, and P. Kern. Alveolar echinococcosis (Echinococcus multilocularis). Oxford University Press, 2011. http://dx.doi.org/10.1093/med/9780198570028.003.0061.

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In this chapter three forms of echinococcosis in humans are described that are caused by a larval stage (metacestode) of Echinococcus multilocularis Leuckart, 1863, Echinococcus oligarthrus (Diesing, 1863) or Echinococcus vogeli Rausch and Bernstein, 1972. E. multilocularis is the causative agent of alveolar echinococcosis (AE). In the human host the metacestode of E. multilocularis behaves like a malignant tumour, characterized by infiltrative proliferation and the potential to induce serious disease. The liver is nearly exclusively the primary site of metacestode development, but metastases may by formed in adjacent and distant organs. Typically AE exhibits a chronic progressive clinical course, which finally leads to death in up to 90% of untreated patients within 10 years after diagnosis. An undefined proportion of cases are abortive with inactivation of the parasite. Evidence has accumulated in recent years that anti-parasitic therapy with benzimidazoles (albendazole or mebendazole) over many years or lifelong, if necessary combined with interventional procedures, can inhibit disease progression and improve or stabilse the patient’s clinical condition. Radical surgery in an early stage of the infection combined with anti-parasitic therapy for two years may lead to cure. The introduction of benzimidazole therapy of AE (1977), combined with improved diagnostic and surgical procedures, has resulted in significantly increased life-expectancies of adequately treated AE patients. In highly endemic areas ultrasound population screening (partially combinated with antibody detection) has been successfully used for early detection of AE cases. Countrywide annual AE incidence rates are mostly low at approximately < 0.1 to 2.0 per 100,000 inhabitants, but they can be much higher locally. Furthermore, there are indications of emerging case numbers in some areas of Europe and Asia. In spite of relatively low case numbers, AE is a significant disease due to its severity and high costs of treatment (median costs of approximately 145,800 per case).

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31

Wyatt, Laura A., and Michael Doherty. Morphological aspects of pathology. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780199668847.003.0003.

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Osteoarthritis (OA) is the commonest condition to affect synovial joints, but although any synovial joint can be affected, most studies of pathology relate to large joints (knees and hips). OA involves the whole joint and pathological alterations typically occur in all joint tissues. Established OA is characterized by a mixture of tissue loss and new tissue production resulting in focal loss of articular hyaline cartilage together with bone remodelling and osteophyte formation. Articular cartilage may show increased thickness in the earliest stages of OA with increased numbers of hypertrophic chondrocytes, followed by progressive decline in matrix components, thickness, and chondrocyte number. Surface fibrillation and vertical clefts become evident in mid- to end-stage OA and eventual complete loss of cartilage can occur, predominantly in maximum load-bearing regions, with subsequent eburnation and furrowing of bone. Bone remodelling may lead to alteration of bone shape and variable trabecular thickness in subchondral bone, whilst subchondral microfractures may result in localized osteonecrosis, fibrosis, and ‘cysts’. Endochondral ossification of new fibrocartilage produced predominantly at the joint margin produces characteristic bony osteophytes. The synovium shows areas of hyperplasia with varying amounts of lymphocyte aggregates and inclusion of osteochondral ‘loose’ bodies, and the outer fibrous capsule thickens to help stabilize the compromised joint. Synovial fluid increases in volume but decreases in viscosity. Periarticular changes include type II muscle atrophy and enthesophytes.

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32

Zakrzewska, Joanna M., and Turo Nurmikko, eds. Trigeminal Neuralgia and Other Cranial Neuralgias. Oxford University Press, 2021. http://dx.doi.org/10.1093/med/9780198871606.001.0001.

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Trigeminal neuralgia and other cranial neuralgias comprise a group of facial pain conditions, characterized by disabling pain attacks that selectively respond to specific treatments. Although not as common as migraine they affect over 1% of the population. The spectrum of cranial neuralgias is wide and as a consequence, the conditions are managed by a range of different specialists. Studies show that delayed diagnoses and mismanagement are common and can lead to depression and suicide. This book aims to change that. It brings together the expertise of over 30 internationally recognized authors to guide the reader through the maze of pathophysiology, clinical features, diagnosis-making, and condition-specific treatments. The approach is practical and evidence based and ready for real-world applications. The value of phenotyping, targeted investigations, and treatment algorithms is emphasized. There needs to be a holistic approach with multidisciplinary teams working together and with patients being at the centre of this process and sharing the decision-making process. There remain considerable challenges but the field is rapidly evolving and there are increasing numbers of opportunities opening up to improve our understanding of these conditions and hence their management. The reader is introduced to patient scenarios, algorithms, self-administered tools for training in diagnosis and management, clinical tips, and carefully chosen references. Each chapter includes key points and a lay summary and each can be read as a stand-alone unit. The intended audience includes medical and dental postgraduates, a wide range of specialities, including primary care teams, allied healthcare professionals and expert patients.

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33

Ottonelli, Valeria, and Tiziana Torresi. The Right Not to Stay. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192866776.001.0001.

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Abstract A central question in the debate on justice in immigration is whether immigrants have a right to stay; this book argues that liberal-democratic receiving states should also grant migrants a right not to stay. This claim runs against the presumption that migrants always desire to move on a permanent basis and intend to forge a completely new life in the country of destination. From this perspective, temporary migration is always a second-best option for migrants, engendered by the closed and often punitive migration policies of receiving countries. This book’s innovative focus on the right not to stay is prompted instead by the realization that increasing numbers of migrants throughout the world conceive and plan their migratory experience as circumscribed in time and instrumental to goals and projects that they will pursue once back in their country of origin. These temporary migration projects are worthy of being accommodated by the receiving states as much as the migratory plans of those who resolve or aim to immigrate on a permanent basis. Accommodating them entails setting up the appropriate welfare measures and programmes in the host country and, through bi-lateral agreements, in the country of return. This is especially important in view of the fact that very often the migrants who engage in temporary migration projects find themselves in a condition of high vulnerability and risk. The ‘right not to stay’ advocated in this book is a positive and substantive right to see one’s project of temporary migration-and-return protected and accommodated by institutions.

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34

McShane, Tony, Peter Clayton, Michael Donaghy, and Robert Surtees. Neurometabolic disorders. Oxford University Press, 2011. http://dx.doi.org/10.1093/med/9780198569381.003.0213.

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Various disorders result from genetically determined abnormalities of enzymes, the metabolic consequences of which affect the development or functioning of the nervous system. The range of metabolic disturbances is wide, as is the resultant range of clinical syndromes. Although most occur in children, some can present in adult life, and increasing numbers of affected children survive into adult life. In some, specific treatments are possible or are being developed. The last 20 years has seen a considerable expansion in our understanding of the genetic and metabolic basis for many neurological conditions. Particular clinical presentations of neurometabolic disorders include ataxias, movement disorders, childhood epilepsies, or peripheral neuropathy. Detailed coverage of the entire range of inherited metabolic diseases of the nervous system is available in other texts (Brett 1997; Scriver et al. 2001; Menkes et al. 2005).Treatment is possible for some metabolic diseases. For instance, the devastating neurological effects of phenylketonuria have been recognized for many years. Neonatal screening for this disorder and dietary modification in the developed world has removed phenylketonuria from the list of important causes of serious neurological disability in children. This success has led to new challenges in the management of the adult with phenylketonuria and unexpected and devastating effect of the disorder on the unborn child of an untreated Phenylketonuria mother. More recently Biotinidase deficiency has been recognized as an important and easily treatable cause of serious neurological disease usually presenting with early onset drug resistant seizures. This and some other neurometabolic diseases can be identified on neonatal blood screening although a full range of screening is not yet routine in the United Kingdom. More disorders are likely to be picked up at an earlier asymptomatic stage as the sophistication of screening tests increases (Wilcken et al. 2003; Bodamer et al. 2007).Although individual metabolic disorders are rare, collectively such disorders are relatively common. In reality most clinicians will see an individual condition only rarely in a career. Furthermore, patients with certain rare conditions are often concentrated in specialist referral centres, further reducing the exposure of general and paediatric neurologists to these disorders. A recent study into progressive intellectual and neurological deterioration, PIND, gives some information about the relative frequency and distribution of some childhood neurodegenerative diseases in the United Kingdom (Verity et al. 2000; Devereux et al. 2004). Although primarily designed to identify any childhood cases of variant Creutzfeldt- Jakob disease, the study also provided much information about the distribution of neurometabolic disease in children in the United Kingdom. The commonest five causes of progressive intellectual and neurological deterioration over 5 years were Sanfilippo syndrome, 41 cases, adrenoleukodystrophy, 32 cases, late infantile neuronal ceroid lipofuschinosis, 32 cases, mitochondrial cytopathy, 30 cases, and Rett syndrome, 29 cases. Notably, geographical foci of these disorders were also found and correlate with high rate of consanguinity in some local populations.

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