geoscience.net logo
+ Resolve Article
+ Follow Us
Follow on FacebookFollow on Facebook
Follow on TwitterFollow on Twitter

+ Translate
+ Subscribe to Site Feed
GeoScience Most Shared ContentMost Shared Content

Linear computations


, : Linear computations. Linear computations xi+309p

This book aids research workers in finding numerical solutions for linear relations observed in their data. The material is presented first from the viewpoint of elementary algebra and then expanded to include the use of determinants and the basic computational methods used in their solution. Numerical illustrations cover each important calculation. Citations to literature and index are extensive. The historical background for the method is frequently traced but not held to be complete. The material is divided into 19 chapters. The first chapter considers methods of computation. The next two chapters cover computation with approximate numbers, methods, theorems, and errors involved and the principles of computational design including the criteria for good computational methods. Chapters 4, 5, 6, 7, and 8 deal with the solution of simultaneous equations by different methods and the relations which exist between the coefficients. Chapter 9 introduces determinants, Chapter 10 the evaluation of the determinants and the determinantal ratios. The algebra of matrices is discussed in chapter 12, with chapters 13 and 14 having to do with the inverse. Problems of computation, errors of linear computation, and applications to statistics are examined in chapters 16, 17, and 18 respectively. Chapter 19 completes the volume with a consideration of non-linear problems and interpolation. The book is designed as a text on linear computation both for class use and individual study and as a useful reference for workers in the respective and applied field.

DOI: 10.1119/1.1933162


Other references

Luo, L.G.; Jackson, I., 2007: Thyrotropin releasing hormone (TRH) may preserve pancreatic islet cell function: potential role in the treatment of diabetes mellitus. Thyrotropin Releasing Hormone (TRH), first identified in the hypothalamus as a regulator of the Pituitary-Thyroid axis, has also been found in the beta-cell of the pancreas co-localised with insulin. The significance of this association is emphasi...

Zhang, Y.; Yu, D.; Li, X.; Hu, J.; Gong, J., 2013: Reduced expression of PTEN protein and its prognostic significance in the gastrointestinal stromal tumor. Little is reported about the role of PTEN gene in the progression and prognosis of GISTs. This study examined the clinical implications of the tumor suppressor gene PTEN as a prognostic factor in the GISTs. Immunohistological staining and immunobl...

Häni, H.; Kaser, T.; Schwörer, D.; Kopf, H., 1988: Comparative histomorphometric studies of the bones of healthy fattening swine and those with osteochondrosis. Schweizer Archiv für Tierheilkunde 130(1): 5-17

Fishman, D.A.; Liu, Y.Y.ng; Ellerbroek, S.M.; Stack, S.M., 2001: Lysophosphatidic acid promotes matrix metalloproteinase activation and MMP-dependent invasion of epithelial ovarian carcinoma cells. Gynecologic Oncology 80(2): 324, February

Pardo, J.; Martinez-Peñuela, A.M.; Sola, Jús.J.; Panizo, A.; Gúrpide, A.; Martinez-Peñuela, J.M.; Lozano, M.D., 2010: Large cell carcinoma of the lung: an endangered species?. This study aims to evaluate large cell carcinomas (LCC) of the lung with a panel of immunohistochemical markers in an attempt to identify tumors belonging to other categories. We analyzed a tissue microarray platform of 101 LCC with a panel of 31...

Kobayashi O.; Okada T.; Suzuki Y.; Konishi T., 1984: Persistent non progressive tubular proteinuria in children congenital renal proximal tubular dysfunction in children. In 5 males, 3 of whom were non-familial school boys and 2 were brothers, all had the so-called symptomless proteinuria that was observed on a routine screening test at school. An analysis of urinary proteins revealed a high percentage of low MW pr...

Tanriverdi, F.; Taheri, S.; Ulutabanca, H.; Caglayan, A.Okay.; Ozkul, Y.; Dundar, M.; Selcuklu, A.; Unluhizarci, K.; Casanueva, F.F.; Kelestimur, F., 2008: Apolipoprotein E3/E3 genotype decreases the risk of pituitary dysfunction after traumatic brain injury due to various causes: preliminary data. Traumatic brain injury (TBI) is a devastating public health problem which may result in hypopituitarism. However, the mechanisms and the risk factors responsible for hypothalamo-pituitary dysfunction due to TBI are still unclear. Although APO E is...

Moralidis, E.; Papakonstantinou, E.; Arsos, G.; Boussios, N.; Koliouskas, D.; Karakatsanis, C., 2007: Tc-99m HMPAO labeled white blood cell imaging in a child with eosinophilic lung disease. In radiolabeled leukocyte imaging, Tc-99m HMPAO has a significantly higher selectivity for eosinophils than neutrophils, but this may be clinically meaningful in disorders with eosinophilic infiltration. We present the case of a 2-year-old boy wit...

Macfarlane, R.G.; Biggs, R.; Ash, B.J.; Denson, K.W., 1964: The Interaction Of Factors 8 And 9. British Journal of Haematology 10: 530-541

Chuang, Shou Hwa., 1996: The embryonic, larval and early postlarval development of the terebratellid brachiopod Calloria inconspicua (Sowerby). The present study of the terebratellid brachiopod Calloria inconspicua (Sowerby) was prompted by the discrepancy in locating the brood-space in previous studies (Percival 1944; Doherty 1979); the unique position of the pigment spots in the larva;...