... we have eliminated the indices of summation a, b, c, j, and d in that order by using the identity ∞ aa xj x = j (1 − x)j+1 a= 0 in addition to the binomial theorem and repeated summation of geometric ... means that the matrix has at most m distinct eigenvalues, and in fact we can compute all of them: Proposition 2.2 The eigenvalues of M ≤ k < m n,m are precisely the values (n − k)(m − k) for the ... ,Γ2 = otherwise We may attempt to show that M n,m is invertible by diagonalizing it A series of related computations using a combination of Sage and LinBox [8, 3] suggested many ofthe following...
... for the complete bipartite graph with parts of size s and t; - f |X for the restriction ofa map f to a set X Specific notation Suppose that G and H are graphs, and let X be an induced subgraph of ... induction Proofs The proofs of Theorems and are almost identical, so we shall present only the proof of Theorem 2, for it needs more care We deduce Theorem from the following technical statement Theorem ... completing the induction step and the proof of Theorem References [1] B Bollob´s, Modern Graph Theory, Graduate Texts in Mathematics, 184, Springera Verlag, New York (1998) [2] L Lov´sz, Combinatorial...
... By mapping the generators a1 and a2 of H to a pair of generators for G, and all the other canonical generators of H to the identity, we obtain an epimorphism H → G The kernel K is a normal subgroup ... Proof The argument is similar to that used for Theorem 3.1, except that now the generators a1 and b1 of H are mapped to a pair of generators of G, and the rest to the identity In particular, by taking ... journal of combinatorics 17 (2010), #R148 26 and −1 + i, the vertex at to and + i, and the vertex at 2i to + i and −1 + i We have then, at this stage, three triangular faces and one face of valency...
... 20 Probability of Negative Outcome • What are the possible ways to achieve a positive outcome? • Three ways: Head-Head, Head-Tail, Tail-Head • What are the possible ways to achieve a negative ... What is the probability of receiving an A in both classes? • If you have already received an A in English, what is the probability of receiving an A in Math? • Are there any other factors that might ... Operational Environment (COE) variables and actors • Standard: With at least 80% accuracy: • Identify and enter relevant report data into macro enabled templates to solve Probability equations...
... capacity ofthe system is above 22.8 Ah, the system is reliable, though the capacity ofa battery is lower than 5700 mAh Suppose the capacity ofthe first branch is 5600 mAh and the capacity of ... V RELIABILITY ANALYSIS OFTHE POWER SYSTEM The reliability ofthe power system is analyzed using the multi -state system theory According to (2), the universal generating function ofthe battery ... compared 97 (1) The reliability ofthe power system obtained by the traditional system reliability theory is always conservative [5] (2) The power system is a multi -state system The multistate...
... Health Education Materials: A Guide for theStateof New Jersey The following checklist has been developed to assist the health educator in several ways: Create health education materials that ... further define health promotion as "educational and environmental supports" that create conditions of living that support and maintain health Health education is one of several strategies that are ... Lastly is the format that will address language, visuals, style, etc Language Language that matches the cross-cultural needs of client and provider Has simple, clear and familiar words Appropriate...
... oftheState University of Campinas, Campinas, São Paulo RESULTS The data analyzed came from a total of 958 individuals—929 males and 029 females 60 years of age or more The mean age ofthe sample ... in theStateof São Paulo from 2001–2002 (São Paulo State Health Survey (ISA-SP)) Sample population The following areas were included in the ISA-SP: the cities of Botucatu and Campinas; an area ... negative impact on the vitality and general health scales, which indicate fatigue, lack of energy, and negative feelings on the part of elderly patients The World Health Organization proposal...
... Cataloging-in-Publication Data Pauly, D (Daniel) In a perfect ocean : thestateof fisheries and ecosystems in the North Atlantic Ocean / Daniel Pauly and Jay Maclean p cm (The stateofthe world’s oceans ... until they had already had their impact on the fisheries Past Abundance in the North Atlantic The earliest accounts that we have of fish populations in the North Atlantic make it clear that both ... Sea was the basis ofthe wealth and importance ofthe cities that made up the Hanseatic League Because of this fishery, Copenhagen was established and became the Danish capital The Dutch became...
... for the H49V mutant, 5¢-AGTACATGTGGGACGTCAC CATGGAGTATGTCCC-3¢ (forward) and 5¢-GGGACAT ACTC CATGGTGACGTCCCACATGTACT-3¢ (reverse); for the H89V mutant, 5¢-TCTGCTGCAGCA GGGTGTT GAGAAGCGCTGGATG-3¢ ... dissociation process was analyzed in detail by calculating the peak area during the dissociation process The rate of change in the peak area shown in Fig 3A was estimated according to an equation of ... properties of CDase I-5 was examined at various concentrations of KCl First, the role of KCl in dissociation of CDase I-5 was investigated by analytical ultracentrifugation As the KCl concentration was...
... grievous In other words, it is the declaration of war that makes the provocation a provocation, and we could say that the war makes the provocation as much as the provocation makes the war Thus it ... the paradigm case ofthe abetting cause An artisan can be understood as a midwife rather than an imposer If we think of any maker or craftsman not as a laser beam but as a Michelangelo, as a respecter ... that they are universals; in the word “chalice” all actual and possible chalices are included The word touches what unites all the particular instances, what gathers them together, what they all...
... to the Governor and the Legislature oftheStateof Hawaii Conducted by The Auditor Stateof Hawaii and PricewaterhouseCoopers LLP Submitted by THE AUDITOR STATEOF HAWAII Report No 04-06 March ... Organization The adjutant general is the head ofthe department and the director of civil defense for theState He is the commanding general ofthe Hawaii National Guard and responsible for Hawaii ... Legislature Under its assigned missions, the office conducts the following types of examinations: Financial audits attest to the fairness ofthe financial statements of agencies They examine the adequacy...
... certain capital asset costs and the related accumulated depreciation Additionally, the department restated the prior-period capital assets balance to reflect additional capital assets that should ... Property and Fiscal Office Engineering Office Hawaii Army National Guard Division Administrative Services Office Hawaii Air National Guard Division Public Affairs Office Quality Office Hawaii State ... Chapter 1: Introduction Exhibit 1.1 Department of Defense Stateof Hawaii Office ofthe Adjutant General Organizational Chart Senior Army Advisor Senior Air Force Advisor Office ofthe Adjutant...
... position and the changes in financial position of only that portion ofthe governmental activities, each major fund, and the aggregate remaining fund information oftheStateof Hawaii that are attributable ... Independent Auditors’ Report The Auditor Stateof Hawaii: We have audited the accompanying financial statements ofthe governmental activities, each major fund, and the aggregate remaining This is trial ... disclosures in the financial statements An audit also includes assessing the accounting principles used and significant estimates made by management, as well as evaluating the overall financial statement...
... obligations ofthestate or United States government All securities pledged as collateral are held either by theState Treasury or by theState s fiscal agents in the name oftheState Capital Assets ... and the related assets are reported in the statement of net assets Capital assets are recorded at cost on the date of acquisition, or if donated, at appraised value on the date of donation Maintenance, ... the aggregate remaining fund information oftheState that are attributable to the transactions ofthe department TheState Comptroller maintains the central accounts for all state funds and publishes...
... The department was required to record capital assets and the related accumulated depreciation as part ofthe implementation of GASB Statement No 34 as of June 30, 2002 The cumulative effect of ... certain capital asset costs and the related accumulated depreciation, the department states that because the facilities were built by the federal government, it was not certain whether they should ... capital assets built or acquired with federal funds, and used and managed by the State, which conforms to the GASB Implementation Guide The department further states that it fails to see the value...
... This is trial version www.adultpdf.com This is trial version www.adultpdf.com This is trial version www.adultpdf.com This is trial version www.adultpdf.com This is trial version www.adultpdf.com ... version www.adultpdf.com This is trial version www.adultpdf.com This is trial version www.adultpdf.com This is trial version www.adultpdf.com This is trial version www.adultpdf.com ...
... This is trial version www.adultpdf.com This is trial version www.adultpdf.com This is trial version www.adultpdf.com This is trial version www.adultpdf.com This is trial version www.adultpdf.com...
... Assets ofThe University of Montana, a component unit ofthestateof Montana, as of June 30, 2008, and 2007, and the related Consolidated Statements of Revenues, Expenses, and Changes in Net Assets, ... of technical and occupational education and training courses Montana Tech ofThe University of Montana provides a variety of four-year and graduate programs with a focus on mineral, geological, ... financial‑compliance audit We issue the financial-related audit every other year and a financial audit every year The financial‑related audit was issued in October 2007 The University of Montana...
... assets are stated at historical cost less accumulated depreciation Capital assets are classified as depreciable and non-depreciable Depreciation is treated as an operating expense Assets and liabilities ... remaining at June 30, 2006, two years earlier than planned USING THE FINANCIAL STATEMENTS The University’s financial statements consist ofthe following three statements: Statement of Net Assets, Statement ... University atthe end ofthe fiscal year The changes in net assets that occur over time indicate improvements or deterioration in the University’s financial position A summary ofthe Statement of Net Assets...