... bullet-proof fashion that will stand the test of time The second, and for the working mathematician the most important, aspect of proof is that the proof of a new theorem explains why the result ... the bulk of their time proving theorems, it is nevertheless the case that proof is the lingua franca of mathematics It is the web that holds the enterprise together It is what makes the subject ... What Does a Proof Consist Of? 0.5 The Purpose of Proof 0.6 The Logical Basis for Mathematics 0.7 The Experimental Natureof Mathematics 0.8 The Role of Conjectures ...
... secure the services of eminent members of appropriate professions in the examination of policy matters pertaining to the health ofthe public The Institute acts under the responsibility given to the ... as the prospect of new ways of meeting the need, provides the back-drop for the discussions at the 37th Annual Meeting ofthe Institute of Medicine (IOM) Entitled Evidence-Based Medicine and the ... president ofthe National Academy of Sciences The National Academy of Engineering was established in 1964, under the charter ofthe National Academy of Sciences, as a parallel organization of outstanding...
... the Health Professions in Toronto, Canada Conclusions The growing field of genomics provides the most visible example ofthe explosion of medical data, but it is still only one component ofthe ... to meet the challenges ofthe information explosion The skill set ofthe entering medical student needs to be refined accordingly As current US medical students make the transition into their individual, ... processes, the application of emerging information and how new knowledge is developed Certainly the application of these skills requires a backbone of medical facts and relationships, but these facts...
... Shin 2007) The fluctuations of credit in the context of secured lending expose the fallacy ofthe lump of liquidity in the financial system The language of liquidity suggests a stock of available ... contractions of balance sheets have tended to precede the onset of financial crises We describe thechangingnatureof financial intermediation in the market-based financial system, chart the course ofthe ... consisted of reverse repos in addition to other types of collateralized lending Much of this collateralized lending was short term, often overnight The other feature ofthe asset side ofthe balance...
... tensile test specimens and mm in diameter and a lengthen of 50 mm for the samples used for compressive tests The compression and the tensile tests of bulk metallic glasses were conducted at different ... and fatigue tests ofthe pure Cu and Cu-Al single crystals, Cu bicrystals and ultrafine-grained Al-Cu polycrystals were performed on Shimadzu testing machine After fracture, all the specimens were ... thay b n riêng c a v t li u Ch HKV H phá h y d c theo m t ng su t pháp l n nh t, θT = 90o , ta m i có σ T = σ o [4]; Tuy v y, h u h t HKV H phá h y theo mode trư t v i góc trư t khác nhau, tương...
... modern-day mentor to bounce ideas off of and, like other women at the top of their profession, sees the loneliness ofthe position as one ofthe few downsides to the job Although she loves people ... different But these women and the others we have studied also demonstrate the ability to make the most of their talents given the situations in which they find themselves and many demonstrate the ability ... celebration of twenty-two of these women, their achievements, the values and visions they bring to and enact in their organizations, and the contributions they have made to the companies in which they...
... secure the services of eminent members of appropriate professions in the examination of policy matters pertaining to the health ofthe public The Institute acts under the responsibility given to the ... of further analysis The Structure of Agriculture The “structure of agriculture” is a broad phenomenon involving both the characteristics of farms (the system of agricultural production) and the ... NOTICE: The project that is the subject of this report was approved by the Governing Board ofthe National Research Council, whose members are drawn from the councils ofthe National Academy of Sciences,...
... rising share of income taking the form of taxable wages, both of which would raise tax revenues still further On the other hand, if some ofthe coverage expansion were paid for out ofthe savings ... discussion ofthe key components of health care reform; and an analysis oftheeconomic effects of slowing health care cost growth and expanding coverage The findings in the report point to large economic ... obvious place to begin the analysis is with a survey ofthe economics ofthe current and projected state of health care in the United States One key issue is the share of GDP devoted to health...
... secure the services of eminent members of appropriate professions in the examination of policy matters pertaining to the health ofthe public The Institute acts under the responsibility given to the ... of electrons and positrons Together, the LHC and an ILC will enable physicists to explore the unification ofthe fundamental forces, probe the origins of mass, uncover the dynamic natureofthe ... be one ofthe first signals ofthe new physics expected in the years ahead, since the observed masses are in the range predicted by theoretical ideas that unify the forces ofnature In the future,...
... methylmalonyl-CoA alone, there was no evidence for the methylmalonyl derivative ofthe chain-extension ACP, despite the presence ofthe free thiol form ofthe domain Thenatureofthe diketide adduct ... suppression of iteration and the maintenance of fidelity of reduction In the presence of all the (natural) substrates required for diketide synthesis on the DKS, the relatively high level of loading of ... addition, specific ejection ofthe phosphopantetheinyl prosthetic group from the ACP can be induced in the mass spectrometer, allowing highly accurate determination ofthe mass ofthe attached species...
... that the advent of quantum physics in the sciences and the rise of modernism in the arts in the early twentieth century represent two facets ofthe same profound shift in the cultural evolution of ... spots The lighter a particular area ofthe image is, the higher the density of random spots, or “events”, the algorithm generates in this area Fig shows the output ofthe program used to create the ... materials or in the mathematical concept ofthe Cartesian grid, but as something more organic The Universe (The Cellular Structure of Space-Time) imagines the smallest units of space-time as the bubbles...
... change, the lengthening of shots before them may prepare the viewer for that change, and the shortening of shots after can accelerate the viewer into the new scene Notice first that the pattern of ... after it in the sequence of transitions across the film Data points represent the mean of 10 film medians for each of 15 sample years, 1935-2005 The lower panel shows the median length ofthe longest ... clusters the Hollywood montage; Salt (2009, p 194) called them the “classical” montage Consider first the changes in the use ofthe single dissolve Single Dissolves The upper panel of Figure shows the...
... made of a synthetic leather causing them to be more responsive in the dribble The first professional basketball league formed was the National League and it consisted of six teams When the National ... forwards Bob Cousy was the first showman ofthe NBA and many followed his act until it became normal procedure among players It is almost painful to think ofthe tempo ofthe game before Bob Cousy ... from the opposing teams "Dr J" changed what was just two points into a massive rush of adrenaline He did not have a great outside shot but he could hang in the air with the best of them The condition...
... and the full wardrobe of clothes and accessories that were “dominant on every campus where attention to the niceties in the matter of dress is the rule rather than the exception” the r ise ofthe ... IN WARTIME The 1940s saw the American youth market further galvanized by the labor demands of wartime Theeconomic pressures ofthe war drew increasing numbers of young people into the U.S workforce, ... forms of education (Offer, 2006) An example of such influence is in the realm of food consumption At the dawn ofthe new era of affluence, Americans devoted about a quarter of their income to food...
... thus reflects the actual activity level ofthe patient The presence ofthe physician's assessment ofthe severity ofthe patient's condition here is of interest and leads us to hypothesize if not ... thus the physician perceived urgency of need for TKAR, is based largely on the physician's assessment ofthe individual patient's activity or lack thereof Factor reflects the mental status ofthe ... Ireland Neither of these organizations participated in study design; in the collection, analysis, and interpretation of data; in the writing ofthe manuscript; or in the decision to submit the manuscript...
... that the pathological natureofthe clavicular fracture was appreciated in retrospect To the best of our knowledge, this is the first time that the delay that can be associated with diagnosing the ... above the age of 45 years, multiple recent fractures or pain at the site before the fracture [9] Such patients should also have a thorough physical examination ofthe upper limbs, the rest ofthe ... radiograph ofthe left shoulder taken months later Plain radiograph ofthe left shoulder taken months later The radiograph demonstrates a large lytic lesion (arrow) over the medial aspect ofthe clavicle...
... that nature, built incrementally over time by the communities themselves Medicine is practiced the way it is because ofthe experiences of medical professionals over the history ofthe profession ... competent Of course, this also implies that there is an agreed-upon set of minimal standards that these professionals can be held to, and that they are the right standards Furthermore, because ofthe ... increase the rate of predictable success for each new batch of doctors, lawyers, and builders, and in each case has led to the formation of an organism we call the profession Professions have their...
... known for the defining numbers of minimum dominating sets of Γ(Zn , U ) We prove the following theorem 2n+1 Theorem Let 2n + be a prime and F be the family of all minimum dominating sets of Γ(Zn ... defining set of size at most n!2n 2n+1 The proof of Theorem uses Fourier analysis on finite Abelian groups In Section we review Fourier analysis on Zn Section is devoted to the proof of Theorem Secp ... counts the number of elements in S ∩ {(y1 , , yn ) : yj = xj ∀j = i} This completes the proof the electronic journal of combinatorics 14 (2007), #N8 Remark The above proof can be translated to the...