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coming to its senses, open to new ideas, and ready to learn from its mistakes The site features links to news stories about the management shift and pulls no punches One headline announced that company losses reached $58 billion during the most recent third quarter Posted segments feature officials of major environmental groups denouncing Ford for building gas-swilling sports utility vehicles and pickup trucks In one, Ford Executive Vice President Mark Fields tells an audience of coworkers, I ve mentioned to you many times that the clock is ticking Well, I want to be very blunt with you Time is up Time is up We have got to fix the business, and we ve got to fix it now Ford Bold Moves also presents critical articles by freelance business journalists One describes US heavy equipment makers Deere & Co and Caterpillar Inc.

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Simplifying gives the asserted Bonnet recursion. SECTION 5.4. Frobenius Method, page 182 Purpose. To introduce the student to the Frobenius method (an extension of the power series method), which is important for ODEs with coefficients that have singularities, notably Bessel s equation, so that the power series method can no longer handle them. This extended method requires more patience and care. Main Content, Important Concepts Regular and singular points Indicial equation, three cases of roots (one unexpected) Frobenius theorem, forms of bases in those cases Short Courses. Take a quick look at those bases in Frobenius s theorem, say how it fits with the Euler Cauchy equation, and omit everything else. Comment on Regular Singular and Irregular Singular These terms are used in some books and papers, but there is hardly any need for confusing the student by using them, simply because we cannot do (and don t do) anything about irregular singular points. A simple use of regular and singular (as in complex analysis, where holomorphic functions are also known as regular analytic functions ) may thus be the best terminology. Comment on Footnote 5 Gauss was born in Braunschweig (Brunswick) in 1777. At the age of 16, in 1793 he discovered the method of least squares (Secs. 20.5, 25.9). From 1795 to 1798 he studied at G ttingen. In 1799 he obtained his doctor s degree at Helmstedt. In 1801 he published his first masterpiece, Disquisitiones arithmeticae (Arithmetical Investigations, begun in 1795), thereby initiating modern number theory. In 1801 he became generally known when his calculations enabled astronomers (Zach, Olbers) to rediscover the planet Ceres, which had been discovered in 1801 by Piazzi at Palermo but had been visible only very briefly. He became the director of the G ttingen observatory in 1807 and remained there until his

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and asks why these two firms remain world leaders while American car companies have lost their way On the positive side, the site hosts a series of short documentary videos that offer behind-the-scenes views of the company One shows Ford s Warriors in Pink competing in car races to raise money to fight breast cancer Another reports on a Ford dealer who s opened a service station selling 85 percent ethanol fuel for use in Ford flex-fuel cars, which can run on ethanol or gasoline Site visitors can post responses to the videos and articles and ask questions that the company will answer One question I saw asked: Why do you produce a car and then discount the price Why not produce a car that is worth the sticker price Here s the problem with Ford Bold Moves.

in which k is the extending factor. The value of the extending factor k is chosen according to the level of confidence requested for the interval y - U, y + U; generally k = 2 or 3. Choosing k = 2 is the same as considering an interval with a confidence level of approximately 95%. The numerical values of the estimation Y and its standard uncertainty u (y) or U must not be given with an excessive number of digits. Two significant digits are usually enough for the standard uncertainty and the expanded uncertainty: Y=y U

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