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The Derivative and Higher Derivatives
2007The derivative of a function, even if it exist everywhere, can be discontinuous. For example, if \(f\left( x \right) = {x^2}\sin \frac{1}{x}\), for x ≠ 0, f(0) = 0, then for x ≠ 0, \(f'\left( x \right) = - \cos \frac{1}{x} + 2x\sin \frac{1}{x}\), which does not tend to any limit as x tends to 0, although f′(0) exists and equals 0, as may be easily ...
A. K. Bhandari, A. R. Rajwade
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Derivatives and Derivative Markets
2006In this chapter we introduce readers to the nuts and bolts of derivatives. The objective is, however, different from that found in an introductory finance textbook. There are now many good texts on derivatives, explaining how they are priced and strategies for trading them. There is no point in repeating that content. Rather, this chapter seeks to show
Michael Rafferty, Dick Bryan
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Derivation of leaf-area index from quality of light on the forest floor
, 1969Leaf—area index of a forest can be measured by determining the ratio of light at 800 μm to that at 675 μm on the forest floor. It is based on the principle that leaves absorb relatively more red than infrared light, and therefore, the more leaves that ...
C. Jordan
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Thrombosis and Haemostasis, 2000
Summary We have previously demonstrated that a clinical model can be safely used in a management strategy in patients with suspected pulmonary embolism (PE). We sought to simplify the clinical model and determine a scoring system, that when combined with
P. Wells+12 more
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Summary We have previously demonstrated that a clinical model can be safely used in a management strategy in patients with suspected pulmonary embolism (PE). We sought to simplify the clinical model and determine a scoring system, that when combined with
P. Wells+12 more
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Some notes on economy of derivation and representation
, 2013The past few years have seen the development of an approach to the study of language that constitutes a fairly radical departure from the historical tradition, more so than contemporary generative grammar at its origins.
Noam Chomsky
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Derived Categories and Derived Functors
1996Homological algebra was founded by D. Hilbert. He considered, in particular, the following problem. Let Σ j=1 m a ij x j = 0, i =1,..., n, a ij ∈ k[t 1,..., t r ], be a system of linear homogeneous equations with coefficients lying in the polynomial ring over a field.
Yuri I. Manin, Sergei Gelfand
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Derivation of specific antibody‐producing tissue culture and tumor lines by cell fusion
European Journal of Immunology, 1976Cell fusion techniques have been used to produce hybrids between myeloma cells and antibody‐producing cells. The hybrid lines derived are permanently adapted to grow in tissue culture and are capable of inducing antibody‐producing tumors in mice.
G. Köhler, C. Milstein
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1994
STELLA is designed to incrementally add a rate variable to a stock, a process that is called integration. This is very important in finding the solutions to rate or differential equations. However, often we need to do just the opposite, to differentiate or find the slope of a curve or rate of change of a variable.
Bruce Hannon, Matthias Ruth
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STELLA is designed to incrementally add a rate variable to a stock, a process that is called integration. This is very important in finding the solutions to rate or differential equations. However, often we need to do just the opposite, to differentiate or find the slope of a curve or rate of change of a variable.
Bruce Hannon, Matthias Ruth
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Derivation of a tasselled cap transformation based on Landsat 8 at-satellite reflectance
, 2014The tasselled cap transformation (TCT) is a useful tool for compressing spectral data into a few bands associated with physical scene characteristics with minimal information loss.
M. Baig, Lifu Zhang, Tong Shuai, Q. Tong
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