Results 271 to 280 of about 28,027 (297)
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2016
We can now begin the rigorous treatment of calculus in earnest, starting with the notion of a derivative. We can now define derivatives analytically, using limits, in contrast to the geometric definition of derivatives, which uses tangents. The advantage of working analytically is that (a) we do not need to know the axioms of geometry, and (b) these ...
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We can now begin the rigorous treatment of calculus in earnest, starting with the notion of a derivative. We can now define derivatives analytically, using limits, in contrast to the geometric definition of derivatives, which uses tangents. The advantage of working analytically is that (a) we do not need to know the axioms of geometry, and (b) these ...
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Boletim da Sociedade Brasileira de Matemática, 1980
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Twice Differentiable Spectral Functions
SIAM Journal on Matrix Analysis and Applications, 2001The basic elements of the paper are \(S^{n}\) as the Euclidean space of all \(n\times n\) symmetric matrices with inner product \(=\)tr\((A\cdot B)\), the vector \(\lambda (A)=(\lambda_{1}(A),\lambda_{2}(A),\dots\lambda{n}(A))\) of its eigenvalues ordered in nonincreasing order and a symmetric function \(f:\mathbb{R}^{n}\mapsto \mathbb{R}\).
Lewis, Adrian S., Sendov, Hristo S.
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1972
Publisher Summary This chapter discusses the differentiable functions. From elementary calculus, one knows that the sum, difference, and product of differentiable functions are differentiable; and with a little care to avoid zero in the denominator and even roots of negative numbers, the quotient, powers, and roots of differentiable functions are ...
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Publisher Summary This chapter discusses the differentiable functions. From elementary calculus, one knows that the sum, difference, and product of differentiable functions are differentiable; and with a little care to avoid zero in the denominator and even roots of negative numbers, the quotient, powers, and roots of differentiable functions are ...
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Forcing and Differentiable Functions
Order, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mixed Functional Differential Equations
Journal of Mathematical Sciences, 2005Definition: A functional-differential equation (FDE) for a function with more than one continuous arguments is called a mixed FDE (MFDE) if it contains a derivative of the unknown function with respect to one of the arguments only. MFDEs form a special subclass of ordinary Banach-space-valued DE with locally bounded right-hand side.
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Complex Functions Possessing Differentials
American Journal of Mathematics, 1946Not ...
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Extension of differentiable functions
1985If a real function f is differentiable on a perfect subset H of the real line, then f' is Baire 1 on H and f can be extended to R as an everywhere differentiable function. The authors have studied similar questions for functions of several variables.
AVERSA, VINCENZO LIBERO +2 more
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2009
Models of product differentiation typically assume a demand for variety. This paper derives the demand for variety in a model where a representative consumer chooses how many specialised varieties to purchase for the pursuit of different activities. In contrast with previous models this generates a demand for variety that is price and income elastic ...
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Models of product differentiation typically assume a demand for variety. This paper derives the demand for variety in a model where a representative consumer chooses how many specialised varieties to purchase for the pursuit of different activities. In contrast with previous models this generates a demand for variety that is price and income elastic ...
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