Results 201 to 210 of about 6,546 (262)
A Logratio Approach to the Analysis of Autosomal Genotype Frequencies Across Multiple Samples. [PDF]
Graffelman J.
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Stochastic Reaction Networks Within Interacting Compartments with Content-Dependent Fragmentation. [PDF]
Anderson DF, Howells AS, La Luz DR.
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A sequence to formula tree model for solving electrical text problems. [PDF]
Wang Y, Jian P, Liu H, Yan M, Li Y.
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A Likelihood-Based Profile Shrinkage Algorithm for Efficient Cognitive Diagnostic Computerized Adaptive Testing (CD-CAT). [PDF]
Tang X, Cheng Y.
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ON THE FRACTIONAL MEAN-VALUE THEOREM
International Journal of Bifurcation and Chaos, 2012In this paper, we derive a fractional mean-value theorem both in the sense of Riemann–Liouville and in the sense of Caputo. This new formulation is more general than the generalized Taylor's formula of Kolwankar and the fractional mean-value theorem in the sense of Riemann–Liouville developed by Trujillo.
Peng Guo, Changpin Li, Guanrong Chen
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Means and the mean value theorem
International Journal of Mathematical Education in Science and Technology, 2009Let I be a real interval. We call a continuous function μ : I × I → ℝ a proper mean if it is symmetric, reflexive, homogeneous, monotonic and internal. Let f : I → ℝ be a differentiable and strictly convex or strictly concave function. If a, b ∈ I with a ≠ b, then there exists a unique number ξ between a and b such that f(b) − f(a) = f ′(ξ)(b − a).
Jorma K. Merikoski +2 more
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Ukrainian Mathematical Journal, 2014
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A New Proof of the Equivalence of the Cauchy Mean Value Theorem and the Mean Value Theorem
The American Mathematical Monthly, 2020Let f,g:[a,b]→R be differentiable in (a, b) and continuous in [a,b] . The Cauchy mean value theorem states that, if g′(x)≠0 in (a, b), there is a number c∈(a,b) such that (1) f(b)−f(a)g(b)−g(a)=f′(...
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