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ValveFit: An analysis-suitable B-spline-based surface fitting framework for patient-specific modeling of tricuspid valves. [PDF]
Comput Methods Appl Mech EngMoola A +8 more
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Tangent-on-Tangent vs. Tangent-on-Reverse for Second Differentiation of Constrained Functionals
2008We compare the Tangent-on-Tangent and the Tangent-on-Reverse strategies to build programs that compute second derivatives (a Hessian matrix) using automatic differentiation. In the specific case of a constrained functional, we find that Tangent-on-Reverse outperforms Tangent-on-Tangent only above a relatively high number of input parameters.
Massimiliano Martinelli +1 more
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Transcendental Functions and Tangent Circles
The Mathematics Teacher, 2018These are functions that are not algebraic. The set of transcendental functions includes the trigonometric, inverse trigonometric, exponential and logarithmic functions, but it also includes a vast number of other functions that have never been named…. (Stewart 1999, p. 35)
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Tangent sets in some functional spaces
Nonlinear Analysis: Theory, Methods & Applications, 2000The authors give a characterization of the positive cone of a space of essentially bounded functions. As an application they deduce a characterization of the second-order tangent set in \(W^{1,\infty}\) of the set of functions whose norm of gradient is a.e. less or equal 1.
Bednarczuk, E. +3 more
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Tangent Planes of a Quadratic Function
The College Mathematics Journal, 2003(2003). Tangent Planes of a Quadratic Function. The College Mathematics Journal: Vol. 34, No. 3, pp. 205-206.
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On determinants involving tangent functions
Linear and Multilinear Algebra, 2022Zhengyu Tao, Xuejun Guo
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Intersections of Tangent Lines of Exponential Functions
The College Mathematics Journal, 2005Among the intriguing geometric properties of a parabola is this: if AB is any chord of the parabola and L is the tangent to the parabola parallel to AB, then the midpoint of the chord, the point of tangency of L, and the point where the tangents to the parabola at A and at B intersect are collinear.
Timothy G. Feeman, Osvaldo Marrero
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