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The Mathematics Teacher, 1953
The development of hyperbolic functions in the traditional trigonometry courses (if this is ever reached during a one-semester instruction) is usually confined to purely algebraic methods. However effective the latter procedures may be, it is doubtful that a student realizes the import of the properties of hyperbolic functions.
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The development of hyperbolic functions in the traditional trigonometry courses (if this is ever reached during a one-semester instruction) is usually confined to purely algebraic methods. However effective the latter procedures may be, it is doubtful that a student realizes the import of the properties of hyperbolic functions.
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The k-Fibonacci hyperbolic functions
Chaos, Solitons & Fractals, 2008Q1
Falcón, Sergio, Plaza, Ángel
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The q-Fibonacci Hyperbolic Functions
Applied Mathematics & Information Sciences, 2012In 2005 Stakhov and Rozin introduced a new class of hyperbolic functions which is called Fibonacci hyperbolic functions. In this paper, we study q-analogue of Fibonacci hyperbolic functions. These functions can be regarded as q extensions of classical hyperbolic functions. We introduce the q-analogue of classical Golden ratio as follow φq = 1+1+4qn−22,
Guncan, A., Erbil, Y.
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Generalized Hyperbolic Functions
The American Mathematical Monthly, 1982(1982). Generalized Hyperbolic Functions. The American Mathematical Monthly: Vol. 89, No. 9, pp. 688-691.
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Hyperbolic Punishment Function [PDF]
, 2011 All models in Law and Economics use punishment functions (PF) that incorporates a trade-off between probability of detection, p, and punishment, F. Suppose society wishes to minimize the total costs of enforcement and damages from crime, T (p; F). For a given p, an optimal punishment function (OPF) determines an F that minimizes T(p; F).
al-Nowaihi, Ali, Dhami, S.
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The q-pell Hyperbolic Functions
Applied Mathematics & Information Sciences, 2012In 2005 Stakhov and Rozin introduced a new class of hyperbolic functions which is called Fibonacci hyperbolic functions. The aim of this study to give q-analogue of the Pell hyperbolic functions. These functions can be regarded as q extensions of classical hyperbolic functions.
Guncan, A., Akduman, S.
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Hyperbolic Lagrangian functions
Applied Mathematics and Mechanics, 1998The equation of motion for a free particle on Minkowski space is dicussed in Lagrangian, Hamiltonian, and Hamilton-Jacobi form, using a representation with an imaginary time coordinate. Unfortunately, the English translation of this Chinese paper is difficult to understand since it is not in agreement with standard English terminology.
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Hyperbolically Convex Functions
2003A conformal map f of the unit disk D of the complex plane into itself is called hyperbolically convex if the hyperbolic segment between any two points of f (D) also lies in f (D). These functions form a non-linear space invariant under Moebius transformations of D onto itself.
Diego Mejía, Christian Pommerenke
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Rectangular hyperbolic functions
1998Abstract The rectangular hyperbola is a function that very commonly arises in modelling. We shall again look at the basic function and then transform it to other related functions by simple manoeuvres. We shall concentrate our attention on transformations as they affect the graph in the first quadrant (x and y both positive).
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Hyperbolic Functions’ Synthesizers
2013Hyperbolic mathematical functions present a multitude of applications in VLSI designs and analog signal processing structures.
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