Examples of using Hyperbolic functions in English and their translations into Portuguese
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Hyperbolic Functions.
It's time to explore inverse hyperbolic functions.
The Hyperbolic Functions.
Let's explore numeric derivatives of hyperbolic functions.
Hyperbolic functions sinh, cosh, tanh,….
Exponentialize converts circular and hyperbolic functions to exponential form.
Hyperbolic functions: formally similar to the trigonometric functions. .
Thus the hyperbolic angle and the hyperbolic functions sinh, cosh, and tanh are all transcendental.
Hyperbolic functions were introduced in the 1760s independently by Vincenzo Riccati and Johann Heinrich Lambert.
The device could solve line equations involving hyperbolic functions ten times faster than previous methods.
We see that hyperbolic functions are not periodic and their graph are not very similar to corresponding trigonometric functions. .
When the variable exponentialize is true, all circular and hyperbolic functions are converted to exponential form.
The notation for hyperbolic functions resembles notation for trigonometric functions. .
This subject has a strong motivation in mathematics literature, because the hyperbolic functions describe, among others, modeling the catenary.
In mathematics, hyperbolic functions are analogs of the ordinary trigonometric, or circular, functions. .
This dissertation is a didactic proposal aimed at introducing notions of hyperbolic functions, in the scope of high school mathematic curriculum.
In mathematics, the inverse hyperbolic functions provide a hyperbolic angle corresponding to a given value of a hyperbolic function.
The Gudermannian function, named after Christoph Gudermann(1798-1852),relates the circular functions and hyperbolic functions without explicitly using complex numbers.
In complex analysis, the hyperbolic functions arise as the imaginary parts of sine and cosine.
With this goal in mind, and the fact that appear strange roots in cardano's method,is shown following the chapter alternatives of solving using complex numbers and hyperbolic functions which are illustrated by an example solved.
Hyperbolic functions occur in the solutions of many linear differential equations(for example, the equation defining a catenary), of some cubic equations, in calculations of angles and distances in hyperbolic geometry, and of Laplace's equation in Cartesian coordinates.
Function: exponentialize(expr) Option variable: exponentialize The function exponentialize(expr) converts circular and hyperbolic functions in expr to exponentials, without setting the global variable exponentialize.
Objectives were to present definitions of hyperbolic functions, discuss part of the history of its creation and development, its properties, noting its similarity and their relationships with the circular trigonometric functions, also bringing applications, how to determine for example, the exact shape of the curve assumed by a homogeneous flexible cable, of uniform density, suspended by both ends, under the action of gravity; this curve known as catenary, which is well described by hyperbolic cosine.
On February 8, 1926, as the first woman to deliver a paper at the American Institute of Electrical Engineers' annual meeting,she showed the use of hyperbolic functions for calculating the maximum power that a line could carry without instability.
We approach the de nitions and properties about jacobi s elliptic functions, andalso the circular and hyperbolic functions, considered degenerate cases of these functions. then we remember how knowledge of elliptic integrals helps us in getting the recti cation ofan arc of ellipse.
Hyperbolic function are less known as trigonometric function. .
The relationship between the power applied andits respective time duration W-t was described by a rectangular hyperbolic function for all assessed subjects, with the following values: CP=103±26 W; W'=7.08±2.14 kJ; and r=0.98±.02.
When the saturated friction angle ratio(¿b/¿¿)is less than one, the unsaturated shear strength prediction can be made using a hyperbolic function together with a function of porosity. the variation of the maximum shear modulus(g0) at different conditions of suction.
For a given value of a hyperbolic function, the corresponding inverse hyperbolic function provides the corresponding hyperbolic angle.
And finally, the complex hyperbolic trigonometric functions is matched by the complex trigonometric functions. .