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Exponential function and Hyperbolic function

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Exponential function and Hyperbolic function

Exponential function vs. Hyperbolic function

In mathematics, an exponential function is a function of the form in which the argument occurs as an exponent. In mathematics, hyperbolic functions are analogs of the ordinary trigonometric, or circular, functions.

Similarities between Exponential function and Hyperbolic function

Exponential function and Hyperbolic function have 13 things in common (in Unionpedia): Complex number, Derivative, Differential equation, E (mathematical constant), Entire function, Euler's formula, Holomorphic function, Mathematics, Physics, Real number, Series (mathematics), Taylor series, Trigonometric functions.

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

Complex number and Exponential function · Complex number and Hyperbolic function · See more »

Derivative

The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).

Derivative and Exponential function · Derivative and Hyperbolic function · See more »

Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives.

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E (mathematical constant)

The number is a mathematical constant, approximately equal to 2.71828, which appears in many different settings throughout mathematics.

E (mathematical constant) and Exponential function · E (mathematical constant) and Hyperbolic function · See more »

Entire function

In complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic at all finite points over the whole complex plane.

Entire function and Exponential function · Entire function and Hyperbolic function · See more »

Euler's formula

Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function.

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Holomorphic function

In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain.

Exponential function and Holomorphic function · Holomorphic function and Hyperbolic function · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Physics

Physics (from knowledge of nature, from φύσις phýsis "nature") is the natural science that studies matterAt the start of The Feynman Lectures on Physics, Richard Feynman offers the atomic hypothesis as the single most prolific scientific concept: "If, in some cataclysm, all scientific knowledge were to be destroyed one sentence what statement would contain the most information in the fewest words? I believe it is that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another..." and its motion and behavior through space and time and that studies the related entities of energy and force."Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves."Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of the human intellect in its quest to understand our world and ourselves."Physics is an experimental science. Physicists observe the phenomena of nature and try to find patterns that relate these phenomena.""Physics is the study of your world and the world and universe around you." Physics is one of the oldest academic disciplines and, through its inclusion of astronomy, perhaps the oldest. Over the last two millennia, physics, chemistry, biology, and certain branches of mathematics were a part of natural philosophy, but during the scientific revolution in the 17th century, these natural sciences emerged as unique research endeavors in their own right. Physics intersects with many interdisciplinary areas of research, such as biophysics and quantum chemistry, and the boundaries of physics are not rigidly defined. New ideas in physics often explain the fundamental mechanisms studied by other sciences and suggest new avenues of research in academic disciplines such as mathematics and philosophy. Advances in physics often enable advances in new technologies. For example, advances in the understanding of electromagnetism and nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons; advances in thermodynamics led to the development of industrialization; and advances in mechanics inspired the development of calculus.

Exponential function and Physics · Hyperbolic function and Physics · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Series (mathematics)

In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity.

Exponential function and Series (mathematics) · Hyperbolic function and Series (mathematics) · See more »

Taylor series

In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point.

Exponential function and Taylor series · Hyperbolic function and Taylor series · See more »

Trigonometric functions

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are functions of an angle.

Exponential function and Trigonometric functions · Hyperbolic function and Trigonometric functions · See more »

The list above answers the following questions

Exponential function and Hyperbolic function Comparison

Exponential function has 95 relations, while Hyperbolic function has 71. As they have in common 13, the Jaccard index is 7.83% = 13 / (95 + 71).

References

This article shows the relationship between Exponential function and Hyperbolic function. To access each article from which the information was extracted, please visit:

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