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The hyperbolic functions may be defined in terms of the legs of a right triangle covering this sector. In complex analysis, the hyperbolic functions arise when applying the ordinary sine and cosine functions to an imaginary angle. The hyperbolic sine and the hyperbolic cosine are entire functions. As a result, the other hyperbolic functions are ...
Alternately hyperbolic angle is the area of a sector of the hyperbola Some authors call the inverse hyperbolic functions hyperbolic area functions. [ 1] Hyperbolic functions occur in the calculations of angles and distances in hyperbolic geometry. It also occurs in the solutions of many linear differential equations (such as the equation ...
The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse ), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse.
Sinh may refer to: Hyperbolic sine, abbreviated as sinh, a mathematical function. Sinh (clothing), a traditional women's garment from Southeast Asia. Singh, an Indian title and personal name. Sinhala script (ISO 15924 abbreviation: Sinh)
Sinhala ( Siṃhala) is a Sanskrit term; the corresponding Middle Indo-Aryan ( Eḷu) word is Sīhala . The name is a derivative of siṃha, the Sanskrit word for 'lion'. [ 12] The name is sometimes glossed as 'abode of lions', and attributed to a supposed former abundance of lions on the island.
This is a comparison of English dictionaries, which are dictionaries about the language of English.The dictionaries listed here are categorized into "full-size" dictionaries (which extensively cover the language, and are targeted to native speakers), "collegiate" (which are smaller, and often contain other biographical or geographical information useful to college students), and "learner's ...
Since cosh x + sinh x = e x, an analog to de Moivre's formula also applies to the hyperbolic trigonometry. For all integers n, ( + ) = + . If n is a rational number (but not necessarily an integer), then cosh nx + sinh nx will be one of the values of (cosh x + sinh x) n. [3]
Biochar is the lightweight black residue, consisting of carbon and ashes, remaining after the pyrolysis of biomass, and is a form of charcoal. [ 1] Biochar is defined by the International Biochar Initiative as the "solid material obtained from the thermochemical conversion of biomass in an oxygen-limited environment".