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57 lines
1.7 KiB
Plaintext
57 lines
1.7 KiB
Plaintext
NAME
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asinh - inverse hyperbolic sine
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SYNOPSIS
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asinh(x [,eps])
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TYPES
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x real
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eps 0 < real < 1, defaults to epsilon()
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return real
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DESCRIPTION
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Returns the asinh of x to a multiple of eps with error less in
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absolute value than .75 * eps.
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asinh(x) is the real number v for which sinh(v) = x. It is given by
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asinh(x) = ln(x + sqrt(1 + x^2))
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EXAMPLE
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; print asinh(2, 1e-5), asinh(2, 1e-10), asinh(2, 1e-15), asinh(2, 1e-20)
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1.44363 1.4436354752 1.44363547517881 1.44363547517881034249
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LIMITS
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0 < eps < 1
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LINK LIBRARY
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NUMBER *qasinh(NUMBER *x, NUMBER *eps)
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SEE ALSO
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sinh, cosh, tanh, coth, sech, csch
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acosh, atanh, acoth, asech, acsch
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epsilon
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## Copyright (C) 1999,2023 Landon Curt Noll
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##
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## Calc is open software; you can redistribute it and/or modify it under
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## the terms of the version 2.1 of the GNU Lesser General Public License
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## as published by the Free Software Foundation.
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##
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## Calc is distributed in the hope that it will be useful, but WITHOUT
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## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
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## Public License for more details.
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##
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## A copy of version 2.1 of the GNU Lesser General Public License is
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## distributed with calc under the filename COPYING-LGPL. You should have
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## received a copy with calc; if not, write to Free Software Foundation, Inc.
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## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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##
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## Under source code control: 1994/03/19 01:40:25
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## File existed as early as: 1994
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##
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## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
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## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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