## version $VER: amath-ident.catalog 1.70 (28.02.2017) English ## language english ## codeset 0 ;############################################################################# ;## Help texts for built-in functions in amath ;## ------------------------------------------ ;## ;## This file is published under Creative Common License. See: ;## http://creativecommons.org/licenses/by-sa/3.0/ ;## Parts of the content came from wikipedia.org: ;## https://wikipedia.org/wiki/Wikipedia:Copyrights#Re-use_of_text ;############################################################################# ; Partly from https://wikipedia.org/wiki/Absolute_value abs The absolute value (or modulus) |x| of a real number x is the#NEWLINE#non-negative value of x without regard to its sign.#NEWLINE##SYNTAXHIGHLIGHT#Example: abs(-237.25)#NORMALTEXT##NEWLINE# ; Partly from https://wikipedia.org/wiki/Sign_function sgn The sign function or signum function is used to extract the sign of a number.#NEWLINE#Thus sgn(x) is 1 when x is positive, and sgn(x) is -1 when x is negative.#NEWLINE##SYNTAXHIGHLIGHT#Example: sgn(-23.94)#NORMALTEXT##NEWLINE# ; Partly from https://wikipedia.org/wiki/Rounding round Rounding a numerical value means replacing it by another value that is#NEWLINE#approximately equal but has a shorter, simpler, or more explicit#NEWLINE#representation. Amath rounds a number to the nearest integer.#NEWLINE# ; Partly from https://wikipedia.org/wiki/Rounding trunc Truncation is limiting the number of digits right of the decimal point,#NEWLINE#by discarding the least significant ones. Amath truncates a number to#NEWLINE#the nearest integer.#NEWLINE##SYNTAXHIGHLIGHT#Example: trunc(-23.94#NEWLINE# floor No help is available for this function.#NEWLINE# ceil No help is available for this function.#NEWLINE# sqr No help is available for this function.#NEWLINE# cbr No help is available for this function.#NEWLINE# lb Binary logarithm function.#NEWLINE# ln Natural logarithm function.#NEWLINE# lg Common logarithm function.#NEWLINE# ; Partly from https://wikipedia.org/wiki/Sine sin Sine is the trigonometric function that for an acute angle is the#NEWLINE#ratio between the leg opposite the angle when it is considered#NEWLINE#part of a right triangle and the hypotenuse.#NEWLINE# ; Partly from https://wikipedia.org/wiki/Trigonometric_functions cos Cosine is the trigonometric function that for an acute angle is the#NEWLINE#ratio between the leg adjacent to the angle when it is considered#NEWLINE#part of a right triangle and the hypotenuse.#NEWLINE# ; Partly from https://wikipedia.org/wiki/Trigonometric_functions tan Tangent is one of the trigonometry functions. In a right triangle,#NEWLINE#the tangent of an angle is the opposite side over the adjacent side.#NEWLINE# ; Partly from https://wikipedia.org/wiki/Trigonometric_functions cot The cotangent cot(x), ctg(x) or ctn(x), is the reciprocal of tan(x).#NEWLINE#The cotangent is the ratio of the length of the adjacent side to the length of the opposite side.#NEWLINE# ; Partly from https://wikipedia.org/wiki/Trigonometric_functions sec The secant sec(x) is the reciprocal of cos(x).#NEWLINE#The secant is the ratio of the length of the hypotenuse to the length of the adjacent side.#NEWLINE#So called because it is the tangent of the complementary or co-angle.#NEWLINE# ; Partly from https://wikipedia.org/wiki/Trigonometric_functions csc The cosecant csc(x) or cosec(x), is the reciprocal of sin(x).#NEWLINE#The cosecant is the ratio of the length of the hypotenuse to the length of the opposite side.#NEWLINE#So called because it is the secant of the complementary or co-angle.#NEWLINE# ; Partly from https://wikipedia.org/wiki/Trigonometric_functions asin arc sine function.#NEWLINE# acos arc cosine function.#NEWLINE# atan arc tangent function of one variable.#NEWLINE# acot arc cotangent function.#NEWLINE# asec arc secant function.#NEWLINE# acsc arc cosecant function.#NEWLINE# sinh No help is available for this function.#NEWLINE# cosh No help is available for this function.#NEWLINE# tanh No help is available for this function.#NEWLINE# coth No help is available for this function.#NEWLINE# sech No help is available for this function.#NEWLINE# csch No help is available for this function.#NEWLINE# asinh No help is available for this function.#NEWLINE# acosh No help is available for this function.#NEWLINE# atanh No help is available for this function.#NEWLINE# acoth No help is available for this function.#NEWLINE# asech No help is available for this function.#NEWLINE# acsch No help is available for this function.#NEWLINE# ver The versed sine is an early appearing trigonometric function.#NEWLINE#It is equal to one minus the cosine.#NEWLINE#ver(x) = 1 - cos(x)#NEWLINE# vcs The versed cosine is an early appearing trigonometric function.#NEWLINE#It is equal to one plus the cosine.#NEWLINE#ver(x) = 1 + cos(x)#NEWLINE# cvs The coversed sine is an early appearing trigonometric function.#NEWLINE#It is equal to one minus the sine.#NEWLINE#ver(x) = 1 - sin(x)#NEWLINE# cvc The coversed cosine is an early appearing trigonometric function.#NEWLINE#It is equal to one plus the sine.#NEWLINE#cvc(x) = 1 + sin(x)#NEWLINE# hv No help is available for the haversed sine function.#NEWLINE# hvc No help is available for the haversed cosine function.#NEWLINE# hcv No help is available for the hacoversed sine function.#NEWLINE# hcc No help is available for the hacoversed cosine function.#NEWLINE# aver No help is available for this function.#NEWLINE# avcs No help is available for this function.#NEWLINE# acvs No help is available for this function.#NEWLINE# acvc No help is available for this function.#NEWLINE# ahv No help is available for this function.#NEWLINE# ahvc No help is available for this function.#NEWLINE# ahcv The inverse hacoversed sine is not implemented in this version of amath.#NEWLINE# ahcc The inverse hacoversed cosine is not implemented in this version of amath.#NEWLINE# exsec exsecant function.#NEWLINE# excsc excosecant function.#NEWLINE# aexsec inverse exsecant function.#NEWLINE# aexcsc inverse excosecant function.#NEWLINE#