.':clllc;'. ..;clll:,. .col;'..,cxxl,,ldo:'.,lxxl. .:dc. .lkkxxl:. .cdxkx: .cd:. .lkkko. ;xkkkd' ,o:. ,dkkx: .;cc;. ....... . .ckkko. ....'''''''' ,dkkx; ...'''''''''''' .ckkko. ..'''''''''''''''' 'dkkx:. ..'''''',;,'''''''''' .:cc;. .ckkkd,.'''''''';odc'''''''''' ;dkkkx, ;xkkkl,'''''''';oxl,'''''''''' ckkxd:. ,dxxkxo,'''''',cddc,''''''''''' 'okdc'.,coc':dxxo::::clddl;''''''''''''' .,:clcc;. .;clooooool:;''''''''''''''' .''''',,,'''''''''''''''''''' .''''''''''''''''''''''''''''' .''''''''''''''''''''''''''''' .'''''''''''''''''''''''''''''' .'''''''''''''''''''''''''''''' Mathematical Ramblings Project. ____________________ Operators available for "antoniovandre_eval": "+": sum. "-": subtraction. "*": multiplication. "/": division. "^": exponentiation. "%": rest of division "@": arrangements (Combinatory Analysis). "#": combinations (Combinatory Analysis). "$": rounding to the order of magnitude. ">": maximum. "<": minimum. ":": base logarithm. "~": returns "1" if it is an approximate value, and "0" if not. _____ Parentheses can be used in "antoniovandre_eval". _____ Constants available for "antoniovandre_eval": "PI": ratio between the length and diameter of a circumference. "T": double pi. "E": base of natural logarithms. "C": speed of light in vacuum, in IS. "G": constant of Universal Gravitation, in IS. "QE": elementary charge, in IS. "H": Planck's constant, on SI. "HH": Planck's reduced constant, in IS. "K": Boltzmann's constant, in IS. "ME": electron mass, in IS. "MP": proton mass, in IS. "MN": neutron mass, in SI. "AM": Avogadro's constant, times 10^(-23), in mol^(-1). "KE": Coulomb's constant, electrostatic constant, in IS. "R": universal constant of perfect gases, in IS. "SB": Stefan-Boltzmann's constant, in IS. "PM": magnetic permeability constant in vacuum, in IS. "PE": electric permeability constant in vacuum, in SI. "P": golden ratio. "CC": Catalan's constant. "EM": Euler-Mascheroni's constant. "FA": Feigenbaum's alpha constant. "FS": Feigenbaum's sigma constant. "AP": Apéry's constant. "CO": Conway's constant. "KH": Khinchin's constant. "GK": Glaisher-Kinkelin's constant. _____ Functions available for "antoniovandre_eval": "sen": sin function. "cos": cosine function. "tg": tangent function. "cotg": cotangent function. "sec": secant function. "cossec": cossecant function. "arcsen": arc sine function. "arccos": arc cosine function. "arctg": arc tangent function. "arccotg": arc cotangent function. "arcsec": arc secant function. "arccossec": arc cossecant function. "cord": chord function. "arccord": arc chord function. "ln": natural logarithm function. "logdez": base 10 logarithm function. "logdois": base 2 logarithm function. "senh": hyperbolic sine function. "cosh": hyperbolic cosine function. "tgh": hyperbolic tangent function. "cotgh": hyperbolic cotangent function. "sech": hyperbolic secant function. "cossech": hyperbolic cossecant function. "arcsenh": hyperbolic arc sine function. "arccosh": hyperbolic arc cosine function. "arctgh": hyperbolic arc tangent function. "arccotgh": hyperbolic arc cotangent function. "arcsech": hyperbolic arc secant function. "arccossech": hyperbolic arc cossecant function. "fatorial": factorial function. "modulo": module function. "piso": floor function; "teto": ceiling function; "radparagrau": function to convert radians to degrees. "radparagrado": function to convert radians to grads. "graupararad": function to convert degrees to radians. "grauparagrado": function to convert degrees to grads. "gradopararad": function to convert grads to radians. "gradoparagrau": function to convert grads to degrees. "kelvinparacelsius": function to convert temperature in Kelvin to Celsius. "kelvinparafahrenheit": function to convert temperature in Kelvin to Fahrenheit. "celsiusparakelvin": function to convert temperature in Celsius to Kelvin. "celsiusparafahrenheit": function to convert temperature in Celsius to Fahrenheit. "fahrenheitparakelvin": function to convert temperature in Fahrenheit to Kelvin. "fahrenheitparacelsius": function to convert temperature in Fahrenheit to Celsius. "seigual": equal conditional function; requires four arguments separated by "|", if the first is equal to the second, it returns the third, otherwise the fourth. "sediferente": not equal conditional function; requires four arguments separated by "|", if the first is different from the second, it returns the third, otherwise the fourth. "semaiorouigual": greater than or equal conditional function; requires four arguments separated by "|", if the first is greater than or equal to the second, it returns the third, otherwise the fourth. "semenorouigual": equal conditional function; requires four arguments separated by "|", if the first is less than or equal to the second, it returns the third, otherwise the fourth. "semaior": greater than conditional function; requires four arguments separated by "|", if the first is greater than the second, it returns the third, otherwise the fourth. "semenor": less than conditional function; requires four arguments separated by "|", if the first is less than the second, it returns the third, otherwise the fourth. "pitagoras": pythagoras function, returns the hypotenuse given the legs; requires two arguments separated by "|", the legs. "diagonalparalelepipedo": returns the diagonal of a parallelepiped; requires three arguments separated by "|", the edges. "pat": returns the n-th term of an AP; requires three arguments separated by "|", the first term, the ratio, and the position "n". "par": returns the ratio of an AP; requires three arguments separated by "|", the first term, the last term, and the number of terms. "pas": returns the sum of the terms of an AP; requires three arguments separated by "|", the first term, the last term, and the number of terms. "pasr": returns the sum of the terms of an AP; requires three arguments separated by "|", the first term, the ratio, and the number of terms. "pgt": returns the n-th term of a GP; requires three arguments separated by "|", the first term, the ratio, and the position "n". "pgr": returns the ratio of a GP; requires three arguments separated by "|", the first term, the last term, and the number of terms. "pgs": returns the sum of the terms of a GP; requires three arguments separated by "|", the first term, the last term, and the number of terms. "pgsr": returns the sum of the terms of a GP; requires three arguments separated by "|", the first term, the ratio, and the number of terms. "mmc": returns the mmc of the arguments, positive integer arguments separated by "|". "mdc": returns the gcd of the arguments, positive integer arguments separated by "|". "mediaaritmetica": returns the arithmetic mean of the arguments, arguments separated by "|". "mediaaritmeticaponderada": returns the weighted arithmetic mean of the arguments, arguments in pairs, first the weights, second the values, separated by "|". "mediageometrica": returns the geometric mean of the arguments, arguments separated by "|". "mediaharmonica": returns the arithmetic mean of the arguments, arguments separated by "|". "sum": returns the sum; arguments separated by "|", first the function in the standard variable, second the first index, and third the second index. "prod": returns the product; arguments separated by "|", first the function in the standard variable, second the first index, and third the second index. "composicao": returns the numerical value of the composite function passed as an argument; arguments separated by "|", first the function in the default variable, second the period, and third the number of compositions. "base": returns the number corresponding to the string passed as the first argument, the string must be between "[" and "]" for its processing to be ignored; the corresponding base is the second argument; arguments separated by "|". "max": returns the maximum value among the arguments passed; arguments separated by "|". "min": returns the minimum value among the arguments passed; arguments separated by "|". "mediana": returns the statistical median of the arguments passed; arguments separated by "|". "variancia": returns the statistical variance of the arguments passed; arguments separated by "|". "desviopadrao": returns the standard deviation of the arguments passed; arguments separated by "|". "tamanhostring": returns the length of the string passed as an argument; it must be between the characters "[" and "]" for its processing to be ignored. "numeroocorrenciasstring": returns the number of occurrences of a substring in a string passed as arguments; first: the main string; second: the substring; must be between the characters "[" and "]" so that their processing is ignored. "der": derivative at a point. Requires 4 arguments separated by "|": the function in the standard variable, the point, the order of the derivative, and the natural number precision. "int": definite integral. Requires 4 arguments separated by "|": the function in the standard variable, the lower limit, the upper limit, and the natural number precision. "raizes": returns the roots of the function passed as a parameter; requires 5 arguments: the function in the default variable, the lower search point, the upper search point, the root to be found, starting with "0" for the first root found, "1" if a second root is found, "2" if a third root is found, etc., or "-1" to return the number of roots found, and as the last argument the positive integer resolution of the search. _____ Calculation example in "antoniovandre_eval": Input: "(2 + ln (5 - 2 ^ (8 - 6))) * 3"; Output: "6". ____________________ Suggestions or reporting errors: "a.vandre.g@gmail.com". ____________________