CalcAndChart

Features CalcAndChart

The calculator has the following functions/operations: "2bdcm", "2qt", "2dbl", "rref", "I"," ceil", "floor", "dgrs", "rdns", "cosh", "sinh", "tanh", "cbrt", "log10", "expm1", "ln1p", "asin", "sin", "acos", "cos", "atan", "tan", "ln", "exp", "sqrt", "abs", "cross", "dot", "powb", "atan2", "hypot", "min", "max", "det", "rank", "inv", "lslv", "random", "date", "roots", "rroots", "polynomMin", "Int", "Seq", "sum", "memory", "clear", "<-", "->", "plot", "xyPlt".
One can get a quick help by evaluating ?name.
For example,"?sin(" will return some information about sin(x).
The procedure "Int" can calculate iterated integrals.
"lslv" solves systems of linear equations which can be underdetermined.
For example, "lslv({1,1;1,-2},{1;1})" will solve the following system of linear equationsx+y=1,x-2y=1."rroots" finds all real roots for a polynomial with real coefficients, e.g., "roots(0.01,{1,0,0,1})" yields "-1".
On the other hand, "roots" calculate all roots for a polynomial, e.g., "roots(0.01,{1,0,0,1})" returns "{-1;0.5,0.8660254;0.5,-0.8660254}", where the precision is "IEEE 754R Decimal32" and roots are calculated with the error less or equal to "0.01"."polynomMin" finds the minimum of a real polynomial on a given interval, e.g., "polynomMin(0.01,-8..1,{1,2,1})" returns "-1", where "0.01" is the precision.
"polynomMin" and "rroots" are based on the recently discovered algorithm (Leap Gradient Algorithm) presented in"https://arxiv.org/abs/1405.5548".
A<-{1,1;1,2} defines a 2x2 matrix A.
"inv(A)" delivers the inverse of "A".
"det(A)" yields the determinant of "A".
"rank(A)" calculates the rank of "A".
"rref(A)" delivers the reduced row echelon form for "A"."A<-eval(Seq(x^2-1,x^3-x,x={0.01,-2..2}))" evaluates and stores the sequence "Seq(x^2-1,x^3-x,x={0.01,-2..2})" into "A".
"xyPlt({A})" creates the plot for "A".