HP Prime Graphing Wireless Calculator Instrukcja Użytkownika Pobierz pdf (Strona 489)

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logarithmic_regression

Given a set of points, returns a vector containing the coeicients a and b of y=a*ln(x)+b, the natural

logarithmic function which best ts the set of points. The points may be the elements in two lists or the rows

of a matrix.

logarithmic_regression(Matrix) or logarithmic_regression(List1, List2)

Example:

logarithmic_regression returns [6.3299…, 0.7207…]

logb

Returns the logarithm of base b of a.

logb(a,b)

Example:

logb(5,2) gives ln(5)/ln(2) which is approximately 2.32192809489

logistic_regression

Returns y, y', C, y'max, xmax, and R, where y is a logistic function (the solution of y'/y=a*y+b), such that

y(x0)=y0 and where [y'(x0),y'(x0+1)...] is the best approximation of the line formed by the elements in the list

logistic_regression(Lst(L),Real(x0),Real(y0))

Example:

logistic_regression([0.0,1.0,2.0,3.0,4.0],0.0 ,1.0) gives [-17.77/(1+exp(-

0.496893925384*x+2.82232341488+3.14159265359* i)),-2.48542227469/(1+cosh(- 0.496893925384*x

+2.82232341488+3.14159265359* i))]

For a numerical matrix A, returns permutation P, L and U such that PA=LU.

lu(Matrix)

Example:

lu([1 2],[3 4]) returns [ [1 2] [[1 0],[3 1]] [[1 2], [0 -2]]]

lvar

Given an expression, returns a list of the functions of the expression which utilize variables, including

occurrences of the variables themselves.

lvar(Expr)

Example:

lvar(e^(x)*2*sin(y) + ln(x)) returns [e^(x) sin(y) ln(x)]

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