Texas Instruments TI-89 Tip List page 493

(matrix)
Return the matrix hyperbolic sine of square
matrix, which is not the hyperbolic sine of each
element. Refer to cos() for details. matrix must
be diagonalizable and the result always
constains floating-point numbers.
-1
sinh ()
(expr), (list)
Return the angle whose hyperbolic sine is the
argument. The result is returned as degrees or
radians depending on the current Angle mode
setting.
(matrix)
Return the matrix inverse hyperbolic sine of
square matrix, which is not the same as the
inverse hyperbolic sine of each element. Refer
to cos() for details. matrix must be
diagonalizable and the result always constains
floating-point numbers.
SinReg
xlist,ylist[,[iterations][,period][,catList,incList]]
Calculate the sinusoidal regression and update
the system statistics variables. xlist and ylist are
the x- and y-data points. iterations is the the
maximum number of solution interations; the
range is 1 to 16 and the default is 8. Larger
values may result in better accuracy but longer
execution time. period specifies the estimated
period. If not used, the elements of xlist should
be in sequential order and equally spaced. xlist,
ylist and catList must be variable names or c1 -
c99. incList need not be a variable name and
cannot be c1 - c99. All lists must have equal
dimensions except incList.
solve()
(eqn,var), (inequality,var)
Return candidate real solutions (as Boolean
expressions) for var of equation eqn or
inequality. Attempts to return all solutions, but
for some arguments there are infinite solutions.
In the Auto mode setting, concise exact
solutions are attempted, supplemented by
approximate solutions. Solutions may exist only
in the limit from one or both sides due to default
cancellation of the greatest common divisor
from ratio numerators and denominators. false
is returned if no real solutions can be found. true
is returned if solve() determines that any finite
real value is a solution. Solutions may include
unique arbitrary integers of the form @nj, where
j is an integer from 1 to 255. Use the "|" operator
to constrain the solution interval or other
variables.
In Real mode, fractional powers with odd
denominators denote only the real branch.
Otherwise, multiple branched expressions
(fractional powers, logarithms, inverse
trigonometric functions) denote the principle
branch. solve() produces solutions only for that
one real or principle branch.
Explicit solutions to inequalities are unlikely
unless the inequality is linear and only includes
var. In the Exact mode setting, portions which
cannot be solved are returned as implicit
equations or inequalities.
(eqn1 and eqn2 [and ...],{var1,var2[,...]})
Return candidate real solutions (as Boolean
expressions) to the simultaneous equations. var
arguments may be variable names, or variable
names with a solution guess in the form var =
guess. If all equations are polynomials and you
supply no guesses, solve() uses the lexical
Gröbner/Buchberger elimination to attempt to
find all solutions. Simultaneous polynomial
equations can have extra variables with no
values. Solution variables of no interest may be
omitted. Solutions may include arbitrary
constants of the form @k, where k is an integer
from 1 to 255. Computation time or memory
exhaustion may depend on the order of the vars
in the equations or variables list.
solve() attempts to find all real solutions with
Gaussian elimination if you include no guesses,
any equation is in non-polynomial in any
variable, but all equations are linear in the
solution variables.
solve() attempts to find one real solution (with
an interative approximate method) if the system
is neither polynomial in all its variables nor linear
in its solution variables. The number of solution
variables must equal the number of equations
and all other variables must simplify to numbers.
Each solution variable starts at its guess value,
or 0.0 if a guess is not used. Guesses may need
to be close to the solution for convergence.
SortA
listName1[,listName2][,listName3],...
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