Did_Push_Series - Texas Instruments TI-89 Developer's Manual

758

did_push_series

Declaration: Boolean did_push_series (EStackIndex i , EStackIndex ki ,
EStackIndex k , EStackIndex j , Boolean stop_after_1st_non0_term )
Category(ies): Math
Description: Returns TRUE if it successfully pushes onto the estack the kth -order Taylor
series expansion of expression i with respect to variable ki expanded about
ki = expression j .
j == NULL_INDEX makes the expansion point 0.
Stops early after the first nonzero term if stop_after_1st_non0_term is
TRUE. If invoked via push_internal_simplify, ki and i are simplified to
deepest variable. However, if the deepest variable value of ki has a
such-that or § value, that value is substituted for the deepest variable
value after computing the symbolic series.
For example, taylor(
Inputs: i
ki
k
j
stop_after_1st_non0_term — TRUE if function should stop after the first
Outputs: Returns TRUE if it successfully pushes onto the estack the kth -order Taylor
series expansion of expression i with respect to variable ki expanded about
ki = expression j . Otherwise returns FALSE.
Assumptions: None
Side Effects: None
Availability: On AMS 2.02 and higher.
TI-89 / TI-92 Plus
Differences: None
TI-89 / TI-92 Plus Developer Guide
Appendix A: System Routines — Math
^x, x, 3, 0) | x = 1 -> 8/3.
e
— Index of the top tag of an
internally-simplified expression, algebraic
comparison, or an aggregate thereof.
— Index of the top tag of a variable.
— Index of a non-negative number.
— NULL_INDEX or the index of the top tag of
an algebraic expression.
nonzero term.
(continued)
Not for Distribution Beta Version January 26, 2001