Texas Instruments TI89 Developer Guide - Page 800
did_push_series, Declaration, Categoryies, Description, push_internal_simplify, Inputs, Outputs
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758 Appendix A: System Routines - Math 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(e^x, x, 3, 0) | x = 1 -> 8/3. Inputs: i - Index of the top tag of an internally-simplified expression, algebraic comparison, or an aggregate thereof. ki - Index of the top tag of a variable. k - Index of a non-negative number. j - NULL_INDEX or the index of the top tag of an algebraic expression. stop_after_1st_non0_term - TRUE if function should stop after the first nonzero term. 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 (continued) TI-89 / TI-92 Plus Developer Guide Not for Distribution Beta Version January 26, 2001
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