Push_Div_Dif_1F - Texas Instruments TI-89 Developer's Manual

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push_div_dif_1f

Declaration: void push_div_dif_1f (EStackIndex i , EStackIndex vi , EStackIndex j )
Category(ies): Algebra Utilities
Description: Pushes onto the estack the forward first difference (TI-BASIC function
avgRC) of the expression indexed by i , with respect to the variable indexed
by vi , using the expression indexed by j as the step size.
For example: avgRC (f(x), x, h) -> (f(x + h) - f(x))/h.
If invoked via the push_internal_simplify function, vi then i are simplified
to deepest variable. However, if the deepest variable value of vi has a
such-that or § value, that value is substituted for the deepest variable
value after computing the first difference.
For example, avgRC (x^3, x, h) | x = 1 -> h^2 + 3h + 3.
i
Inputs:
vi — Index of a variable.
j
Outputs: None
Assumptions: None
Side Effects: None
Availability: On AMS 2.02 and higher.
TI-89 / TI-92 Plus
None
Differences:
See Also: push_div_dif_1c
Example:
push_Float (1e-4);
h = top_estack;
push_quantum (8u);
vi = top_estack; /* Push variable x */
push_quantum (EXP_TAG);
push_div_dif_1f (top_estack, vi, h);
TI-89 / TI-92 Plus Developer Guide
Appendix A: System Routines — Algebra Utilities
— Index of the top tag of an internally-simplified algebraic expression,
comparison or aggregate thereof.
— Index of the top tag of an internally-simplified algebraic expression
or an aggregate thereof.
/* top_estack -> e^x */
/* push avgRC(e^x, x, 1e-4) */
Not for Distribution Beta Version January 26, 2001