Rewri Menu - HP 40gs User Manual

hp40g+.book Page 28 Friday, December 9, 2005 1:03 AM
N o t e
TRUNC

REWRI menu

DISTRIB
14-28
Typing:
( ⋅
TAN P X
⎛
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
TAYLOR0
⎝
( ⋅
TAN Q X
gives:
3 5 2 3
⋅
P P – Q P
2
⋅
------ ----------------------------- x
+
3 3
⋅
Q 4 Q
'th-order' means that the numerator and the denominator
are expanded to the 4th relative order (here, the 5th
absolute order for the numerator, and for the
denominator, which is given in the end, the 2nd order (5−
3), seeing that the exponent of the denominator is 3).
Truncate at order n - 1
TRUNC enables you to truncate a polynomial at a given
order (used to perform limited expansions).
TRUNC has two arguments: a polynomial and X
TRUNC returns the polynomial truncated at order n−1;
that is, the returned polynomial has no terms with
exponents ≥n.
Typing:
⎛ ⎛
1
⋅
TRUNC 1 + X + -
⎝ ⎝
2
gives:
9
3 2
-- - x
4x + + 3x + 1
2
The REWRI menu contains functions that enable you to
rewrite an expression in another form.
Distributivity of multiplication
DISTRIB enables you to apply the distributivity of
multiplication in respect to addition in a single instance.
DISTRIB enables you, when you apply it several times, to
carry out the distributivity step by step.
) SIN P X ( ⋅ )
–
⎞
⎠
) SIN Q X ( ⋅ )
–
n
3
2 4
⎞ ⎞
X , X
⎠ ⎠
Computer Algebra System (CAS)
.