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856 Appendix A: Functions and Instructions
propFrac() MATH/Algebra menu
propFrac(
expression1
[,
var
]) ⇒
⇒⇒
⇒
expression
propFrac(
rational_number
) returns
rational_number
as the sum of an integer and a fraction having the
same sign and a greater denominator magnitude
than numerator magnitude.
propFrac(4/3) ¸ 1 + 1/3
propFrac(
ë 4/3) ¸ ë1ì 1/3
propFrac(
rational_expression,var
) returns the sum
of proper ratios and a polynomial with respect to
var
. The degree of
var
in the denominator exceeds
the degree of
var
in the numerator in each proper
ratio. Similar powers of
var
are collected. The
terms and their factors are sorted with
var
as the
main variable.
If
var
is omitted, a proper fraction expansion is
done with respect to the most main variable. The
coefficients of the polynomial part are then made
proper with respect to their most main variable
first and so on.
For rational expressions,
propFrac() is a faster
but less extreme alternative to
expand().
propFrac((x^2+x+1)/(x+1)+
(y^2+y+1)/(y+1),x)
¸
propFrac(ans(1))
PtChg CATALOG
PtChg
x
,
y
PtChg
xList
,
yList
Displays the Graph screen and reverses the screen
pixel nearest to window coordinates
(
x
,
y
).
Note:
PtChg through PtText show continuing
similar examples.
PtChg 2,4 ¸
PtOff CATALOG
PtOff
x
,
y
PtOff
xList
,
yList
Displays the Graph screen and turns off the
screen pixel nearest to window coordinates
(
x
,
y
).
PtOff 2,4 ¸
PtOn CATALOG
PtOn
x
,
y
PtOn
xList
,
yList
Displays the Graph screen and turns on the screen
pixel nearest to window coordinates
(
x
,
y
).
PtOn 3,5 ¸
ptTest() CATALOG
ptTest (
x
,
y
) ⇒
⇒⇒
⇒
Boolean constant expression
ptTest (
xList
,
yList
) ⇒
⇒⇒
⇒
Boolean constant expression
Returns true or false. Returns true only if the
screen pixel nearest to window coordinates (
x
,
y
)
is on.
ptTest(3,5) ¸ true