Texas Instruments TINSPIRE Reference Guide - Page 54

dfNumer, dfDenom, interpolate, Catalog &gt, invNorm

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interpolate( ) Catalog > interpolate(xValue, xList, yList, yPrimeList) ⇒ list This function does the following: Differential equation: y'=-3·y+6·t+5 and y(0)=5 Given xList, yList=f(xList), and yPrimeList=f'(xList) for some unknown function f, a cubic interpolant is used to approximate the function f at xValue. It is assumed that xList is a list of monotonically increasing or decreasing numbers, but this function may return a value even when it is not. This function walks through xList looking for an interval [xList[i], xList[i+1]] that contains xValue. If it finds such an interval, it returns an interpolated value for f(xValue); otherwise, it returns undef. xList, yList, and yPrimeList must be of equal dimension | 2 and contain expressions that simplify to numbers. £ ¡ ¢ To see the entire result, press and then use and to move the cursor. Use the interpolate() function to calculate the function values for the xvaluelist: xValue can be a number or a list of numbers. invc2() invc2(Area,df) invChi2(Area,df) Computes the Inverse cumulative c2 (chi-square) probability function specified by degree of freedom, df for a given Area under the curve. invF() invF(Area,dfNumer,dfDenom) invF(Area,dfNumer,dfDenom) computes the Inverse cumulative F distribution function specified by dfNumer and dfDenom for a given Area under the curve. invNorm() invNorm(Area[,m[,s]]) Computes the inverse cumulative normal distribution function for a given Area under the normal distribution curve specified by m and s. invt() invt(Area,df) Computes the inverse cumulative student-t probability function specified by degree of freedom, df for a given Area under the curve. 48 TI-Nspire™ Reference Guide Catalog > Catalog > Catalog > Catalog >

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48
TI-Nspire™ Reference Guide
interpolate()
Catalog >
interpolate(
xValue
,
xList
,
yList
,
yPrimeList
)
⇒
list
This function does the following:
Given
xList
,
yList
=
f(
xList
)
, and
yPrimeList
=
f'(
xList
)
for some
unknown function
f
, a cubic interpolant is used to approximate the
function
f
at
xValue
. It is assumed that
xList
is a list of monotonically
increasing or decreasing numbers, but this function may return a
value even when it is not. This function walks through
xList
looking
for an interval [
xList
[i],
xList
[i+1]] that contains
xValue
. If it finds such
an interval, it returns an interpolated value for
f(
xValue
)
; otherwise, it
returns
undef
.
xList
,
yList
, and
yPrimeList
must be of equal dimension
|
2 and
contain expressions that simplify to numbers.
xValue
can be a number or a list of numbers.
Differential equation:
y
'=-3·
y
+6·
t
+5 and
y
(0)=5
To see the entire result, press
£
and then use
¡
and
¢
to
move the cursor.
Use the interpolate() function to calculate the function values for
the xvaluelist:
inv
c
2
()
Catalog >
inv
c
2
(
Area
,
df
)
invChi2(
Area
,
df
)
Computes the Inverse cumulative
c
2
(chi-square) probability function
specified by degree of freedom,
df
for a given
Area
under the curve.
inv
F
()
Catalog >
inv
F
(
Area
,
dfNumer
,
dfDenom
)
invF(
Area
,
dfNumer
,
dfDenom
)
computes the Inverse cumulative
F
distribution function specified by
dfNumer
and
dfDenom
for a given
Area
under the curve.
invNorm()
Catalog >
invNorm(
Area
[
,
m
[
,
s
]]
)
Computes the inverse cumulative normal distribution function for a
given
Area
under the normal distribution curve specified by
m
and
s
.
invt()
Catalog >
invt(
Area
,
df
)
Computes the inverse cumulative student-t probability function
specified by degree of freedom,
df
for a given
Area
under the curve.