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Re: Linear Interpolation problems
*To*: mathgroup at smc.vnet.net
*Subject*: [mg102374] Re: [mg102359] Linear Interpolation problems
*From*: Bob Hanlon <hanlonr at cox.net>
*Date*: Fri, 7 Aug 2009 05:30:08 -0400 (EDT)
*Reply-to*: hanlonr at cox.net
ndp = 2; (* number of decimal places *)
f = Interpolation[{{3, 20}, {10, 50}},
InterpolationOrder -> 1];
Table[{n, NumberForm[f[n] // N, {4, ndp}]},
{n, 3, 10}]
{{3, "20.00"}, {4, "24.29"}, {5, "28.57"}, {6, "32.86"},
{7, "37.14"}, {8, "41.43"}, {9, "45.71"}, {10, "50.00"}}
f = Interpolation[{
{{1, 3}, 20}, {{2, 3}, 30}, {{3, 3}, 60},
{{1, 10}, 50}, {{2, 10}, 55}, {{3, 10}, 25}},
InterpolationOrder -> 1];
m = Table[NumberForm[f[firm, year] // N, {4, ndp}],
{firm, 3}, {year, 3, 10}]
{{"20.00", "24.29", "28.57", "32.86", "37.14", "41.43",
"45.71", "50.00"}, {"30.00", "33.57", "37.14",
"40.71", "44.29", "47.86", "51.43", "55.00"},
{"60.00", "55.00", "50.00", "45.00", "40.00", "35.00",
"30.00", "25.00"}}
TableForm[m, TableHeadings ->
{{"A", "B", "C"}, Range[3, 10]}]
Bob Hanlon
---- kosal lee <leekosal at yahoo.com> wrote:
=============
Hello,
I am new to Mathematica. Please help me with linear interpolation problems. Thank you for your help.
First, suppose I have two real values
year earnings
x = 3 f(x) = 20
x= 10 f(x) = 50
I want to have the interpolated values of f(4), f(5), to f(9) which is between actual values of f(3) and f(10). How can I do that with Mathematica?
Second, suppose I have an excel spreadsheet having those above values for multiples firms as of the following
firm f(3) f(10)
A 20 50
B 30 55
C 60 25
I want to have the values of f(4) till f(9) as above and are stored in excel spreadsheet as of the following:
firm f(3) f(4) f(5) ... (f9) f(10)
A 20 50
B 30 55
C 60 25
Best Regards,
Kosal
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