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SELECT with variable values

Hi, I have


B = {1.3, 1.5, 1.6, 1.6, 1.7}; 

and


geo = {{0.099, 0.199, 0.286, 0.374, 0.452, 0.529},
            {  0.598, 0.666, 0.75, 0.833, 0.916, 1.},
            { 1.083, 1.166,   1.25, 1.333, 1.4, 1.466}, 
            { 1.533, 1.6, 1.66, 1.73, 1.8, 1.86},{ 1.93, 2., 2.08, 2.166, 2.25, 2.33, 2.41}}

I'd like SELECT in geo[[1]] the values < B[[1]], in geo [[2]] the values < B[[2]], in geo [[3]] the values < B[[3]] and so on. So if i use this command


Select[#, # <= B[[#]] &] & /@ geo   

or

Select[#, # <= B &] & /@ geo 

It doesn't run.

Someone could help me? Please?

Thank you. Margherita

4 Replies

Thank you very much.

Hi, here is annother short solution:

Re[Select[#, Re[#] > Im[#] &] & /@ (geo + I B)]

Henrik

POSTED BY: Henrik Schachner
Posted 11 years ago

Hi,

Below is example code. The Table function looks at each row and selects the elements of that row < the element row[[n]], where n is the index of the row. Note that it assumes it will always find the element m[[n,n]]. If a row is shorter than it's index number, it will fail to do so and generate an error. It will always work with a matrix with the number of rows <= columns. The Select employs a "pure function."

In[3]:= m = Table[RandomInteger[{1, 9}], {i, 5}, {j, 5}];

In[4]:= Table[
 Select[m[[i]], # < m[[i, i]] &],
 {i, Length[m]}
 ]

Out[4]= {{2, 1}, {1}, {3}, {}, {2, 3, 2, 3}}

Best, David

POSTED BY: David Keith

Hi,

Here is a couple of ways to do it:

Table[Select[geo[[i]], # < B[[i]] &], {i, 1, Length[geo]}]
Inner[Select[#1, Function[x, x < #2]] &, geo, B, List]

I.M.

POSTED BY: Ivan Morozov
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