RE: proper way to manipulate lists?

• To: mathgroup at smc.vnet.net
• Subject: [mg40203] RE: [mg40182] proper way to manipulate lists?
• From: "David Park" <djmp at earthlink.net>
• Date: Tue, 25 Mar 2003 14:50:29 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

```Nathan,

data = Table[{i, i + 1}, {i, 1, 5}]
{{1, 2}, {2, 3}, {3, 4}, {4, 5}, {5, 6}}

{a, b}# & /@ data
{{a, 2 b}, {2 a, 3 b}, {3 a, 4 b}, {4 a, 5 b}, {5 a, 6 b}}

David Park

From: Nathan Moore [mailto:nmoore at physics.umn.edu]
To: mathgroup at smc.vnet.net

I'm sure this is a one-liner, but it has stumped me for years.  Suppose
I'm working with a 2-d array of data,
data = {{x1,y1},{x2,y2}...{xN,yN}};
and I want to transform the data according to,
data2 = {{x1*a,y1*b},{x2*a,y2*b}...{xN*a,yN*b}};
The only way I know to do this is to move the data to excel,
performing the transform and then move the data back to Mathematica.  This
is crazy - there must be a better way - is there?  Please tell me there
is!

regards,

Nathan Moore, University of Minnesota Physics Department

```

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