       RE: If-statement problems

• To: mathgroup at smc.vnet.net
• Subject: [mg49493] RE: [mg49472] If-statement problems
• From: "David Park" <djmp at earthlink.net>
• Date: Thu, 22 Jul 2004 02:45:01 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```Aaron,

Forget For statements. Mathematica has much more natural ways for doing
this.

You could just use a simple Set statement as follows:

{a, b, c, d} = {5, 6, 7, 8};

{a, b, c, d}
{5, 6, 7, 8}

Then an expression involving these variables is automatically evaluated.

a^2b/(c(1 - d))
-(150/49)

But then you can't use a,b,c and d as symbols anymore. I usually try not to
set values for single variable symbols. Setting them and then later
forgetting that they have values is one of the most common errors in
Mathematica. Another method is to set rules for them.

Clear[a, b, c, d]
valuerules = Thread[{a, b, c, d} -> {5, 6, 7, 8}]
{a -> 5, b -> 6, c -> 7, d -> 8}

You can then substitute into an expression involving these variables using
the rules, without destroying the ability to use the variables as symbols.

a^2b/(c(1 - d))
% /. valuerules
(a^2*b)/(c*(1 - d))
-(150/49)

Which method is best depends on your own convenience.

As for the For and If (with a capital I) statements I'll let others explain
them because they are far too complicated for me.

David Park

From: Aaron Fude [mailto:aaronfude at yahoo.com]
To: mathgroup at smc.vnet.net

Hi,

New to Mathematica. I can't figure out how to use the if-statement for pure
flow control.

Here's an example:

A = {5, 6, 7, 8}
For [n = 1, n <= 4, n++,
if [n == 1, a = A[[n]]];
if [n == 2, b = A[[n]]];
if [n == 3, c = A[[n]]];
if [n == 4, d = A[[n]]];
]

I want to assign to a b c and d the 4 values from A. Obviously, that's not
what happens. How do I accomplish what I need?

Many thanks in advance!!!

Aaron Fude

```

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