       Re: := vs = in some function definitions

• To: mathgroup at smc.vnet.net
• Subject: [mg113631] Re: := vs = in some function definitions
• From: Sam Takoy <sam.takoy at yahoo.com>
• Date: Fri, 5 Nov 2010 05:12:41 -0500 (EST)
• References: <i9m7u7\$j41\$1@smc.vnet.net> <i9r80e\$hp5\$1@smc.vnet.net> <ia67b0\$sqp\$1@smc.vnet.net> <ia8qnq\$1tp\$1@smc.vnet.net>

```Hi,

I'm just following up on this topic, because it's rising up to cause
trouble.

I'm working on an elaborate project with elements of differential
geometry. So what I have is some global elements describing the geometry
and some functions that represent differential operators. I don't know
what other details to mention. There are many details, but I'm not sure
which ones are relevant and I have not been able to construct a
self-contained example.

I try to use "=" rather than ":=" so that as much as possible is
calculated once. For example, I use "curvature[x_, y_]=" rather than
"curvature[x_, y_]:=" because I want it to be calculated once and for
all.  The "curvature" function uses some of the global elements
describing the surface.

Then I have a differential operator ddt, defined like this:

ddt0[tensor_][x_, y_] := yadda Derivative[1, 0][tensor][x, y] yadda

and when I use "=" in place of ":=" the code produces the wrong answer.

Why could this be? I have made sure that variables tensor,x,y are not
defined anywhere in the code, but beyond that I can't figure out from
the previous responses what might be causing different action to take place.

Many thanks in advance for giving this long post your attention!

Thank you,

Sam

```

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