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Re: newbie: how to define, typeset a multi-rule function?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg96826] Re: newbie: how to define, typeset a multi-rule function?
  • From: dh <dh at metrohm.com>
  • Date: Wed, 25 Feb 2009 04:08:42 -0500 (EST)
  • References: <go0j63$n28$1@smc.vnet.net>


Hi Tom,

for piecewise defined functiom there is "Piecewise". In your case:

Piecewise[{{1,0<=x<1}},0]

But you may achieve the same with conditional function definitions:

fun[x_]=0

fun[x_]/;0<=x<1 =1

here more specific function definitions override less specific ones.

hope this helps, Daniel



Tom Roche wrote:

> As advertised by the Subject:, I'm new to Mathematica (specifically

> 7.0.0 for Students for 32-bit Windows on XP Pro) so please excuse any

> lapses in terminology. I'd also appreciate pointers to specific docs

> rather than just an RTFM. I suspect in this case I just need to know

> what the appropriate term is for what I'm trying to create. However

> I've tried searching the docs for various permutations of multi-rule

> or multi-line function, and even googling, to no avail.

> 

> I'm trying to create a notebook that typesets a particular

> mathematical function, and then solves it. The function has 2 parts or

> rules: it returns k (a constant) for one part of its domain, and 0

> otherwise. This is typically typeset with the function name and the

> equals sign on one line, then a large left curly bracket (or brace)

> centered on that line, then each rule on a separate line with all the

> rule lines to the right of the bracket. For an example in a math

> layout, I can almost typeset the function in OpenOffice Math like

> 

> f_x(%chi) = left lbrace stack {k if %chi in [0,1] # 0 otherwise} right

> rbrace

> 

> (except that I don't want the closing brace, but that's another

> problem). I tried to create this using the palettes, but I didn't see

> one that did multiline brackets. What do I need to use?

> 

> Once I've typeset this function, I want to actually solve it. How does

> one create a function with multiple rules in Mathematica?

> 

> TIA, Tom Roche <Tom_Roche at pobox.com>

> 




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