Where Can I Learn This Notation?

  • #1
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I'm trying to read a mathematical systems theory book (by Heij, Ran, and van Schagen) and he uses notation that I don't understand. He's not the only one...other books use the same notation too, but I never learned it. For example:

"Definition 1.2.2. An input-output system consists of a set of input trajectories [tex]\{u : T \rightarrow U\}[/tex] and output trajectories [tex]\{y : T \rightarrow Y \}[/tex] related by a mapping F. The system behaviour is given by [tex]\beta = \{(u, y) : T \rightarrow U \times Y ; y = F(u)\}[/tex]."

The parts of the quote in latex is what I don't understand. I can have a general idea what he means, but where do students learn this notation? Is it real analysis? If so, I can just buy a book and read since I've seen notation like this practically everywhere without explanation which leads me to think that it's rather elementary.
 

Answers and Replies

  • #2
JasonRox
Homework Helper
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I'm trying to read a mathematical systems theory book (by Heij, Ran, and van Schagen) and he uses notation that I don't understand. He's not the only one...other books use the same notation too, but I never learned it. For example:

"Definition 1.2.2. An input-output system consists of a set of input trajectories [tex]\{u : T \rightarrow U\}[/tex] and output trajectories [tex]\{y : T \rightarrow Y \}[/tex] related by a mapping F. The system behaviour is given by [tex]\beta = \{(u, y) : T \rightarrow U \times Y ; y = F(u)\}[/tex]."

The parts of the quote in latex is what I don't understand. I can have a general idea what he means, but where do students learn this notation? Is it real analysis? If so, I can just buy a book and read since I've seen notation like this practically everywhere without explanation which leads me to think that it's rather elementary.

It's rather an elementary thing, which is a good thing!

I would say just read any decent Analysis, Topology or Set Theory introduction and you'll get it. Only like chapter 1 pretty much.

It might look weird now, but once you get it, you won't want to write any other way. It's the easiest way to write math ideas down.
 

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