. Notes on MATHS Notation Special characters are defined in .See http://www.csci.csusb.edu/dick/maths/intro_characters.html that also outlines the syntax of expressions and a document. Proofs follow a natural deduction style that start with assumptions ("Let") and continue to a consequence ("Close Let") and then discard the assumptions and deduce a conclusion. Look here .See http://www.csci.csusb.edu/dick/maths/logic_25_Proofs.html#Block Structure for more on the structure and rules. The notation also allows you to create a new network of variables and constraints. A "Net" has a number of variables (including none) and a number of properties (including none) that connect variables. You can give them a name and then reuse them. The schema, formal system, or an elementary piece of documentation starts with "Net" and finishes "End of Net". For more, see .See http://www.csci.csusb.edu/dick/maths/notn_13_Docn_Syntax.html for these ways of defining and reusing pieces of logic and algebra in your documents. A quick example: a circle might be described by Net{radius:Positive Real, center:Point, area:=\pi*radius^2, ...}. For a complete listing of pages in this part of my site by topic see .See http://www.csci.csusb.edu/dick/maths/home.html . Notes on the Underlying Logic of MATHS The notation used here is a formal language with syntax and a semantics described using traditional formal logic .See http://www.csci.csusb.edu/dick/maths/logic_0_Intro.html plus sets, functions, relations, and other mathematical extensions. For a more rigorous description of the standard notations see STANDARD::=http://www.csci.csusb.edu/dick/maths/math_11_STANDARD.html . Glossary above::reason="I'm too lazy to work out which of the above statements I need here", often the last 3 or 4 statements. The previous and previous but one statments are shown as (-1) and (-2). given::reason="I've been told that...", used to describe a problem. given::variable="I'll be given a value or object like this...", used to describe a problem. goal::theorem="The result I'm trying to prove right now". goal::variable="The value or object I'm trying to find or construct". let::reason="For the sake of argument let...", introduces a temporary hypothesis that survives until the end of the surrounding "Let...Close.Let" block or Case. hyp::reason="I assumed this in my last Let/Case/Po/...". QED::conclusion="Quite Easily Done" or "Quod Erat Demonstrandum", indicates that you have proved what you wanted to prove. QEF::conclusion="Quite Easily Faked", -- indicate that you have proved that the object you constructed fitted the $goal you were given. RAA::conclusion="Reducto Ad Absurdum". This allows you to discard the last assumption ($let) that you introduced.