Question 1113555
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In order to be a linear constraint, all of the terms must be linear or constant.  A linear term is one where the sum of the exponents on the variables in the term is 1 and a constant term is where the sum of the exponents on the variables is 0.  If a term has no visible variables, you can assume as many variables as you like are there so long as all of the exponents are zero.  If you see a variable without an exponent, you can assume an exponent of 1 on that variable.  Symbolically:  *[tex \LARGE x^0\ =\ 1] no matter what *[tex \LARGE x] is.  And *[tex \LARGE x^1\ =\ x]


Examples:


A constant term, aka a term of degree 0:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4\ =\ 4x^0]


A linear term, aka a term of degree 1.  Note the sum of the exponents is 1:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ x^1y^0]


A non-linear term, in this case a term of degree 2.  Note the sum of the exponents is 2:



*[tex \LARGE \ \ \ \ \ \ \ \ \ \ xy\ =\ x^1y^1]



John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  

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