# Van Der Waerden Theorem [closed]

Can someone explain me what's the meaning of the term "l-equivalent" in the following paper:

http://www.math.ucsd.edu/~ronspubs/74_01_van_der_waerden.pdf

?

I saw the definition at the first lines, but couldn't understand what is its meaning.

Hope someone will be able to help me

Thanks !

-

## closed as unclear what you're asking by Jonas Meyer, Fundamental, DavidP, RecklessReckoner, TravisJan 19 at 4:42

Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question.If this question can be reworded to fit the rules in the help center, please edit the question.

Please make the question self contained. –  Beni Bogosel Mar 22 '12 at 19:18

$(x_1,\cdots,x_m)$ and $(x_1,\cdots,x_m)$ are called $l$-equivalent if either $x_i,y_i<l$ for $i=1,\cdots ,m$ or if for some $j\leq m$ we have $x_j=y_j=l$ and $x_i,y_i<l$ for $i=j+1,\cdots ,m$.