I am reading René Schilling' book "Measures, Integrals and Martingales". I learned this book a few years ago, but need to re-read it.

Now I even get confused at Prelude session. Please see the sentence with the red line. Can someone help me to understand what this sentence means?

Thank you very much.

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1 Answer 1


$a \lor b = \max(a,b)$

$a \land b = \min(a,b)$

These are two separate things packed into one sentence via "resp.", which is short for respectively.

  • 1
    $\begingroup$ Ok, I see, thank you very much. If he says " $a \vee b$ and $a \wedge b$ denote the maximum and mininum of numbers $a, b \in R$, respetively. It is probablely much easier for me to understand. $\endgroup$
    – Deep North
    Nov 2, 2017 at 23:47
  • 1
    $\begingroup$ Yes. I merely explained what the sentence meant. I did not advocate it as being the greatest piece of mathematical writing in history. :) $\endgroup$ Nov 2, 2017 at 23:49

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