What does the $\wedge$-symbol mean in academic papers?

$\begingroup$

For instance, here's definition 16 of the Ethereum Yellow Paper:

Yellow Paper Defintion

Does $\wedge$ simply mean a concatenation of statements? Like the logic gate AND?

$\endgroup$ 1

3 Answers

$\begingroup$

$\wedge$ is exactly 'and' in this context. $\vee$ means 'or'. You can notice the similarity both in form and meaning with $\cap$ and $\cup$ from set theory.

In differential geometry, $\omega_1\wedge\omega_2$ also means the wedge product of two differential forms.

$\endgroup$ $\begingroup$

$\wedge$ is (most often) the mathematical symbol for logical conjunction, which is equivalent to the AND operator you're used to.

Similarly $\vee$ is (most often) logical disjunction, which would be equivalent to the OR operator.

$\endgroup$ $\begingroup$

Yes, this symbol is generally used to denote AND. See the wikipedia article on Logical Conjunction:

$ A\land B$ is true only if $A$ is true and $B$ is true

Similarly, we use $ A\lor B$ to mean $A$ OR $B$ (logical disjunction).

$\endgroup$

Your Answer

Sign up or log in

Sign up using Google Sign up using Facebook Sign up using Email and Password

Post as a guest

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

You Might Also Like