logic - Meaning of Monotone in Monotone Disjunction - Mathematics . . . The set of slides you link to speaks of "monotone disjunctions" in a particular AI context, and the terse woirding "no negations" makes sense only in this implicit context It is common in this area to consider disjunctive clauses of the form $$ x \lor y \lor \neg z \lor w \lor \cdots \lor \neg u $$ -- that is, a disjunction of input variables
A function is convex if and only if its gradient is monotone. Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
Proving $f(x)=x^2$ is monotone - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
Strong convexity and strong monotonicity of the sub-differential Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
monotone class theorem, proof - Mathematics Stack Exchange The Red Line shows that $\mathcal A \subseteq \mathcal M(A)$ In words, it is a monotone class containing the algebra $\mathcal A$ Since $\mathcal M$ is the smallest monotone class containing $\mathcal A$, it must be contained in any other monotone class containing $\mathcal A$ In particular, $\mathcal M \subseteq \mathcal M(A)$