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- Convergence of monotone nets - Mathematics Stack Exchange
Convergence of monotone nets Ask Question Asked 6 years, 5 months ago Modified 6 years, 5 months ago
- A function is convex if and only if its gradient is monotone.
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- proof of almost everywhere differentiability of monotone functions
I'm reading quot;An introduction to measure theory quot; from Terry Tao and I'm stuck understanding part of the proof of the following theorem:(whole argument can be found in his weblog Theorem 53
- 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 monotone convergence theorem for nets in Reed and Simon, Vol. I
Reed and Simon state the following monotone convergence theorem for nets (Theorem IV 15, Vol I)
- Strong convexity and strong monotonicity of the sub-differential
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