Individuals of the same or closely related species can vary substantially in size. However, the proportions within (and between) tissues are precisely kept.
Given an undirected unweighted graph $G$, a \beta-additive spanner of $G$ is a subgraph H of G in which the shortest distance between any pair of vertices is stretched within an additive factor \beta of their shortest distance in $G$.
Given a connected graph, two players play a turn-based game: First. the red guy removes a node (and therefore, its adjoining edges too), now the blue guy adds edges between the remaining nodes.
In this talk, I'll discuss the pathwise optimization (PO) method for stochastic control problem. We will first see how the method produces upper and lower bounds on the optimal value of a high-dimensional optimal stopping problem.
The four-color theorem states that it is always possible to color the regions of a plane map with four colors such that regions that share a boundary receive different colors. This theorem was proven in 1976 by Appel and Haken.
Let $G$ be a random graph generated as follows:- each vertex $i$ of the vertex set $\{1,\ldots,n\}$ has an associated random variable $X_i$ where $\{X_i : i \ge 1\}$ are i.i.d.
Various verification methods depend on theorem provers to obtain proofs of verification conditions. If the provers return proofs that satisfy certain structure then it may enhance the performance of the verification methods.
