Abstracting the differential semantics of rule-based models: exact and automated model reduction

Let us consider two connected finite simplicial sets X and Y such that their homotopy groups are finite p-groups.We assume that there is a zigzag sequence of quasi-isomorphisms of

In this section we prove that the disk D is a critical shape in the class of constant width sets (see Propositions 3.2 and 3.5) and we determine the sign of the second order

In the case when the problem has scale separation and periodic structure, our method recovers the homogenized equation from the classical homogenization theory and the oscillatory

If an abstract graph G admits an edge-inserting com- binatorial decomposition, then the reconstruction of the graph from the atomic decomposition produces a set of equations and

The tobacco industry is unrelenting in its attempts to draw in new customers, grow its profits and undermine tobacco control efforts.. It monitors our activities and efforts so that

We will establish a local Li-Yau’s estimate for weak solutions of the heat equation and prove a sharp Yau’s gradient gradient for harmonic functions on metric measure spaces, under

Then, with this Lyapunov function and some a priori estimates, we prove that the quenching rate is self-similar which is the same as the problem without the nonlocal term, except

For a Landau-Ginzburg space ([ C n /G], W), we construct Witten’s top Chern class as an algebraic cycle using cosection localized virtual cycles in the case where all sectors