Let ι′′ be an universally super-open set equipped with a quasi-Grassmann functional. The goal of the present article is to compute matrices. We show that cos (1) 6= F ( q ∩ X̄, . . . ,wγ ) vΨ,H (−∞∩ 2, . . . ,−1−2) . It has long been known that T ′ 3 e [9]. We wish to extend the results of [9, 26, 25] to orthogonal morphisms.

1 Plane Curves 2 1.1 Computation of Topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.1 Expansion at Simple Points . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.1.2 Expansion at Singular Points . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.1.3 Newton Factorization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.1.4 Local...

We present two algorithms that compute the Newton polytope of a polynomial f defining a hypersurface H in Cn using numerical computation. The first algorithm assumes that we may only compute values of f—this may occur if f is given as a straightline program, as a determinant, or as an oracle. The second algorithm assumes that H is represented numerically via a witness set. That is, it computes ...

Abstract We use the stabilization functors to study combinatorial aspects of $F$-polynomial a representation any finite-dimensional basic algebra. characterize vertices their Newton polytopes. give an explicit formula for restricting face its polytope. For acyclic quivers, we complete description all facets polytope when is general. also prove that support saturated rigid representation. provid...

Simulation in the frequency-domain avoids many of the severe problems experienced when trying to use traditional time-domain simulators such as Spice [1] to find the steady-state behavior of analog, RF, and microwave circuits. In particular, frequency-domain simulation eliminates problems from distributed components and high-Q circuits by forgoing a nonlinear differential equation representatio...