Essays about: "Polytopes"
Showing result 1 - 5 of 6 essays containing the word Polytopes.
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1. The cosmological polytope of the complete bipartite graph K_{2,n}
University essay from KTH/Matematik (Avd.)Abstract : A cosmological polytope of an undirected connected graph is a lattice polytope which when the graph is interpreted as a feynman diagram can be used to calculate the contribution of that feynman diagram to the wavefunction of some cosmological models. This contribution can be calculated using the canonical form of the cosmological polytope, which can be computed by taking the sum of the canonical forms of the facets of a subdivision of the cosmological polytope. READ MORE
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2. Box Polynomials of Lattice Simplices
University essay from KTH/Matematik (Avd.)Abstract : The box polynomial of a lattice simplex is a variant of the more well-known h∗-polynomial, where the open fundamental parallelepiped is considered instead of the half-open. Box polynomials are connected to h∗-polynomials by a theorem of Betke and McMullen from 1985. READ MORE
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3. Graph properties of DAG associahedra and related polytopes
University essay from KTH/Matematik (Avd.)Abstract : A directed acyclic graph (DAG) can be thought of as encoding a set of conditional independence (CI) relations among random variables. Assuming we sample data from a probability distribution satisfying these CI relations, a fundamental problem in causal inference is to recover the edge-structure of the underlying DAG. READ MORE
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4. Geometry of Toric Manifolds
University essay from Uppsala universitet/Teoretisk fysikAbstract : This project is an overview of Hamiltonian geometry on Kahler manifolds and of Kähler reduction. In the first section we define complex manifolds, give their basic properties and build some structures on them. We are mainly interested in Kähler manifolds which are a subset of symplectic manifolds. READ MORE
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5. Trajectory Planning for a Rigid Body Based on Voronoi Tessellation and Linear-Quadratic Feedback Control
University essay from KTH/Optimeringslära och systemteoriAbstract : When a rigid body moves in 3-dimensional space, it is of interest to nd a trajectory such that it avoids obstacles. With this report, we create an algorithm that nds such a trajectory for a 6- DOF rigid body. For this trajectory, both the rotation and translation of the rigid body are included. READ MORE
