منابع مشابه
Lattices in Computer Science Lecture 1 Introduction Lecturer : Oded Regev
In this course we will consider mathematical objects known as lattices. What is a lattice? It is a set of points in n-dimensional space with a periodic structure, such as the one illustrated in Figure 1. Three dimensional lattices occur naturally in crystals, as well as in stacks of oranges. Historically, lattices were investigated since the late 18th century by mathematicians such as Lagrange,...
متن کاملLecturer: Lecturer Name Date: Date
The goal of this document is to provide a computationally practical guide to game-theoretic problems. We discuss the current intractibility of finding Nash Equilibria exactly, and of even specifying a game in normal form for a large number of players. But hope is not lost. Efficiently computable solution concepts are presented as alternatives to Nash Equilibria, with a corresponding notion of P...
متن کاملLecturer : Constantinos
We start with a review of some elements from last lecture. Let us consider a marketplace where the excess demand on goods is a well-defined vector-valued function f(p) of the prices p. This happens, e.g., when traders’ utility functions are strictly concave, so that they have unique utility-optimizing bundles. In this case, the excess demand function is the difference of the total demand and th...
متن کاملLecturer : Michel
The point (0.5, 0.5, 0.5) ∈ P1, i.e. it satisfies the constraints above; however it is not in the convex hull of the matching vectors. The above example motivates the following family of additional constraints (introduced by Edmonds). Observe that for any matching M , the subgraph induced by M on any odd cardinality vertex subset U has at most (|U | − 1)/2 edges. Thus, without losing any of the...
متن کاملLecture 2 Introduction to Some Convergence theorems Friday 14 , 2005 Lecturer : Nati Linial
r∈Z f̂(r)e In the last lecture, we proved Fejér’s theorem f ∗ kn → f where the ∗ denotes convolution and kn (Fejér kernels) are trignometric polynomials that satisfy 1. kn ≥ 0 2. ∫ T kn = 1 3. kn(s) → 0 uniformly as n→∞ outside [−δ, δ] for any δ > 0. If X is a finite abelian group, then the space of all functions f : X → C forms an algebra with the operations (+, ∗) where + is the usual pointwis...
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ژورنال
عنوان ژورنال: Journal of the Geotechnical Engineering Division
سال: 1974
ISSN: 0093-6405,2690-246X
DOI: 10.1061/ajgeb6.0000063