Lecture 1
نویسندگان
چکیده
منابع مشابه
Lecture 1 1 Overview
An admittedly simplistic view of undergraduate algorithms covers 2-3 decades perhaps to the nineties. It introduces analytical tools, basic algorithmic techniques, tends to cover cleanly stated problems such as minimum spanning trees, shortest paths, and maximum flow and with clever solutions. 1 The techniques tend to be combinatorial in nature. In this course, we will cover ideas from the last...
متن کاملLecture 1: Introductory Lecture 2 Basic Definitions
We start with the definitions of metric spaces and normed spaces. Definition 1 Let X be a set, and let d : X ×X → R ∪ {0}. The pair (X, d) is a metric space if for all x, y, z ∈ X, 1. d(x, y) = d(y, x) 2. d(x, y) = 0 ⇔ x = y 3. d(x, y) + d(y, z) ≥ d(x, z) (triangle inequality) Definition 2 A normed space is R for some finite k together with an associated mapping a → ‖a‖ from R to R ∪ {0} such t...
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– Presence of retired people (ie too old to work) implies a strong motive for saving – Competitive equilibrium is not always Pareto-Optimal, due to presence of an initial old generation. ∗ in absence of time-0 trading, initial old agents must consume their endowment, therefore young people must also consume theirs. – Potential role for money or government transfers to restore efficiency – Model...
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The Subject of this Series of Lectures is: Strong A.I. — what it is, how we may achieve it — apparent obstacles to achieving it — and how to overcome these obstacles. First: What is “strong A.I.”? My own personal interest is in a machine that is at least as good as a human in solving problems in Math, Science, and most aspects of Engineering. Eventually, through its ability to improve itself, a...
متن کاملLecture 1: Recursion
Reduction is the single most common technique used in designing algorithms. Reducing one problem X to another problem (or set of problems) Y means to write an algorithm for X , using an algorithm or Y as a subroutine or black box. For example, the congressional apportionment algorithm described in Lecture 0 reduces the problem of apportioning Congress to the problem of maintaining a priority qu...
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ژورنال
عنوان ژورنال: International Journal of Impotence Research
سال: 2001
ISSN: 0955-9930,1476-5489
DOI: 10.1038/sj.ijir.3900774