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Foundations of Artificial Intelligence
This course is about designing rational agents Thinking rationally is only one way of acting rationally Rationality is more clearly defined and general than human-centered ap-proaches AIMA Chapter 1 (after Russell and Norvig) 9 AI Prehistory and History Many disciplines (philosophy, mathematics, economics, psychology, linguis-
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CS 1652: Data Communication and Computer Networks …
people.cs.pitt.edufrom the application layer to the data-link layer. Concurrent with the lectures, you (in groups of two) will be building a functional TCP/IP stack and a small web server that will run on it.
Informal proofs - University of Pittsburgh
people.cs.pitt.eduInformal proofs Proving theorems in practice: • The steps of the proofs are not expressed in any formal language as e.g. propositional logic
MIPS Floating Point Instructions
people.cs.pitt.edu11/9/2011 1 MIPS Floating Point Instructions CS/COE 447 Why Floating Point? • Sometimes need very small, or very large numbers? Non-integers?
Propositional logic: Horn clauses
people.cs.pitt.edu• Horn form (Horn normal form) • Two inference rules that are sound and complete with respect to propositional symbols for KBs in the Horn normal form: – Resolution (positive unit resolution) – Modus ponens (A∨¬B) ∧(¬A∨¬C ∨D) Can be written also as: (B ⇒ A) ∧(( A ∧C) ⇒ D) CS 2740 Knowledge Representation M. Hauskrecht ...
Sequences and summations
people.cs.pitt.eduSequences and summations CS 441 Discrete mathematics for CS M ... Arithmetic progression Definition: An arithmetic progression is a sequence of the ... -1, 3, 7, 11, … 3 CS 441 Discrete mathematics for CS M. Hauskrecht Geometric progression Definition A geometric progression is a sequence of the form: a, ar, ar2, ..., ark, where a is the ...
Time Series: Autoregressive models AR, MA, ARMA, ARIMA
people.cs.pitt.eduGaussian White Noise {A particular useful white noise is Gaussian white noise, wherein the w ... -20 0 20 40 60 80 12/77. Time Series Analysis The procedure of using known data values to t a time series ... Measures of Dependence A complete description of a time series, observed as a
Introduction to Kernel Methods
people.cs.pitt.edu1 Introduction to Kernel Methods Dave Krebs CS 3750 Fall 2007 ... Paradigm for Pattern Analysis. Kernel Methods in Bioengineering, Signal and Image Processing. 2007. ... 9 Mercer’s Condition (continued) if and only if, for any g(x) such that is finite, then It can be ...
Probabilities: Expected value
people.cs.pitt.eduExpected value Investment problem: • You have 100 dollars and can invest into a stock. The returns are volatile and you may get either $120 with probability of 0.4, or $90 with probability 0.6. • What is the expected value of your investment? • M. Hauskrecht Expected value Investment problem: • You have 100 dollars and can invest into a ...
Sets and set operations - University of Pittsburgh
people.cs.pitt.edu• Ordered-n tuples are used to represent an ordered collection. Definition: An ordered n-tuple (x1, x2, ..., xN) is the ordered collection that has x1 as its first element, x2 as its second element, ..., and xN as its N-th element, N 2. Example: • Coordinates of a point in the 2-D plane (12, 16) x y
Mathematical induction & Recursion
people.cs.pitt.eduMathematical induction • Used to prove statements of the form x P(x) where x Z+ Mathematical induction proofs consists of two steps: 1) Basis: The proposition P(1) is true. 2) Inductive Step: The implication P(n) P(n+1), is true for all positive n. • Therefore we conclude x P(x).
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csefel.vanderbilt.eduThe Center on the Social and Emotional Foundations for Early Learning Vanderbilt University vanderbilt.edu/csefel H1/4 P. 1/28 2/10 across the three levels,Consistently, Occasionally, and Seldom (i.e., across all children in the classroom, target child or specific groups of children, environment of all classrooms, etc.).
CaliforniaTeaching Performance Expectations
www.ctc.ca.govTPE 4: Planning Instruction and Designing Learning Experiences for All Students Elements 10 Narrative 11 TPE 5: Assessing Student Learning Elements 12 Narrative 12 TPE 6: Developing as a ProfessionalEducator Elements 13 Narrative 14. Subject-Specific. Pedagogy Developmentally Appropriate Practices in Relation to Subject-Specific Pedagogy . 15
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www.huduser.govHUD-code housing to some of the more popular and practical ways of designing and installing manufactured home foundation or support systems. These designs are springboards for exploring alternative design approaches and solutions. Lastly, through the use of case studies, the guide examines how some practitioners are already pursing