'Variable x' presentation slideshows

Chapter 2 Fundamentals of Logic

Chapter 2 Fundamentals of Logic. Dept of Information management National Central University Yen-Liang Chen. 2.1 Basic connectives and truth table. Assertions, called statements or propositions, are declarative sentences that are either true or false

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CMP 131 Introduction to Computer Programming

CMP 131 Introduction to Computer Programming. Violetta Cavalli-Sforza Week 9. NEXT WEEK. Monday May 14 : Quiz Primarily on: Ch 2.5: Standard Functions Ch 4: Conditional Statements (except Section 4.6). THIS WEEK. Repeating statement execution and loops Thursday: Lab

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Chapter 2. Random Variables

Chapter 2. Random Variables. 2.1 Discrete Random Variables 2.2 Continuous Random Variables 2.3 The Expectation of a Random Variable 2.4 The Variance of a Random Variable 2.5 Jointly Distributed Random Variables 2.6 Combinations and Functions of Random Variables. -3. -2. -1. 1. 0. 2. 3.

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Introduction to Statistics

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Logical equivalence

Logical equivalence. Two propositions are said to be logically equivalent if their truth tables are identical. Example: ~p ? q is logically equivalent to p ? q. T. T. T. T. F. F. T. F. F. T. T. T. F. F. T. T. Converse (1).

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The Analysis of Categorical Data

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Uncertainty

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Uncertainty

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Math 507, Lecture 6, Fall 2003

Math 507, Lecture 6, Fall 2003. Discrete Random Variables and Expected Value. Random Variables. Definitions A random variable X is a function whose domain is the sample space of some experiment and whose range is a subset of the real numbers.

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Implementing Prolog

Implementing Prolog. Outline. Parts of Chapter 20, with implementation 20.2 Unification 20.4 Implementing Prolog From 20.5: Variable renaming. Substitutions. A substitution is a function that maps variables to terms: ? = { X ? a , Y ? f(a,b) }

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Standard Logical Equivalences

Standard Logical Equivalences. Resolution Procedure (aka Resolution Refutation Procedure). Resolution procedure is a complete inference procedure for FOL Resolution procedure uses a single rule of inference: the Resolution Rule (RR), which is a generalization of the same rule used in PL

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Chapter 4 Systems of Linear Equations; Matrices

Chapter 4 Systems of Linear Equations; Matrices. Section 3 Gauss-Jordan Elimination. Gauss-Jordan Elimination . Any linear system must have exactly one solution , no solution , or an infinite number of solutions .

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Lecture 3: Logic (2)

Lecture 3: Logic (2). Propositional Equivalences Predicates and Quantifiers. 3.1. Propositional Equivalences. Categories of compound propositions: A tautology is a proposition which is always true . Classic Example: P ?? P A contradiction is a proposition which is always false .

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Continuous probability distributions

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Predicate Logic

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Chapter 5

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Decidable Containment of Recursive Queries

Decidable Containment of Recursive Queries. Diego Calvanese, Giuseppe De Giacomo, Moshe Y. Vardi presented by Axel Polleres http://www.dis.uniroma1.it/pub/calvanes/calv-degi-vard-ICDT-2003.pdf. Query Containment.

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Measures of Central Tendency

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Rules for Differentiating Univariate Functions

Rules for Differentiating Univariate Functions. Given a univariate function that is both continuous and smooth throughout, it is possible to determine its derivative by applying one or more of the specific rules of differentiation outlined in the following.

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Cumulative Distribution Functions

Cumulative Distribution Functions. The cumulative distribution function of a random variable X , written, F , indicates the probability that is at and to the left of each point x . CDFs are defined for both discrete and continuous random variables. Properties of a CDF.

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