'Universal set' diaporamas de présentation

Discrete Mathematics CSE 2353 Fall 2007

Discrete Mathematics CSE 2353 Fall 2007. Margaret H. Dunham Department of Computer Science and Engineering Southern Methodist University Some slides provided by Dr. Eric Gossett; Bethel University; St. Paul, Minnesota

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COMPLETE BUSINESS STATISTICS

COMPLETE BUSINESS STATISTICS. by AMIR D. ACZEL & JAYAVEL SOUNDERPANDIAN 6 th edition. Chapter 2. Probability. Probability. 2. Using Statistics Basic Definitions: Events, Sample Space, and Probabilities Basic Rules for Probability Conditional Probability Independence of Events

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Fuzzy Set and Opertion

Fuzzy Set and Opertion. Outline. Fuzzy Set and Crisp Set Expanding concepts Standard operation of fuzzy set Fuzzy relations Operations on fuzzy relations. Set. Membership Function Universal Set user specify (crisp set). Crisp set and Fuzzy set. Crisp set membership function

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Section 1.5

Section 1.5. Venn Diagrams and Set Operations. Objectives. Understand the meaning of a universal set and the basic ideas of a Venn diagram. Use Venn diagrams to visualize relationships between two sets. Find the complement of a set. Find the intersection and union of two sets.

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Introduction

Introduction

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Good Bye to Discrete Mathematics!!

Good Bye to Discrete Mathematics!!. CS340: Discrete Mathematics. Sets. Venn Diagrams Abstract visualization of a Universal set, U as a rectangle, with all subsets of U shown as circles. Shaded portion represents the corresponding set. , . Sets. Mathematical Logic. Example:

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Lecture 13 Elements of Probability

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2.1 Sets Sets Common Universal Sets Subsets 2.2 Set Operations 2.3 Functions

2.1 Sets Sets Common Universal Sets Subsets 2.2 Set Operations 2.3 Functions 2.4 Sequences and Summations. A set is a collection or group of objects or elements or members . (Cantor 1895) A set is said to contain its elements.

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Optimality Theory

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Week 7 Lectures

Week 7 Lectures. Set Abstract Data Type. Aims. Describe the Set Abstract Data Type Illustrate different implementations of the Set ADT Describe the Java Iterator concept. Learning Outcomes. specify the Set ADT write a Java program using one of the java.util set classes use an iterator

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Sets Day 2

Warning : All the Venn Diagram construction and pictures will be done during class and are not included in this presentation. If you missed class you should get class notes from another student. Sets Day 2. Venn Diagrams.

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5.1 Sets

5.1 Sets. Sets and Elements Union and Intersection Subset and Empty Set Universal Set and Complement. Sets and Elements.

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3-5 Working With Sets

3-5 Working With Sets. Objective: To write sets and identify subsets. To find the complement of a set. 3-5 Working With Sets. Set: is a collection of distinct elements Subset contains elements from a set.

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3.5 SETS

3.5 SETS. Roster Form: use the { } to list the elements of the set ex: { 1, 2, 3, 4, 5, 6, 7, 8, 9}. Set Builder Notation: use the { } to describe the properties of the elements of the set ex: { x | 1 < x < 9 }.

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Combinations and the Binomial Theorem

Combinations and the Binomial Theorem. Yuvraj , Sonia, Tejpaul , Samer & Tianna. 5.1 Organized Counting With Venn Diagrams. Venn Diagrams can help you visualize the relationships between sets of items, especially when the sets have some items in common. Key Terms Set: A group of items

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Set Theory

Set Theory. Using Mathematics to Classify Objects. 2.1 The Language of Sets Objectives:. Define sets Specify sets using both listing (roster method) and set-builder notation Understand when sets are well-defined Use the element symbol property Find the cardinal number of sets.

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The Scientific Method

The Scientific Method. There is not a single universal set of steps used to solve every problem. The Sci. Method is a general approach to problem solving. Observation. Use of senses to obtain information Can involve making measurements and collecting data Data (information) can be

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1106 Group Project #4

1106 Group Project #4. Due Thurs 2/3, 2-3 min PPT, HC to me One presentation per group.

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