'Direct proof' presentation slideshows

Discrete Mathematics Lecture 2.

1.31k views • 100 slides

577 views • 40 slides

499 views • 40 slides

Discrete Structures CS 2800

Discrete Structures CS 2800. Prof. Bart Selman selman@cs.cornell.edu Module Logic (part 2 --- proof methods) . Methods for Proving Theorems . Theorems, proofs, and Rules of Inference. When is a mathematical argument correct?

687 views • 39 slides

Integers and Division

Integers and Division. CS/APMA 202 Rosen section 2.4 Aaron Bloomfield. Rosen, chapter 2. We are only doing 2 or 3 of the sections in chapter 2 2.4: integers and division 2.6: applications of number theory And only parts of that section 2.7: matrices (maybe). Quick survey.

934 views • 38 slides

CSCI 2110 Discrete Mathematics Tutorial 10

556 views • 38 slides

chapter 2 Mathematical preliminaries

chapter 2 Mathematical preliminaries. 2.1 Set, Relation and Functions 2.2 Proof Methods 2.3 Logarithms 2.4 Floor and Ceiling Functions 2.5 Factorial and Binomial Coefficients 2.6 The Pigeonhole Principle 2.7 Summations 2.8 Recurrence Relations. Concept of Set. 2.1.

603 views • 36 slides

With examples from Number Theory

Methods of Proof. With examples from Number Theory (Rosen 1.5, 3.1, sections on methods of proving theorems and fallacies). Basic Definitions. Theorem - A statement that can be shown to be true. Proof - A series of statements that form a valid argument.

654 views • 34 slides

CSE 311 Foundations of Computing I

CSE 311 Foundations of Computing I. Lecture 9 Proofs and Set Theory Autumn 2012. Announcements. Reading assignments Today: Inference, Sets and Functions 2.1-2.3 6 th and 7 th Editions 1.6-1.8 5 th Edition Monday:

385 views • 26 slides

Discrete Mathematics

Discrete Mathematics. Mathematical Reasoning Methods of Proof. University of Jazeera College of Information Technology & Design Khulood Ghazal. Nature & Importance of Proofs. In mathematics, a proof is: A sequence of statements that form an argument.

521 views • 21 slides

Diversity of World Religious Expression Western Judaism, Christianity, and Islam

Diversity of World Religious Expression Western Judaism, Christianity, and Islam Eastern (Indian) Hinduism, Buddhism, and Jainism. Pravin K. Shah JAINA Education Committee Federation of Jain Associations in North America 509 Carriage Woods Circle, Raleigh NC 27607-3969

488 views • 20 slides

Atoms are not the smallest thing

Atoms are not the smallest thing. Growing evidence for the divisibility of the indivisible. Atoms are not the smallest thing. Growing evidence for the divisibility of the indivisible. Learning Objectives. Describe the three particles in the atom Define atomic number and mass number

313 views • 20 slides

Tutorial 2: First O rder Logic and Methods of Proofs

Tutorial 2: First O rder Logic and Methods of Proofs. Peter Poon. Agenda. First Order Logic Order of quantifier Formulation Negation Methods of Proofs Direct Proof Contrapositive Contradiction. First Order Logic. Order of quantifier. Which one are equivalent?. Order of quantifier.

308 views • 20 slides

Announcements

Announcements. Midterm tomorrow 3-4pm. Now you can debunk these ? (a sample from the web). Humans are mammals. Dogs are mammals. Humans are dogs. Then how am I typing this?. people make mistakes mistakes are wrong alex is a person alex is wrong.

241 views • 19 slides

Introduction to GEOMETRY

500 views • 18 slides

CSE 321 Discrete Structures

CSE 321 Discrete Structures. Winter 2008 Lecture 6 Proofs. Announcements. Reading for this week Today: 1.6, 1.7 Homework 2 Due Wednesday, January 23 Martin Luther King Jr. Day, Mon., Jan 21 ? x (UniversityHoliday(x) ? NoClass(x)) UniversityHoliday(Monday).

258 views • 15 slides

The Foundations: Logic and Proofs

The Foundations: Logic and Proofs. Introduction to Proofs. 1. Some terminology. Theorem : is a statement that can be shown to be true. Axioms (postulates): Statements that used in a proof and are assumed to be true. Proof Methods Proving p ? q

458 views • 15 slides

Indirect Argument: Contradiction and Contraposition

Indirect Argument: Contradiction and Contraposition. Lecture 17 Section 3.6 Mon, Feb 19, 2007. Form of Proof by Contraposition. Theorem: p ? q . This is logically equivalent to ? q ? ? p . Outline of the proof of the theorem: Assume ? q . Prove ? p . Conclude that p ? q .

546 views • 14 slides

Chapter 5.1 Write Indirect Proofs

238 views • 7 slides

PHY205 Ch15: // Axis Theorem and Torque

PHY205 Ch15: // Axis Theorem and Torque. Recall main points: Expression of the Kinetic energy of a rigid body in terms of Kcm and Icm Parallel Axis Theorem Torque and Cross Product Angular acceleration from the torque. Slide # 1. PHY205 Ch15: // Axis Theorem and Torque.

207 views • 6 slides