Exploring Mathematical Conjectures Through Counterexamples

Jul 08, 2025

10 likes | 110 Views

Dive into the world of mathematical conjectures, their properties, facts, and the intriguing use of counterexamples. This comprehensive guide provides examples, explanations, and proofs to deepen your understanding. Discover techniques and reasoning to verify or refute conjectures in this compelling exploration of mathematical relationships.

Share Presentation

Embed Code

conlan

Download Presentation

Exploring Mathematical Conjectures Through Counterexamples

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

• Definitions • Facts • Properties • Theorems • Examples • Counterexamples • Techniques • Instructions • Conjectures • Problems • Representation • Notations • Symbolisation • Explanations • Justifications • Proofs • Reasoning • Links • Relationships • Connections • Exemplifying •Specialising • Completing • Deleting • Correcting • Comparing • Sorting •Organising • Changing • Varying • Reversing • Altering • Generalising • Conjecturing • Explaining • Justifying • Verifying • Convincing • Refuting

negotiation (modern) powerpoint presentation content: 121 sl

Negotiation is the process of searching for an agreement that satisfies various parties. There are specific techniques that anyone can learn and understanding these techniques and developing your skills will be a critical component of your career success and personal success. Negotiation PowerPoint Presentation Content slides include topics such as: basic components of negotiation, questions to ask, identifying the issues, assembling the facts, negotiation success strategies, techniques, and tactics, pros and cons of various negotiation approaches, 22 characteristics of effective negotiation, mediation, arbitration, maximizing your appearance and mannerisms, how to's and more. Slides can easily be tailored to your specific needs (make handouts, create overheads and use them with an LCD projector) and are available for license. Each slide includes slide transitions, clipart and animation. Royalty Free - Use Them Over and Over Again. Once purchased, download instructions will be sent to you via email. (PC and MAC Compatible).

2.48k views • 23 slides

International Finance Corporation: Its Mission and Challenges

International Finance Corporation: Its Mission and Challenges. 1. World Bank Group. Presentation Outline. Our Mission Facts about IFC Challenges and Differentiation through “Financing – Plus” Examples of Sustainable Development Examples of Public-Private Partnership Personal Experience

1.05k views • 46 slides

Basic Facts

Basic Facts. Basic Facts. What are they? Why should students memorize basic facts?. Why Basic Facts Instruction?. Frees up working memory to master algorithms and math applications. Cognitive psychology research points to the value of automatic recall of facts.

970 views • 36 slides

LANGUAGE PLANNING

LANGUAGE PLANNING. Definitions, models, and examples. Definitions of LP. Language planning is generally defined as an intervention intended to influence language or language use.

3.2k views • 34 slides

Lecture 9: Fourier Transform Properties and Examples

Lecture 9: Fourier Transform Properties and Examples. 3. Basis functions (3 lectures): Concept of basis function. Fourier series representation of time functions. Fourier transform and its properties . Examples, transform of simple time functions . Specific objectives for today:

1.74k views • 14 slides

Fact-finding Techniques

Fact-finding Techniques. © Pearson Education Limited 1995, 2005. Fact-finding techniques. It is critical to capture the necessary facts to build the required database application. These facts are captured using fact-finding techniques.

2.09k views • 28 slides

TECHNIQUES OF INTEGRATION

7. TECHNIQUES OF INTEGRATION. TECHNIQUES OF INTEGRATION. In defining a definite integral , we dealt with a function f defined on a finite interval [ a , b ] and we assumed that f does not have an infinite discontinuity (Section 5.2). TECHNIQUES OF INTEGRATION.

1.09k views • 80 slides

Techniques - Modulation of drug release from dosage form

Techniques - Modulation of drug release from dosage form . List of contents. Introduction Mechanisms of controlled release Intelligent controlled release DDS Examples Recent advances References. Introduction:. Fluctuating plasma level in conventional DF. Development of CR ,SR, TR Etc.

1.65k views • 68 slides

Geometry: Unit 4 Congruent Triangles

Geometry: Unit 4 Congruent Triangles. VOLK SPRING 2014. Unit 4 Preview in Numbers. Instructional Days: 8 Review Days: 1 Test Days: 1 Total Homework Problems: About 120 New Theorems: 8 New Postulates: 5 New Definitions: 12. Unit 4 Preview of Topics. Identify/Classify Triangles

1.46k views • 85 slides

In the name of god

In the name of god. size exclusion (gel filtration, gel permeation ) chromatography. Introduction. Biomolecules are purified using chromatography techniques that separate them according to differences in their specific properties. Property Technique:

1.21k views • 86 slides

Molecular Techniques

Molecular Techniques. Reminder: All molecular techniques are based on the chemical “personality” (or chemical properties) of the DNA molecule (or nucleic acids). Studies of cell Fractionation Purification/ Identification Structure/ Function. Proteins. Carbohydrates. Lipids.

1.86k views • 89 slides

Influence Techniques

Influence Techniques. Dr Peter R Mansfield GP Dept GP, Adelaide Uni Director, Healthy Skepticism Inc peter@healthyskepticism.org. 11 May 2006. Influence techniques. Warnings Thank you Decision Making Shortcuts Are you influenced? Sales techniques. Warnings.

1.37k views • 111 slides

EC 2314 Digital Signal Processing

EC 2314 Digital Signal Processing. By Dr. K. Udhayakumar. The z-Transform. Dr. K. Udhayakumar. Content. Introduction z -Transform Zeros and Poles Region of Convergence Important z -Transform Pairs Inverse z -Transform z -Transform Theorems and Properties System Function.

1.46k views • 98 slides

Property Appraisal

Property Appraisal. Introduction. Introduction. Definitions Appraisal Investment and investors Appraisal techniques Summary. Definitions. Market Value (value in exchange) Estimate of exchange price Relies on interpretation of market information Objective Worth (value in use)

1.4k views • 112 slides

Summary of Theorems

Summary of Theorems. Postulate 1 (Line Postulate) Through two given points, one and only one can be drawn through them. A. B. Postulate 2 (Unique Intersection Postulate) Two distinct lines can have one and only one point in common. The common point is called the point of intersection. r.

1.05k views • 75 slides

Chapter 11: Properties of Gases

Chapter 11: Properties of Gases. Chemistry: The Molecular Nature of Matter, 6E Jespersen/Brady/Hyslop. Properties of Common Gases. Despite wide differences in chemical properties, all gases more or less obey the same set of physical properties . Four Physical Properties of Gases

2.81k views • 128 slides

Chapter 1:Foundations for Functions

Chapter 1:Foundations for Functions. Algebra II. Table of Contents. 1.1 – Sets of Numbers 1.2 – Properties of Real Numbers 1.3 – Square Roots 1.4 - Simplifying Algebraic Expressions 1.5 - Properties of Exponents. 1.1. Bell work (Algebra II). Write down the following definitions

1.11k views • 75 slides

Software Testing

Software Testing. CEN 5035 Software Engineering. Prepared by Stephen M. Thebaut, Ph.D. University of Florida. Topics. Basic concepts Black Box Testing Techniques White Box Testing Techniques Integration and Higher-Level Testing. Definitions of “TESTING”.

1.7k views • 120 slides

Enzymes

Enzymes. Dr. s.chakravarty MD. Learning objectives. Define and classify enzymes based on the IUPAC agreement. Give examples to each class Classify cofactors and give examples for various types Discuss the general properties of enzymes and list the important functions

1.59k views • 76 slides

25 Most Mind Blowing and Amazing Facts about India

25 most amazing and interesting facts about India and Indians. List of surprising, amazing, interesting Indian facts which will surprise you. To Know more about the amazing facts, visit our Face book Page: https://www.facebook.com/mediandesigns mediandesigns@gmail.com 011-65789974, 91 - 9811090090

6k views • 27 slides

FizzBuzz Trek

Keynote presented at Reaktor Breakpoint (25th September 2015) Video available at https://vimeo.com/144335290 FizzBuzz. It's a drinking game. It's an educational game to teach kids division. It's an interview question. It's a coding kata. It's all these things. And it can be fun. It can also be used to illustrate different coding paradigms, languages and techniques, from the serious to the jocoserious to the you-cannot-be-serious. This talk uses this simple problem to take you on a bazaar and bizarre trek, from plain examples to provocative examples in common and less common languages, sequential to concurrent, procedural to functional, elegant to ridiculous.

2.8k views • 102 slides

More Related