'Counter example' diaporamas de présentation

Normal forms for Context-Free Grammars

Normal forms for Context-Free Grammars. Context-Free Grammar. In linguistics and computer science, a context-free grammar (CFG) is a formal grammar in which every production rule is of the form V ? w

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Balancing location of points on a boundary of region

Balancing location of points on a boundary of region. Takeshi Tokuyama Tohoku University Joint work with many collaborators. Prologue: balancing in real life. C enter of mass and barycenter. Given a set of weighted points q( i ) with weight w( i ) i =1,2,..,k such that

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Proof Techniques

Proof Techniques. 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 Direct proof : Assume p is true, and prove q.

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Bellwork

Clickers. Bellwork. Classify the following angles based on their measure 102 o 37 o Find the complement and supplement of ? XYZ if m ? XYZ=80 If XY=YZ , is Y the midpoint of XZ? If not, give a counter example. Bellwork Solution. Classify the following angles based on their measure

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2.1 Conditional Statements

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Optimizing Chinese Word Segmentation for MT performance

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Critical Thinking: An Introduction

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Specker Challenge Game (SCG): A Novel Tool for Computer Science

Specker Challenge Game (SCG): A Novel Tool for Computer Science. Karl Lieberherr. SCG: a scientific market game. Domain X (Problem Solving domain such as an NPO domain) Agents with a reputation: offer-accept-deliver-solve Agents offer challenges with a confidence Agents accept challenges

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2. Kinds of Numbers

natural numbers. whole numbers. integers. 0. 0. 0. 2. Kinds of Numbers. 2. Kinds of Numbers. 3. 4. 5. 6. 7. 8. rational numbers. 2. Kinds of Numbers. 3. 4. 5. 6. 7. 8. irrational numbers. List: Rational, irrational, natural, whole, integer. #1. What kind of number is -5?.

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The Chomsky Hierarchy(review)

The Chomsky Hierarchy(review). Languages. Machines. Other Models. Recursively Enumerable Sets. Post System Markov Algorithms, ?-recursive Functions. Turing Machines. Linear-bounded Automata. . . . . . Context-sensitive Languages. Context-free Languages. Pushdown Automata.

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Chapter 2

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Inductive and Deductive Reasoning

Inductive and Deductive Reasoning. Definition: Conjecture: an unproven statement that is based on observations. You use inductive reasoning when you find a pattern in specific cases and then write a conjecture for the general case. Write a conjecture.

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Facts about Square Roots

Facts about Square Roots. Facts about square roots. Simplify a Square Root. Steps: Make a factor tree Look for pairs Circle on member of the pair Cross out the other member of the pair What is left over put in the box. Example:. Example:. Example:. How do you know if you are right?.

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Derivatives of Inverse Functions

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Absolute Value

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The Prison Epistles

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Geometry Journal 2

Geometry Journal 2. Sebastian Busto 9-3. Conditional Statement. A conditional statement is a statement that establish a necessary condition for a thing that has happen. . Examples. If the balloon is inflated then it would fly away.

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Objective- To solve problems involving absolute value of numbers or variables.

Objective- To solve problems involving absolute value of numbers or variables. Absolute value- A numbers distance from zero on the number line. -5 -4 -3 -2 -1 0 1 2 3 4 5 . 0. 3. 12. 5.4. 5. -7. -16. 10. -23. Opposites vs. Absolute Value. Given Number.

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