'Positive integers' diaporamas de présentation

Chapter 2: Sets, Functions, Sequences, and Sums

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Problem Spaces P/NP

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Properties of the Integers: Mathematical Induction

Properties of the Integers: Mathematical Induction. Chapter 4. 1. Mathematical Induction 2. Harmonic, Fibonacci, Lucas Numbers 3. Prime Numbers. Chapter 4 Properties of the Integers: Mathematical Induction . 4.1 The Well-Ordering Principle: Mathematical Induction.

1.14k views • 37 slides

Rating Scales: What the Research Says

Rating Scales: What the Research Says. Joe Dumas Tom Tullis UX Consultant Fidelity Investments joe.dumas99@gmail.com tom.tullis@fmr.com. The Scope of the Session. Discussion of literature about rating scales in usability methods, primarily usability testing

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Rating Scales: What the Research Says

Rating Scales: What the Research Says. Joe Dumas Tom Tullis UX Consultant Fidelity Investments joe.dumas99@gmail.com tom.tullis@fmr.com. The Scope of the Session. Discussion of literature about rating scales in usability methods, primarily usability testing

641 views • 34 slides

Chapter 2-1 Integers and Absolute Values

Chapter 2-1 Integers and Absolute Values. 0. -5. -4. -3. -2. -1. +1. +2. +3. +4. +5. Here is a number line. An integer is any number on a number line. 0. -5. -4. -3. -2. -1. +1. +2. +3. +4. +5.

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Mathematical Problems & Inquiry in Mathematics

Mathematical Problems & Inquiry in Mathematics. AME Tenth Anniversary Meeting May 29 2004 A/P Peter Pang Department of Mathematics and University Scholars Programme, NUS. Four Important Concepts. Specificity Generality Specialization Generalization. D. F. 3. 7.

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Knapsack Cipher

Knapsack Cipher. 0-1 knapsack problem. Given a positive integer C and a vector A=(a 1 ,...,a n ) of positive integers, find a subset of the elements of A that sum to C; that is, find a binary vector M=(m 1 ,...,m n ) such that C=AM, or . Example of 0-1 knapsack problem.

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PROGRAMMING IN HASKELL

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CSCI 1900 Discrete Structures

CSCI 1900 Discrete Structures. Sets and Subsets Reading: Kolman, Section 1.1. Definitions of sets. A set is any well-defined collection of objects The elements or members of a set are the objects contained in the set

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Algorithms, Part 1 of 3

Algorithms, Part 1 of 3. Topics Definition of an Algorithm Algorithm Examples Syntax versus Semantics. Problem Solving. Problem solving is the process of transforming the description of a problem into the solution of that problem. We use our knowledge of the problem domain (requirements).

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If I told you once, it must be...

If I told you once, it must be. Recursion. Recursive Definitions. Recursion is a principle closely related to mathematical induction. In a recursive definition , an object is defined in terms of itself. We can recursively define sequences , functions and sets .

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Circular Linked List

Circular Linked List. EENG212 Algorithms and Data Structures. Circular Linked Lists. In linear linked lists if a list is traversed (all the elements visited) an external pointer to the list must be preserved in order to be able to reference the list again.

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Proof Methods: Part 2

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Loops

Loops. Partial Correctness allows the code to be non-terminating . We will start by assuming that code terminates and postpone the termination topic until later. So we will deal with the situation where if the code terminates then its final state {Q} is satisfied. Some Definitions:

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Equivalence Relations

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GEOMETRIC SEQUENCES

GEOMETRIC SEQUENCES. These are sequences where the ratio of successive terms of a sequence is always the same number. This number is called the common ratio . 1, 2, 4, 8, 16 . . . r = 2.

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Roots of Real Numbers and Radical Expressions

Roots of Real Numbers and Radical Expressions. Definition of n th Root. For any real numbers a and b and any positive integers n , if an = b , then a is the n th root of b . ** For a square root the value of n is 2. radical. index. radicand. Notation.

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Integers!!!

Integers!!! INTEGERS!!!! Numbers can be both positive and negative. When working with negative numbers there are rules that must be followed. Think of some ways that you use negative numbers???? Visualisation Think of a greenhouse.

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Counting Permutations When Indistinguishable Objects May Exist

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