'Positive integers' presentation slideshows

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.

By sandra_john
(409 views)

Proof Methods: Part 2

Proof Methods: Part 2 Sections 3.1-3.6 More Number Theory Definitions Divisibility n is divisible by d iff kZ | n=d*k d|n is read “d divides n” where n and d are integers and d  0 (note: d|n  d/n) Other ways to say it: n is a multiple of d d is a factor of n d is a divisor of n

By issac
(319 views)

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.

By jana
(259 views)

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.

By Lucy
(255 views)

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).

By bibiane
(248 views)

Equivalence Relations

Equivalence Relations. Aaron Bloomfield CS 202 Epp, section ???. Introduction. Certain combinations of relation properties are very useful We won’t have a chance to see many applications in this course In this set we will study equivalence relations

By carol
(409 views)

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.

By piper
(706 views)

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.

By kaycee
(557 views)

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

By erno
(299 views)

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.

By alpha
(674 views)

Problem Spaces P/NP

Problem Spaces P/NP. P/NP. Chapter 7 of the book We’ll skip around a little bit and pull in some simpler, alternate “proofs” Intractable Problems Refer to problems we cannot solve in a reasonable time on the Turing Machine/Computer

By redell
(125 views)

Counting Permutations When Indistinguishable Objects May Exist

Counting Permutations When Indistinguishable Objects May Exist. How many rows , each one consisting of 3 A’s 1 B, and 4 C’s are there? (Here are some such rows: BACCCAAC ABCACACC CCCCAAAB Etc.) Answer: (3+1+4)! / (3!1!4!). In general:

By pembroke
(235 views)

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.

By raziya
(269 views)

PROGRAMMING IN HASKELL. Chapter 5 - List Comprehensions. Set Comprehensions. In mathematics, the comprehension notation can be used to construct new sets from old sets. {x 2 | x  {1...5}}. The set {1,4,9,16,25} of all numbers x 2 such that x is an element of the set {1…5}.

By flavio
(293 views)

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 .

By pink
(212 views)

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.

By etenia
(217 views)

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

By rendor
(253 views)

Chapter 2: Sets, Functions, Sequences, and Sums

Chapter 2: Sets, Functions, Sequences, and Sums. §2.1: Sets. § 2.1 – Sets. Introduction to Set Theory. A set is a new type of structure, representing an unordered collection (group, plurality) of zero or more distinct (different) objects.

By menora
(244 views)

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

By elia
(212 views)

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: