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THE RULE OF PRODUCTS The Rule of Products Written by Rachel Singh, last updated Nov 26,2018
NUMBER THEORY: REPRESENTATIONS OF INTEGERS Discrete Structures I: Number Theory: Representations of Integers Textbooks: Ensley & Crawley: Chapter 2.6 Johnsonbaugh: Chapter 5.2 Instructions: In-class exercises are FUNCTIONS AND RELATIONS: RELATIONS AND RELA- TION PROPERTIES Discrete Structures I: Functions and Relations: Relations and Relation Properties Textbooks: Ensley & Crawley: Chapter 4.1, 4.4, 4.5 Johnsonbaugh: Chapter 3.3 PIPI SUWI - TOKI PONA COMPOUND WORD TREE That's funny. a soweli - yelp (animal sound) (matthew, 2007-09-16) akesi n non-cute animal, reptile, amphibian. akesi kiwen tomo - turtle (elumutu, 2007-04-25) akesi li pana e telo moli - The snake emitted venom ('deadly fluid') akesi lili - small reptile/amphibian/frog. akesi linja - snake, serpent. akesi pi tomo kiwen - turtle, tortoise TEXTBOOKS: ENSLEY & CRAWLEY: CHAPTER 4.5 JOHNSONBAUGH Discrete Structures I: Functions and Relations: Equivalence Relations KEY Textbooks: Ensley & Crawley: Chapter 4.5 Johnsonbaugh: Chapter 3.4Answer Key Functions and Relations: Equivalence Rela- EDU.MOOSADER.COMTRANSLATE THIS PAGE PK Q [L^Æ2 '' mimetypeapplication/vnd.oasis.opendocument.textPK Q [L&0³$6 6 Thumbnails/thumbnail.png‰PNG IHDRÆ ßƒùr PLTE !" EDU.MOOSADER.COMTRANSLATE THIS PAGE PK 4¾‚L^Æ2 '' mimetypeapplication/vnd.oasis.opendocument.textPK 4¾‚Lr„à> Thumbnails/thumbnail.png‰PNG IHDRÆ ßƒùrýPLTE#/.; "#::;4?H
EDU.MOOSADER.COMTRANSLATE THIS PAGE PK *M#L^Æ2 '' mimetypeapplication/vnd.oasis.opendocument.textPK *M#L2àçÈ Thumbnails/thumbnail.png‰PNG IHDRÆ ßƒùr ýPLTE jR>[\\[Z`\bipg^ffhiktzsmzyw Ï Ð Ñ CS 134 - QUICK REFERENCE - RACHEL'S COURSE CS 134 Homepage . JCCC: CS 134 (Programming Fundamentals) Instructor Rachel Singh, (913) 999-8271 JCCC: rmorri38@jccc.edu PUBLICDOMAIN.MOOSADER.COM Prismages. About this project. Prismages is a project to create a public domain set of magical people (inspired by magical girl manga/anime I loved growing up), with the intention of creating games and other media around them, but also providing a jumping off point for others to remix, add on to, or play around with the characters andconcepts.
THE RULE OF PRODUCTS The Rule of Products Written by Rachel Singh, last updated Nov 26,2018
NUMBER THEORY: REPRESENTATIONS OF INTEGERS Discrete Structures I: Number Theory: Representations of Integers Textbooks: Ensley & Crawley: Chapter 2.6 Johnsonbaugh: Chapter 5.2 Instructions: In-class exercises are FUNCTIONS AND RELATIONS: RELATIONS AND RELA- TION PROPERTIES Discrete Structures I: Functions and Relations: Relations and Relation Properties Textbooks: Ensley & Crawley: Chapter 4.1, 4.4, 4.5 Johnsonbaugh: Chapter 3.3 PIPI SUWI - TOKI PONA COMPOUND WORD TREE That's funny. a soweli - yelp (animal sound) (matthew, 2007-09-16) akesi n non-cute animal, reptile, amphibian. akesi kiwen tomo - turtle (elumutu, 2007-04-25) akesi li pana e telo moli - The snake emitted venom ('deadly fluid') akesi lili - small reptile/amphibian/frog. akesi linja - snake, serpent. akesi pi tomo kiwen - turtle, tortoise TEXTBOOKS: ENSLEY & CRAWLEY: CHAPTER 4.5 JOHNSONBAUGH Discrete Structures I: Functions and Relations: Equivalence Relations KEY Textbooks: Ensley & Crawley: Chapter 4.5 Johnsonbaugh: Chapter 3.4Answer Key Functions and Relations: Equivalence Rela- EDU.MOOSADER.COMTRANSLATE THIS PAGE PK Q [L^Æ2 '' mimetypeapplication/vnd.oasis.opendocument.textPK Q [L&0³$6 6 Thumbnails/thumbnail.png‰PNG IHDRÆ ßƒùr PLTE !" EDU.MOOSADER.COMTRANSLATE THIS PAGE PK 4¾‚L^Æ2 '' mimetypeapplication/vnd.oasis.opendocument.textPK 4¾‚Lr„à> Thumbnails/thumbnail.png‰PNG IHDRÆ ßƒùrýPLTE#/.; "#::;4?H
EDU.MOOSADER.COMTRANSLATE THIS PAGE PK *M#L^Æ2 '' mimetypeapplication/vnd.oasis.opendocument.textPK *M#L2àçÈ Thumbnails/thumbnail.png‰PNG IHDRÆ ßƒùr ýPLTE jR>[\\[Z`\bipg^ffhiktzsmzyw Ï Ð Ñ INTRODUCTION TO PROBABILITY 1. Terminology Let’s say we’re flipping a coin three times. The total ways we can flip a coin three times without restriction is 8. The sample set – or, writing out all ways this can CS 200 - RACHEL'S COURSE - MOOSADEE.COM About static members. We can use the keyword static with a member variable of a class in order to create a variable that is shared by all instantiations of that class. So, let's say we have a class like Student, and we can make many Students.Each Student will have names, grades, classes, etc. But, we can also embed a static variable in the Student class, which will be shared by all students CS 200 - RACHEL'S COURSE - MOOSADEE.COM strcmp - compare two c-strings. Documentation. Create two character arrays of the same size. Assign the same value to both of them. Use strcmp function and display the result.. char a = { 'a', 'b', 'c', 'd' }; char b = { 'a', 'b', 'c', 'd' }; cout 2k + 8 = 2(k + 4) 2.If n is even, then the product of n and its successor is even. ISOMORPHISM AND PLANARITY 1. Isomorphism (6/32) Notes an isomorphism of graphs G and H is a bijection between the vertex sets of G and H f : V(G) V(H)→ such that any two vertices u and v of G PIPI SUWI - TOKI PONA COMPOUND WORD TREE That's funny. a soweli - yelp (animal sound) (matthew, 2007-09-16) akesi n non-cute animal, reptile, amphibian. akesi kiwen tomo - turtle (elumutu, 2007-04-25) akesi li pana e telo moli - The snake emitted venom ('deadly fluid') akesi lili - small reptile/amphibian/frog. akesi linja - snake, serpent. akesi pi tomo kiwen - turtle, tortoiseSTACKS AND QUEUES
1. Arrays & Lists vs. Stacks & Queues What is the point of the restricted-access data Notes types, Stacks and Queues, and why would we use them instead of just using a normal array or ISOMORPHISM AND PLANARITY 1. Isomorphism (6/32) Notes an isomorphism of graphs G and H is a bijection between the vertex sets of G and H f : V(G) V(H)→ such that any two vertices u and v of G CS 200 - RACHEL'S COURSE - MOOSADER About static members. We can use the keyword static with a member variable of a class in order to create a variable that is shared by all instantiations of that class. So, let's say we have a class like Student, and we can make many Students.Each Student will have names, grades, classes, etc. But, we can also embed a static variable in the Student class, which will be shared by all students7.6 GRAPH THEORY
Discrete Structures II: Graph Theory: Introduction Textbooks: Ensley & Crawley: Chapter 7.1 Connected, subgraphs A graph is connected if there is a walk between any pair of distinctDICTIONARIES
Dictionaries are also known as associative arrays, maps, or hash tables. Dictionaries are a way we can store information in an array and use a mathematical function (a hash function) to find the index for any given data in the array. CS 134 - LAB 1: CONVERTING TO/FROM BINARY Topics: Data representation, binary, and decimal numbers. Group work: Group work is allowed for the labs, but each person must do their own coding and each person must turn in an assignment. Copying other peoples' code / code files is not allowed. Copied assignments will receive 0% for everybody involved. Turn in (non-programming): For paper assignments, turn in the typed out document, or a CS 200 - RACHEL'S COURSE Looking at the direction parameter, set the appropriate member variable (m_ptrNorth, m_ptrSouth, m_ptrEast, m_ptrWest) to the ptrLocation.. So for example, if direction == north, only then will you set m_ptrNorth = ptrLocation.. m_ptrNorth, m_ptrSouth, m_ptrEast, and m_ptrWest are all neighbors of the current location you're working with. This function allows you to set the addresses these PROOFS: MATHEMATICAL INDUCTION Discrete Structures I: Proofs: Mathematical Induction Textbooks: Ensley & Crawley: Chapter 2.3 Johnsonbaugh: Chapter 2.4 Instructions: In-class exercises are 7.6 GRAPH THEORY: HAMILTONIAN CYCLES & THE TSP Discrete Structures II: Graph Theory: Hamiltonian Cycles & the TSP Textbooks: Ensley & Crawley: Chapter 7.7 7.6.2 Travelling Salesperson The \TSP" is another type of problem that asks the following: a \Given a list of cities and the distances between each pair of cities, PIPI SUWI - TOKI PONA COMPOUND WORD TREE That's funny. a soweli - yelp (animal sound) (matthew, 2007-09-16) akesi n non-cute animal, reptile, amphibian. akesi kiwen tomo - turtle (elumutu, 2007-04-25) akesi li pana e telo moli - The snake emitted venom ('deadly fluid') akesi lili - small reptile/amphibian/frog. akesi linja - snake, serpent. akesi pi tomo kiwen - turtle, tortoise BALANCED SEARCH TREES 1. What is a balanced search tree? With a Balanced Search Tree (also known as a Self-balancing Binary Search Tree) are structures that deal with inserts and removals a bit more LAB 8: ALGORITHM EFFICIENCY Topics: Algorithm Efficiency, Searching Group work: Group work is allowed for the labs, but each person must do their own coding and each person must turn in an assignment. Copying other peoples' code / code files is not allowed. Copied assignments will receive 0% for everybody involved. Assignments must build: Assignments that don't build will automatically just be given a flat 50% score. SOLVING RECURRENCE RELATIONS 1. Guessing Formulas Maybe you would investigate the numbers and see if there was a linear difference between each one 2 5 8 11 14 +3 +3 +3+3
ANSWER KEY COMBINATORICS: INTRO AND STRUCTURES Discrete Structures II: Combinatorics: Intro and Structures KEY Textbooks: Ensley & Crawley: Chapter 5.1, 5.2, 5.3, 5.4 Johnsonbaugh: Chapter 6.1, 6.2, 6.3 NUMBER THEORY: REPRESENTATIONS OF INTEGERS Discrete Structures I: Number Theory: Representations of Integers Textbooks: Ensley & Crawley: Chapter 2.6 Johnsonbaugh: Chapter 5.2 Instructions: In-class exercises areCOMBINATIONS
1. Combinations A combination is written as C(n, r).For Combination problems, you need two pieces of information: n, the amount of items we have to select from r, the amount of items that we’re selecting. The formula for C(n, r) is: (5/30) PUBLICDOMAIN.MOOSADER.COM Prismages. About this project. Prismages is a project to create a public domain set of magical people (inspired by magical girl manga/anime I loved growing up), with the intention of creating games and other media around them, but also providing a jumping off point for others to remix, add on to, or play around with the characters andconcepts.
PIPI SUWI - TOKI PONA COMPOUND WORD TREE That's funny. a soweli - yelp (animal sound) (matthew, 2007-09-16) akesi n non-cute animal, reptile, amphibian. akesi kiwen tomo - turtle (elumutu, 2007-04-25) akesi li pana e telo moli - The snake emitted venom ('deadly fluid') akesi lili - small reptile/amphibian/frog. akesi linja - snake, serpent. akesi pi tomo kiwen - turtle, tortoisePROOFS: EXAM REVIEW
Discrete Structures I: Proofs: Exam Review KEY Textbooks: Answer key 1.If n is even, then n+ 8 is even. n = 2k, n+ 8 => 2k + 8 = 2(k + 4) 2.If n is even, then the product of n and its successor is even. PREDICATES AND QUANTIFIERS 1. Predicates Notes Predicates are similar to propositions, except that predicates take an input, and the result will be a proposition that is either true or false based on that input. If we make astatement like,
CS 134 - QUICK REFERENCE - RACHEL'S COURSE CS 134 Homepage . JCCC: CS 134 (Programming Fundamentals) Instructor Rachel Singh, (913) 999-8271 JCCC: rmorri38@jccc.edu LAB 8: ALGORITHM EFFICIENCY Topics: Algorithm Efficiency, Searching Group work: Group work is allowed for the labs, but each person must do their own coding and each person must turn in an assignment. Copying other peoples' code / code files is not allowed. Copied assignments will receive 0% for everybody involved. Assignments must build: Assignments that don't build will automatically just be given a flat 50% score. SOLVING RECURRENCE RELATIONS 1. Guessing Formulas Maybe you would investigate the numbers and see if there was a linear difference between each one 2 5 8 11 14 +3 +3 +3+3
ANSWER KEY COMBINATORICS: INTRO AND STRUCTURES Discrete Structures II: Combinatorics: Intro and Structures KEY Textbooks: Ensley & Crawley: Chapter 5.1, 5.2, 5.3, 5.4 Johnsonbaugh: Chapter 6.1, 6.2, 6.3 NUMBER THEORY: REPRESENTATIONS OF INTEGERS Discrete Structures I: Number Theory: Representations of Integers Textbooks: Ensley & Crawley: Chapter 2.6 Johnsonbaugh: Chapter 5.2 Instructions: In-class exercises areCOMBINATIONS
1. Combinations A combination is written as C(n, r).For Combination problems, you need two pieces of information: n, the amount of items we have to select from r, the amount of items that we’re selecting. The formula for C(n, r) is: (5/30) PUBLICDOMAIN.MOOSADER.COM Prismages. About this project. Prismages is a project to create a public domain set of magical people (inspired by magical girl manga/anime I loved growing up), with the intention of creating games and other media around them, but also providing a jumping off point for others to remix, add on to, or play around with the characters andconcepts.
PIPI SUWI - TOKI PONA COMPOUND WORD TREE That's funny. a soweli - yelp (animal sound) (matthew, 2007-09-16) akesi n non-cute animal, reptile, amphibian. akesi kiwen tomo - turtle (elumutu, 2007-04-25) akesi li pana e telo moli - The snake emitted venom ('deadly fluid') akesi lili - small reptile/amphibian/frog. akesi linja - snake, serpent. akesi pi tomo kiwen - turtle, tortoisePROOFS: EXAM REVIEW
Discrete Structures I: Proofs: Exam Review KEY Textbooks: Answer key 1.If n is even, then n+ 8 is even. n = 2k, n+ 8 => 2k + 8 = 2(k + 4) 2.If n is even, then the product of n and its successor is even. PREDICATES AND QUANTIFIERS 1. Predicates Notes Predicates are similar to propositions, except that predicates take an input, and the result will be a proposition that is either true or false based on that input. If we make astatement like,
CS 134 - QUICK REFERENCE - RACHEL'S COURSE CS 134 Homepage . JCCC: CS 134 (Programming Fundamentals) Instructor Rachel Singh, (913) 999-8271 JCCC: rmorri38@jccc.eduTHE RULE OF SUMS
The Rule of Sums Written by Rachel Singh, last updated Nov 15, 2018 CS 200 - RACHEL'S COURSE - MOOSADER About static members. We can use the keyword static with a member variable of a class in order to create a variable that is shared by all instantiations of that class. So, let's say we have a class like Student, and we can make many Students.Each Student will have names, grades, classes, etc. But, we can also embed a static variable in the Student class, which will be shared by all students CS 200 - RACHEL'S COURSE - MOOSADER Questions . Fill these out while doing the lab, or afterward, and turn in as part of your assignment. What is the address-of operator? What is the size of a single bool variable, in bytes?; What is the size of an array of 4 bool variables, in bytes?; What is the dereferenceoperator?
CS 134 - LAB 1: CONVERTING TO/FROM BINARY Topics: Data representation, binary, and decimal numbers. Group work: Group work is allowed for the labs, but each person must do their own coding and each person must turn in an assignment. Copying other peoples' code / code files is not allowed. Copied assignments will receive 0% for everybody involved. Turn in (non-programming): For paper assignments, turn in the typed out document, or a 7.6 GRAPH THEORY: GRAPHS IN PUZZLES AND GAMES Discrete Structures II: Graph Theory: Graphs in Puzzles and Games Textbooks: Ensley & Crawley: Chapter 7.5 Question 1 Build out a graph from the state where the Wolf, Goat, Traveller, and ISOMORPHISM AND PLANARITY 1. Isomorphism (6/32) Notes an isomorphism of graphs G and H is a bijection between the vertex sets of G and H f : V(G) V(H)→ such that any two vertices u and v of G7.6 GRAPH THEORY
Discrete Structures II: Graph Theory: Introduction Textbooks: Ensley & Crawley: Chapter 7.1 Connected, subgraphs A graph is connected if there is a walk between any pair of distinct CS 200 - RACHEL'S COURSE Looking at the direction parameter, set the appropriate member variable (m_ptrNorth, m_ptrSouth, m_ptrEast, m_ptrWest) to the ptrLocation.. So for example, if direction == north, only then will you set m_ptrNorth = ptrLocation.. m_ptrNorth, m_ptrSouth, m_ptrEast, and m_ptrWest are all neighbors of the current location you're working with. This function allows you to set the addresses these CS 200 - RACHEL'S COURSE - EDU2.MOOSADER.COM What is a variable? A variable is a named "container" where you can store data in your program for use later. Examples might be a user's age, the user name, an account balance, an address, etc. 7.6 GRAPH THEORY: HAMILTONIAN CYCLES & THE TSP Discrete Structures II: Graph Theory: Hamiltonian Cycles & the TSP Textbooks: Ensley & Crawley: Chapter 7.7 7.6.2 Travelling Salesperson The \TSP" is another type of problem that asks the following: a \Given a list of cities and the distances between each pair of cities,Games & Apps
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