CSCE 222 CSCE222 Final exam – Texas A&M
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CSCE 222 CSCE222 Final exam – Texas A&M
a∧b
True if both are true
a∨b
True if at least one is true
a⊕b
True if only one is true
a → b
False if a is true and b is false
a ↔ b
True if a and b are both false or true
Tautology
Only if a truth table always evaluates to true
a ≡ b
Only logically equivalent if a and b are tautologies
Conditional“p →
Description
CSCE 222 CSCE222 Final exam – Texas A&M
a∧b
True if both are true
a∨b
True if at least one is true
a⊕b
True if only one is true
a → b
False if a is true and b is false
a ↔ b
True if a and b are both false or true
Tautology
Only if a truth table always evaluates to true
a ≡ b
Only logically equivalent if a and b are tautologies
Conditional“p → q” “if p then q”
p is premise or hypothesis
q is conclusion or consequence
¬∀xP(x)≡
∃x¬P(x)
¬∃xP(x)
≡∀x¬P(x)
¬(p∧q)≡
¬p∨¬q
¬(p∨q)≡
¬p∧¬q
p → q ≡
¬p∨q
Modus Ponens
(p∧(p→ q)) → q
Modus Tollens
(¬q∧(p→q))→¬p
Simplification
p∧q→p
Generating function and expansion of 1 / (1-x)
Sum from 0 to infinity of X^n = (1,1,1,1,1,1,1,1,…)
Generating function and expansion of 1 / (1-x)^2
Sum from 0 to infinity of (n+1)X^n = (1,2,3,4,…)
Practice some characteristic equations now.
Yes sir
CSCE 222 CSCE222 Final exam – Texas A&M
CSCE 222 Discrete Structures for Computing School: Texas A&M University (Texas A&M) *Professor:math, Lee, KLAPPENECKER, Klappenacker, n… Documents (404) Q&A (32) Textbook Exercises (20+)
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CSCE 222 CSCE222 Final exam – Texas A&M
CSCE 222 – Fall 2016 Register Now hw4 Discrete Structures for Computing Documents All (404) Homework Help (204) Lab Reports (5) Notes (42) Test Prep (22) Showing 1 to 30 of 404 Sort by: Most Popular 6 pagesCSCE 222 Exam 1 Review.docxCSCE 222 Exam 1 Review.docx Texas A&M University Discrete Structures for Computing
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CSCE 222 – Spring 2014 Register Now hw7.pdf Textbook Exercises Discrete Mathematics and Its Applications image Discrete Mathematics and Its Applications Ch 1, Section 1.1 Propositional Logic, Exercise 1The given sentence is a preposition as it is declarative and states a fact.
CSCE 222 CSCE222 Final exam – Texas A&M
Truth value of the…Discrete Mathematics and Its Applications Ch 2, Section 2.1 Sets, Exercise 1The given set contains the values of x which are the solutions of the equation {{x}^{2}}=1 .Discrete Mathematics and Its
Applications Ch 3, Section 3.1 Algorithms, Exercise 1The first number in the series is assigned to the variable max . Then, the algorithm recursively…Discrete Mathematics and Its Applications Ch 4, Section 4.1
Divisibility and Modular Arithmetic , Exercise 1A nonzero integer a divides another integer b if \dfrac{b}{a} results in an integer. Clearly,…Discrete Mathematics and Its Applications Ch 5, Section 5.1 Mathematical Induction , Exercise 1Let P\left( n \right) be “Vehicle T stops at a station n “.
Basis step: According to the…Discrete Mathematics and Its Applications Ch 6, Section 6.1 The Basics of Counting, Exercise 1Find the number of ways in which one representative can be picked from 18 M majors.
CSCE 222 CSCE222 Final exam – Texas A&M
Use the product…Discrete Mathematics and Its Applications Ch 7, Section 7.1 An Introduction to Discrete Probability , Exercise 1Use the Laplace’s definition of probability for an event.Discrete Mathematics and Its Applications Ch 8, Section 8.1 Applications of Recurrence Relations , Exercise 1Let P\left( n \right) be {{H}_{n}}={{2}^{n}}-1 .
Show that it is true for n=1 . When it is only one…Discrete Mathematics and Its Applications Ch 9, Section 9.1 Relations and Their Properties , Exercise 1Define the relation R=\left\{ \left( a,b \right)|a=b \right\} . The elements common to both the…
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CSCE 222 CSCE222 Final exam – Texas A&M
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