Homework 6
Translate the following English sentences into statements of predicate calculus.
1.
All programmers enjoy discrete mathematics
i.
xP(x)>P(y)cfw_P(x)isprogrammerandP(y)isenjoyingdiscretemath
1.
Translate the following English sentences into statements of predicate
calculus.
1. All programmers enjoy discrete mathematics
x[PxMx]
2. Some integers are not odd
x O(x)
3. Every integer that is d
Name : Gandeev Niraula
Homework 1
CMSC 150 Fall 2015 Section 7981 - Assignment 1, due October 25
In this assignment, N will denote the set of positive integers, Z the set of all integers, Q the set of
Homework 5
1. Which of the following sentences are logical statements?
1. If x even divides y, then x is a factor of y
Fully logical
2. If John does well in discrete math, then he will be an excellent
Homework 2
1. Enumerate the elements of the following relations from the set A of positive
integers less than or equal to 10 to the set B of positive integers less than or equal
to 30.
A = cfw_1, 2, 3
University of Maryland University College
CMSC 150 Introduction to Discrete Structures
Final Examination
1. (10 pts) For each the following groups of sets, determine whether they form a
partition for
Example 1
A
$ 25 credit and a $ 25 charge appear similar, yet they are very different.
Describe what is similar about the two transactions.
How do the two transactions differ?
Exercises
1.
Scientists
Name: _
Math
Date: _
Class: _
Transformational Geometry -Translations
A transformation is a change in the _, _, or _ of a
figure.
A translation is a transformation which _ each point of a figure the s
Homework 1
Diagram for 5.2 is wrong. Everything else is correct.
1.
Enumerate the elements of the following sets:
1.
cfw_x: x is an odd positive integer less than 13
Let A = cfw_x: x is an odd positiv
Homework 3
1. Determine whether each of the following functions is 1-to-1 and whether it is onto.
Assume the domain and co-domain is Z, the integers. Explain your answers.
i.
f(n) = n / 2, assuming in
Kai Bennett
Homework 2
CMSC 150
January 24, 2016
1.
Enumerate the elements of the following relations from the set A of positive
integers less than or equal to 10 to the set B of positive integers les
1. (10 pts) For each the following groups of sets, determine whether they form a partition
for the set of integers. Explain your answer.
a. A1 = cfw_n Z : n > 0
A2 = cfw_n Z : n < 0
A1 contains all in
For educational purposes only. Do not use this document to
infringe on an educational institutions code of integrity. I
take no responsibility for the actions of others in relation to
this document.
U
Homework 7
4 and 5 are incorrect
1. Prove that the difference of two odd integers is even. Give a justification at each step.
Even integer = n Z, n is even k Z, n = 2k
Odd integer = n Z, n is odd k Z,
FinalExam CMSC SPRING 2015
Introduction to Discrete Structures
Reece Harris,
Instructor May 5,
2014
Unless otherwise stated, all problems have a 1 point value.
1
Miscellaneous Problems
1. (4 points) L
1
Using the predicate symbols shown and appropriate quantifiers, write each English
language statement in predicate logic. The domain is the whole world. In the
definition of a predicate, the variable
1. Prove that the difference of two odd integers is even. Give a
justification at each step.
An integer n is even if and only if n = 2k for some integer k. An integer
is odd, if and only if n = 2k + 1
1.
Calculate the number of integers divisible by 4 between 50 and 500, inclusive.
1. Smallest number divisible by 4: 52
Largest number divisible by 4: 500
( 50052 )
448
+1=
+1=112+1=113
4
4
(
) ( )
2.
Homework 4
The list for question 4 is incorrect
1.
Calculate the number of integers divisible by 4 between 50 and 500, inclusive.
N = 4k
500 = 52 + 4(n-1)
4(n-1) = 500 - 52 = 448
n - 1 = 448/4 = 112
n
USDAS Stem Summer Program Essay
My name is Wayne Monk Jr and the reason why I want to attend your great summer
program is that I really want to improve the way I do things academically. I also want yo
Name: _
Math
Date: _
Class_
Divisors and Dividend
Example 1
Fill in the three remaining squares so that all the squares contain equivalent expressions.
Equivalent
Expressions
Example 2
Fill in a blank
Name_
Math
Date_
Class_
Opening Exercise
Four friends are touring on motorcycles. They come to an intersection of two roads; the
road they are on continues straight, and the other is perpendicular to
The reason I want to attend the STEM summer camp program at
USDA is because my teacher encouraged me to attend this program.
because of what I have the power of doing in my school at Center
City PCS i
USDA'S OPEN DATA "SUMMER CAMP
Two-week program for DC students
The District of Columbia Public School Children are the priority
candidates.
The themes for this year's camp are Urban Agriculture, Urban
Homework 1:
1. Which of the following sentences are logical statements?
1. If x evenly divides y, then x is a factor of y: Fully logical
2. If John does well in discrete math, then he will be an excel