HallsofIvy said:You are asked to find an integer that will evenly divide into every integer. First, in order that m divide n evenly, m cannot be bigger than n (in absolute value)! What is the smallest possible absolute value for an integer? What integers have that absolute value? Will they divide into every integer?
XodoX said:Homework Statement
Define the relation a I b ( a divides b) between integers a and b and then define the greatest common divisor, gcd ( a,b), and the lowest common multiple, lcm ( a,b) Is there any number for m for which you have n I m ( n divides by m) for every n.
I just found this one and I have no clue how to do it. It seems difficult to me. Can somebody please explain it to me?
HallsofIvy said:You are asked to find an integer that will evenly divide into every integer...
Discrete Math is a branch of mathematics that deals with objects that can only take on distinct, separated values. It is important because it has applications in various fields such as computer science, engineering, and cryptography.
Some common topics in Discrete Math include set theory, logic, combinatorics, graph theory, and probability theory.
Discrete Math deals with finite, countable objects, while other branches of mathematics deal with continuous, infinite objects. Discrete Math also focuses on the analysis of discrete structures and algorithms.
To excel in Discrete Math, one should have a strong foundation in algebra, logic, and problem-solving skills. Familiarity with programming languages such as Java or Python can also be helpful.
Discrete Math has numerous real-life applications, such as in computer science for designing algorithms and data structures, in cryptography for secure communication, and in probability for making informed decisions. It is also used in fields like economics, biology, and social sciences.