1-7 - Garnet Valley
... For any nonzero absolute value, there are exactly two numbers with that absolute value. For example, both 5 and –5 have an absolute value of 5. To write this statement using algebra, you would write |x| = 5. This equation asks, “What values of x have an absolute value of 5?” The solutions are 5 and ...
... For any nonzero absolute value, there are exactly two numbers with that absolute value. For example, both 5 and –5 have an absolute value of 5. To write this statement using algebra, you would write |x| = 5. This equation asks, “What values of x have an absolute value of 5?” The solutions are 5 and ...
powerpoint - Asian Institute of Technology
... The height of the decision tree is the number of comparisons made in the worst case. Therefore, the minimum possible height of a binary tree with n! leaves is the number of comparisons in the worst case. ...
... The height of the decision tree is the number of comparisons made in the worst case. Therefore, the minimum possible height of a binary tree with n! leaves is the number of comparisons in the worst case. ...
4-3 Writing and Graphing Functions
... 4-3 Writing and Graphing Functions When an equation has two variables, its solutions will be all ordered pairs (x, y) that makes the equation true. Since the solutions are ordered pairs, it is possible to represent them on a graph. When you represent all solutions of an equation on a graph, you are ...
... 4-3 Writing and Graphing Functions When an equation has two variables, its solutions will be all ordered pairs (x, y) that makes the equation true. Since the solutions are ordered pairs, it is possible to represent them on a graph. When you represent all solutions of an equation on a graph, you are ...
Module 7:
... Since word problems are usually pretty traumatic for students, I will try to convince you all that you are well equipped to handle them. A word problem describes an equation(s), then asks a question. All you have to do is find the equation(s), solve it (them) and answer the question. Instead of prov ...
... Since word problems are usually pretty traumatic for students, I will try to convince you all that you are well equipped to handle them. A word problem describes an equation(s), then asks a question. All you have to do is find the equation(s), solve it (them) and answer the question. Instead of prov ...
Discrete Mathematics Recurrences
... The problem of the towers of Hanoi is based on a system of n discs of different sizes that fit over three fixed pegs. At the start we have all the discs arranged on peg one in size order smallest on top. The object is to transport this whole pile to peg three by a series of moves. A move consists of ...
... The problem of the towers of Hanoi is based on a system of n discs of different sizes that fit over three fixed pegs. At the start we have all the discs arranged on peg one in size order smallest on top. The object is to transport this whole pile to peg three by a series of moves. A move consists of ...
CIS 260 Recitations 3 Feb 6 Problem 1 (Complete proof of example
... definition a 2k 1 for some integer k . When we square both sides, we obtain that a 2 (2k 1) 2 4k 2 4k 1 2(2k 2 2k ) 1 2s 1 By definition this means that a 2 is even, which leads to contradiction with the assumption that it is odd. This shows that if a 2 is even then a is also ...
... definition a 2k 1 for some integer k . When we square both sides, we obtain that a 2 (2k 1) 2 4k 2 4k 1 2(2k 2 2k ) 1 2s 1 By definition this means that a 2 is even, which leads to contradiction with the assumption that it is odd. This shows that if a 2 is even then a is also ...
Elementary mathematics
Elementary mathematics consists of mathematics topics frequently taught at the primary or secondary school levels. The most basic topics in elementary mathematics are arithmetic and geometry. Beginning in the last decades of the 20th century, there has been an increased emphasis on problem solving. Elementary mathematics is used in everyday life in such activities as making change, cooking, buying and selling stock, and gambling. It is also an essential first step on the path to understanding science.In secondary school, the main topics in elementary mathematics are algebra and trigonometry. Calculus, even though it is often taught to advanced secondary school students, is usually considered college level mathematics.