Chapter 2
... First, let us inspect the uniformity of the generator. One hundred numbers were generated using Excel, and the FREQUENCY function was used to count the number that fell in each of the 10 subintervals of length 0.1. This function requires two array inputs: (i) the array of data to be analyzed and (ii ...
... First, let us inspect the uniformity of the generator. One hundred numbers were generated using Excel, and the FREQUENCY function was used to count the number that fell in each of the 10 subintervals of length 0.1. This function requires two array inputs: (i) the array of data to be analyzed and (ii ...
RIGHT TRIANGLES WITH ALGEBRAIC SIDES AND ELLIPTIC
... numbers. Hence, there is no perfect square amongst the congruent numbers since otherwise the corresponding rational triangle would be similar to one with area equal to 1. By the same reason one can restrict to square-free positive integers, a condition we will assume in the sequel. There is a fruitf ...
... numbers. Hence, there is no perfect square amongst the congruent numbers since otherwise the corresponding rational triangle would be similar to one with area equal to 1. By the same reason one can restrict to square-free positive integers, a condition we will assume in the sequel. There is a fruitf ...
Module 2: Sets and Numbers
... a. This represents a set since it is “well defined”: We all know what it means to be registered for a class. b. This does NOT represent a set since it is not well defined: There are many different understandings of what it means to be a good student (get an A or pass the class or attend class or avo ...
... a. This represents a set since it is “well defined”: We all know what it means to be registered for a class. b. This does NOT represent a set since it is not well defined: There are many different understandings of what it means to be a good student (get an A or pass the class or attend class or avo ...
Key Questions
... this, let’s consider a more obvious example: x2 = 9 Ask yourself the following question: What number multiplied by itself is equal to 9? This is actually a trick question since there are two such numbers: x = 3 and x = -3. Remember, (-3)(-3) = 9 AND (3)(3) = 9. The answer to the equation x2 = 9 is f ...
... this, let’s consider a more obvious example: x2 = 9 Ask yourself the following question: What number multiplied by itself is equal to 9? This is actually a trick question since there are two such numbers: x = 3 and x = -3. Remember, (-3)(-3) = 9 AND (3)(3) = 9. The answer to the equation x2 = 9 is f ...
Homework
... paper should clearly state relevant definitions (Abelian Group, Automorphism, Ring, Integral Domain). Such definitions should be incorporated within each proof making all appropriate connections. The paper should provide well-written justifications for relevant steps using complete and comprehensive ...
... paper should clearly state relevant definitions (Abelian Group, Automorphism, Ring, Integral Domain). Such definitions should be incorporated within each proof making all appropriate connections. The paper should provide well-written justifications for relevant steps using complete and comprehensive ...
Glossary
... This student friendly glossary is designed to be a reference for key vocabulary, properties, and mathematical terms. Several of the entries include a short example to aid your understanding of important concepts. Also available at BigIdeasMath.com: ...
... This student friendly glossary is designed to be a reference for key vocabulary, properties, and mathematical terms. Several of the entries include a short example to aid your understanding of important concepts. Also available at BigIdeasMath.com: ...
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.