THE ARITHMETIC OF COMPLEX NUMBERS Contents 1. Basic
... Replacing t with it in et , using the fact that i2 = −1, and then collecting the real and imaginary parts, respectively, give the identity eit = cos t + i sin t. It is worth pointing out that this is not entirely rigorous, because we have not yet proven that power series make sense when we allow the ...
... Replacing t with it in et , using the fact that i2 = −1, and then collecting the real and imaginary parts, respectively, give the identity eit = cos t + i sin t. It is worth pointing out that this is not entirely rigorous, because we have not yet proven that power series make sense when we allow the ...
Irrational numbers
... Irrational numbers can be written only as decimals that do not terminate or repeat. They cannot be written as the quotient of two integers. If a whole number is not a perfect square, then its square root is an irrational number. For example, 2 is not a perfect square, so 2 is irrational. Caution! A ...
... Irrational numbers can be written only as decimals that do not terminate or repeat. They cannot be written as the quotient of two integers. If a whole number is not a perfect square, then its square root is an irrational number. For example, 2 is not a perfect square, so 2 is irrational. Caution! A ...
T. Henson Math 65 Elementary Algebra STUDY GUIDE FOR EXAM I
... should know for the exam. To study for the exam, review the concepts and skills listed and write out any definitions or properties you are expected to know. CHAPTER ONE Section One Vocabulary: sum, difference, product, quotient, variables, equation, algebraic expression. Concepts and Skills: • Using ...
... should know for the exam. To study for the exam, review the concepts and skills listed and write out any definitions or properties you are expected to know. CHAPTER ONE Section One Vocabulary: sum, difference, product, quotient, variables, equation, algebraic expression. Concepts and Skills: • Using ...
Speed Maths
... Here we find the surplus (or deficit) of the number from 50, denoted by x in the following expression and then use the following to find the square. (50 + x)^2 = 25 + x | x^2 The answer is arrived at in two parts, separated by ‘|’ in the above expression. The right hand part of the answer has to be ...
... Here we find the surplus (or deficit) of the number from 50, denoted by x in the following expression and then use the following to find the square. (50 + x)^2 = 25 + x | x^2 The answer is arrived at in two parts, separated by ‘|’ in the above expression. The right hand part of the answer has to be ...