
Study Guide
... Understand that an algebraic expression is simply a way to show a number if we don’t know all its parts Be able to translate words into algebraic expressions Understand that each term in an algebraic expression (2xy) has a “what” (in this case xy) and a “how many” (in this case 2) Understand the dif ...
... Understand that an algebraic expression is simply a way to show a number if we don’t know all its parts Be able to translate words into algebraic expressions Understand that each term in an algebraic expression (2xy) has a “what” (in this case xy) and a “how many” (in this case 2) Understand the dif ...
I. Imaginary Numbers - hrsbstaff.ednet.ns.ca
... Page 297: Read focus F and answer Focus Questions #27, 28, 29 (You don’t need to graph these questions) XVI. The Product of Complex Numbers Working in Polar Form We know that two complex numbers can be multiplied. If they are in polar form, it will look like this: ...
... Page 297: Read focus F and answer Focus Questions #27, 28, 29 (You don’t need to graph these questions) XVI. The Product of Complex Numbers Working in Polar Form We know that two complex numbers can be multiplied. If they are in polar form, it will look like this: ...
The Exponential Function. The function eA = An/n! is defined for all
... The situation for Un is similar, since in this case we have (eA )∗ = eA . So it is an easy matter to show Theorem: If A is skew hermitian: A∗ = −A, then f (t) = etA is a one parameter subgroup of Un . Conversely, if f (t) = etA is a one parameter subgroup of Un then A∗ = −A. The proof is similar to ...
... The situation for Un is similar, since in this case we have (eA )∗ = eA . So it is an easy matter to show Theorem: If A is skew hermitian: A∗ = −A, then f (t) = etA is a one parameter subgroup of Un . Conversely, if f (t) = etA is a one parameter subgroup of Un then A∗ = −A. The proof is similar to ...
Algebraic and Transcendental Numbers
... Back to the theorem: We want to show that A is countable. For each height, put the algebraic numbers of that height in some order Then put these lists together, starting with height 1, then height 2, etc., to put all of the algebraic numbers in order The fact that this is possible proves that A is c ...
... Back to the theorem: We want to show that A is countable. For each height, put the algebraic numbers of that height in some order Then put these lists together, starting with height 1, then height 2, etc., to put all of the algebraic numbers in order The fact that this is possible proves that A is c ...