Abstract algebra-real numbers

Assignment Help Algebra

Reference no: EM13117483

1. How can we picture real numbers "mod 2 pi" as something that goes round in a ring? How is that related to trigonometry?

2. Can we make a function from "real numbers mod 2 pi" to the rotations around the origin of the Cartesian plan so that this function is an isomorphism? Use the "natural" group operations on each set. Are these two groups communicative?

3. Can we make a function from the rotation matrices to the real numbers mod 2 pi to make an isomorphism? How? Is there a problem regarding commutativity here?

Reference no: EM13117483

Questions Cloud

Find two ethical issues in public health : Identify two ethical issues in public health and health services and/or major challenges facing the health care system in the United States.

Introduction to the foundations of american education : Choose one of the current debates from Introduction to the Foundations of American Education (13th ed.) listed in Appendix A. · Read the Yes and No opinions presented in the corresponding chapter in Introduction to the Foundations of American Educati..

Explain organizational goals financially and operationally : evelop at least three methods to monitor and control your proposed strategic plan, being sure to analyze how the measures will advance organizational goals financially and operationally

What is the mass of silver bromide : What is the mass of silver bromide AgBr precipatated from 2.96 g of iron (III) bromide FeBr3 ? FeBr3 + AgNO3 = AgBr + Fe(NO3)3.

Abstract algebra-real numbers : How can we picture real numbers "mod 2 pi" as something that goes round in a ring? How is that related to trigonometry? Can we make a function from "real numbers mod 2 pi" to the rotations around the origin of the Cartesian plan so that this functi..

How many moles of h2o will be formed : Suppose that an excess of propane, C3H8 burns in 320 g of O2. How many moles of H2O will be formed? C3H8 + 5 O2 → 3 CO2 + 4 H2O

Explain how consumer buyer affects the purchase process : Explain how it affects the purchase process as it relates to the product/service you chose in Week 1. You must conduct outside research to support your argument.

Miscellaneous algebra questions : The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. If a beam 1/4 foot wide,

What pressure must be applied : The volume of a cylinder in an auto is 0.44L. the cylinder is filled with a gasoline and air mixture at 1.0 atm and then is compressed to 0.073L prior to ignition.

User Account

All Pages