Question about analytic function proofs

Assignment Help Mathematics

Reference no: EM13127652

1) Show that the real part of the function z^(1/2) is always positive.

2) Suppose f: G --> C ( C complex plane) is analytic and that G is connected. Show that if f(z) is real for all z in G, then f is a constant.

Reference no: EM13127652

Questions Cloud

What is the molarity of silver nitrate in the solution : An aqueous solution is 22.0% by mass silver nitrate, AgNO3, and has a density of 1.22 g/mL. What is the molarity of silver nitrate in the solution?

Determining complex eigenvalues : Find the solution to the given system for the given initial condition

Calculate the internal energy change : At constant external pressure (1.2atm), the temperature of 3.25 mol of ideal gas increased from 250K to 305K. Calculate the internal energy change ΔE.

Define decision variables in linear programming problem : Define decision variables clearly. Formulate this as a linear programming problem and solve it with a detailed description of your output. Please include all output information.

Question about analytic function proofs : Show that the real part of the function z^(1/2) is always positive. Suppose f: G --> C ( C complex plane) is analytic and that G is connected. Show that if f(z) is real for all z in G, then f is a constant.

Agrees to pay for the goods : Shelly offers to sell Jane goods both parties know are stolen. Jane accepts the offer, and agrees to pay for the goods. Later, Jane refuses to accept or pay for the goods. If Shelly sues Jane for breach of contract, what is the probable result?

How will the investor report this change : Sick Company has owned 10 percent of Maust, Inc. for the past several years. This ownership did not allow Sick to have significant influence over Maust. Recently, Sick acquired an additional 30 percent of Maust and now will use the equity method. ..

Complex analysis-mobius transformation : Let D = {z: |z|

Explain routes of radiation exposure for a person : How should a professional emergency responder be concerned about the following routes of radiation exposure for a person on scene and a person downtown?

User Account

All Pages