User Account

All Pages

Draw a few graphs on copies of the torus

Assignment Help Mathematics
Reference no: EM131585731

Question: 1. For which m,n is Km,n planar and for which m,n is Km,n non planar? Make and prove a conjecture.

2. Check out Figure for an interesting way to represent the torus (surface of a doughnut):

(a) Convince yourself that the left and right diagrams really are two representations of the same thing.

(b) Draw a few graphs on copies of the torus. (Make sure to cross each of the rectangle edges so that you're genuinely using the torus.)

(c) Try out Euler's formula on these graphs. Does it still hold? If not, does some other formula hold?

(d) Special challenge: Prove your conjecture.

1948_27.png

Reference no: EM131585731

Questions Cloud

What theories do people use to understand themselves : What theories do people use to understand themselves and others
What did you find most interesting or surprising : What did you find most interesting or "surprising" about chpter 2?
Attempt to embed the petersen graph on the torus : Attempt to embed K5 on the torus. Is it possible?
Discuss the context of normative social influence : Describe an instance in your life when you were persuaded to adopt or reject group norms
Draw a few graphs on copies of the torus : For which m,n is Km,n planar and for which m,n is Km,n non planar? Make and prove a conjecture.
Correctly priced-overpriced or underpriced : Firm K’s shares sell today for $45. It is forecast that the share price will be $51 at end of one year. Is firm K correctly priced, overpriced or underpriced.
Database of the inventory of the products : COP3804 - Locate a single product and display its name, price and quantity alone -
Calculate the expected dividends for years : Company A has just paid a dividend (D0) of $1.50. Calculate the expected dividends for years 1 through 5.
Shares sell at the expected price : How much will the company receive if all shares sell at the expected price?

Reviews

Write a Review

Mathematics Questions & Answers

  Questions on ferris wheel

Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.

  Logistic map

This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.

  Finding the probability of cards

This assignment has questions related to probabiltiy.

  Systems of ode

Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.

  Derive the boolean expression

Derive the Boolean Expression and construct the switching circuit for the truth table stated

  System of equations

Evaluate which equations are under-identified, just-identified, and over-identified.

  Linear programming problem

Linear programming problem consisting of only two constraints with one objective function.

  Find the natural domain

Find the natural domain of the given functions.

  Introduction to numerical methods

Compute the coecients of the polynomials using the term recurrence relation.

  Chart of the topological manifold

De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.

  Mathematics in computing

Questions related on mathematics in computing.

  Complex problems

Complex problems

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd