Discrete metric space

Assignment Help Mathematics
Reference no: EM131703371

Show, a subset K of a discrete metric space X is compact if and only if it is finite. In particular, if X is infinite, then X is complete (and thus closed) and bounded, but not compact.

Reference no: EM131703371

Questions Cloud

Financial statements for an enterprise fund : (Journal entries and financial statements for an Enterprise Fund) The Metro Central Railroad is a commuter railroad that stops at the Village of Katonah.
What plans might you make for jason to address : How does one bring strengths-based approaches into environments that may be pre-disposed to focus more on problems?
Contrapositive of the definition of one-to-one function : Note the contrapositive of the definition of one-to-one function given on page 141 of the text is: If a ? b then f(a) ? f(b).
Why are master data relevant for material planning : Why are master data relevant for material planning? Can you give an example? Can you explain the advantages and disadvantages or ERP systems?
Discrete metric space : Show, a subset K of a discrete metric space X is compact if and only if it is finite. In particular, if X is infinite, then X is complete (and thus closed)
Discuss an advertisement for digital cameras : This is for a communication class and keeping in mind above statement/task - have to answer who the audience would be who are all will be looking at the letter
Computation of proprietary fund net position : (Computation of proprietary fund net position) Given here is the December 31, 2013, preclosing trial balance for the City of Hudson Golf Course Enterprise Fund.
Develop a two-page typewritten summary of what you propose : Develop a two-page typewritten summary of what you propose. Include the rationale behind your action plan.
How far does he live from his? job : Bob drove from home to work at 30 mph. After work the traffic was? heavier, and he drove home at 25 mph. His driving time to and from work.

Reviews

Write a Review

Mathematics Questions & Answers

  How many ways can four distinct points be arranged in plane

Four Points, Two Distances. How many ways can four distinct points be arranged in the plane so that the six distances between pairs of points take on only two different values

  Probability and statistics- outcome of dice rolls

Probability & Statistics : Outcome of Dice Rolls, Two people play a game. A single die is thrown. If the outcome is a 2 or a 3, then player A pays player B $6.00.

  Consumer surplus under market equilibrium

The demand equation for a product is p=0.01q2-1.1q+30 and the supply equation is p=0.01q2+8. Find the equilibrium point (po,qo) and determine the consumer surplus under market equilibrium.

  Find which 2 variables have weakest strength of relationship

Find which two variables have the weakest strength of relationship?

  How much depreciation expense should be recorded each year

At the beginning of 2012, Mazzaro Company acquired equipment costing $120,000. It was estimated that this equipment would have a useful life of 6 years.

  Single randomly-selected shopped for either clothing

(a) What is the probability that a single randomly-selected shopped for either clothing or electronics yesterday, but not both? (b) Let C = {customers shopping for clothes} and E = {customers shopping for electronics}.

  What are the possible values

Suppose that f (x) is a degree 4 polynomial with coefficients in a field F, and let K be the splitting field of f (x). What are the possible values for [K : F]?

  Find the volume of the solid

The cross-sections perpendicular to the v-axis are circular disks with diameters running from the y-axis to the parabola x = √15y2. Find the volume of the solid.

  What is the role of the leader in business

1. What is the role of the leader in business? 2. What keys to success did the leader describe?

  A circular pattern of radius 85ft

An agricultural sprinkler distributes water in a circular pattern of radius 85ft. It supplies water to a depth of e-r feet per hour at a distance of r feet from the sprinkler. (Do not substitute numerical values; use variables only.)

  The derivative from the rate of changes

The derivative from the rate of changes

  Process used in decision sciences models

How is the simulation process used in Decision Sciences models? What are the advantages of using simulation? What are its limitations? How can a simulation model be verified? Give a real world example where using simulation is appropriate.

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!

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