Discuss topic-preservation of sign

Assignment Help Mathematics
Reference no: EM131582634

Question: Preservation of sign. Let be a continuous function from a metric space (X, d) to R, with the usual metric. Prove (directly) that the set {x ∈ X; (x) > 0} is open. Intuitively, this result says that a continuous function that is strictly positive (or negative) at a point will maintain its sign within a sufficiently small ball around the original point.

Reference no: EM131582634

Questions Cloud

Describe which level of education in which you wish to serve : Determine which level of education in which you wish to serve (Early childhood, Elementary, Middle School, High School, or Adult).
Find the eigenvalues of the matrix : The following theorems list some properties of eigenvalues and eigenvectors that will be useful in the study of linear dynamical systems.
Researching the mestiza and borderlands concepts : researching the mestiza and borderlands concepts - Do you think these two theoretical concepts can be applied to Julia Alvarezs novel
What measures should be taken to bring the epidemic : What measures should be taken to bring this epidemic under control? Describe what is happening or has happened with the new H1N1 virus.
Discuss topic-preservation of sign : Preservation of sign. Let be a continuous function from a metric space (X, d) to R, with the usual metric. Prove (directly) that the set {x ? X; (x) > 0}.
Create a flyer using the techniques learned : Consider factors such as your readers' knowledge of the subject, their atti- tudes, their reasons for reading, the way they will be using the document.
Explain assistance provide and phase of emergency management : Research a focusing event that occurred between 1927-1950. Explain the assistance provided and the phase of emergency management.
Determine alice jones zone of potential agreement : Explain the possible impact of each question, including whether it would improve the likelihood of success during the discussion
Prepare the journal entry to record the mortgage loan : Prepare the journal entry to record the mortgage loan. Prepare the journal entries to record the first two installment payments

Reviews

Write a Review

Mathematics Questions & Answers

  Discuss the effect of the mutual inductance

A changing electric current in a coil of wire will induce a voltage in a nearby coil. Important in the design of transformers.

  State how many pounds of cashews

The mix is to sell for $3.30 per pound. How many pounds of peanuts and how many pounds of cashews should be used to make 100 pounds of the mix?

  Distinction between stocks and flows lend clarity

Linda thinks that a rich person is someone who earns a lot of money. Meng thinks that a rich person is someone who has a big house and owns lots of stocks and bonds. How would the distinction between stocks and flows lend clarity to their discussi..

  Psychologists interested in learning theory

Psychologists interested in learning theory study learning curves.

  How have you personally been challenged to draw

How have you personally been challenged to draw from a diverse pool of individuals in your experience of "close" friendships? What are some of the barriers, if any?

  Does the data indicate that the mean remission time

Does the data indicate that the mean remission time using the new drug is different from 12.5 week at a level of significance of 0.01 - test the claim that the mean body mass index (BMI) of men is equal to the mean BMI of women.

  What was percentage change in demand for foreign travel

If there has beena 10 percent increase in consumer income between two periods, what was the percentage change in the demand for foreign travel? For tobacco products? For flour?

  How many dimes are in the piggy bank

Marty has a piggy bank that contains $2.25. The piggy bank contains only quarters and dimes. There are twice as many dimes as quarters in the bank. How many dimes are in the piggy bank?

  Find a mean of 3.25 pairs of jeans with a standard deviation

find a mean of 3.25 pairs of jeans with a standard deviation of 0.75 pairs.

  Maximizing profit-lemonade stand

Create a function to determine how much revenue you will make at each price you charge. This is done by multiplying the price times your function. For example if your function is Cups Sold = 1000 - 100*Price, your revenue function would be Price*(..

  How long ago was the artifact made

A wooden artifact from an ancient tomb contains 40 percent of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years.)

  Determining topological limit of a function

Let X be a subset of R, let E be a subset of X, let x_0 be an adherent point of E, and let f: X-->R, g: X-->R, h: X-->R be functions such that f(x)

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