Turn on thread page Beta

use the previous result to show... (approximation, analysis) watch

    • Thread Starter
    Offline

    15
    ReputationRep:
    question 5 here - http://www.dpmms.cam.ac.uk/site2002/...9-10sheet3.pdf

    i really can't see how to use question 4 (which i've done, fine). i can't see how we're going to get a piecewise linear curve like in Q4 from a linear combination of continuous functions, which is presumably what we'd want to do.

    nor can i see where uniqueness would come from??
    Offline

    18
    ReputationRep:
    I'm not swearing this works, but try defining \phi_n to be the piecewise linear function with \phi_n(q_j) = \delta_{nj} for j=0,...,n.

    It should be obvious how to carry on from there (and I think it works).
    • Thread Starter
    Offline

    15
    ReputationRep:
    that was so clever it took me 5 minutes to figure out what you even meant. thanks.
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: January 15, 2010
The home of Results and Clearing

3,761

people online now

1,567,000

students helped last year

University open days

  1. SAE Institute
    Animation, Audio, Film, Games, Music, Business, Web Further education
    Thu, 16 Aug '18
  2. Bournemouth University
    Clearing Open Day Undergraduate
    Fri, 17 Aug '18
  3. University of Bolton
    Undergraduate Open Day Undergraduate
    Fri, 17 Aug '18
Poll
Will you be tempted to trade up and get out of your firm offer on results day?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.