Problem 1474. Chebyshev polynomials of the 1st Kind

Created by Yaroslav

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given an integer</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>n</w:t></w:r><w:r><w:t> ≥ 0, generate the</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>n</w:t></w:r><w:r><w:t>-th</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://en.wikipedia.org/wiki/Chebyshev_polynomials\"><w:r><w:t>Chebyshev polynomial of the 1st Kind</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Examples</w:t></w:r><w:r><w:t>:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ chebyshev1stKindPoly(0)\n ans =\n     1\n\n chebyshev1stKindPoly(1)\n ans =\n     1     0\n\n chebyshev1stKindPoly(2)\n ans =\n     2     0    -1]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Neither</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>string operations</w:t></w:r><w:r><w:t> nor</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>interpolations</w:t></w:r><w:r><w:t> are allowed!</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

90 Solutions
53 Solvers

Last Solution submitted on Dec 30, 2020

Last 200 Solutions

Problem Comments

Solution Comments

Solution 1422711

2 Comments

2 Comments

adel mezaour on 23 Jan 2018

Hi ! I've tried solving your problem using a recursive method, only to be met by a "While evaluating the solution, the server encountered an error caused by long running MATLAB code. Edit the code if needed and then submit." Are recursive codes computable by the matlab online platform ?
Regards,
Adel

Yaroslav on 24 Jan 2018

Hi! You are overdoing it by using a "for" loop with the recursion: it takes too long and an error is thrown. Remove the loop and try again. Good luck!
Regards, Yaroslav

Problem Recent Solvers53

Problem Tags

polynomial

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 1474. Chebyshev polynomials of the 1st Kind

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers53

Suggested Problems

More from this Author18

Problem Tags

Community Treasure Hunt

Problem 1474. Chebyshev polynomials of the 1st Kind

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers53

Suggested Problems

More from this Author18

Problem Tags

Community Treasure Hunt

Players