Problem 543. deconvolution

Created by AMITAVA BISWAS

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=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Suppose there is a vector v like [1 0 0 -1], representing polynomial coefficients.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>In this example, the polynimial is 1*x^3+0*x^2+0*x-1 or (x^3-1).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Suppose there is another vector w like [1 -1].</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>In this example, the second polynomial is (x-1).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>If x is any integer then the polynomial represented by (v/w) is integer?</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

151 Solutions
53 Solvers

Last Solution submitted on Oct 23, 2022

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Rafael S.T. Vieira on 16 Oct 2020

This problem needs to have its description fixed. It should be "Is the polynomial represented by (v/w) an integer for any integer x except for the roots of w? if the integer x is a root of w, we will have a NaN, which is the case for the test case #1 and the value x=1 for instance.

Problem Recent Solvers53

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 543. deconvolution

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers53

Suggested Problems

More from this Author100

Problem Tags

Community Treasure Hunt

Problem 543. deconvolution

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers53

Suggested Problems

More from this Author100

Problem Tags

Community Treasure Hunt

Players