Problem 473. old wine in a new bottle?

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>You have been given an apparently brand new unary function XXX,</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>that maps some ordinary scalars to scalars,</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>please guess if this XXX is 'new wine' or 'old wine',</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>that is functionally equivalent to an already built-in function,</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>such as sin cos sqrt log10 etc.,</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>for positive inputs between 0.2 to 0.8.</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

150 Solutions
22 Solvers

Last Solution submitted on Dec 31, 2020

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

@bmtran (Bryant Tran) on 9 Mar 2012

test case 2 is incorrect. the given function will only return positive values, which means it is not equivalent to sin (and therefore new wine)

AMITAVA BISWAS on 9 Mar 2012

adding 'for positive inputs between 0.2 to 0.8'

Solution Comments

Solution 141493

1 Comment

1 Comment

J-G van der Toorn on 23 Sep 2012

In terms of Matlab's numerical accuracy, @(z)log10(10*z)-1 is not equal to log10. Therefore, it is new wine, as it produces different results than the built-in function.

Solution 141426

1 Comment

1 Comment

Jean-Marie Sainthillier on 23 Sep 2012

I don't understand this problem.

Problem Recent Solvers22

Problem Tags

function

Community Treasure Hunt

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

Start Hunting!

Problem 473. old wine in a new bottle?

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers22

Suggested Problems

More from this Author100

Problem Tags

Community Treasure Hunt

Problem 473. old wine in a new bottle?

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers22

Suggested Problems

More from this Author100

Problem Tags

Community Treasure Hunt

Players