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Problem has input and output. A small perturbation gives a new input and a new output. A relative condition number for problem should satisfy which of the following?

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Problem<br><img src='https://www.fatskills.com/images2/GradExams/30087543-92D4-4DB4-A701-3415AD001C06.png' height='14' width='14'/> has input<br><img src='https://www.fatskills.com/images2/GradExams/1CAAF78E-98CE-4AE0-8CEA-6EFFA7423F84.png' height='14' width='10'/> and output<br><img src='https://www.fatskills.com/images2/GradExams/9A07F367-A254-456A-A63B-03AF76DBFB4A.png' height='15' width='14'/>. A small perturbation<br><img src='https://www.fatskills.com/images2/GradExams/754D3C25-F4A3-4991-A85D-214A63E0E434.png' height='15' width='19'/> gives a new input<br><img src='https://www.fatskills.com/images2/GradExams/4BE9582C-AFC6-424C-8321-06B66CBF2441.png' height='16' width='54'/> and a new output<br><img src='https://www.fatskills.com/images2/GradExams/B7401E47-559B-4026-BC38-BA84110860D8.png' height='16' width='63'/>. A relative condition number<br><img src='https://www.fatskills.com/images2/GradExams/1E9F57D1-44C6-46C2-B5D0-826B7E89000F.png' height='10' width='10'/> for problem<br><img src='https://www.fatskills.com/images2/GradExams/30087543-92D4-4DB4-A701-3415AD001C06.png' height='14' width='14'/> should satisfy which of the following?





 
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