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0:28
YouTube
JC-PhysicsMath
Why Small Errors Stay Small in Numerical Analysis
This video proves a key identity used throughout numerical analysis: that multiplying two small errors still gives a small error. It explains why expressions like (1 + roundoff error)(1 + approximation error) can be simplified to just 1 + error. This matters because it allows us to control and analyze how errors behave in computations ...
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