🖥️
Numerical Error
★★★☆☆High School
📖Definition
Numerical error arises in computer calculations. Types include rounding error, truncation error, and propagation error.
📐Formulas
Absolute error = |x - \tildex|
Absolute error
Relative error = \frac|x - \tildex||x|
Relative error
ε_machine ≈ 2.2 × 10^-16
Double precision machine epsilon
✏️Examples
예제 1
If true value is π and approximation is 3.14, find relative error.
⚡Applications
Scientific Computing
Calculation reliability
Finance
Precision calculations
Engineering
Simulation accuracy
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