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Interpolation estimates values between known data points using polynomial (Lagrange) or spline methods.

Водич корак по корак

  1. 1Input known data points
  2. 2Choose interpolation type: linear, polynomial, spline
  3. 3Estimate value at desired point

Worked Examples

Инпут
Points: (1,2), (2,4), (3,9)
Резултат
At x=2.5: linear ≈ 6.5, cubic polynomial ≈ 6.5 (both smooth)

Common Mistakes to Avoid

  • Extrapolating beyond data range (unreliable)
  • Over-fitting with high-degree polynomials

Frequently Asked Questions

Which interpolation method is best?

Cubic splines usually; balance between fitting and smoothness.

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