Numerical Analysis II
Linear interpolation is a mathematical method used to estimate unknown values that fall within a specific range of known values by connecting two points with a straight line. This technique assumes that the change between the two known points is linear, allowing for the approximation of intermediate values using the formula $$y = y_0 + \frac{(x - x_0)(y_1 - y_0)}{(x_1 - x_0)}$$. It's a fundamental tool in numerical analysis for solving problems that require estimating values from discrete data.
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