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26 docs tagged with "function"

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DIFF.1D.AKIMA

First derivative using Akima Spline Interpolation. A special case of cubic spline that is more robust to outliers.

DIFF.1D.LOGLINEAR

First derivative using Piece-wise Log-Linear Interpolation. This is equivalent to a linear interpolation in the log-scale.

DIFF.1D.NEVILLE

First derivative using Lagrange Polynomial Interpolation (Neville's Algorithm).

DIFF.1D.PCHIP

First derivative using Monotone Cubic Spline (Pchip). A special case of cubic spline that preserves monotonicity of the data.

DIFF.1D.STEP

First derivative using Step Interpolation. Note: derivative of step function is zero except at discontinuities.

DIFF2.1D.AKIMA

Second derivative using Akima Spline Interpolation. A special case of cubic spline that is more robust to outliers.

DIFF2.1D.LINEAR

Second derivative using Linear Spline Interpolation. Note: second derivative of linear spline is zero except at knot points.

DIFF2.1D.LOGLINEAR

Second derivative using Piece-wise Log-Linear Interpolation. This is equivalent to a linear interpolation in the log-scale.

DIFF2.1D.NEVILLE

Second derivative using Lagrange Polynomial Interpolation (Neville's Algorithm).

DIFF2.1D.PCHIP

Second derivative using Monotone Cubic Spline (Pchip). A special case of cubic spline that preserves monotonicity of the data.

DIFF2.1D.STEP

Second derivative using Step Interpolation. Note: second derivative of step function is zero.

INTEG.1D.AKIMA

Definite integral using Akima Spline Interpolation. A special case of cubic spline that is more robust to outliers.

INTEG.1D.PCHIP

Definite integral using Monotone Cubic Spline (Pchip). A special case of cubic spline that preserves monotonicity of the data.

INTERP.1D.AKIMA

Akima Spline Interpolation. A special case of cubic spline that is more robust to outliers.

INTERP.1D.LOGLINEAR

Piece-wise Log-Linear Interpolation. This is equivalent to a linear interpolation in the log-scale.

INTERP.1D.NEVILLE

Lagrange Polynomial Interpolation using Neville's Algorithm. Supports both differentiation and integration.

INTERP.1D.PCHIP

Monotone Cubic Spline (Pchip). A special case of cubic spline that preserves monotonicity of the data.

INTERP.1D.STEP

Step Interpolation. A step function where the interpolated value is always the value of the first key which is nearest to and less than or equal to the evaluation point.