Uses of Interface
org.episteme.core.mathematics.analysis.DifferentiableFunction

Packages that use DifferentiableFunction

Package	Description
org.episteme.core.mathematics.analysis
org.episteme.core.mathematics.analysis.series
org.episteme.core.mathematics.analysis.transform
org.episteme.core.mathematics.geometry
org.episteme.core.mathematics.geometry.curves
org.episteme.core.mathematics.geometry.surfaces
org.episteme.core.mathematics.symbolic

Uses of DifferentiableFunction in org.episteme.core.mathematics.analysis

Subinterfaces of DifferentiableFunction in org.episteme.core.mathematics.analysis

Modifier and Type	Interface	Description
interface	RealFunction	Represents a real-valued function of a real variable (R -> R).
interface	UnivariateFunction	Univariate function (single variable: ℝ → ℝ).
interface	VectorFunction<F extends Field<F>>	Represents a function from a vector space to another (F^n -> F^m).

Classes in org.episteme.core.mathematics.analysis that implement DifferentiableFunction

Modifier and Type	Class	Description
class	PolynomialFunction<R>	Represents a polynomial function P(x) over a Ring R.

Uses of DifferentiableFunction in org.episteme.core.mathematics.analysis.series

Methods in org.episteme.core.mathematics.analysis.series with parameters of type DifferentiableFunction

Modifier and Type	Method	Description
static PowerSeries	PowerSeries.taylor(DifferentiableFunction<Real,Real> f, Real center)	Generates a Taylor series expansion for a differentiable function. f(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2!
static PowerSeries	PowerSeries.taylor(DifferentiableFunction<Real,Real> f, Real center, int maxOrder)	Generates a Taylor series expansion with memoized derivatives.

Uses of DifferentiableFunction in org.episteme.core.mathematics.analysis.transform

Classes in org.episteme.core.mathematics.analysis.transform that implement DifferentiableFunction

Modifier and Type	Class	Description
class	DiscreteFourierTransform	Discrete Fourier Transform (DFT) using Fast Fourier Transform (FFT) algorithm.

Uses of DifferentiableFunction in org.episteme.core.mathematics.geometry

Subinterfaces of DifferentiableFunction in org.episteme.core.mathematics.geometry

Modifier and Type	Interface	Description
interface	ParametricCurve	Represents a parametric curve in N-dimensional space.
interface	ParametricSurface	Represents a parametric surface in 3D space.

Uses of DifferentiableFunction in org.episteme.core.mathematics.geometry.curves

Classes in org.episteme.core.mathematics.geometry.curves that implement DifferentiableFunction

Modifier and Type	Class	Description
class	BezierCurve	Represents a Bézier curve.
class	Circle	Represents a circle as a parametric curve.
class	Ellipse	Represents an ellipse curve.
class	Helix	Represents a 3D helix (spiral) curve.

Uses of DifferentiableFunction in org.episteme.core.mathematics.geometry.surfaces

Classes in org.episteme.core.mathematics.geometry.surfaces that implement DifferentiableFunction

Modifier and Type	Class	Description
class	Cone	Represents a conical surface.
class	Cylinder	Represents a cylindrical surface.
class	Ellipsoid	Represents an ellipsoidal surface.
class	Paraboloid	Represents a paraboloidal surface.
class	Sphere	Represents a sphere as a parametric surface.
class	Torus	Represents a torus as a parametric surface.

Uses of DifferentiableFunction in org.episteme.core.mathematics.symbolic

Methods in org.episteme.core.mathematics.symbolic with parameters of type DifferentiableFunction

Modifier and Type	Method	Description
static Series<Real>	Series.taylor(DifferentiableFunction<Real,Real> f, Real a, int order)	Creates a Taylor series for a differentiable function around a point a. f(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)²/2!