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

Packages that use RealFunction

Package	Description
org.episteme.core.mathematics.analysis
org.episteme.core.mathematics.analysis.integration
org.episteme.core.mathematics.analysis.numerical
org.episteme.social.economics.models

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

Methods in org.episteme.core.mathematics.analysis that return RealFunction

Modifier and Type	Method	Description
default RealFunction	RealFunction.derivative()	Returns the derivative of this function.
static RealFunction	RealFunction.identity()
default RealFunction	RealFunction.integrate()	Returns the integral of this function (antiderivative) with zero constant.
static RealFunction	Differentiation.of(RealFunction f)	Returns the derivative of the given function.

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

Modifier and Type	Method	Description
static Real	Differentiation.derivativeAt(RealFunction f, Real x)	Computes the numerical derivative of a function at a specific point using Ridders' method of polynomial extrapolation for high accuracy.
static Real	Integration.integrate(RealFunction f, Real a, Real b)	Computes the definite integral of a function over the interval [a, b] using the default integrator strategy.
static RealFunction	Differentiation.of(RealFunction f)	Returns the derivative of the given function.
static Real	Integration.trapezoidal(RealFunction f, Real a, Real b, int n)	Computes the definite integral using the Trapezoidal rule (simpler, faster, less accurate).

Uses of RealFunction in org.episteme.core.mathematics.analysis.integration

Methods in org.episteme.core.mathematics.analysis.integration with parameters of type RealFunction

Modifier and Type	Method	Description
Real	AdaptiveSimpsonIntegrator.integrate(RealFunction f, Real a, Real b)
Real	AdaptiveSimpsonIntegrator.integrate(RealFunction f, Real a, Real b, Real tolerance)
Real	Integrator.integrate(RealFunction f, Real a, Real b)	Computes the definite integral of a function over [a, b].
Real	Integrator.integrate(RealFunction f, Real a, Real b, Real tolerance)	Computes the definite integral with specified tolerance.
Real	TrapezoidalIntegrator.integrate(RealFunction f, Real a, Real b)
Real	TrapezoidalIntegrator.integrate(RealFunction f, Real a, Real b, Real tolerance)

Uses of RealFunction in org.episteme.core.mathematics.analysis.numerical

Methods in org.episteme.core.mathematics.analysis.numerical with parameters of type RealFunction

Modifier and Type	Method	Description
static Real	RootFinding.bisection(RealFunction f, Real a, Real b)	Finds a root using the bisection method.
static Real	RootFinding.bisection(RealFunction f, Real a, Real b, double tolerance)
static Real	RootFinding.brent(RealFunction f, Real a, Real b)	Finds a root using Brent's method.
static Real	RootFinding.brent(RealFunction f, Real a, Real b, double tolerance)
static Real	RootFinding.newtonRaphson(RealFunction f, RealFunction df, Real x0)	Finds a root using Newton-Raphson method.
static Real	RootFinding.newtonRaphson(RealFunction f, RealFunction df, Real x0, double tolerance)
static Real	RootFinding.secant(RealFunction f, Real x0, Real x1)	Finds a root using the secant method.
static Real	RootFinding.secant(RealFunction f, Real x0, Real x1, double tolerance)

Uses of RealFunction in org.episteme.social.economics.models

Methods in org.episteme.social.economics.models with parameters of type RealFunction

Modifier and Type	Method	Description
static Real	SupplyDemandModel.consumerSurplus(RealFunction demand, Real equilibriumPrice, Real equilibriumQuantity)	Calculates the Consumer Surplus (CS), representing the cumulative difference between what consumers are willing to pay and the market price.
static Real	SupplyDemandModel.deadweightLoss(RealFunction supply, RealFunction demand, Real equilibriumQuantity, Real actualQuantity)	Calculates the Deadweight Loss (DWL) resulting from market inefficiencies or external interventions (e.g., price caps).
static Real	SupplyDemandModel.findEquilibriumPrice(RealFunction supply, RealFunction demand, Real priceLow, Real priceHigh, Real tolerance)	Resolves the market equilibrium price where the quantity supplied exactly equals the quantity demanded.
static Real	SupplyDemandModel.priceElasticity(RealFunction demand, Real price, Real deltaP)	Estimates the Price Elasticity of Demand (PED) at a specific price point.
static Real	SupplyDemandModel.producerSurplus(RealFunction supply, Real equilibriumPrice, Real equilibriumQuantity)	Calculates the Producer Surplus (PS), representing the cumulative difference between the market price and the price producers are willing to accept.
static Real	SupplyDemandModel.totalWelfare(RealFunction supply, RealFunction demand, Real equilibriumPrice, Real equilibriumQuantity)	Calculates the Total Social Welfare as the sum of consumer and producer surpluses.