Uses of Interface
org.episteme.core.mathematics.symbolic.Expression

Packages that use Expression

Package	Description
org.episteme.core.mathematics.loaders.mathml	Provides the invalid reference org.episteme.core.ml.mathml module.
org.episteme.core.mathematics.loaders.openmath	Provides the invalid reference org.episteme.core.ml.openmath module.
org.episteme.core.mathematics.symbolic

Uses of Expression in org.episteme.core.mathematics.loaders.mathml

Methods in org.episteme.core.mathematics.loaders.mathml that return Expression

Modifier and Type	Method	Description
static Expression<?>	MathMLBridge.convert(MathMLDocument doc)	Converts a MathML document into a symbolic expression.

Uses of Expression in org.episteme.core.mathematics.loaders.openmath

Methods in org.episteme.core.mathematics.loaders.openmath that return Expression

Modifier and Type	Method	Description
static Expression<?>	OpenMathBridge.convert(Object omObj)	Converts an OpenMath object to an Expression.

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

Classes in org.episteme.core.mathematics.symbolic that implement Expression

Modifier and Type	Class	Description
class	ConstantExpression<T extends Ring<T>>	Represents a constant value as a symbolic expression. *
class	DivisionExpression<T extends Ring<T>>	Represents a division of two expressions.
class	FunctionExpression<T extends Ring<T>>	Represents a transcendental function as a symbolic expression.
class	IntegralExpression<T extends Ring<T>>	Represents a symbolic integral.
class	PolynomialExpression<T extends Ring<T>>	Represents a multivariate polynomial expression.
class	ProductExpression<T extends Ring<T>>	Represents a product of two expressions.
class	SumExpression<T extends Ring<T>>	Represents a sum of two expressions.
class	Variable<T extends Ring<T>>	Represents a symbolic variable (e.g., "x", "y", "theta").

Methods in org.episteme.core.mathematics.symbolic that return Expression

Modifier and Type	Method	Description
Expression<T>	ConstantExpression.add(Expression<T> other)
Expression<T>	DivisionExpression.add(Expression<T> other)
Expression<T>	Expression.add(Expression<T> other)	Adds this expression to another.
Expression<T>	FunctionExpression.add(Expression<T> other)
Expression<T>	IntegralExpression.add(Expression<T> other)
Expression<T>	PolynomialExpression.add(Expression<T> other)
Expression<T>	ProductExpression.add(Expression<T> other)
Expression<T>	SumExpression.add(Expression<T> other)
Expression<T>	Variable.add(Expression<T> other)
static <T extends Ring<T>> Expression<T>	Simplifier.collectLikeTerms(Expression<T> expr)	Collects like terms in an expression.
Expression<T>	ConstantExpression.compose(Variable<T> variable, Expression<T> substitution)
Expression<T>	DivisionExpression.compose(Variable<T> variable, Expression<T> substitution)
Expression<T>	Expression.compose(Variable<T> variable, Expression<T> substitution)	Composes this expression by substituting a variable with another expression.
Expression<T>	FunctionExpression.compose(Variable<T> variable, Expression<T> substitution)
Expression<T>	IntegralExpression.compose(Variable<T> v, Expression<T> substitution)
Expression<T>	PolynomialExpression.compose(Variable<T> variable, Expression<T> substitution)
Expression<T>	ProductExpression.compose(Variable<T> variable, Expression<T> substitution)
Expression<T>	SumExpression.compose(Variable<T> variable, Expression<T> substitution)
Expression<T>	Variable.compose(Variable<T> variable, Expression<T> substitution)
Expression<T>	ConstantExpression.differentiate(Variable<T> variable)
Expression<T>	DivisionExpression.differentiate(Variable<T> variable)
Expression<T>	Expression.differentiate(Variable<T> variable)	Differentiates this expression with respect to the given variable.
Expression<T>	FunctionExpression.differentiate(Variable<T> variable)
Expression<T>	IntegralExpression.differentiate(Variable<T> v)
Expression<T>	PolynomialExpression.differentiate(Variable<T> variable)
Expression<T>	ProductExpression.differentiate(Variable<T> variable)
Expression<T>	SumExpression.differentiate(Variable<T> variable)
Expression<T>	Variable.differentiate(Variable<T> variable)
Expression<T>	ConstantExpression.divide(Expression<T> other)
Expression<T>	DivisionExpression.divide(Expression<T> other)
Expression<T>	Expression.divide(Expression<T> other)	Divides this expression by another.
Expression<T>	FunctionExpression.divide(Expression<T> other)
Expression<T>	IntegralExpression.divide(Expression<T> other)
Expression<T>	PolynomialExpression.divide(Expression<T> other)
Expression<T>	ProductExpression.divide(Expression<T> other)
Expression<T>	SumExpression.divide(Expression<T> other)
Expression<T>	Variable.divide(Expression<T> other)
static <T extends Ring<T>> Expression<T>	Simplifier.expandProducts(Expression<T> expr)	Expands products in an expression.
Expression<T>	FunctionExpression.getArgument()
Expression<T>	DivisionExpression.getDenominator()	Returns the denominator.
Expression<T>	FunctionExpression.getExponent()
Expression<T>	ProductExpression.getLeft()	Returns the left operand.
Expression<T>	SumExpression.getLeft()	Returns the left operand.
Expression<T>	DivisionExpression.getNumerator()	Returns the numerator.
Expression<T>	ProductExpression.getRight()	Returns the right operand.
Expression<T>	SumExpression.getRight()	Returns the right operand.
Expression<T>	ConstantExpression.integrate(Variable<T> variable)
Expression<T>	DivisionExpression.integrate(Variable<T> variable)
Expression<T>	Expression.integrate(Variable<T> variable)	Integrates this expression with respect to the given variable.
Expression<T>	FunctionExpression.integrate(Variable<T> variable)
Expression<T>	IntegralExpression.integrate(Variable<T> v)
Expression<T>	PolynomialExpression.integrate(Variable<T> variable)
Expression<T>	ProductExpression.integrate(Variable<T> variable)
Expression<T>	SumExpression.integrate(Variable<T> variable)
Expression<T>	Variable.integrate(Variable<T> variable)
Expression<T>	ConstantExpression.multiply(Expression<T> other)
Expression<T>	DivisionExpression.multiply(Expression<T> other)
Expression<T>	Expression.multiply(Expression<T> other)	Multiplies this expression by another.
Expression<T>	FunctionExpression.multiply(Expression<T> other)
Expression<T>	IntegralExpression.multiply(Expression<T> other)
Expression<T>	PolynomialExpression.multiply(Expression<T> other)
Expression<T>	ProductExpression.multiply(Expression<T> other)
Expression<T>	SumExpression.multiply(Expression<T> other)
Expression<T>	Variable.multiply(Expression<T> other)
Expression<T>	ConstantExpression.negate()
Expression<T>	DivisionExpression.negate()
Expression<T>	Expression.negate()	Negates this expression.
Expression<T>	FunctionExpression.negate()
Expression<T>	IntegralExpression.negate()
Expression<T>	ProductExpression.negate()
Expression<T>	SumExpression.negate()
Expression<T>	Variable.negate()
default Expression<T>	Expression.pow(int n)	Raises this expression to an integer power.
Expression<T>	ConstantExpression.simplify()
Expression<T>	DivisionExpression.simplify()
Expression<T>	Expression.simplify()	Simplifies this expression using algebraic rules.
Expression<T>	FunctionExpression.simplify()
Expression<T>	IntegralExpression.simplify()
Expression<T>	PolynomialExpression.simplify()
Expression<T>	ProductExpression.simplify()
static <T extends Ring<T>> Expression<T>	Simplifier.simplify(Expression<T> expr)	Simplifies an LegacyExpression using all available rules.
Expression<T>	SumExpression.simplify()
Expression<T>	Variable.simplify()
static <T extends Ring<T>> Expression<T>	Simplifier.simplifyAlgebraic(Expression<T> expr)	Simplifies algebraic expressions.
static <T extends Ring<T>> Expression<T>	Simplifier.simplifyArithmetic(Expression<T> expr)	Simplifies arithmetic operations.
static <T extends Ring<T>> Expression<T>	Simplifier.simplifyTrigonometric(Expression<T> expr)	Simplifies trigonometric expressions.
Expression<T>	ConstantExpression.subtract(Expression<T> other)
Expression<T>	DivisionExpression.subtract(Expression<T> other)
Expression<T>	Expression.subtract(Expression<T> other)	Subtracts another expression from this.
Expression<T>	FunctionExpression.subtract(Expression<T> other)
Expression<T>	IntegralExpression.subtract(Expression<T> other)
Expression<T>	PolynomialExpression.subtract(Expression<T> other)
Expression<T>	ProductExpression.subtract(Expression<T> other)
Expression<T>	SumExpression.subtract(Expression<T> other)
Expression<T>	Variable.subtract(Expression<T> other)

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

Modifier and Type	Method	Description
Expression<T>	ConstantExpression.add(Expression<T> other)
Expression<T>	DivisionExpression.add(Expression<T> other)
Expression<T>	Expression.add(Expression<T> other)	Adds this expression to another.
Expression<T>	FunctionExpression.add(Expression<T> other)
Expression<T>	IntegralExpression.add(Expression<T> other)
Expression<T>	PolynomialExpression.add(Expression<T> other)
Expression<T>	ProductExpression.add(Expression<T> other)
Expression<T>	SumExpression.add(Expression<T> other)
Expression<T>	Variable.add(Expression<T> other)
static <T extends Ring<T>> Expression<T>	Simplifier.collectLikeTerms(Expression<T> expr)	Collects like terms in an expression.
Expression<T>	ConstantExpression.compose(Variable<T> variable, Expression<T> substitution)
Expression<T>	DivisionExpression.compose(Variable<T> variable, Expression<T> substitution)
Expression<T>	Expression.compose(Variable<T> variable, Expression<T> substitution)	Composes this expression by substituting a variable with another expression.
Expression<T>	FunctionExpression.compose(Variable<T> variable, Expression<T> substitution)
Expression<T>	IntegralExpression.compose(Variable<T> v, Expression<T> substitution)
Expression<T>	PolynomialExpression.compose(Variable<T> variable, Expression<T> substitution)
Expression<T>	ProductExpression.compose(Variable<T> variable, Expression<T> substitution)
Expression<T>	SumExpression.compose(Variable<T> variable, Expression<T> substitution)
Expression<T>	Variable.compose(Variable<T> variable, Expression<T> substitution)
static <T extends Ring<T>> FunctionExpression<T>	FunctionExpression.cos(Expression<T> arg)	Creates a cosine function expression.
Expression<T>	ConstantExpression.divide(Expression<T> other)
Expression<T>	DivisionExpression.divide(Expression<T> other)
Expression<T>	Expression.divide(Expression<T> other)	Divides this expression by another.
Expression<T>	FunctionExpression.divide(Expression<T> other)
Expression<T>	IntegralExpression.divide(Expression<T> other)
Expression<T>	PolynomialExpression.divide(Expression<T> other)
Expression<T>	ProductExpression.divide(Expression<T> other)
Expression<T>	SumExpression.divide(Expression<T> other)
Expression<T>	Variable.divide(Expression<T> other)
static <T extends Ring<T>> FunctionExpression<T>	FunctionExpression.exp(Expression<T> arg)	Creates an exponential function expression.
static <T extends Ring<T>> Expression<T>	Simplifier.expandProducts(Expression<T> expr)	Expands products in an expression.
static <T extends Ring<T>> FunctionExpression<T>	FunctionExpression.log(Expression<T> arg)	Creates a natural logarithm function expression.
Expression<T>	ConstantExpression.multiply(Expression<T> other)
Expression<T>	DivisionExpression.multiply(Expression<T> other)
Expression<T>	Expression.multiply(Expression<T> other)	Multiplies this expression by another.
Expression<T>	FunctionExpression.multiply(Expression<T> other)
Expression<T>	IntegralExpression.multiply(Expression<T> other)
Expression<T>	PolynomialExpression.multiply(Expression<T> other)
Expression<T>	ProductExpression.multiply(Expression<T> other)
Expression<T>	SumExpression.multiply(Expression<T> other)
Expression<T>	Variable.multiply(Expression<T> other)
static <T extends Ring<T>> FunctionExpression<T>	FunctionExpression.pow(Expression<T> base, Expression<T> exp)	Creates a power function expression.
static <T extends Ring<T>> Expression<T>	Simplifier.simplify(Expression<T> expr)	Simplifies an LegacyExpression using all available rules.
static <T extends Ring<T>> Expression<T>	Simplifier.simplifyAlgebraic(Expression<T> expr)	Simplifies algebraic expressions.
static <T extends Ring<T>> Expression<T>	Simplifier.simplifyArithmetic(Expression<T> expr)	Simplifies arithmetic operations.
static <T extends Ring<T>> Expression<T>	Simplifier.simplifyTrigonometric(Expression<T> expr)	Simplifies trigonometric expressions.
static <T extends Ring<T>> FunctionExpression<T>	FunctionExpression.sin(Expression<T> arg)	Creates a sine function expression.
static <T extends Ring<T>> FunctionExpression<T>	FunctionExpression.sqrt(Expression<T> arg)	Creates a square root function expression.
Expression<T>	ConstantExpression.subtract(Expression<T> other)
Expression<T>	DivisionExpression.subtract(Expression<T> other)
Expression<T>	Expression.subtract(Expression<T> other)	Subtracts another expression from this.
Expression<T>	FunctionExpression.subtract(Expression<T> other)
Expression<T>	IntegralExpression.subtract(Expression<T> other)
Expression<T>	PolynomialExpression.subtract(Expression<T> other)
Expression<T>	ProductExpression.subtract(Expression<T> other)
Expression<T>	SumExpression.subtract(Expression<T> other)
Expression<T>	Variable.subtract(Expression<T> other)
static <T extends Ring<T>> FunctionExpression<T>	FunctionExpression.tan(Expression<T> arg)	Creates a tangent function expression.

Constructors in org.episteme.core.mathematics.symbolic with parameters of type Expression

Modifier	Constructor	Description
	DivisionExpression(Expression<T> numerator, Expression<T> denominator, Ring<T> ring)	Creates a division expression.
	IntegralExpression(Expression<T> integrand, Variable<T> variable, Ring<T> ring)	Creates an integral expression.
	ProductExpression(Expression<T> left, Expression<T> right, Ring<T> ring)	Creates a product expression.
	SumExpression(Expression<T> left, Expression<T> right, Ring<T> ring)	Creates a sum expression.