Linear class final

Concrete implementation of Algebraic that represents a first degree polynomial equation in the form ax + b = 0.

This equation has exactly 1 solution, which can be real or complex.

Inheritance

Constructors

Linear({Complex a = const Complex.fromReal(1), Complex b = const Complex.zero()}): These are examples of linear equations, where the coefficient with the highest degree goes first:
Linear.realEquation({double a = 1, double b = 0}): These are examples of linear equations, where the coefficient with the highest degree goes first:

a → Complex: The first coefficient of the equation in the form f(x) = ab + b.
no setter
b → Complex: The second coefficient of the equation in the form f(x) = ab + b.
no setter
coefficients → List<Complex>: The list with the polynomial coefficients.
finalinherited
degree → int: The degree of the polynomial.
no setteroverride
hashCode → int: The hash code for this object.
no setterinherited
isRealEquation → bool: Determines whether the polynomial is real or not.
no setterinherited
runtimeType → Type: A representation of the runtime type of the object.
no setterinherited

coefficient(int degree) → Complex?: Returns the coefficient of the polynomial whose degree is degree. For example:
inherited
copyWith({Complex? a, Complex? b}) → Linear: Creates a deep copy of this object and replaces (if non-null) the given values with the old ones.
derivative() → Algebraic: The derivative of the polynomial.
override
discriminant() → Complex: The polynomial discriminant, if it exists.
override
evaluateIntegralOn(double lower, double upper) → Complex: Evaluates the integral of the the polynomial between lower and upper.
inherited
evaluateOn(Complex x) → Complex: Evaluates the polynomial on the given x value.
inherited
noSuchMethod(Invocation invocation) → dynamic: Invoked when a nonexistent method or property is accessed.
inherited
realEvaluateOn(double x) → Complex: Evaluates the polynomial on the given decimal x value.
inherited
solutions() → List<Complex>: Finds the roots (the solutions) of the associated P(x) = 0 equation.
override
toString() → String: A string representation of this object.
inherited
toStringWithFractions() → String: Returns a string representation of the polynomial where the coefficients are converted into their fractional representation.
inherited

operator *(Algebraic other) → Algebraic: The product of two polynomials is performed by multiplying the corresponding coefficients of the polynomials.
inherited
operator +(Algebraic other) → Algebraic: The sum of two polynomials is performed by adding the corresponding coefficients.
inherited
operator -(Algebraic other) → Algebraic: The difference of two polynomials is performed by subtracting the corresponding coefficients.
inherited
operator /(Algebraic other) → AlgebraicDivision: This operator divides a polynomial by another polynomial of the same or lower degree.
inherited
operator ==(Object other) → bool: The equality operator.
inherited
operator [](int index) → Complex: Returns the coefficient of the polynomial at the given index position. For example:
inherited
operator unary-() → Algebraic: The 'negation' operator changes the sign of every coefficient of the polynomial. For example:
inherited