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P

p(char) - Method in class org.mathIT.genes.DNA

Returns the probability to obtain the specified nucleobase of this genome sequence.

p(char) - Method in class org.mathIT.genes.Genome

Returns the probability to obtain the specified nucleobase of this genome sequence.

p(char) - Method in class org.mathIT.genes.Protein

Returns the probability to obtain the specified amino acid of this protein sequence.

paint(Graphics) - Method in class org.mathIT.plot.ComplexPlotPane

paint(Graphics) - Method in class org.mathIT.plot.Plot3DPane

paint(Graphics) - Method in class org.mathIT.plot.PlotPane

partitions(EnumSet<E>) - Static method in class org.mathIT.algebra.EnumSet

Returns a list of partitions of the specified set.

partitions() - Method in class org.mathIT.algebra.MathSet

Returns a list of partitions of this set.

partitions(MathSet<E>) - Static method in class org.mathIT.algebra.MathSet

Returns a list of partitions of the specified set.

partitions(E[]) - Static method in class org.mathIT.algebra.MathSet

Returns a list of partitions of the specified set, each partition encoded as an array partition[] meaning that set element i is in subset partition[i].

partitions() - Method in class org.mathIT.algebra.OrderedSet

Returns a list of partitions of this set.

partitions(OrderedSet<E>) - Static method in class org.mathIT.algebra.OrderedSet

Returns a list of partitions of the specified set.

partitions(E[]) - Static method in class org.mathIT.algebra.OrderedSet

Returns a list of partitions of the specified set, each partition encoded as an array partition[] meaning that set element i is in subset partition[i].

partitions(int) - Static method in class org.mathIT.numbers.Numbers

Returns a list of all partitions of a small integer n.

permutation(int, ArrayList<T>) - Static method in class org.mathIT.numbers.Combinatorics

For every number k with 0 ≤ k < n!

permutations(T[]) - Static method in class org.mathIT.numbers.Combinatorics

Returns all permutations of a sequence as a 2-dimensional array.

permutations(Set<T>) - Static method in class org.mathIT.numbers.Combinatorics

Returns all permutations of a set as a 2-dimensional array.

phaseFlip(int) - Method in class org.mathIT.quantum.stabilizer.GraphRegister

Apply a phase flip gate (i.e. a Pauli-Z) on vertex v.

phaseRot(int) - Method in class org.mathIT.quantum.stabilizer.GraphRegister

Apply a phase gate S on qubit v.

phi(int, double) - Static method in class org.mathIT.approximation.Wavelets

returns the value of the scaling function _Nφ(x) of the Daubechies wavelet DN, where N = 2, 4, ..., 20.

phi() - Method in class org.mathIT.numbers.Factors

The Euler function φ(n), sometimes also called totient function.

phiAsPartOfPi - Variable in class org.mathIT.quantum.QuantumGate

rotation angle, as the integral part n of π.

PI - Static variable in class org.mathIT.numbers.BigNumbers

The constant π, the ratio of the circumference of a circle to its diameter.

pi(int) - Static method in class org.mathIT.numbers.BigNumbers

Returns the exact value of π up th the specified precision.

pi(int, int) - Static method in class org.mathIT.numbers.BigNumbers

Returns the exact value of π up th the specified precision and the number system.

PI3_2 - Static variable in class org.mathIT.numbers.BigNumbers

The constant 3π/2.

PI3_4 - Static variable in class org.mathIT.numbers.BigNumbers

The constant 3π/4.

PI5_4 - Static variable in class org.mathIT.numbers.BigNumbers

The constant 5π/4.

PI7_4 - Static variable in class org.mathIT.numbers.BigNumbers

The constant 7π/4.

PI_2 - Static variable in class org.mathIT.numbers.BigNumbers

The constant π/2.

PI_4 - Static variable in class org.mathIT.numbers.BigNumbers

The constant π/4.

piecewiseLinear(double) - Method in class org.mathIT.approximation.Interpolation

piecewise linear continuous function interpolating between the x-y values.

pixelToV(int, int) - Method in class org.mathIT.plot.ComplexPlotPane

Returns the projected coordinate values from the pixel values.

pixelToV(int, int) - Method in class org.mathIT.plot.Plot3DPane

Returns the projected coordinate values from the pixel values.

pixelToX(int, int) - Method in class org.mathIT.plot.ComplexPlotPane

Returns the x-value corresponding to the pixels (p_x,p_y).

pixelToX(int, int) - Method in class org.mathIT.plot.Plot3DPane

returns the x-value corresponding to the pixels (p_x,p_y).

pixelToY(int, int) - Method in class org.mathIT.plot.ComplexPlotPane

Returns the y-value corresponding to the pixels (p_x,p_y).

pixelToY(int, int) - Method in class org.mathIT.plot.Plot3DPane

returns the x-value corresponding to the pixels (p_x,p_y).

Plot3DPane - Class in org.mathIT.plot

An object of this class is a canvas for plotting graphs of three-dimensional function.

Plot3DPane(int, int, String[], Color[], byte[], double, double, double, double, double, double, boolean, boolean, boolean, boolean) - Constructor for class org.mathIT.plot.Plot3DPane

Creates a new 3D plot pane.

PlotPane - Class in org.mathIT.plot

An object of this class is a canvas for plotting graphs of a function depending on one variable.

PlotPane(int, int) - Constructor for class org.mathIT.plot.PlotPane

Creates an empty plot pane.

PlotPane(int, int, String[], Color[], byte[], double, double, double, double, boolean, boolean, boolean, boolean) - Constructor for class org.mathIT.plot.PlotPane

Creates a new plot pane.

plus(Matrix) - Method in class org.mathIT.algebra.Matrix

Returns the sum of this matrix with the given matrix b.

plus(PolynomialZ) - Method in class org.mathIT.algebra.PolynomialZ

Returns the sum this + q of this polynomial and the specified polynomial q.

plus(PolynomialZ, BigInteger) - Method in class org.mathIT.algebra.PolynomialZ

Returns the sum this + q of this polynomial and the specified polynomial q, with coefficients modulo m.

plus(Complex) - Method in class org.mathIT.numbers.Complex

Returns the sum of this number and the complex number z.

plus(Quaternion) - Method in class org.mathIT.numbers.Quaternion

Returns the sum of this number and the quaternion y.

plus(Rational) - Method in class org.mathIT.numbers.Rational

Returns the rational number k = m + n where m is this rational number.

Polynomial - Class in org.mathIT.algebra

This class enables to generate objects representing polynomials with real coefficients.

Polynomial() - Constructor for class org.mathIT.algebra.Polynomial

Creates an empty polynomial with a new ExponentComparator.

Polynomial(ExponentComparator) - Constructor for class org.mathIT.algebra.Polynomial

Creates an empty polynomial with the given ExponentComparator.

polynomial(double) - Method in class org.mathIT.approximation.Interpolation

Returns the value at x of the polynomial interpolating through the given data points, as given by Lagrange's classical formula.

polynomial(double, int) - Method in class org.mathIT.approximation.Regression

computes the value on the regression curve at t.

polynomial(double, double, int) - Method in class org.mathIT.approximation.Regression

computes the value on the regression curve at t and its distance from the confidence limits, if the measurement errors are known.

polynomial(double, double, double, int, int) - Method in class org.mathIT.approximation.Regression

computes the value eta(t) on the regression curve at t and its distance from the confidence limits, if the measurement errors are unknown.

PolynomialZ - Class in org.mathIT.algebra

This class enables to generate objects representing polynomials with integer coefficients.

PolynomialZ() - Constructor for class org.mathIT.algebra.PolynomialZ

Creates an empty polynomial with a new BigExponentComparator.

PolynomialZ(BigExponentComparator) - Constructor for class org.mathIT.algebra.PolynomialZ

Creates an empty polynomial with the given BigExponentComparator.

PolynomialZ(BigInteger, BigInteger) - Constructor for class org.mathIT.algebra.PolynomialZ

Creates a polynomial with a the single term a_e x^e and a new BigExponentComparator.

PolynomialZ(BigInteger, BigInteger, BigExponentComparator) - Constructor for class org.mathIT.algebra.PolynomialZ

Creates a polynomial with a the single term a_e x^e and the given BigExponentComparator.

pow(int) - Method in class org.mathIT.algebra.Matrix

Computes the n-th power of this matrix.

pow(BigDecimal, int) - Static method in class org.mathIT.numbers.BigNumbers

Returns a BigDecimal whose value is xⁿ, using the core algorithm defined in ANSI standard X3.274-1996 with rounding according to the context BigNumbers.MATH_CONTEXT.

pow(Complex) - Method in class org.mathIT.numbers.Complex

Returns z^s where z is this complex number, and s is a complex number.

pow(long, long) - Static method in class org.mathIT.numbers.Numbers

Returns the value of x^e.

pow(double, long) - Static method in class org.mathIT.numbers.Numbers

Returns the value of x^e.

pow2(int) - Static method in class org.mathIT.numbers.Numbers

Returns the value of 2ⁿ.

power(double, Complex) - Static method in class org.mathIT.numbers.Complex

Returns x^s for a real number x and a complex number s.

power(double, double[]) - Static method in class org.mathIT.numbers.Complex

Returns x^s for a real number x and a complex number s.

power(double[], double[]) - Static method in class org.mathIT.numbers.Complex

Returns z^s for two complex numbers z, s.

PRECISION - Static variable in class org.mathIT.numbers.BigNumbers

Maximum precision of BigDecimals, having the value 50.

pred - Variable in class org.mathIT.graphs.WeightedGraph

Successor matrix filled by Bellman-Ford algorithm.

primalityTestAKS(BigInteger) - Static method in class org.mathIT.numbers.BigNumbers

The AKS primality test, returns true if the integer n > 1 is prime.

print(Graphics, PageFormat, int) - Method in class org.mathIT.gui.GraphCanvas

print(Graphics, PageFormat, int) - Method in class org.mathIT.plot.ComplexPlotPane

print(Graphics, PageFormat, int) - Method in class org.mathIT.plot.Plot3DPane

print(Graphics, PageFormat, int) - Method in class org.mathIT.plot.PlotPane

PriorityQueue<V extends Vertible<V>> - Class in org.mathIT.graphs

This class represents a priority queue for an array list of vertices.

PriorityQueue(V[]) - Constructor for class org.mathIT.graphs.PriorityQueue

Creates a priority queue containing the input vertices.

Probability - Class in org.mathIT.statistics

This class provides probabilistic functions such as probability distributions or quantiles.

Protein - Class in org.mathIT.genes

This class represents a protein as a sequence of amino acids.

Protein(String, ArrayList<Character>) - Constructor for class org.mathIT.genes.Protein

Constructor of a protein with the specified name and the specified sequence of amino acids, i.e., the letters A, C, G, T (or U for an RNA protein).

Protein(String, char[]) - Constructor for class org.mathIT.genes.Protein

Constructor of a protein with the specified name and the specified sequence of amino acids, i.e., the letters A, C, G, T (or U for an RNA protein).

Protein(String, CharSequence) - Constructor for class org.mathIT.genes.Protein

Constructor of a protein with the specified name and the specified sequence of amino acids, i.e., the letters A, C, G, T (or U for an RNA protein).

psi(int, double) - Static method in class org.mathIT.approximation.Wavelets

returns the function value of the Daubechies wavelet _Nψ(x) of the Daubechies class DN, where N = 2, 4, ..., 20.

put(Integer, Double) - Method in class org.mathIT.algebra.Polynomial

Adds the term +a_e x^e to this polynomial.

put(BigInteger, BigInteger) - Method in class org.mathIT.algebra.PolynomialZ

Adds the term a_e x^e to this polynomial.

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