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A

abs() - Method in class org.apache.commons.numbers.complex.Complex

Returns the absolute value of this complex number.

acos() - Method in class org.apache.commons.numbers.complex.Complex

Returns the inverse cosine of this complex number.

acosh() - Method in class org.apache.commons.numbers.complex.Complex

Returns the inverse hyperbolic cosine of this complex number.

add(double) - Method in class org.apache.commons.numbers.complex.Complex

Returns a Complex whose value is (this + addend), with addend interpreted as a real number.

add(Complex) - Method in class org.apache.commons.numbers.complex.Complex

Returns a Complex whose value is (this + addend).

addImaginary(double) - Method in class org.apache.commons.numbers.complex.Complex

Returns a Complex whose value is (this + addend), with addend interpreted as an imaginary number.

arg() - Method in class org.apache.commons.numbers.complex.Complex

Returns the argument of this complex number.

asin() - Method in class org.apache.commons.numbers.complex.Complex

Returns the inverse sine of this complex number.

asinh() - Method in class org.apache.commons.numbers.complex.Complex

Returns the inverse hyperbolic sine of this complex number.

atan() - Method in class org.apache.commons.numbers.complex.Complex

Returns the inverse tangent of this complex number.

atanh() - Method in class org.apache.commons.numbers.complex.Complex

Returns the inverse hyperbolic tangent of this complex number.

C

Complex - Class in org.apache.commons.numbers.complex

Cartesian representation of a complex number.

conj() - Method in class org.apache.commons.numbers.complex.Complex

Returns the conjugate \( \overline{z} \) of this complex number \( z \).

cos() - Method in class org.apache.commons.numbers.complex.Complex

Returns the cosine of this complex number.

cosh() - Method in class org.apache.commons.numbers.complex.Complex

Returns the hyperbolic cosine of this complex number.

D

divide(double) - Method in class org.apache.commons.numbers.complex.Complex

Returns a Complex whose value is (this / divisor), with divisor interpreted as a real number.

divide(Complex) - Method in class org.apache.commons.numbers.complex.Complex

Returns a Complex whose value is (this / divisor).

divideImaginary(double) - Method in class org.apache.commons.numbers.complex.Complex

Returns a Complex whose value is (this / divisor), with divisor interpreted as an imaginary number.

E

equals(Object) - Method in class org.apache.commons.numbers.complex.Complex

Test for equality with another object.

exp() - Method in class org.apache.commons.numbers.complex.Complex

Returns the exponential function of this complex number.

G

getImaginary() - Method in class org.apache.commons.numbers.complex.Complex

Gets the imaginary part \( b \) of this complex number \( (a + i b) \).

getReal() - Method in class org.apache.commons.numbers.complex.Complex

Gets the real part \( a \) of this complex number \( (a + i b) \).

H

hashCode() - Method in class org.apache.commons.numbers.complex.Complex

Gets a hash code for the complex number.

I

I - Static variable in class org.apache.commons.numbers.complex.Complex

A complex number representing \( i \), the square root of \( -1 \).

imag() - Method in class org.apache.commons.numbers.complex.Complex

Gets the imaginary part \( b \) of this complex number \( (a + i b) \).

isFinite() - Method in class org.apache.commons.numbers.complex.Complex

Returns true if both real and imaginary component of the complex number are finite.

isInfinite() - Method in class org.apache.commons.numbers.complex.Complex

Returns true if either real or imaginary component of the complex number is infinite.

isNaN() - Method in class org.apache.commons.numbers.complex.Complex

Returns true if either the real or imaginary component of the complex number is NaN and the complex number is not infinite.

L

log() - Method in class org.apache.commons.numbers.complex.Complex

Returns the natural logarithm of this complex number.

log10() - Method in class org.apache.commons.numbers.complex.Complex

Returns the base 10 common logarithm of this complex number.

M

multiply(double) - Method in class org.apache.commons.numbers.complex.Complex

Returns a Complex whose value is this * factor, with factor interpreted as a real number.

multiply(Complex) - Method in class org.apache.commons.numbers.complex.Complex

Returns a Complex whose value is this * factor.

multiplyImaginary(double) - Method in class org.apache.commons.numbers.complex.Complex

Returns a Complex whose value is this * factor, with factor interpreted as an imaginary number.

N

negate() - Method in class org.apache.commons.numbers.complex.Complex

Returns a Complex whose value is the negation of both the real and imaginary parts of complex number \( z \).

norm() - Method in class org.apache.commons.numbers.complex.Complex

Returns the squared norm value of this complex number.

nthRoot(int) - Method in class org.apache.commons.numbers.complex.Complex

Returns the n-th roots of this complex number.

O

ofCartesian(double, double) - Static method in class org.apache.commons.numbers.complex.Complex

Create a complex number given the real and imaginary parts.

ofCis(double) - Static method in class org.apache.commons.numbers.complex.Complex

Create a complex cis number.

ofPolar(double, double) - Static method in class org.apache.commons.numbers.complex.Complex

Creates a complex number from its polar representation using modulus rho (\( \rho \)) and phase angle theta (\( \theta \)). \[ \begin{aligned} x &= \rho \cos(\theta) \\ y &= \rho \sin(\theta) \end{aligned} \]

ONE - Static variable in class org.apache.commons.numbers.complex.Complex

A complex number representing one.

org.apache.commons.numbers.complex - package org.apache.commons.numbers.complex

Complex numbers.

P

parse(String) - Static method in class org.apache.commons.numbers.complex.Complex

Returns a Complex instance representing the specified string s.

pow(double) - Method in class org.apache.commons.numbers.complex.Complex

Returns the complex power of this complex number raised to the power of x, with x interpreted as a real number.

pow(Complex) - Method in class org.apache.commons.numbers.complex.Complex

Returns the complex power of this complex number raised to the power of x.

proj() - Method in class org.apache.commons.numbers.complex.Complex

Returns the projection of this complex number onto the Riemann sphere.

R

real() - Method in class org.apache.commons.numbers.complex.Complex

Gets the real part \( a \) of this complex number \( (a + i b) \).

S

sin() - Method in class org.apache.commons.numbers.complex.Complex

Returns the sine of this complex number.

sinh() - Method in class org.apache.commons.numbers.complex.Complex

Returns the hyperbolic sine of this complex number.

sqrt() - Method in class org.apache.commons.numbers.complex.Complex

Returns the square root of this complex number.

subtract(double) - Method in class org.apache.commons.numbers.complex.Complex

Returns a Complex whose value is (this - subtrahend), with subtrahend interpreted as a real number.

subtract(Complex) - Method in class org.apache.commons.numbers.complex.Complex

Returns a Complex whose value is (this - subtrahend).

subtractFrom(double) - Method in class org.apache.commons.numbers.complex.Complex

Returns a Complex whose value is (minuend - this), with minuend interpreted as a real number.

subtractFromImaginary(double) - Method in class org.apache.commons.numbers.complex.Complex

Returns a Complex whose value is (this - subtrahend), with minuend interpreted as an imaginary number.

subtractImaginary(double) - Method in class org.apache.commons.numbers.complex.Complex

Returns a Complex whose value is (this - subtrahend), with subtrahend interpreted as an imaginary number.

T

tan() - Method in class org.apache.commons.numbers.complex.Complex

Returns the tangent of this complex number.

tanh() - Method in class org.apache.commons.numbers.complex.Complex

Returns the hyperbolic tangent of this complex number.

toString() - Method in class org.apache.commons.numbers.complex.Complex

Returns a string representation of the complex number.

Z

ZERO - Static variable in class org.apache.commons.numbers.complex.Complex

A complex number representing zero.

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