- Complex number - Wikipedia
Various complex numbers depicted in the complex plane A complex number is an expression of the form a + bi, where a and b are real numbers, and i is an abstract symbol, the so-called imaginary unit, whose meaning will be explained further below For example, 2 + 3i is a complex number [3] For a complex number a + bi, the real number a is called its real part, and the real number b (not the
- Complex random variable - Wikipedia
A typical example of a circular symmetric complex random variable is the complex Gaussian random variable with zero mean and zero pseudo-covariance matrix A complex random variable is circularly symmetric if, for any deterministic , the distribution of equals the distribution of
- Imaginary number - Wikipedia
An imaginary number is the product of a real number and the imaginary unit i, [note 1] which is defined by its property i2 = −1 [1][2] The square of an imaginary number bi is −b2 For example, 5i is an imaginary number, and its square is −25 The number zero is considered to be both real and imaginary [3] Originally coined in the 17th century by René Descartes [4] as a derogatory term
- List of types of numbers - Wikipedia
Algebraic number: Any number that is the root of a non-zero polynomial with rational coefficients Transcendental number: Any real or complex number that is not algebraic Examples include e and π Trigonometric number: Any number that is the sine or cosine of a rational multiple of π Quadratic surd: A root of a quadratic equation with rational coefficients Such a number is algebraic and
- Hypercomplex number - Wikipedia
A definition of a hypercomplex number is given by Kantor Solodovnikov (1989) as an element of a unital, but not necessarily associative or commutative, finite-dimensional algebra over the real numbers
- Imaginary unit - Wikipedia
Imaginary unit The imaginary unit i in the complex plane: Real numbers are conventionally drawn on the horizontal axis, and imaginary numbers on the vertical axis The imaginary unit, usually denoted by i, is a mathematical constant that is a solution to the quadratic equation x2 = −1, which is not solved by any real number
- Algebraic number - Wikipedia
For example, the golden ratio is an algebraic number, because it is a root of the polynomial , i e , a solution to the equation , and the complex number is algebraic because it is a root of the polynomial Algebraic numbers include all integers, rational numbers, and n -th roots of integers
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