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  2. Imaginary number - Wikipedia

    en.wikipedia.org/wiki/Imaginary_number

    An imaginary number is the product of a real number and the imaginary unit i, [note 1] which is defined by its property i 2 = −1. [1] [2] The square of an imaginary number bi is −b 2. For example, 5i is an imaginary number, and its square is −25. The number zero is considered to be both real and imaginary. [3]

  3. List of types of numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_numbers

    All rational numbers are real, but the converse is not true. Irrational numbers (): Real numbers that are not rational. Imaginary numbers: Numbers that equal the product of a real number and the imaginary unit , where =. The number 0 is both real and imaginary.

  4. Complex number - Wikipedia

    en.wikipedia.org/wiki/Complex_number

    For the complex number +, a is called the real part, and b is called the imaginary part. The set of complex numbers is denoted by either of the symbols C {\displaystyle \mathbb {C} } or C . Despite the historical nomenclature, "imaginary" complex numbers have a mathematical existence as firm as that of the real numbers, and they are fundamental ...

  5. Imaginary unit - Wikipedia

    en.wikipedia.org/wiki/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 or unit imaginary number (i) is a solution to the quadratic equation x 2 + 1 = 0. Although there is no real number with this property, i can be used to extend the real numbers to ...

  6. Complex plane - Wikipedia

    en.wikipedia.org/wiki/Complex_plane

    In mathematics, the complex plane is the plane formed by the complex numbers, with a Cartesian coordinate system such that the horizontal x-axis, called the real axis, is formed by the real numbers, and the vertical y-axis, called the imaginary axis, is formed by the imaginary numbers.

  7. Imaginary time - Wikipedia

    en.wikipedia.org/wiki/Imaginary_time

    Stephen Hawking popularized the concept of imaginary time in his book The Universe in a Nutshell. "One might think this means that imaginary numbers are just a mathematical game having nothing to do with the real world. From the viewpoint of positivist philosophy, however, one cannot determine what is real. All one can do is find which ...

  8. What are angel numbers? Why numbers like 111 and 222 are ...

    www.aol.com/news/angel-numbers-why-numbers-111...

    Look beyond the stigma associated with the number 666 — really, this number signals compassion and self-love. Treat people with kindness by sharing a smile, compliment or going out of your way ...

  9. Mathematical constant - Wikipedia

    en.wikipedia.org/wiki/Mathematical_constant

    Real numbers lie on the horizontal axis, and imaginary numbers lie on the vertical axis. The imaginary unit or unit imaginary number, denoted as i, is a mathematical concept which extends the real number system to the complex number system . The imaginary unit's core property is that i 2 = −1.