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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]
formerly "imaginary" character in Sesame Street. He is Big Bird's friend and was perceived as imaginary for many years until it was decided that he be revealed to the rest of the show's cast on November 18, 1985 in Season 17, episode 2096 Soren Lorenson, Lola's imaginary friend in the book and television series Charlie and Lola: Spiny Norman
For example, the first few powers of the imaginary unit i are , =, =, =, =, …. Geometric representation of the 2nd to 6th roots of a complex number z, in polar form re iφ where r = |z | and φ = arg z. If z is real, φ = 0 or π. Principal roots are shown in black.
The imaginary unit or unit imaginary number (i) is a mathematical constant that 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 what are called complex numbers, using addition and multiplication. A simple example of the use of i in a complex ...
In Worlds of Wonder, Gerrold describes two examples from Ringworld: scrith, strong enough to be used to build a ring 3×10 8 km in diameter; and a character deliberately bred for luck. Gerrold calls bolognium "technobabble", and cautions against overusing it, or using it carelessly; doing so harms the illusion of reality which good sci-fi needs ...
For example, Middle-earth is only a region of Arda in J. R. R. Tolkien's fictional universe, but it is far better known. ... Building Imaginary Worlds: ...
This is a list of fictional countries from published works of fiction (books, films, television series, games, etc.). Fictional works describe all the countries in the following list as located somewhere on the surface of the Earth as opposed to underground, inside the planet, on another world, or during a different "age" of the planet with a different physical geography.
For example, acting is a profession which predicates real jobs on fictional premises. Charades is a game people play by guessing imaginary objects from short play-acts. Imaginary personalities and histories are sometimes invented to enhance the verisimilitude of fictional universes, and/or the immersion of role-playing games. In the sense that ...