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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]
Imaginary numbers: Numbers that equal the product of a real number and the imaginary unit , where =. The number 0 is both real and imaginary. Complex numbers (): Includes real numbers, imaginary numbers, and sums and differences of real and imaginary numbers.
Imaginary may refer to: Imaginary (sociology), a concept in sociology; The Imaginary (psychoanalysis), a concept by Jacques Lacan; Imaginary number, a concept in ...
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 ...
The last shot of "Imaginary" leaves the door open for a sequel — the power of the imaginary friend is still present. We don't know for sure if we'll see more of Chauncey in the future, but we ...
A decade ago, legendary director Hayao Miyazaki retired, sending Studio Ghibli’s team of animators to seek employment elsewhere. Those were dark, uncertain times for the industry, which explains ...
Cinemagoers seated early for “Five Nights at Freddy’s” are treated to a new kind of movie advertisement: one that tells viewers not to look at the screen. The trailer, a theaters-only promo ...
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 .