Imaginary number definition is - a complex number (such as 2 + 3i) in which the coefficient of the imaginary unit is not zero —called also imaginary. Imaginary definition, existing only in the imagination or fancy; not real; fancied: an imaginary illness; the imaginary animals in the stories of Dr. Seuss. Table 2: Formulae forthe argument of acomplex number z = x+iy when z is real or pure imaginary. The square root of minus one √(−1) is the "unit" Imaginary Number, the equivalent of 1 for Real Numbers. Learn about the imaginary unit i, about the imaginary numbers, and about square roots of negative numbers. In other words, imaginary numbers are defined as the square root of the negative numbers where it does not have a definite value. An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i 2 = −1. Well i can! Complex Number – any number that can be written in the form + , where and are real numbers. pure imaginary number (n.) 1. an imaginary number of the form a+bi where a is 0. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. In mathematics the symbol for √(−1) is i for imaginary. Q ... [] Imaginary Numbers (Note: and both can be 0.) Information and translations of pure imaginary number in the most comprehensive dictionary definitions resource on the web. By convention, the principal value of the argument satisfies −π < Arg z ≤ π. Quadrant border type of complex number z Conditions on x and y Arg z IV/I real and positive x > 0, y = 0 0 I/II pure imaginary with Im z > 0 x = 0, y > 0 1 2 π Synonym Discussion of imaginary. What does pure imaginary number mean? But in electronics they use j (because "i" already means current, and the next letter after i is j). Unit Imaginary Number. Can you take the square root of −1? Imaginary definition is - existing only in imagination : lacking factual reality. Meaning of pure imaginary number. If you're seeing this message, it means we're having trouble loading external resources on our website. A pure imaginary number is any complex number whose real part is equal to 0. See more. ... synonym - definition - dictionary - define - translation - translate - translator - conjugation - anagram. Definition of pure imaginary number in the Definitions.net dictionary. Pure Imaginary Number Imaginary numbers can thus be considered as complex numbers where the actual division is zero. definitions - pure imaginary number report a problem. The square of an imaginary number bi is −b 2.For example, 5i is an imaginary number, and its square is −25.By definition, zero is considered to be both real and imaginary. The union of the set of all imaginary numbers and the set of all real numbers is the set of complex numbers. 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