Pure Imaginary Number Imaginary numbers can thus be considered as complex numbers where the actual division is zero. Unit Imaginary Number. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. The square of an imaginary number is an nonconstructive real number. How to use imaginary in a sentence. Imaginary definition, existing only in the imagination or fancy; not real; fancied: an imaginary illness; the imaginary animals in the stories of Dr. Seuss. 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. The union of the set of all imaginary numbers and the set of all real numbers is the set of complex numbers. Q ... [] Imaginary Numbers Well i can! A pure imaginary number is any complex number whose real part is equal to 0. Imaginary definition is - existing only in imagination : lacking factual reality. i -3 = i ... [] Pure Imaginary Numbers For any positive real number b, where i is the imaginary unit, and bi is called a pure imaginary number. Can you take the square root of −1? The square root of minus one √(−1) is the "unit" Imaginary Number, the equivalent of 1 for Real Numbers. What does pure imaginary number mean? Imaginary Number – any number that can be written in the form + , where and are real numbers and ≠0. 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. (Note: and both can be 0.) Imaginary numbers are the numbers when squared it gives the negative result. In other words, imaginary numbers are defined as the square root of the negative numbers where it does not have a definite value. definitions - pure imaginary number report a problem. Complex Number – any number that can be written in the form + , where and are real numbers. Synonym Discussion of imaginary. It is mostly written in the form of real numbers multiplied by the imaginary unit called “i”. pure imaginary number (n.) 1. an imaginary number of the form a+bi where a is 0. In mathematics the symbol for √(−1) is i for imaginary. If you're seeing this message, it means we're having trouble loading external resources on our website. See more. Definition of pure imaginary number in the Definitions.net dictionary. ... synonym - definition - dictionary - define - translation - translate - translator - conjugation - anagram. 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 Information and translations of pure imaginary number in the most comprehensive dictionary definitions resource on the web. But in electronics they use j (because "i" already means current, and the next letter after i is j). 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