单词	imaginary number
释义	imaginary number noun : a complex number (such as 2 + 3i) in which the coefficient of the imaginary unit is not zero called also imaginary compare pure imaginary Example Sentences Recent Examples on the Web Because no real number x satisfies the equation x2+ 1 = 0, mathematicians built a new number system—now known as the complex numbers—by adding an imaginary number i and imposing the stipulation that i2 + 1= 0. Emily Riehl, Scientific American, 17 Sep. 2021 Math has many important constants that give the discipline structure, like pi and i, the imaginary number equal to the square root of -1. Avery Thompson, Popular Mechanics, 2 Mar. 2021 That’s an appropriate label, because an imaginary number consists of the square root of a negative number, which by definition does not exist. John Horgan, Scientific American, 7 Jan. 2021 The wave function has embedded within it an imaginary number. John Horgan, Scientific American, 7 Jan. 2021 Each of these energy levels, En, corresponds to a zero of the form Zn = ½ + iEn, which has a real part equal to ½ and an imaginary part formed by multiplying En by the imaginary number i. Quanta Magazine, 4 Apr. 2017 The symmetries of these matrices usually guarantee that imaginary numbers cancel out and the eigenvalues are real, so that these matrices make sense as descriptions of physical systems. Quanta Magazine, 4 Apr. 2017 If imaginary numbers have always seemed strange to you, prepare for a change in perspective. Quanta Magazine, 14 Feb. 2019 For example, the solutions to x5 = 1 are five points on a circle when plotted onto a graph comprised of real numbers along one axis and imaginary numbers on the other. Davide Castelvecchi, Scientific American, 20 Mar. 2018 See More Word History First Known Use 1798, in the meaning defined above
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