Lexic.us

Definition of Imaginary number

1. Noun. (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1.

Definition of Imaginary number

1. Noun. (complex analysis) A number of the form ''ai'', where ''a'' is a real number and ''i'' the imaginary unit ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Imaginary Number

Literary usage of Imaginary number

Below you will find example usage of this term as found in modern and/or classical literature:

1. The American Mathematical Monthly by Mathematical Association of America (1922)
"Probably the most common error, one which persisted in books published as late as 1916, is the definition of an imaginary number as an even root of a ..."

2. College Algebra by Webster Wells (1890)
"An expression is also said to be an imaginary number when it is not a real number, ... Raising to any power whose exponent is a real or imaginary number. 4. ..."

3. The Monist by Hegeler Institute (1894)
"The logarithm of minus i to the base 2 is a purely imaginary number ; the fourth root of minus i is a complex number. Indeed, we may recognise, ..."

4. Elementary Algebra by Herbert Ellsworth Slaught, Nels Johann Lennes (1915)
"Using Principle XVIII we may reduce an imaginary number to the standard form a V— 1, in which a is a real number. Eg v'-4 = v'4 x(- l) = %/4. V^T 208. ..."

5. Advanced Course in Algebra by Webster Wells (1904)
"The symbol -y/— a is called a Pure imaginary number. It is, of course, impossible to find any real number whose nth power equals — a ; but there are many ..."

6. Elementary Mathematical Analysis by John Wesley Young, Frank Millett Morgan (1918)
"Thus V- 2 is an imaginary number; the roots of the quadratic equation z?+ 8 = 0, viz. ± 2V- 2, are imaginary numbers. We have hitherto avoided the use of ..."

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