The answer is Yes, for the purposes of most Math students. There are, number systems that have been devised which are outside the set of Complex Numbers, though.
The domain can be any set that you like: from the set of complex numbers down to the set comprising just one number, eg {7.39}.
No. An irrational number is still a real number - it lives on the number line.The square root of -1 (known as i) is an imaginary number. It is on the imaginary axis of the complex plane.A number with components from the real axis and the imaginary axis is a complex number, and is on the complex plane.
No, it is not irrational because it is a square root of a negative number - which falls into the set of Complex numbers. Irrational numbers can not have an imaginary component.
Yes. Every integer is a rational number. Every rational number is a real number. Every real number is a complex number. The complex numbers include all real numbers and all real numbers multiplied by the imaginary number i=sqrt(-1) and all the sums of these.
The set of real numbers is a subset of the set of complex numbers. For the set of complex numbers, given in the form (a + bi), where a and b can be any real number, the number is only a real number, if b = 0.
The set of complex numbers is the set of numbers which can be described by a + bi, where a and b are real numbers, and i is the imaginary unit sqrt(-1). Since a and b can be any real number (including zero), the set of real numbers is a subset of the set of complex numbers. Also the set of pure imaginary numbers is a subset of complex number set.
Elements of the set C denote complex numbers.
The set of complex numbers.
Real number set, imaginary number set, and their subsets.
The set of real numbers are a subset of the set of complex numbers: imagine the complex plane with real numbers existing on the horizontal number line, and pure imaginary existing on the vertical axis. The entire plane (which includes both axes) is the set of complex numbers. So any real number (such as pi) will also be a complex number. But many people think of complex numbers as something that is "not a real number".
No difference. The set of complex numbers includes the set of imaginary numbers.
Complex numbers are numbers of the form (x + yi) where x and y are real numbers and i is the imaginary square root of -1. Any collection of such numbers is a set of complex numbers.
The number -4 belongs to the set of all integers. It also belongs to the rationals, reals, complex numbers.
CISC (complex instruction set computing)
The set of Real NumbersThe set of Imaginary Numbers
All irrational numbers, complex number and so on.