0
Complete flow chart of a number system of all complex numbers and their real numbers?
Wiki User
∙ 12y ago
I have compiled complex number data in the form of a curvature flow graph or
a conformal mapping of z^z, z to the z power or (x+iy)^(x+iy). x and y are in the
range of +- 10 units. It's quite messy above x=1 so I zoomed in on x<1.
Please see the related link of the graph down below in the Source and Related Links.
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
What kind of number system is a square root?
A square root is not a number system. Square roots of non-negative numbers may be rational or irrational, but they all belong to the set of real numbers. The square roots of negative numbers do not. To include them, the number system needs to be extended to the complex numbers.
What is the difference between a complex number and real number system?
Graphically the difference is quite clear: the real numbers can be put on a line, the so-called number-line; while complex numbers are represented as points on a plane. A complex number is made up of two parts, like a vector in two dimensions.
What are the Uses of natural numbers?
They are used for counting things. Also, they form the basis for the rest of the number system: the integers, rational numbers, irrational numbers, complex numbers, quaternioins.
What is the need for complex numbers?
The square of any real number cannot be negative. However, there are equations whose solutions require the square root of negative numbers. The real number system was extended to the set of complex number to allow such operations. In some ways, this is analogous to the set of integers being extended to the set of rational numbers to allow division (when the denominator was not a factor of the numerator), or the set of rational numbers being extended to real numbers to allow square (and other) roots.
What are numbers expressed in the decimal system?
All real numbers can be represented in the decimal system. Complex numbers can be represented by a pair of numbers in the decimal system.
What is the difference between a complex number and a non real complex number?
Think of the complex numbers as points on a coordinate system. Instead of the usual x-axis you have the real numbers, instead of the y-axis, you have the imaginary numbers.The real numbers are on the horizontal axis.The imaginary numbers are on the vertical axis.The complex numbers are any number on the plane.The non-real complex are, of course, any complex numbers that are not on the real number axis - not on the horizontal axis.Think of the complex numbers as points on a coordinate system. Instead of the usual x-axis you have the real numbers, instead of the y-axis, you have the imaginary numbers.The real numbers are on the horizontal axis.The imaginary numbers are on the vertical axis.The complex numbers are any number on the plane.The non-real complex are, of course, any complex numbers that are not on the real number axis - not on the horizontal axis.Think of the complex numbers as points on a coordinate system. Instead of the usual x-axis you have the real numbers, instead of the y-axis, you have the imaginary numbers.The real numbers are on the horizontal axis.The imaginary numbers are on the vertical axis.The complex numbers are any number on the plane.The non-real complex are, of course, any complex numbers that are not on the real number axis - not on the horizontal axis.Think of the complex numbers as points on a coordinate system. Instead of the usual x-axis you have the real numbers, instead of the y-axis, you have the imaginary numbers.The real numbers are on the horizontal axis.The imaginary numbers are on the vertical axis.The complex numbers are any number on the plane.The non-real complex are, of course, any complex numbers that are not on the real number axis - not on the horizontal axis.
What are the sets of numbers that are part of the complex number system?
Real number set, imaginary number set, and their subsets.
What kind of number system is a square root?
A square root is not a number system. Square roots of non-negative numbers may be rational or irrational, but they all belong to the set of real numbers. The square roots of negative numbers do not. To include them, the number system needs to be extended to the complex numbers.
What is the difference between a complex number and real number system?
Graphically the difference is quite clear: the real numbers can be put on a line, the so-called number-line; while complex numbers are represented as points on a plane. A complex number is made up of two parts, like a vector in two dimensions.
What are the complex number system?
The set of complex numbers consists of real numbers and imaginary numbers (multiples of the square root of -1), and then a combination of the two sets of numbers. Complex numbers are often depicted graphically, with real numbers on the horizontal axis, and imaginary numbers on the vertical axis. See related link for more information.
What are the Uses of natural numbers?
They are used for counting things. Also, they form the basis for the rest of the number system: the integers, rational numbers, irrational numbers, complex numbers, quaternioins.
What are numbers expressed in the decimal system?
All real numbers can be represented in the decimal system. Complex numbers can be represented by a pair of numbers in the decimal system.
What is the need for complex numbers?
The square of any real number cannot be negative. However, there are equations whose solutions require the square root of negative numbers. The real number system was extended to the set of complex number to allow such operations. In some ways, this is analogous to the set of integers being extended to the set of rational numbers to allow division (when the denominator was not a factor of the numerator), or the set of rational numbers being extended to real numbers to allow square (and other) roots.
How do we use complex and imaginary numbers?
Among other things, complex numbers play an important role:* In electrical circuits - quantities in AC circuits are described by complex numbers. * In quantum mechanics - the "probability amplitude" is an important concept in quantum mechanics, and it is described by a complex number. * In art - for example, the Mandelbrot set is based on calculations with complex numbers.
What is -0.567 on the number system?
In the number system , there are decimal numbers, fractions,rational numbers , irrational numbers , negative and positive numbers.-0.567 on the number system is negative number.
What is number system.how integer and real number are stored in memory explain?
The number system consists of real numbers. Real numbers are further divided into rational numbers and irrational numbers. Rational numbers consist of numbers(1-9) and integers(1.5, 3.7, 70.7, etc.) Irrational numbers are complex numbers(square roots of few numbers)
What is a real solution?
There are two types of numbers. The real number system that we use everyday for counting and money and such. There is also the imaginary or complex number system that is used to help evaluate the square roots of negative numbers. A 'real solution' generally means that the solution is one from the real number system. When solving an equation (especially at lower grade levels) the answer might be that there are no real solutions. However there might be complex solutions to the problem.
