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Actually there are several methods.
- The most commonly used method is in rectangular coordinates, that is, specifying the real and the imaginary part separately.
- This is usually written as a + bi, where a and b are real numbers; for example: 5 + 3i, or 3 - 2i.
- In electricity, "i" is a symbol for instantaneous current; so, to avoid confusion, the symbol "j" is used instead. Also, it is considered an operator, and written in front of the imaginary part. Examples; 5 + j3, or 3 - j2.
- Multiplication, division, and especially exponentiation and radication, are simpler when the complex number is in polar coordinates. That is, an absolute value and an angle.
- This might be written, for example, as 5 (angle symbol) 30 degrees, as is common in electricity.
- In pure math, the equivalent exponential notation is used instead; and the angle is expressed in radians: reia, where r is the absolute value, and a is the angle (often some Greek letter is used for the angle, such as thetha, or phi).
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Do the complex numbers for a group under binary operation ' plus '?
Yes, the complex numbers, as well as the real numbers which are a subset of the complex numbers, form groups under addition.
What are set of complex number?
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.
What are imaginary numbers of the form a bi and a-bi?
Those are both 'complex' numbers. Together, they are a pair of complex conjugates.
Can a complex number be imaginary?
Yes, imaginary numbers are a subset of complex numbers.
What are considered complex numbers?
A complex number is any number that can be represented in the form of a+bi, the real numbers are a and b, the imaginary number is i. Complex numbers are used in scientific and engineering fields.
Do the complex numbers for a group under binary operation ' plus '?
Yes, the complex numbers, as well as the real numbers which are a subset of the complex numbers, form groups under addition.
What mathematician introduced complex numbers?
Gerolamo Cardano is an Italian mathematician who introduced complex numbers. Complex numbers are those that can be expressed in the form of a+bi where a and b represent real numbers.
What are set of complex number?
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.
What are imaginary numbers of the form a bi and a-bi?
Those are both 'complex' numbers. Together, they are a pair of complex conjugates.
Can a complex number be imaginary?
Yes, imaginary numbers are a subset of complex numbers.
What are considered complex numbers?
A complex number is any number that can be represented in the form of a+bi, the real numbers are a and b, the imaginary number is i. Complex numbers are used in scientific and engineering fields.
What contains real numbers?
Real numbers form a proper subset of the set of complex numbers.
Is a complex number a number that can be written in the form a plus bi where a and b are real numbers?
Yes, a+bi is standard form for a complex number. The numbers (a) and (b) are both real and i is √(-1)
Why are complex numbers imaginary?
An imaginary number has the form b*i, where b is any real number, and i is the imaginary unit number sqrt(-1). A complex number is in the form a + b*i, where a and b are any real number. Complex numbers are called complex, because they combine numbers from the real domain and the imaginary domain.I thought the Wikipedia article was very good. Also, Answers.com has a video about complex and imaginary numbers.
What is the difference between a set of real numbers and a set of complex numbers?
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.
What are complex decimals?
They are numbers in the complex field where the two components - the real and imaginary parts - are expressed in decimal form.
What is the exponential form of complex numbers?
Complex numbers can be represented as reiƟ, where r is the distance from the origin, and Ɵ is the angle (in radians) with the positive real-axis (horizontal axis).
