0
Complex Numbers
The square root of negative one, which we now call the imaginary unit, was once thought to be an absurd notion. However, through the diligent studies of open-minded mathematicians, it was shown that the real numbers were actually just one part of a larger set of numbers known as the complex numbers, the other part being the imaginary numbers. Please direct all questions about these surprisingly useful and applicable numbers into this category.
887 Questions
Square root of a double complex number?
Do you mean like a double floating point number, which is a complex number; or a double matrix type number like in the related link on springerlink.com
complex
How are real numbers imaginary numbers and complex numbers related?
It helps to visualize the numbers on a plane. The complex numbers occupy the entire plane. The real numbers are all the numbers on the horizontal axis, the imaginary numbers are all the numbers on the vertical axis. A complex number thus has a real and an imaginary part, a + bi, where a and be are real numbers (for example, 3 - 2i).
What might be classed as a complex relationship?
The validity of this answer depends on whether or not is has been classified correctly! It has been classified to complex numbers, a rather esoteric part of mathematics and if you were hoping for an explanation in terms of personal relationships, I apologise. The classification was carried out by a bot which is usually pretty accurate but when it gets things wrong ... oh boy, does it get it wrong! That really drives me up the wall! You could say that I have a complex relationship with the bot!
Anyway, a mathematical complex relationship is a mapping from C, the set of all complex numbers, to C.
Answer The world it seems needs hero's so somtimes people take up causes that they know deep down inside that they can't win, but they want to come across as being the hero. What they really want is the attention that goes with being a hero.
What is z plus c math answers?
The answer depends on the values of z and c and since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.
Can a number be real and complex?
Yes. If the number is like, for example, 3+0i, then you'll figure out that the number, though is written as a complex number, is actually a real number 'cause 0i=0 and 3+0=3 so you have both real and complex number. Every number is a complex number, no matter if it's imaginary or real or a combination of both (a+bi).
What do you get when you take the sum of a set of numbers divided by the number of addends?
The sum of a set of numbers divided by the number of addends is the mean average of that set.
In which other fields is the lettr you of imaginary number used?
Imaginary, or more precisely complex numbers (vectors that have a real part and an imaginary part) are used in a variety of fields, including:
- Electrical engineering - in AC, several quantities are best described by complex numbers.
- Quantum physics
- Theoretical math - often, an understanding of complex numbers can even help you better understand real numbers.
- Art - for a start, take a look at the Mandelbrot Set!
- And many others more.
Imaginary, or more precisely complex numbers (vectors that have a real part and an imaginary part) are used in a variety of fields, including:
- Electrical engineering - in AC, several quantities are best described by complex numbers.
- Quantum physics
- Theoretical math - often, an understanding of complex numbers can even help you better understand real numbers.
- Art - for a start, take a look at the Mandelbrot Set!
- And many others more.
Imaginary, or more precisely complex numbers (vectors that have a real part and an imaginary part) are used in a variety of fields, including:
- Electrical engineering - in AC, several quantities are best described by complex numbers.
- Quantum physics
- Theoretical math - often, an understanding of complex numbers can even help you better understand real numbers.
- Art - for a start, take a look at the Mandelbrot Set!
- And many others more.
Imaginary, or more precisely complex numbers (vectors that have a real part and an imaginary part) are used in a variety of fields, including:
- Electrical engineering - in AC, several quantities are best described by complex numbers.
- Quantum physics
- Theoretical math - often, an understanding of complex numbers can even help you better understand real numbers.
- Art - for a start, take a look at the Mandelbrot Set!
- And many others more.
What is the physical significance of complex numbers?
They are frequently used in Engineering applications.
How do you calculate complex number using matrix?
A complex number a + bi, can be represented as a 2x2 matrix:
[a -b]
[b a ]
or
[a b ]
[-b a ] , just keep the same notation throughout your work.
See the wikipedia article on Complex Numbers, and the related link for some more information.
What is another name for absolute value of a complex number?
The absolute value of a complex number is the magnitude of the number, which is found from sqrt(a² + b²) for the complex number a + bi
Could anyone list numbers not in the set of complex numbers?
No. Complex numbers is the highest set of numbers you can go, and there are no sets outside of complex numbers.
Can you factor complex numbers?
Yes. Consider, if you can factor complex numbers, then logically, you should be able to take two complex numbers, multiply them together, and get a third.
That can indeed be done. For example:
(4i + 7)(3i + 2)
= -12 + 8i + 21i + 14
= 29i + 2
Therefore, the complex number 29i + 2 must be divisible by 4i + 7 and 3i + 2.
When were imaginary numbers invented?
Rafael Bombelli defined imaginary numbers in 1572, and Descartes named them 'imaginary' in 1637. It wasn't until the work of Euler in the 1700's that a usefulness for imaginary numbers was found, though. See the Wikipedia articles I linked for some good information on imaginary and complex numbers. I also linked an explanatory video that is pretty good as well.
How do you find out your driving instructors ADI number?
You will need to ask your driving instructor for it, as the DSA doesn't make that information available to the public.
The ADI number is a unique reference given to every DSA approved driving instructor and can be found on the green badge which all legal instructors should dispay while giving paid instruction.
If you are paying for driving lessons, you have a right to ask to see the instructors licence (trainee instructors have a red/Pink badge), if an instructor can't produce one, they maybe operating illegally.
You don't need an ADI number to book a driving test see ADI number and driving test link below, but you should always make sure that you only take driving lessons from instructors who have a valid licence, check both the photos and expiry date, this will ensure you are getting quality tuition and up to date information regarding the driving test.
How can one demonstrate the understanding of real and complex numbers systems?
I would say that you would need to demonstrate that you understand that i is a number which when squared equals -1. Also demonstrate how complex numbers can be represented graphically, both as rectangular coordinates an polar coordinates. Another thing would be an understanding of Euler's relationship: e^(i*Θ) = cos(Θ) + i*sin(Θ). Note that Θ must be in radians for this to work.
If I'm not wrong, sets of numbers are groups of numbers, pairs of numbers, but meant to be together in a certain order, way. When you say, take a set of numbers, 2, 4, 6, 8, 10... You took a group of numbers that are all even numbers. I guess its that, but Im not sure. Hope I helped in some way :)
no,he is not real.he is just a person that they put on a poster.
Why we use j in the impedance of a capacitor Why not any other alphabet?
In ordinary mathematics complex number notation uses the letter i for the square root of -1 to identify the imaginary part of the number.
But in electronics the letter i was already in use for the AC current in the circuit, so the letter j was used for the square root of -1 instead of the letter i to prevent confusion. So in electronics complex number notation uses the letter j.
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.
