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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
Can you figure out two complex numbers that when mulitplied together become a real number?
3 and 5 are both complex numbers, and if you multiply them together, you get 15, which is a real number.
If you were looking for two non-real complex numbers, then any pair of complex conjugates will work. For example, 5+2i times 5-2i is 29.
What three words equal 25 if a equals 1 b equals 2 c equals 3 and so on?
A big cab. That one works, with numbers 1, 2, 9, 7, 3, 1, 2.
There are likely quite a few more, that's just one I found.
Who introduce complex numbers?
It's hard to say. The concept is very old. I would start with the related link article on Wikipedia.
What is the square root of a value that is called an imaginary or complex number?
The square root of i=(i)^.5 = .707+.707i
How many careers use imaginary numbers?
There are many but some are electrical, civil and even weather. Complex formulas
can help map pictures of weather turbulance. Refer to the Related Link for an image.
What are complex or imaginary numbers?
An imaginary number is a number, which when squared, gives a negative real number. Any positive or negative real number, when squared, will give a positive real number. Imaginary numbers were originally conceived (around the 1500's) to provide solutions to equations which required there be a solution to the square root of a negative real number. Originally, that was the only purpose that they served, so they were given the term imaginary. The imaginary numbers were shown to be graphically at a 90° angle to real numbers. Complex numbers are the combination of real and imaginary numbers, and can be plotted graphically on a complex plane, just like you would plot x and y coordinates on a regular 2-dimensional plane.
Through the work of Euler in the 1700's and others, a relationship between imaginary numbers and the behavior of waves and oscillating motion was worked out. See related link for some interesting information about imaginary and complex numbers.
How do you write 240 million in standard form?
To write 240 million in standard form, you would express it as 2.4 x 10^8. This is because the number 240 million can be broken down into 2.4 multiplied by 100 million (10^8). Standard form is a way of writing large numbers using powers of 10 to represent the value.
Is chanel number 10218484 real?
Most likely no. TV channels will probably only hold 2 to 3 dights. I haven't seen a TV with 4+ dights.
What is a specific number set as a goal?
A specific number set as a goal is typically referred to as a target or a benchmark. In various contexts, such as in education, business, or sports, setting a specific numerical goal helps individuals or organizations track progress and measure success. These goals are often SMART (Specific, Measurable, Achievable, Relevant, Time-bound) to ensure they are clear and attainable.
What are the six steps of complex division?
1. Divide
2. Multiply (compare)
3. Subtract
4. Compare
5. Bring down
6. Start over
Similar factions are fraction that have the same denominator ^^
How are complex numbers and real numbers related?
Complex numbers extend the concept of real numbers by introducing an imaginary unit, denoted as "i." Real numbers can be considered a subset of complex numbers with the imaginary part equal to zero. Complex numbers include both a real and imaginary component, allowing for operations like addition, subtraction, multiplication, and division.
What is the first step when dividing complex numbers?
You multiply both the numerator and denominator my the complex conjugate of the denominator. For example if you have. a+bi/c+di you would multiply both the top and bottom by c-di. This is in effect multiplying by 1.
Mapping of complex numbers in complex plane?
In the complex plane, each complex number is represented by a point, with the real part as the x-coordinate and the imaginary part as the y-coordinate. The mapping of complex numbers in the complex plane allows us to visualize operations like addition, subtraction, multiplication, and division geometrically. It also enables us to study properties such as modulus, argument, and conjugate of complex numbers.
How zeros are in a bicentillion?
A: "bicentillion" doesn't exist, I think you mean: centillion, or here in Britan a vigintillion, a vigintillion has 120 zeros after it and a centillion has 303 zeros after it.
Gang-nam is a city in south Korea where Psy was raised it translates into English as city south of river it is a business city but Psy claims the style there is dress classy act cheesy
so when Psy says Gang-nam style he means in the style of the people of Gang-nam
What are the applications of complex numbers in civil engineering and building?
This is a rather loose application. The related link shows the fluid flow field of two
water sources near each other.
Refer to related link down below.
How to calculate sum of two complex number in c plus plus?
typedef struct complex {
double real, imag;
} complex;
...
complex x, y, z;
...
/* add */
z.real = x.real + y.real;
z.imag = x.imag + y.imag;
/* sub */
z.real = x.real - y.real;
z.imag = x.imag - y.imag;
/* mul */
z.real = x.real*y.real - x.imag*y.imag;
z.imag =x.imag*y.real + x.real*y.imag;
/* div */
double d = y.real*y.real + y.imag*y.imag;
z.real = (x.real*y.real + x.imag*y.imag)/d;
z.imag = (x.imag*y.real - x.real*y.imag)/d;
The conjugate of a complex number can be found by multiplying the imaginary part by -1, then adding the "real" part back. (-2i) * -1 = 2i, so the conjugation is 7+2i
