A complex number, equations and graphs can show electromagnetic forces-for instance two wires carrying current. A formula like (z-1)/(z+1) can show the fields around two parallel wires.
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.
The ratio of two quantities need not itself be a rational number - it can be a complex number.
A number multiplied by its complex conjugate will result in a real number. Also, adding a number to its conjugate will result in a real number. But typically the multiplication is what is used.
It can be used as a convenient shortcut to calculate the absolute value of the square of a complex number. Just multiply the number by its complex conjugate.I believe it has other uses as well.
You can use another complex number, a real number or an imaginary number. Complex number equations make interesting images. The link shows the image produced by (z-1)/(z+1) and inverses the checkerboard around two points.
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Adjoint operator of a complex number?
One operation that is used a lot in quantum mechanics is taking the absolute value of the square of a complex number. This is equivalent to multiplying the complex number by its complex conjugate - and doing this is simpler in practice.
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
Yes. And since Real numbers are a subset of complex numbers, a complex number can also be a pure real.Another AnswerYes, for example: (0 + j5) is a complex number, whose 'real' number is zero.
You get a complex number unless the real number happens to be 0 or 1.
Yes and it is z=x+iy