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.
Using superposition theorem.
To do calculations using complex numbers.
you answer me
Yes, you can take the logarithm of an imaginary number, but it's more complex than with real numbers. The logarithm of a complex number, including imaginary numbers, is defined using the polar form of the number. For an imaginary number like ( bi ) (where ( b ) is real), the logarithm can be expressed as ( \ln|b| + i\arg(b) ), where ( \arg(b) ) is the argument (angle) of the complex number in the complex plane. Thus, the result will also be a complex number.
Not sure about the Casio, but most calculators which have capability to handle complex numbers should be similar. Input the complex number according to however you normally do that, then raise to a power. In the case of roots, you want to raise to a reciprocal power: Square root is 0.5 power, cube root is 1/3 power, fourth root is 0.25 power, etc
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3 simple steps. i) press square root button ii) enter the number iii) hit "=" is it really that hard to figure out? ...... For complex numbers, refer to the definition of a complex number (abs(a)*exp(-j*angle(a)))1/2 = sqrt(abs(a))*exp(-j*angle(a)/2). therefore to do this on the casio fx-991ms try the following(assuming the complex number is stored in the ans): (sqrt(abs ans))[angle symbol]((arg ans)/2) added by Greg ......
To calculate the molar volume of a substance, you divide the volume of the substance by the number of moles present. This can be done using the formula: Molar Volume Volume / Number of Moles.
To convert the complex number 4 to polar form, you first need to represent it in the form a + bi, where a is the real part and b is the imaginary part. In this case, 4 can be written as 4 + 0i. Next, you calculate the magnitude of the complex number using the formula |z| = sqrt(a^2 + b^2), which in this case is |4| = sqrt(4^2 + 0^2) = 4. Finally, you find the argument of the complex number using the formula theta = arctan(b/a), which in this case is theta = arctan(0/4) = arctan(0) = 0. Therefore, the polar form of the complex number 4 is 4(cos(0) + i sin(0)), which simplifies to 4.
Number of coils of what? Maybe wire in an electromagnet? Please resubmit the question with more detail.
Given that absolute values are always positive, and that there is no equivalence between complex numbers and real numbers, I would have to say no, there isn't. The absolute value of a real number is its distance from zero on a number line. Since a distance is always positive, we say the absolute value is always positive. Graphically, a real number is just a point on a number line. The absolute value of a complex number is its distance form the origin in a coordinate plane, where coordinate axes are the x-axis with real numbers, and the y-axis with imaginary numbers. In this diagram, called Argand diagram, a complex number a + bi (where a and b are real numbers) is the point (a, b) or the vector from the origin to the point (a, b). Using the distance formula, the absolute value or the distance of a complex number a + bi is equal to the principal square root of (a2 + b2).