tracks/kotlin/exercises/complex-numbers/README.md in trackler-2.2.1.45 vs tracks/kotlin/exercises/complex-numbers/README.md in trackler-2.2.1.46
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# Complex Numbers
A complex number is a number in the form `a + b * i` where `a` and `b` are real and `i` satisfies `i^2 = -1`.
+`a` is called the real part and `b` is called the imaginary part of `z`.
+The conjugate of the number `a + b * i` is the number `a - b * i`.
+The absolute value of a complex number `z = a + b * i` is a real number `|z| = sqrt(a^2 + b^2)`. The square of the absolute value `|z|^2` is the result of multiplication of `z` by its complex conjugate.
+
+The sum/difference of two complex numbers involves adding/subtracting their real and imaginary parts separately:
+`(a + i * b) + (c + i * d) = (a + c) + (b + d) * i`,
+`(a + i * b) - (c + i * d) = (a - c) + (b - d) * i`.
+
+Multiplication result is by definition
+`(a + i * b) * (c + i * d) = (a * c - b * d) + (b * c + a * d) * i`.
+
+The reciprocal of a non-zero complex number is
+`1 / (a + i * b) = a/(a^2 + b^2) - b/(a^2 + b^2) * i`.
+
+Dividing a complex number `a + i * b` by another `c + i * d` gives:
+`(a + i * b) / (c + i * d) = (a * c + b * d)/(c^2 + d^2) + (b * c - a * d)/(c^2 + d^2) * i`.
+
+Exponent of a complex number can be expressed as
+`exp(a + i * b) = exp(a) * exp(i * b)`,
+and the last term is given by Euler's formula `exp(i * b) = cos(b) + i * sin(b)`.
+
+
+Implement the following operations:
+ - addition, subtraction, multiplication and division of two complex numbers,
+ - conjugate, absolute value, exponent of a given complex number.
+
+
Assume the programming language you are using does not have an implementation of complex numbers.
## Source