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"The study of complex numbers and their characteristics has a long history. \
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symbol\[LongDash]the imaginary unit ",
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"which describe the main characteristics of the complex number ",
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"A new era in the theory of complex numbers and functions of complex \
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This is known as the Euler formula (although it was already derived by R. \
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It also expressed the logarithm of complex numbers through the formula:\
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"During the 18th and 19th centuries many mathematicians worked on building \
the theory of the functions of complex variables, which was called the theory \
of analytic functions. Today this is a widely used theory, not only for the \
above\[Hyphen]mentioned four complex components (absolute value, argument, \
real and imaginary parts), but for complimentary characteristics of a complex \
number ",
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It was shown that the set of complex numbers and the set of real numbers have \
basic properties in common\[LongDash]they both are fields because they \
satisfy so-called field axioms. Complex and real numbers exhibit \
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All other complex components are defined by the following formulas: \
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.2535 .52808 m .24369 .51731 L .25599 .5157 L F
.2535 .52808 m .24114 .53024 L .24369 .51731 L F
.229 .103 .789 r
.67782 .50268 m .68925 .50434 L .69269 .50926 L F
.6741 .498 m .68925 .50434 L .67782 .50268 L F
1 .592 .704 r
.18885 .56833 m .17691 .5566 L .18951 .55384 L F
.18885 .56833 m .17628 .57161 L .17691 .5566 L F
.229 .