Complex Numbers Articles

Tag Archive for: complex numbers

complex numbers

Fixing Things Which Can Go Wrong With Complex Numbers

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Abstract This article will build on the hints about treating the complex numbers as a branched surface, briefly described and pictured in section 4.2…
complex numbers views

Views On Complex Numbers

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Abstract Why do we need yet another article about complex numbers? This is a valid question and I have asked it myself. I could mention that I wanted…
complexmath

Hear the Case for Learning Complex Math

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Resistance to complex math seems to never die out.  I see it frequently in PF posts.  Often it takes the form of challenges rather than questions. …
complexexponents

Exponents Explained: Irrational and Imaginary Powers

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What Is the General Definition of Exponentiation? Exponentiation is defined for all real and imaginary exponents using the formula xy = ey ln(x), where…
complexnumbers

Complex Number Paradoxes Explained: Why Exponent Rules Fail

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Complex exponentiation breaks the familiar high-school rules for powers because those rules — (x^a)^b = x^ab, (xy)^a = x^a y^a, and x^a = x^b ⇒ a =…