absolute value of complex numbers Derivative of absolute value over the complex numbers Ask Question Asked 11 years 5 months ago
Complex numbers negative absolute value radius 30 Absolute value of complex exponential 2 The reason why defining the absolute value in terms of conjugates makes math sense is that the same definition applies in contexts more general than just complex numbers For example that s the same definition used for quaternions and in general for elements of composition algebras
absolute value of complex numbers
absolute value of complex numbers
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This is like considering the absolute value of a negative number 1 1 The absolute value doesn t care which side of 0 you are at just how far So the same goes for complex numbers and we end up having 3i 3 Now 3i 3 does not mean that 3i 3 for the reason that it is simply on a different side of 0 Absolute value of the addition of two complex numbers Ask Question of the exponential of two complex
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The positive value of the number is the effect of taking the absolute value of a real number not the definition of absolute value The actual definition of absolute value is a number s distance from zero This is why the absolute value of a complex number is a positive real number because distance is a real number I asked a question earlier if it was possible to write a complex number as a vector in mathbb R 2 Writing Complex Numbers as a Vector in mathbb R 2 and the answer was yes as mathbb C is isomorphic to mathbb R 2 however one has to be careful with how you choose to write it
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Complex Numbers
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absolute value of complex numbers - Absolute value of complex numbers a bi Hot Network Questions Sets of integers with same sum and same