Furthermore, just as real numbers can be seen as multiples of an essentially undefined quantity called the unit number (1), so imaginary numbers are multiples of the imaginary unit (). Imaginary numbers are not real numbers in the mathematical sense, nor in the "real world" sense of representing any physical length, area, volume, etc. However, they are useful in the mathematical modeling of various physical phenomena, such as electromagnetism and signal processing, and are still considered true numbers thus can still be considered "real" in a practical, abstract sense (since all numbers are abstractions to begin with).
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| - Furthermore, just as real numbers can be seen as multiples of an essentially undefined quantity called the unit number (1), so imaginary numbers are multiples of the imaginary unit (). Imaginary numbers are not real numbers in the mathematical sense, nor in the "real world" sense of representing any physical length, area, volume, etc. However, they are useful in the mathematical modeling of various physical phenomena, such as electromagnetism and signal processing, and are still considered true numbers thus can still be considered "real" in a practical, abstract sense (since all numbers are abstractions to begin with).
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abstract
| - Furthermore, just as real numbers can be seen as multiples of an essentially undefined quantity called the unit number (1), so imaginary numbers are multiples of the imaginary unit (). Imaginary numbers are not real numbers in the mathematical sense, nor in the "real world" sense of representing any physical length, area, volume, etc. However, they are useful in the mathematical modeling of various physical phenomena, such as electromagnetism and signal processing, and are still considered true numbers thus can still be considered "real" in a practical, abstract sense (since all numbers are abstractions to begin with). However, imaginary numbers cannot be expressed as a quantity of anything.
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