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On 2025-03-06, Richard Heathfield <rjh@cpax.org.uk> wrote:Yes.At school we used a, b, c... for trigonometry and p, q, r forThe imaginary i happily coexists with the indexing i.
point co-ordinates, so I suppose I assumed that i, j, k... for
matrices was intended to exploit a nice juicy part of the
alphabet that wasn't being used for anything else...
>
...and then along came imaginary numbers.
Mathematicians come in two varieties: those who are obliviousMathematicians come in two varieties - those that can count, and those that can't count.
to ambiguity and those who relish it. This i situation goes
unnoticed by the former, and pleases the latter.
Electrical engineers, on the other hand, came along bearingI've done plenty of electronics design, though I have no formal education in electrical engineering. But I think it is quite common to use imaginary "i" rather than "j" - it's usually obvious from the context when you are talking about a current. It's rare that you only have one current of interest in a system, so you already have i1, i2, i_in, i_out, or whatever. There is rarely a clash.
current, and immediately saw the i clash, renaming the
imaginary i to j.
However, electrical engineers don't count through any abstract spaces,Of course electrical engineers count loops.
so they don't care about i (current) clashing with i (indexing).
They count things like resistors (R1, R2, ...), capacitors (C1, C2, ...)And they loop through these things - consider multi-stage filters, transmission line models, etc.
integrated circuits (U1, U2, ...), component pins, and so on.
An EE would never say impractical, goofy things like, "For i from 1They could quite happily talk about the sum of load capacitors C_i on a bus.
through n (that being the number of capacitors n in my circuit), such
and such a facts holds about Ci ..."
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