Mathematics naive question:
What is the "canonical" way to represent 14+1i?
14+i1
or
14+i
Similarly, is it likely, in the 'real world', that scientific notation is going to creep into a complex number so as to freak out a complex numbers parser? For example,
1.2345E+02-1.7002E-09i
Edit: Finally, is it
8.45358210351126e+066i
or
8.45358210351126e+66i
i.e. does one zero file to three digits on the imaginary?
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I would represent your first example as:
14 + 1i
And I would certainly expect to see scientific notation in complex numbers. For example, Python happily accepts the following (using
j
as Python requires):>>> 1.2345E+02-1.7002E-09j (123.45-1.7002e-09j)
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My preference would be:
14 + i
Somehow it's more pleasing to my eyes than 14 + 1i.
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"14 + 1i" is better than "14+i1", but I'd be more likely to say or write "14 + i".
Also,
1.7002E-09i
(which I haven't seen in Maths, though no doubt it happens in engineering or something) looks a bit ambiguous without a superscripted font (do you mean1.7002*(10 ** -9)*i
or1.7002*(10 ** -9*i)
?) and therefore(1.7002E-09)i
might be better. -
No problems with MATLAB:
>> 5+i ans = 5.0000 + 1.0000i >> 5+1i ans = 5.0000 + 1.0000i >> 1.2345E+02-1.7002E-09i ans = 1.2345e+002 -1.7002e-009i
I think this shows that scientific notation ("
E
") in complex numbers is handled pretty well in the "real world"... to the extent that MATLAB is an influential part of that world =)
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