- #1
Calcoolius
- 9
- 0
Hello,
I'm just unsure about the use of curly brackets in expressing loci of complex number z,
to which I've been introduced in our calculus class:
- I can't find elaborations on this on-line
- No material I can find in our textbooks(?)
I do know it is used to express the locus for a moving point z on complex axes, looks something like this:
{z: ...}
following the colons is the expression I presume to be the same as the usual modulus expression which I am used to when working out loci. Sometimes there are equal / unequal signs inside the curlies etc.(??) (to give area locus...?) (e.g. the modulus < 2 giving area bound by circle, not including circle itself of course)
I am familiar with replacing z with x + yi, manipulating, expanding (squaring modulus) and those matters concerning loci, but I don't understand exactly how these curly brackets are used.
If anyone knows, could please explain to me? That would be very kind, thanks in advance
Cheers,
Yotam
I'm just unsure about the use of curly brackets in expressing loci of complex number z,
to which I've been introduced in our calculus class:
- I can't find elaborations on this on-line
- No material I can find in our textbooks(?)
I do know it is used to express the locus for a moving point z on complex axes, looks something like this:
{z: ...}
following the colons is the expression I presume to be the same as the usual modulus expression which I am used to when working out loci. Sometimes there are equal / unequal signs inside the curlies etc.(??) (to give area locus...?) (e.g. the modulus < 2 giving area bound by circle, not including circle itself of course)
I am familiar with replacing z with x + yi, manipulating, expanding (squaring modulus) and those matters concerning loci, but I don't understand exactly how these curly brackets are used.
If anyone knows, could please explain to me? That would be very kind, thanks in advance
Cheers,
Yotam