The discussion revolves around the concept of a locus in the context of fixed points z1 and z2, specifically examining the expression z1 + t(z2 - z1) where t is a real parameter. The original poster seeks to understand the nature of this locus as t varies, particularly within the range of 0 to 1.
The discussion is ongoing, with participants engaging in a light-hearted manner while exploring the concept of a locus. Some guidance has been offered regarding the positions of z1 and z2 at specific values of t, but there is no consensus on the exact nature of the locus itself.
There appears to be some confusion regarding the definition of a locus, which may be affecting the participants' ability to engage with the problem fully. The discussion includes a playful analogy that may not directly contribute to the mathematical understanding.
kathrynag said:
tiny-tim said:Hi kathrynag!
You get plagues of locuses … they're the curves described by the Israelites when they left Egypt.
At t = 0, Moses was at position z1, and at t = 1 he was at position z2 …
so where was he at a general time t, between 0 and 1?
kathrynag said: