/sci/ - Science & Math

>>14875128
>Why wouldn't a line though the C points lie in C?
see picture

>>"We have theta x1 +(1-theta)x2"
>Why do we have this?
that is the formula for a line through two points

>>"C ontains the linear combination of any two points in C, provided the coefficients in the linear combination sum to one."
>Why? Are we summing to one here? Why not -19 or tree fiddy?
if a point is on the line then it is a linear combination as shown in your picture
and theta + (1 - theta) = 1
although this is not a necessary condition