Let S ⊆ R and let G be an arbitrary isometry of R . Prove that
the symmetry group of G(S) is isomorphic to the symmetry group of
S. Hint: If F is a symmetry of S, what is the corresponding
symmetry of G(S)?
I
am using the phbirths data in the faraway package in R.
I want to:
1) create a plot of the birth weight vs the gestational age
and I want to colour code the points based on the mothers smoking
status to determine whether or not smoking affects the
babies.
2) fit a simple model (one regression line) along with both
the main effects (parallel lines) and interaction (non parallel
lines) ANCOVA model to the data and find out which...
Prove using the principle of mathematical induction:
(i) The number of diagonals of a convex polygon with n vertices
is n(n − 3)/2, for n ≥ 4,
(ii) 2n < n! for all n > k > 0, discover the value of k
before doing induction