Plotting a metric space a>0, c>0; 4ac-b2>0


by fabbi007
Tags: ellipse, metric space, plot
fabbi007
fabbi007 is offline
#1
Oct11-10, 10:53 PM
P: 20
Metric given by (d) in the textbook on page 48 in the following url. How could we plot this function and characterize what the metric looks like for varying a, b, c. Start by plotting the case when d(x,0)=1, a=b=c=1. Vary a, b, and c individually. Show plots for each case and Characterize how the shape of the metric changes.


http://books.google.com/books?id=t3S...0space&f=false


My attempt:

The equation yields either a parabola or ellipse. Not sure where to start. A direction or hint would help. Thanks for your responses.
Phys.Org News Partner Science news on Phys.org
SensaBubble: It's a bubble, but not as we know it (w/ video)
The hemihelix: Scientists discover a new shape using rubber bands (w/ video)
Microbes provide insights into evolution of human language

Register to reply

Related Discussions
Topological space, Euclidean space, and metric space: what are the difference? Calculus & Beyond Homework 9
Einstein metric and Space-time metric Special & General Relativity 1
Metric space versus Topological space Calculus 5
Plotting space-time curvatures as curved 2D-surfaces Special & General Relativity 9
Metric space and subsets of Euclidean space Calculus & Beyond Homework 18