So before we sign off,
a few items of business.
First, course evaluations.
There's a course evaluation form
online, there's a link on the site I think
right below this video,
and we'll also send a link to the forum
out by email.
So, your feedback is very helpful for us,
it will help me improve future versions of
this course, it will help improve other
complexity explorer courses, and the
website in general.
So, thanks in advance for taking the time
to fill that out, and your honest and
constructive feedback. Next, I'd like to
acknowledge the funders for the course,
so the main funding for the Complexity
Explorer project is from a grant
from the John Templeton Foundation
to the Santa Fe Institute,
I'm very grateful to them for their support.
and also, we received funding from
individual donations from Complexity
Explorer users, and so, thank you
to everyone who has made a donation.
Also, thanks to all the students
who participated in this course,
who took the time to watch these videos,
and especially those who contributed
ideas and questions in the forum,
one of the most exciting, interesting
parts for me when I do a course like this,
is the ability to interact from people
from all over the world, and see
not just me interacting with you,
but students interacting among themselves.
So, thank you.
So, this brings us to the end of the course.
Fractals and scaling is a powerful idea,
a powerful set of mathematical tools,
that describe a certain type of regularity,
pattern, maybe even simplicity,
across scales, and across a really diverse
set of phenomena. So, physical fractals,
ferns and mountains and clouds,
and coastlines, statistical distributions,
word frequency, earthquake frequency
and the like, and then most recently
in metabolic scaling and urban scaling.
So there are these certain mathematical
patterns and structures, that to
varying degrees, appear across all of
these interdisciplinary systems.
So, I think these are powerful and useful
ideas for the study of complex systems,
or really, whatever you're interested in,
it's a very useful set of ideas and tools
to have in your toolbox.
I enjoy teaching about these ideas,
and thinking about them, they make me
see phenomena in different ways,
and I hope that's been the case
for you as well.
So, thanks again, take care,
and we'll see you around.