31–40 of 154 posts
I like the characterization of pure vs. applied math being primarily about motivation. I've often said the difference is more on the "why" that the "what".
when asked a how-many or how-much question that involved basic arithmetic, one would reply:
"Yeah, I can't do that. That's applied math".
> US Army applying new areas of math Good on them, that long division can be tricky. > Modeling frameworks are desired that are able to eschew the usual computational simplification assumptions and realistically capture … complexities of real world environments and phenomena, while still maintaining some degree of computational tractability. Of specific interest are causal and predictive modeling frameworks, hybrid m…
Why would you need more people than that? I wouldn't be surprised if the number of people in my University who understand this would fit in a single barracks too, but it doesn't in any way detract from the work they're doing.
I like the characterization of pure vs. applied math being primarily about motivation. I've often said the difference is more on the "why" that the "what".
I studied applied mathematics. Roughly summarised: pure mathematicians create new math through the process of conjecture and proof . Applied mathematicians use those theorems and methods to solve simplified models of reality in order to draw conclusions about expected behaviour and/or for the sake of optimisation .
I like the characterization of pure vs. applied math being primarily about motivation. I've often said the difference is more on the "why" that the "what".
A common joke among students when I was in my computer-science program: when asked a how-many or how-much question that involved basic arithmetic, one would reply: "Yeah, I can't do that. That's applied math".
It's true though, lots of mathematicians are lousy at arithmetic.
For anyone interested in applying traditionally pure fields, Applied Topology has been slowly gaining steam lately (as reflected in the article: "topological" is now a hot word). Robert Ghrist of UPenn has been at the forefront of bringing topology into applied fields; and has written a good text on the subject.
Hipster Topology: I studied Algebraic Topology before it became "Applied"
Frankly this sounds like some bureaucrat who likes HTT made up an excuse to fund it. It's a mil/gov version of a corporate engineer who decides to build a project in a language they read about on HN.
...did you read that after you typed it? do you think there is a actually some US federal government bureaucrat running around who has an opinion on HTT?
For anyone interested in applying traditionally pure fields, Applied Topology has been slowly gaining steam lately (as reflected in the article: "topological" is now a hot word). Robert Ghrist of UPenn has been at the forefront of bringing topology into applied fields; and has written a good text on the subject.
For anyone interested in applying traditionally pure fields, Applied Topology has been slowly gaining steam lately (as reflected in the article: "topological" is now a hot word). Robert Ghrist of UPenn has been at the forefront of bringing topology into applied fields; and has written a good text on the subject.
[1] https://en.wikipedia.org/wiki/Topological_data_analysis#Appl...
For anyone interested in applying traditionally pure fields, Applied Topology has been slowly gaining steam lately (as reflected in the article: "topological" is now a hot word). Robert Ghrist of UPenn has been at the forefront of bringing topology into applied fields; and has written a good text on the subject.
Found this on Dr. John D. Cook's blog.
https://www.johndcook.com/blog/2010/09/13/applied-topology-a...
Earlier quoted context omitted.
I studied applied mathematics. Roughly summarised: pure mathematicians create new math through the process of conjecture and proof . Applied mathematicians use those theorems and methods to solve simplified models of reality in order to draw conclusions about expected behaviour and/or for the sake of optimisation .
That's not quite right, in my opinion. In a past life I was an (applied) research mathematician, but started off fairly pure. Wearing both hats you can find yourself creating new mathematics, but there is a difference in why you are doing it, and what you consider progress to mean.