Tuesday, November 27, 2012
Asymptotes
The other day in class we learned that there are several different types of asymptotes, mathematical asymptotes (ex. when your denominator equals zero), realistic and theoretical asymptotes (ex. carrying capacity of a population graph), and physical asymptotes (ex. the reaction of an electron and nucleus). So I was wondering, is there one set of properties that apply to all asymptotes?
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I was thinking about this, and i really was drawn to limit. But as we talked about limit and asymptote carry a different meaning. So I thought of another property to give the asymptote as a whole throughout its many uses, and applications.
ReplyDelete-a point or points(line) where the input for whatever application cannot exist
Any to add, going off off that Tashi?
Yes! I definitely agree but I was really wondering a about properties that were a little more specific.
ReplyDeletewondering about*
ReplyDeleteno "a" needed there
ill assume typo for your sake
ReplyDeleteYes it was, but do you have any ideas about asymptote properties?
ReplyDeleteTashi, I think i have an idea for a more specific asymptote.
ReplyDeleteCan you have a plane of asymptotic behavior, or a point with asymptotic behavior?
We know about point limits, but is that the same as a point asymptote. It seems that a point limit is approached asymptotically.
ReplyDeleteThe questions about plane and point asymptotes are super interesting now I am wondering as well Also I think from our conversation in class yesterday we con conclude that although asymptotes and limits are similar, they have important differences.
DeleteThis is a very important thread for a number of different reasons. First, the notion of a "point asymptote" or a "plane asymptote" is something new to our language and we would want to check on these usages before presenting them to a wider audience such as the math department. Second, Tashi could you please elucidate what you perceive the differences between limits and asumptotes to be?
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