I think what make any area of mathematics difficult is when you have a poor teacher, or poor textbooks if you are attempting to self-learn. I've had far too many mathematics instructors who either, simply didn't know their subject very well, or they were lousy teachers, or in the absolute worse...
Ok, so these are only 'truths" with respect to the definition of the limit.
That's something that I do understand.
I basically already knew that was the answer but I just needed a memory jog.
Thanks.
I'm looking for paradoxes in mathematics.
Things like Gabriel's Horn where the internal surface area of an object is infinite yet the volume is finite.
Or the fact that there are larger and smaller infinities yet infinity is supposed to be an endless process.
Any others?
Is there a...
I may be wrong, but it's my understanding that a neutron star is made of degenerate matter. In other words, it doesn't contain any "elements" in the normal chemical sense. All of the electrons are in a degenerate state and therefore there are no actual "atoms" with electrons orbiting around...
That's quite often the case, and has always been the case. The person who has the clout usually gets the credit. Everyone else who was involved just gets the satifaction of knowing that they really made the discovery. :wink:
I would take it a step further and ask, what is the difference between science and technology.
Science is basically the pursuit of knowledge of how the world works. Of course, to get technical we could further limit that to only those endeavors which use the scientific methods. Other...
NeutronStar - an unknown entity that signs onto the physics forums every once in while to radiate a post. There is no known forumula for predicting the frequency of the posts radiated by a NeutronStar.
BigBang - an unknown entity that caused the universe to come into existence thus providing...
I keep hearing this too, but like Smurf I have yet to see it in the real world. I haven't met very many women who can multitask as well as I do.
I've also heard that women are supposedly more patient then men. Yet I haven't found this in reality either. I find it extremely difficult to...
This argument has been given many times over the ages. This is not a valid argument for calculus. Calculus does NOT claim that you will ever reach a "zeroth" time or space interval. On the contrary all that calculus shows it that the process continues to converge to a particular value. It...
I have studied calculus in great detail. I have also studied the work of Georg Cantor for over 30 years. I might also mention that I've found Zeno's paradoxes quite interesting since my early youth.
I am quite confident of my position. Thank you for your suggestion though.
This is a huge misconception in the mathematical community. Calculus does absolutely nothing to address Zeno's concepts.
It is grossly incorrect to claim that calculus showed the computability of infinite terms in a finite time. If you actually study calculus and understand the rules all...
I'd say applied math if you are an undergrad going for a physics degree.
I'd say pure math if you are a graduate moving on to post graduate work.
Just my thoughts.
I was just thinking too, you might be able to find some cheap screen door springs at some kind of discount hardware store or maybe even on the Internet. Then you won't need to wind they wire at all. Just cut the existing spring into rings.
The trick is to find a very long skinny cheap...