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location Hamilton, Canada
age 21
visits member for 2 years
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Engineering student at McMaster university who wants to learn math properly.


Jul
17
answered Is it possible to pass functions into other functions in maths?
Jul
17
comment Passage not understood in a Physics formula
From a physics point of view, that is what they're doing. They're treating it like a genuine fraction and using $(a\vec{b})\cdot\vec{c}=\vec{b}\cdot(a\vec{c})$. You could justify it by setting up the Reimann sum and taking the limit in different ways, but someone probably knows a slicker method.
Jul
12
comment Why is that interior points exist only inside intervals on $\mathbb{R}$?
@GustavoBandeira If I had to hazard a guess, I'd say that your question can be read as asking if subsets of $Q$ can have interior points when taking your overall space as $Q$, while this answer depends on having your space as $R$. Which did you mean?
Jul
12
comment Examples of homeomorphisms between the real numbers and the positive real numbers?
@jkn can you include that in the question then? Looking for examples that work well with that application seems like a much more reasonabe scope.
Jul
12
comment Examples of homeomorphisms between the real numbers and the positive real numbers?
So you want a list of continuous functions from $\mathbb{R}^+$ to $\mathbb{R}$? "big-list" doesn't even begin to cover the breadth of that. Is there some specific criteria you want these to have?
Jul
11
answered Explaining the physical meaning of an eigenvalue in a real world problem
Jul
8
answered Understanding differential equations
Jul
8
comment How can I construct a square using a compass and straight edge in only 8 moves?
@fredley extending a line is indeed a move. You should also note that you don't need the horizontal line at any point in this construction.
Jun
24
comment Examples of applications of Linear differential equations to physics.
Do they need to be ODEs? the heat and wave equations are everywhere, and laplacians appear even more often than that.
Jun
23
answered Interesting Math for 3-graders
Jun
20
comment Why not to extend the set of natural numbers to make it closed under division by zero?
@000 they really shouldn't be considered like that though; complex numbers extend the reals and maintain most useful properties. If they did screw up like this the comparison would be fair, but then no one would have bothered defining $i$ in the first place.
Jun
14
comment Oblique asymptotes
@user82460 The -6(x+2) will introduce a -12. To make everything equal to the +1 in the numerator I need to add 13 back.
Jun
13
comment Why is $1 =1 $? why is it so why cant be $1 =$ something else?
Keep in mind that we use equality to capture the idea of "sameness". Something is the same as itself pretty much by the definition of "same". There's not much going on here that's more mysterious than the use of equality/sameness in normal language.
Jun
13
comment Why is $1 =1 $? why is it so why cant be $1 =$ something else?
@celtschk Wheel theory would be the main one. You modify the meaning of division so that it reduces to the normal one for the numbers you know and love, but can be extended to $1/0$ and the like.
Jun
13
comment What could volume * mass be called?
I'd be surprised if there were. Did this actually come up anywhere?
Jun
12
answered Smooth Pac-Man Curve?
Jun
10
comment How to evaluate $ \lim_{(x,y)\to(0,0)}\frac{y^2\sin^2x}{x^4+y^4} $
@flapjackery The point is that working with $\sin x$ is kind of annoying and tricky compared to polynomials, and separating out that limit lets you get rid of it, making the analysis easier.
Jun
10
answered Graph Theory Applications?
Jun
10
comment Graph Theory Applications?
Denying the applications of math in an attempt to keep it pure does just as much disservice (if not more) as totally ignoring purity. Most areas of math, like it or not, were initially created to solve problems in other areas. Math's almost unique ability to do this in such a wide swath of disciplines should be a credit to the subject, not a burden.
Jun
8
answered How do i solve $e^{ax}-e^{bx}=c$ for $x$?