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Member of the Crusade of Answers on Math.SE. Join us in annihilating the Unanswered Questions queue!

Programmer, robotics enthusiast, and math-lover. Future computer scientist, EE, or mathematician.

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12h
comment Are there mathematical contexts where “finite” implicitly means “nonzero?”
@templatetypedef Oops. Ok. :) (I, for whatever reason, was processing the definition as "infinite = cannot find bijection," not "finite." (Which is a big mistake.)
13h
comment Are there mathematical contexts where “finite” implicitly means “nonzero?”
@templatetypedef You probably meant to include the word "countably," right? It's trivial to show that the set of all rational numbers is infinite without using one-to-one correspondences. :-)
14h
comment Are there mathematical contexts where “finite” implicitly means “nonzero?”
The dictionary even tries to be somewhat technical: "Finite: Relating to a set that cannot be put into a one-to-one correspondence with any proper subset of its own members." Hmm... But the rationals can be put into a one-to-one correspondence with the integers! :P
1d
comment Substitution with trigs (not integrals)
This trick of solving for $x\sin\theta$ and $y\sin\theta$, then dividing the equations is super useful, especially in elementary/first-year physics. (These sorts of equations come up a lot, especially in problems dealing with a box on an inclined plane. ;))
Oct
19
comment xy+x+y=0 What is the inverse Element?
The English term you're looking for to mean "linkage operation" is "binary operation." I don't know if I can help with the rest of your question, though.
Oct
19
comment How do I prove matrix irreversibility without determinants?
@Timbuc Rather, non-invertibility.
Oct
19
comment Evaluating $ \sum_{i=0}^{\infty}ir^i$ for $|r|\lt 1$
This is duplicate... I'm looking for the source question now.
Oct
19
comment Root Calculation by Hand
Where did you get the $2.5$ number? Is this just a "starting guess" for the root, or is there some other reason for this choice?
Oct
18
comment Does $1.0000000000\cdots 1$ with an infinite number of $0$ in it exist?
@mvw has hit the nail on the head. You've assumed a definition in your answer that may not necessarily be valid. (And numerology is totally different, btw.)
Oct
18
answered $\displaystyle\int \tan^{5}(x)\text{ d}x$
Oct
17
comment Why do we stop at exponentiation stage in arithmetic of natural numbers?
There's a blog entry on the topic of iterated operations that should be coming out soon... I don't know exactly where in the queue it is, but it's there. :)
Oct
17
comment Solved to be 7 after arithmetic
Wording nitpick, because this is something I see all the time and it's my pet peeve: you don't "times" something; rather, you "multiply" something. That is, you would "multiply the result by $3$," not "times the result by $3$."
Oct
16
comment solve $\log_3^2(x)-\log_2(x)=2$
To point out the blatantly obvious: this answer assumes that the OP made a typo, and wrote $\log_2$ instead of $\log_3$.
Oct
15
reviewed Close Venn diagram - prove
Oct
15
reviewed Close The Car's cost is 9,00,000 and it is inclusive of local tax of 2%. How to find the original value of car?
Oct
15
reviewed Close Is this vector identity accurate?
Oct
15
reviewed Close proofs without dot product: gradient, lagrange mutipliers, surface integrals, Gauss first fundamental form
Oct
15
reviewed Leave Open Congruences in Algebra
Oct
15
reviewed Leave Closed What is the general solution for $y''e^{-y} =1$?
Oct
15
reviewed Reviewed I really need help so I can compare my answers. I'm not cheating. I'm in precalculus. we have an exam next week! Help?