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 Yearling
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Apr
15
revised Why is 987654321/123456789 = 8.0000000729?
a couple of minor corrections
Apr
15
comment Are all continuous one one functions differentiable?
You should delete this answer
Apr
14
comment Why did Euler use e to represent complex numbers?
@Jared It might not be obvious, but it is not an assumption or a presupposition. It is a mathematical fact.
Apr
14
comment Why did Euler use e to represent complex numbers?
@Jared That "$e^x$'s derivatives are nicer than $n^x$ for $n$ an arbitrary positive real number" is not a 'presupposition'. It is a simple fact which is clear to anyone who knows how to differentiate functions like this. This makes it obvious that $e$ is 'special', without appeal to complex numbers, and was known well before Euler.
Feb
26
awarded  Yearling
Jan
8
revised How to stop forgetting proofs - for a first course in Real Analysis?
added 413 characters in body
Jan
7
awarded  Nice Answer
Jan
6
revised How to stop forgetting proofs - for a first course in Real Analysis?
added blockquote to make theorem stand out
Jan
6
awarded  Pundit
Jan
6
comment How to stop forgetting proofs - for a first course in Real Analysis?
This is corrent advice in principle, but it's not very helpful at explaining how to do this in concrete terms. What are the main methods used in 'most analysis proofs'? How does a beginning student recognize a 'method' and figure out how to adapt it?
Jan
6
comment How to stop forgetting proofs - for a first course in Real Analysis?
Good job including some mathematics in your psychobabble.
Jan
6
answered How to stop forgetting proofs - for a first course in Real Analysis?
Dec
29
comment Transcendental a infinitely close to rationals?
You are muddying the waters somewhat.
Dec
9
awarded  Caucus
Nov
25
comment Interesting Question on Ants
@TimSeguine your quibble could be answered by 10 seconds' thought about what either of the options you put forward would imply for the question.
Oct
6
comment Is there a geometrical definition of a tangent line?
I know that yours does not involve measure theory, however it is similar in spirit. You want none of the curve to lie outside a narrow tube around the tangent. The measure-theoretic notion of tangency needs only a very small amount of (the measure of) the curve to lie outside a similar narrow tube.
Oct
6
comment Is there a geometrical definition of a tangent line?
This is something like the measure-theoretic definition of tangency.
Sep
30
awarded  Explainer
Sep
18
comment There is no smallest infinity in calculus?
Perfect. Saying that "$= \infty$" is an abbreviation for a longer statement is exactly the correct way to think about infinity in this context (and what I was taught that it formally meant). Unless you know what you are doing, any other interpretation will lead you into trouble.
Aug
22
comment Necessary and sufficient condition for a directed graph be Eulerian circuit and Hamilton cycle
Sorry to nitpick, but doesn't a finite connected digraph always contain at least one edge? (Unless it has a single vertex, in which case it does technically have an Eulerian circuit.)