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Apr
10
revised Grasshopper in a tropical forest
edited tags
Apr
10
reviewed Leave Open Geometry/Trigonometry Homework Help - Circles
Apr
10
comment mathematical biology1
I took the liberty of re-structuring your question so that it was clearer what you were asking. I didn't change the content, just the formatting.
Apr
10
reviewed Edit mathematical biology1
Apr
10
revised mathematical biology1
improved formatting
Apr
9
comment Number Theory on Siamese Twin primes
@Gaurav "No even number is odd but $2$"?
Apr
8
comment Fractions of Cracks
How long are his feet?
Apr
8
comment Relationship between the Weierstrass function and other fractals
An interesting, more concrete question, might be to ask if there exist non-self-similar continuous non-differentiable functions. The only other one I'm aware of is the Blancmange curve, which is self-similar.
Apr
8
accepted An irreducible polynomial cannot share a root with a polynomial without dividing it
Apr
8
comment Riemann's zeta as a continued fraction over prime numbers.
"Found" in the sense of derived it yourself, or found it in a written source somewhere? If the latter, you might include that source here.
Apr
8
comment An issue with the usual proof of Cantor's Theorem
To be specific, what you're trying to do is find an element of $P(X)$ not in the range of $f$, but you have failed to do so, finding instead an element of $P(P(X))$ not in the range of $f$.
Apr
8
comment What does dx mean?
Until you get to higher calculus where such things are justified, I think that things like $\frac{du}{dx}=2x\implies dx=2xdu$ are, to put it uncharitably, meaningless gibberish. I'm just a student, but I have yet to see a single rigorous justification for manipulations like that. It does work, so presumably there is a justification, but personally I choose to see it as invalid, and prefer to write everything out in terms of functions and derivatives.
Apr
7
comment An irreducible polynomial cannot share a root with a polynomial without dividing it
Why would $D$ have to have a root? Is it that any common divisor divides the GCD, in particular $X-a$?
Apr
7
comment An irreducible polynomial cannot share a root with a polynomial without dividing it
Do you mean $Q=RTSS^{-1}$?
Apr
7
asked An irreducible polynomial cannot share a root with a polynomial without dividing it
Apr
7
comment counting Number of matrices
Are the entries of the matrix integers?
Apr
7
comment Visually deceptive “proofs” which are mathematically wrong
This - and both other answers - are completely equivalent to the one mentioned in the OP.
Apr
6
comment 5th order Polynomial not accurate enough?
@Ke. What do you mean "I get 14.3 when it should be 6"? You mean the linear fit gives you 14.3 for an input that's 6 in the actual data? Because given what the rest of the data looks like, that just sounds like an outlier to me.
Apr
6
revised Injection vs. Surjection: Mnemonic to remember which is which
fixed typos
Apr
6
comment What is the definition of a positive integer?
@Sabayasachi No, don't follow their wisdom! The ancients used geometry, and it ruined algebra and arithmetic for centuries. So multiplying numbers means calculating the area of a rectangle or the volume of a cube? How are you gonna multiply together more than three factors? A number is a number is a number, the power of arithmetic is how general it is, don't clog your mind up with unnecessary geometrical representation.