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May
20
comment Geometric question?
73230, do you know anything about analytic geometry? about representing equations with graphs? about the equation of a straight line? If not, you need more help than we can give here; you need to find a text that covers these topics, and study it. But surely you would not have been given this as homework if these topics had not been covered somewhere? Maybe a talk with the teacher would be the best idea.
May
20
revised Geometric question?
edited tags
May
20
comment Could $\sum e^{a_i}$ be simplified? Does it have an identity?
I don't think that there is, in general, any way to decrease the number of exponential operations needed.
May
20
comment Multiplication properties in rings of matrices
Let $R=2{\bf Z}/8{\bf Z}$. Then $(6)(6)\ne0$, but I'm not sure there's a matrix that isn't a zero-divisor.
May
20
comment having trouble intuiting analyticity
Yes. ${}{}{}{}$
May
20
comment Complex Dynamics of periodic points
I understand the wish to keep the thread from reappearing. Let me suggest another way to reach this goal: you post a comment; OP, benefitting from your comment, figures out how to do the problem; you encourage OP to post an answer, and then to accept that answer.
May
20
comment Complex Dynamics of periodic points
This is good, though maybe more of a comment than an answer.
May
20
comment cake cutting puzzle: why do finitely many cuts suffice?
There's a discussion and demonstration at demonstrations.wolfram.com/TheCakeIcingPuzzle and a pointer to a solution in Peter Winkler's book, Mathematical Mind-Benders.
May
20
answered Would a circle overlap a parabola's bottom by more than just its vertex?
May
20
comment Algebraic transformations to continuously extend functions
Removable singularity in complex analysis generally refers to something like $(1/z)\sin z$ where you remove the singularity at zero by taking a limit, but I don't think you'd call it an algebraic technique.
May
19
comment (probability + algebra ) in cryptography.
Ray, that's good --- now write it up and post it as an answer. Then, after some time passes, you can accept your answer. Oh, and careful about the spelling of my name.
May
19
comment Floor of log equation $S=\left(\lfloor\log_{10}(x)\rfloor+1\right)x - \frac{10^{\lfloor\log_{10}(x)\rfloor+1}-10}{9}$
Carlos, if that's what you want, then that's what you should write in the question. Please edit.
May
19
comment Floor of log equation $S=\left(\lfloor\log_{10}(x)\rfloor+1\right)x - \frac{10^{\lfloor\log_{10}(x)\rfloor+1}-10}{9}$
Thank you, Raymond.
May
19
revised Why does Grothendieck's period conjecture imply Hodge's conjecture?
typos
May
19
comment Floor of log equation $S=\left(\lfloor\log_{10}(x)\rfloor+1\right)x - \frac{10^{\lfloor\log_{10}(x)\rfloor+1}-10}{9}$
Also, an equation like $p(x)={\rm something\ in\ }x$ isn't meant to have a solution. Do you mean ${\rm something\ ib\ }x=0$?
May
19
comment Floor of log equation $S=\left(\lfloor\log_{10}(x)\rfloor+1\right)x - \frac{10^{\lfloor\log_{10}(x)\rfloor+1}-10}{9}$
That \right+1) isn't going to work.
May
19
answered Algebraic transformations to continuously extend functions
May
19
comment Minimum polynomial and matrix multiplication
$(PQ)^{i+1}=PQPQPQ\dots PQ=P(QPQPQP\dots QP)Q=P(QP)^{i}Q$
May
19
comment A question about cubic equation.
Probably because you've got many options for $z$, and taking a different value for $\root3\of{AB}$ probably just amounts to taking a different value for $z$.
May
19
answered Most elegant/simple proof of the irrationality of $\pi$