14,975 reputation
32552
bio website uclue.com
location Knoxville, TN
age 61
visits member for 4 years, 1 month
seen 53 mins ago

Enjoys programming in Prolog. Will solve math problems for food.

Rosser's trick: "For every proof of me, there is a shorter proof of my negation".

This is not the baggage check described by Article 4 of the Warsaw Convention.


1h
reviewed Close Find $(1+i)^i$ in simpler terms, without imaginary exponents.
1h
revised Complex power of a complex number
various expressions for complex logarithm were missing i within imaginary part
1h
reviewed Looks OK Evaluating $ \sum\frac{1}{1+n^2+n^4} $
1h
reviewed Leave Closed How to reduce a cubic function to 2nd degree function?
1h
revised A question on Terence Tao's representation of Peano Axioms
added another example of statements true in natural numbers requiring proof by induction
2h
reviewed Close Question (true/ false) about the rank of an induced matrix.
2h
comment Question (true/ false) about the rank of an induced matrix.
Note that there is a symmetry between the roles of $A$ and $B$, in that if $B$ results from changing one element of $A$, also one obtains $A$ by changing one element of $B$. I would suggest trying a few simple examples to get a feel for what is possible and what is necessary.
3h
reviewed Close Gaussian (Normal) Distribution parameterization
3h
reviewed Leave Open Check if a function is L2
3h
reviewed Close Finding non-zero eigenvalues of a $5\times 5$ matrix
3h
revised A question on Terence Tao's representation of Peano Axioms
tried variation to make "successor" ++ look more like an operator
4h
answered A question on Terence Tao's representation of Peano Axioms
12h
answered How to create a computationally cheap function passing through given points?
16h
reviewed Leave Open How do I take the 100th derivative of a polynomial
16h
comment Arithmetic functions of particular type
You can easily fix your example by composing an increasing function $f$ with $\pi(x)$ (although the OP seems a little ambivalent about whether strictly increasing is the only case of interest).
17h
reviewed Close Clarification regarding Drinker's paradox
17h
reviewed Leave Open Maple: How do I type “solve” with an arrow under?
17h
reviewed Looks OK Limit radius of convergence $ S = \sum^\infty_{n=0} \frac{(n + 1)!}{8^n} $
17h
comment How to create a computationally cheap function passing through given points?
Since it has roughly the appearance of a hyperbola, I pulled the data into a spreadsheet and calculated the $x\cdot y$ values. These vary "unimodally" with $x$ (the first coordinate), suggesting a fit of the form $y = p(x)/x$ where $p(x)$ is a quadratic polynomial.
17h
comment Arithmetic functions of particular type
Of course it does have the advantage of being natural and interesting!