hardmath

Knoxville, TN

uclue.com

Age: 62

Enjoys programming in Prolog.

Richard O'Keefe: "Prolog is an efficient programming language because it is a very stupid theorem prover."

When I cross the street, I look both ways: up and dn.

2h
answered Are questions that boil down to errors in off-site resources on-topic?
3h
comment How to derive the relation $T=S_1$ for the equation of a chord of an ellipse whose midpoint is given?
Now let's define what $x,y$ and $x_1,y_1$ are in these equations. I'm guessing, but is $(x,y)$ supposed to be the arbitrary point on the chord and is $(x_1,y_1)$ supposed to be the midpoint of that chord? There still seems to be something missing, but let's get that pinned down.
13h
comment Smoothly interpolating between functions to create a bouncing wave
Unfortunately you continue to frame the Question essentially in programming terms. If you define your "Round Wave" as a function with fundamental period [-waveWidth/2,+waveWidth/2], and having maximum value waveWidth/2 at the midpoint of this period, then the "Inverted Round wave" can be expressed in terms of the "Round Wave" (shift the period forward by waveWidth/2 and subtract the function's value from waveWidth/2). But you have even developed the mathematical formulas needed to express this idea symbolically, and the words I'm using may seem terribly complicated.
1d
reviewed Reviewed Smoothly interpolating between functions to create a bouncing wave
1d
comment Smoothly interpolating between functions to create a bouncing wave
There is no unique way of doing this mathematically (a term that applies to varying between two functions is homotopy). Also it seems that you are really asking more of a programming question here.
1d
reviewed Reviewed How to derive the relation $T=S_1$ for the equation of a chord of an ellipse whose midpoint is given?
1d
comment How to derive the relation $T=S_1$ for the equation of a chord of an ellipse whose midpoint is given?
I'm sure the symbols $T$ and $S_1$ mean something in the context of your ellipse, but more needs to be said to let Readers understand your Question.
1d
comment Integral $\left(\frac{x+y}{x-y}\right)^4$ using long division?
You realize the denominator is zero when $x=y$? I would try to make a change of variable, perhaps $u = x+y$ and $v = x-y$.
1d
comment Is there a numerical solution for a system of three 1st order nonlinear ODE?
I thank you for creating content that will be useful to future Readers. +1
1d
reviewed Close Proving $\sum_{i=1}^n 2^i = 2^{n+1} - 2$ using strong induction
1d
reviewed Reviewed Center of gravity of a hollow or solid semi sphere
1d
comment Center of gravity of a hollow or solid semi sphere
Welcome to Math.SE! While help with mathematics is available at all levels of skill, it is expected that Community participants will give their best efforts to contribute solid content. Please edit the Question to improve the spelling and capitalization, and while you are editing, include what you've tried and what difficulty you encountered.
1d
comment Algorithm to answer existential questions - Reduction
If you are asking about a published paper, it would be helpful to have a citation to it. It seems that you have quoted a bunch of "results", only to ask how those lead to some conclusion about "existential questions in $\mathbb{Z}$."
1d
reviewed Close What is unit ball in the weak star topology of a Banach space?
1d
comment Least squares optimization problem, KKT conditions and derive expression for $x^*$
Please do not deface your Question with such radical edit as to make it unintelligible.
1d
reviewed Looks Good Does anyone know when I would use this symbol ($\supseteqq$) and meaning?
1d
reviewed Reviewed Number of different keyboard layouts?
1d
comment Number of different keyboard layouts?
So $30!$ is clearly correct, almost the definition of the number of permutations of thirty things. Are you asking about the numerical value being correct?
1d
reviewed Reject suggested edit on Evaluations of a Definite Integral with cosine function
1d
comment Is there a numerical solution for a system of three 1st order nonlinear ODE?
I'm having to guess at how this answers the Question ("is there a numerical solution for..."). If you are proposing to solve numerically the higher-order ODE show above for $x$, rather solving the system of first-order ODEs, this would be an intelligible approach. However you should say this is what you mean, and argue (if possible) why you think the numerical solution is better done this way. If nothing else such an Answer could highlight the "missing" initial condition already noted in the Comments on the Question itself.
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