Vincenty used the distance at the mean height of the two endpoints as the distance to reduce to an ellipsoid distance. How that translates to this dis...

@michigan-left?ÿ "5000,5000,100 coordinates are on a flat plane too. Plane geometry = rectangular grid." Are you saying that (5000, 5000, 100). (505...

Well. Whether you're on the earth's surface or taking a geometry exam, it takes three points to determine a plane. If you don't believe that, try to ...

@bill93?ÿ He'd be all over it, wouldn't he?

but I dont believe the order of observations bear any weight of the derived result.?ÿMy point here is that, had the first sample met your criteria, th...

The variances of samples drawn from a normal distribution follow the Chi square distribution. Look here for more: 1.3.5.8. Chi-Square Test for the Va...

I interpreted your single face observation, where you divided by sqrt(0.05) as being a single observation. It seems that you want the sample variance...

I often get in trouble with error propagation calculations, so I'll defer to Bill and not comment on the math. But here are two questions from reading...

Instrument has a long history. ?ÿ

@holy-cow?ÿ My comment, I hope you know, was tongue in cheek, but I know the problem well. We met the owners of a NC beach house that we had rented f...

@holy-cow?ÿ Ahem. The owners are from North Carolina. By inferring that North Carolina and South Carolina are in some sense alike, you have insulted ...

It's pronounced "nawth" of course.

Some people like to complicate things just to show off. Here's a non-calculus solution, but I don't know why the mathedmatician thought it was an area...

@bill93?ÿ Well, I can say anything I want to say. As you pointed out, if the fly flies at twice the speed of the trains, it will fly one mile, so, ob...

@bill93?ÿ Yes. The fly has to fly faster than the trains or else it can never get started. It's a cool problem because it has a simple solution and ...

Hint: Assuming that the trains are travelling?ÿtowards each other, and will collide, squishing the fly, the fly will travel 1 mile.

Two locomotives are one mile apart travelling in opposite directions at the same speed on the same track. A fly is flying back and forth between the t...