Illegal to fly to the nation, but not the island. Ever hear of Gitmo (an American base on the island of Cuba)? Or do they transport the "vacationers" by boat?
But in the case of SourceForge, is it even a problem? Someone else might be able to salvage something useful from your application. Try that with closed-source software.
And how many Microsoft projects make it to market? What percentage of all of its projects are unmaintained/dead/alpha? Is it much different from SourceForge.
I'm waiting for how Wildberger will define "point", since he seems to believe that having undefined terms is vague.
But he said the definition of an angle, not the definition of angle. I suspect he means that one cannot, in general, specify the (exact) numerical value of an angle without calculus. One of his reasons for using spread is that he can (?) specify spreads for a broader range of geometries.
I am somewhat peeved by his use of "define" for "specify".
As for you last point, he may just be throwing that in for people who must have the distance.
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So the scores were normally distributed, but was the underlying talent normally distributed?
Antec sells a laptop cooler. Even if you don't use the fan, it's still a place to put your laptop.
There are Win32 versions of LaTeX. I'm not sure about OSX.
Multiple OSes? LaTeX is at least as cross-platform as any word processor.
It may not be completely "free", but people may prefer receiving dividends to having to sell the the stock for capital gains.
It's nice in Columbia, SC. CNN reports that the weather in parts of Texas is not as nice.
As an USian, I ask: Whatever happened to probable cause. Unless a large percentage of Muslims are terrorists, is profiling them constitutional?
One can read PDFs in Linux. There's Acrobat, kdpf, xpdf, and maybe more.
Nor did you answer his. Or do you consider being targetted for searches "no misfortune"?
Illegal to fly to the nation, but not the island. Ever hear of Gitmo (an American base on the island of Cuba)? Or do they transport the "vacationers" by boat?
Yes, I know. But in that novel, the US is part of Oceania, so why would we attack ourselves?
The US is (part of) Oceania, so why would be at war with it?
Why would dividends make a stock worthwhile?
Because people like getting money?
What is a coercive argument? Is it when Don Corleone claims to have a syllogism that you can't refute?
Wasn't the Ernestine character from Rowan and Martin's Laugh-In? (late 60's-early 70's).
2) How much faster can it be than taking sin(x) on a calculator?
3) The pictures of "traditional" trigonometry are pretty easy as well.
Well use some urine-resistant cabling!
But in the case of SourceForge, is it even a problem? Someone else might be able to salvage something useful from your application. Try that with closed-source software.
And how many Microsoft projects make it to market? What percentage of all of its projects are unmaintained/dead/alpha? Is it much different from SourceForge.
And at that point you may as well use sin(theta)=y/r.
And how do you measure the quadrances to calculate the spreads? Or do you have a Platonic ruler?
And how long does it take to approximate sin and cos on a 2.4 GHz chip?
Do you believe that you could teach this to high schoolers?
How does one construct a right triangle with an angle of 117 degrees?
In coordinate geometry, one can take the equations of the lines in the form a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 and then take the spread to be
1 - (a_1a_2+b_1b_2)^2 / ((a_1^2+b_1^2)(a_2^2+b_2^2)).
This gives a value of zero if the lines are parallel.
This follows from the usual properties of dot product.
I'm waiting for how Wildberger will define "point", since he seems to believe that having undefined terms is vague.
But he said the definition of an angle, not the definition of angle. I suspect he means that one cannot, in general, specify the (exact) numerical value of an angle without calculus. One of his reasons for using spread is that he can (?) specify spreads for a broader range of geometries.
I am somewhat peeved by his use of "define" for "specify".
As for you last point, he may just be throwing that in for people who must have the distance.
And what happens in a world of irrational numbers?
The measurement of an angle requires limits? Damn, how does my protractor do that?
Classical trigonometry may have been computationally difficult, but being conceptually difficult is a different matter.