Missing two roots in "Take the cube root..."
>> roots([1, 0, 0, 1])
ans =
-1.0000
0.5000 + 0.8660i
0.5000 - 0.8660i
The first equation has two solutions. But the equation x^3+1=0 has three solutions. You chose the one solution that didn't apply. The other two work just fine.
>> roots([1,-1,1])
ans =
0.5000 + 0.8660i
0.5000 - 0.8660i
I like the problem though!
A thought experiment can highlight the problems with the OECD's approach. In Table 2, we use OECD data (and some other sources) to show what the OECD broadband rankings would look like in a "Broadband Nirvana"--a situation in which every household and business establishment across the OECD has a broadband connection. One would initially think that in a Broadband Nirvana, every OECD country would be tied for first place, but the per capita method of ranking that the OECD utilizes does not show that result. In fact, in the scenario in which every home in business in the United States and every other OECD country had a broadband connection, the OECD would rank the United States 20th --five spots lower than the United States ranked in December 2006. Moreover, the United States would be further from the top position than it is today (16 percentage points back rather than 11 points back in 2006).
Except as otherwise provided in this title, whoever without authority makes, uses, offers to sell, or sells any patented invention, within the United States or imports into the United States any patented invention during the term of the patent therefor, infringes the patent. [emphasis mine]
So yeah, use is infringement, and you need a license. I agree that the expectation is that the manufacturer has provided you with this license, but it seems in this case the manufacturers have cheaped out and only pony up for a non-commercial license, expecting the user to purchase a commercial license if one is needed.
Living on Earth may be expensive, but it includes an annual free trip around the Sun.
