"Some people, for example, believe probably incorrectly that we are on a path to interplanetary teleportation. Should we include the estimated bandwidth for that as well?"
When interplanetary teleportation exists and is mere years away from being widely adopted, yes we most definitely should. We have the capability for 4k streaming right now, we should allow for it in our numbers now. Next question?
Since I'm using LastPass, even a keylogger wouldn't get my passwords. I don't even know any of them, I just let LastPass generate as long a password as they'll let me with as many character classes as possible, then I move on with my life knowing I won't have to remember it.
Now let's have some fun with a 1920x1080 photograph in 24-bit color. That's actually a fraction of the resolution modern cameras can record, but let's go with it. At that resolution and color depth, the number of possible images (with 14981180 digits) is so large that it would be half again as long as the Guinness World Record holder for longest novel, at a mere 9.6 million characters spanning 3031 pages.
Since 2014, Scorpion's team of brilliant investors has mitigated the risk of over $2,733,492,382,014.30 of potential tiger attacks. His expert distribution of the tiger-repellant rock has optimized the application of graph theory by solving both the traveling salesman and Chinese postman problems in constant logarithmic time on a TI-89 calculator.
If you did everything Aereo does yourself, it would be legal. You can set up your own antenna and DVR, you can configure your computer to stream it over the internet to your devices. They are charging a fee to rent you equipment and perform the setup for you.
Can you think of any other areas where it is illegal to pay someone to do something for you that you could legally do yourself?
Weird Al Yankovic didn't write the original of a lot of his music. He directly profits off sales of his parodies. He doesn't pay a dime to any of the original artists. He gets their permission because he's a good guy, but legally he does not have to. His parodies don't even typically make any sort of point. Please explain what you think makes his and Goldieblox's legal sitations different.
So, if a "function" performs the task of calculating the square root of a given number, copyright law will not protect that task. Someone else can write their own "function" that performs the same task. However, copyright law may protect the literal letters, symbols, and numbers that constitute that "function."
This is you explicitly stating that an API is not protected.
An API is a listing of method calls that can be made, their inputs and their outputs. Using your words, the API is a list of the "tasks" you can ask the software to perform. The API may state that sqrt(x) returns the square root of x. Anyone who implements the API is saying they will take a request from you for "sqrt(x)" and return you the square root. The API says nothing of how that is done. They could use any number of languages, any number of algorithms. For all you know, when you call my implementation of the sqrt(x) function, my code could text me x and wait for me to text back the answer.
In the wording you're using, the "function" is the implementation. Anyone can write their own code to perform that task, which can definitely be copyrightable. However, the description of the task being performed should not be.
Let's say I'm handing out free cups of lemonade on the sidewalk. I have so much lemonade that I will give you as many cups of lemonade as you want. Someone comes up with a wagon and asks for 30 cups, which I gladly give them. They then wheel their wagon a couple blocks down, where they set up a lemonade stand selling it for 25 cents a cup.
Where have they broken the law? They have taken something that is freely available in one location and charged to provide it in a different location. Nothing more.
But see, if he leaves Russia that's proof he's a Russian spy! It's an obvious ploy to throw us off his tracks, so I can clearly not choose the wine in front of me. But if he stays in Russia that's proof he's a Russian spy, too. Why else would he stay there? So I can clearly not choose the wine in front of you.
...Torch found that two-thirds of babies who had died from SIDS had been vaccinated against DPT (diphtheria–pertussis–tetanus toxoid) prior to death...
...No adjustment was made for national vaccine coverage rates—a percentage of the target population that received the recommended vaccines. However, most of the nations in this study had coverage rates in the 90%–99% range for the most commonly recommended vaccines...
So ~66% of the ones that died had been vaccinated, whereas ~90% overall had been vaccinated. That's not exactly convincing evidence that vaccinations are causing said deaths, it's more likely to make me think they decrease the risk of infant mortality. Then there's also this:
...Although most of the nations in this study had 90%–99% of their infants fully vaccinated, without additional data we do not know whether it is the vaccinated or unvaccinated infants who are dying in infancy at higher rates. However, respiratory disturbances have been documented in close proximity to infant vaccinations, and lethal changes in the brainstem of a recently vaccinated baby have been observed...
In other words, we don't actually have much data to support our hypothesis. We just have some data and a plausible sounding explanation for it, and we have some assumptions that because a thing has happened before, it is likely to happen.
Awesome, I'm in the clear! My TV gets one channel very spottily. I only know this because it insisted on searching for channels when I first turned it on. And I can honestly tell you that I've bought every product that I've seen in a commercial on Netflix.