Earlier quoted context omitted.
I think the write up seems to bring the indirect point that AI has limited use cases currently. So instead of taking the traditional Apple approach with showcasing the technical aspects of the product (an example being Apple has highlighted photography and video a lot in the last few generations of iPhone), instead Apple falls back on cheeky ads, which to be fair, are also not new to Apple marketing. I do think that…
> I'm, personally not a fan of the current generation or implementation of AI and do not want to use it. Why not? It gives vastly better than human performance across a wide range of problems. Just this morning I asked Chat GPT to find me the smallest set of positive integers whose median is 2 and whose average is 3.75, and it just spit out the correct answer instantly. That would have been an enormous pain in the as…
For a list of just one or two integers the median and mean are the same so we can rule those out.
For a list of 3 integers the average is their sum divided by 3. But 3 times the average we want (3.75) is 11.25 which is not an integer. That eliminates lists of length 3.
On to lists of length 4. In a sorted list of length 4 the median is the average of the middle two numbers. The only pairs of 2 positive integers that average 2 are {2, 2} and {1, 3}. That gives us these templates for possible lists:
{a, 1, 3, b}
{a, 2, 2, b}
Remember, these are sorted and they are positive integers. In the first then the only possible value for a is 1. In the second a could be 1 or 2. Our templates are now {1, 1, 3, b}
{1, 2, 2, b}
{2, 2, 2, b}
For 4 positive integers to have a mean of 3.75 their sum must be 15. Setting b to make the sums 15 we get these as the possible solutions: {1, 1, 3, 10}
{1, 2, 2, 10}
{2, 2, 2, 9}
A quick glance to make sure that the 4th number didn't end up smaller than the 3rd number, and we are done.