Time for a completely sober post.
Computers are making us dumb. I have a HP calculator that has thousands of equations built in to it. I suppose I could plot a trajectory to the moon and back just with my HP.
So why is a calculator that has all of the abilities that mine does make me dumber? Because we do not have to think anymore just input the variables and hit enter. Instead of taking a equation and paper and pen to task for a great afternoon of thinking we have turned to having everything solved for us.
I love math I really do. It saddens me to think that much of the critical thinking that used to be involved with solving issues has disappeared. I think back about the skunkworks during the time that the blackbird was built. They built that bad boy with a slide rule and had to not only know the equation but understand how it worked. Those boys understood math
Please do not get me wrong as I know that many fine folks still love equations and try to understand WHY they work. But those of us who do think that way are sadly becoming fewer and fewer as more people depend on the machine to spew out the answer.
Getting off my pile of equations now and resuming a normal posting mode