On a lighter note - On a rural ride through a strange neighborhood, I was once chased by a very large floppy hairy Golden Retriever with a lumbering gait, loose teeth, fading eyes, and snow white muzzle. His low bark was horse and of short lung capacity, but he made a broad effort to be intimidating. I slowed and stopped for fear he would collapse. He slowly walked up to me tail wagging, sniffed my gloved hand, then gave me a lick. I could not help it, I turned around and walked him back to his driveway and told him to stay. Now when I pass that way, he just gives me a woof from his porch pillow accompanied by what's left of a good tail wag. It sucks getting old and retired...
Hope someone walks me back to my driveway next time I make the effort...
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No matter where you're at... There you are... Δf:=f(1/2)-f(-1/2)