I visited my in-laws over the holiday break. They have 2 border collies (and really shouldn't but that's a whole nother other...). Both border collies absolutely lose it barking and aggressively posturing when anyone but MIL/FIL enter a room they are in, UNLESS MIL/FIL are not home. Then they can't be bothered to even sit up from where they are napping.

I find this behavior really confusing. It appears the dogs are ?protecting? my in-laws, and that in-laws have somehow unwittingly trained them to do so?

After they're done barking they're affectionate and playful. I'd love to find a way to encourage the dogs to skip straight to the petting/play time.

Thoughts? Advice?

thanks in advance Tildes!

bit of a dated post but something I am curious about. I watched Terence Howard's first appearance on Joe Rogan and found it mostly funny but something he pointed out did pique my interest.

the root of his issues with basic math seem to stem from a fundamental misunderstanding (or dislike?) of 2 things in particular:

1. that any number multiplied by a fraction results in a smaller number (basically he struggles a lot with logic of fractional math) and
2. the fact that for x where 0<x<2 , that x² < x*2 when he is apparently under the notion that x² should always be bigger than x*2 and to him, the fact that that isn't the case for 0<x<2 is evidence of some big mystery or conspiracy

but it did make me wonder if there's a certain name or property given to the numbers where 0<x<2 to note the fact the fact that for those numbers, x² < x*2?