observantTrapezium

Inuvik, NWT, with a 2021 census population of 3,137 is the fifth largest settlement in Northern Canada (north of the 60th parallel). At "only" 68°22′ north, it doesn't even quite make it to Wikipedia's list of northernmost settlements. But that is the most populated town in Canada whose antipodal point lies within the continent of Antarctica. The antipodal point is the point you would get to if you could drill directly down through the centre of the Earth and come out the other side (also, it is the most distant point on the surface of the Earth, which is always approx. 20,000 km from the original point). Yellowknife and Iqaluit, the capitals of the Northwest Territories and Nunavut, respectively, have antipodal points that lie at sea close to the Antarctic mainland, within a few hundred kilometres from shore.

I found that interesting because while Inuvik is certainly cold most of the time, it's still surrounded by a lush boreal forest and the warmest couple of months of summer are fairly pleasant. I've personally never been, but a friend of a friend lived there for years and still goes there. The antipodal point though is a white desert. About 300 km from that point, on the much milder coast (the antipodal point itself is more than 2000 metres above sea level), one finds Dumont d'Urville Base, a a French scientific station, which is completely barren of vegetation and is barely above freezing during summer (at least they have penguins).

The reasons for the difference in climate are many, but the Antarctic Circumpolar Current is probably mainly to blame, together with the high elevation of the surface and high albedo of the ice.

I'd like to hang vertical blinds on my floor-to-ceiling windows (272 cm in height). Ceiling is concrete and has a rail already mounted.

The off the shelf solutions I see have mounts that are fixed to a wall, not to the ceiling.

• Can I fix a mount to the white window frame shown in the picture?
• If not, is it a good idea to remove the existing rail, and use the existing holes in the concrete to hang a mount for the vertical blinds mount? Perhaps with a right angle bracket?

I don't seem to understand something regarding how interest is paid on a mortgage. Say the loan is for $100,000 at a 5% rate for 10 years, paid monthly.

I would think that on the first month, the interest I have to pay $100,000 × (0.05 ÷ 12) = $416.67. However the mortgage calculator says that the first payment is actually $412.39. While it's not a huge difference, it's a difference nonetheless and I can't really figure out where it comes from.

My intuition is that it's somehow related to the fact that interest is compounded daily, but when I take r = 0.05 ÷ 365 and N = 365 × 10 payments (keeping leap years in mind for later), and calculate the first 30 days, I get $409.70, and the first 31 days give $423.32. I guess that the "actual" number is some kind of weighted average since the calculator doesn't ask at which month your loan starts.

So where is this $412.39 coming from? In reality when paying a mortgage, do you see the interest fluctuating as it decreases, depending on the number of days every month?

I recommend watching the whole interview, it's hilarious.

The picture is from very early in the episode, I'm trying not to spoil it to anybody. The new Star Trek show "Strange New Worlds" just released an episode that mostly takes place in present-day (more-or-less) Toronto, with familiar city sites in almost every scene. It's a pretty good episode for Kurtzman-era Trek, although it's hard to concentrate on the plot as Torontonians.