If you think I have made an error, feel free to point it out. I prefer being corrected than being wrong.

I’ve never understood why people are so reluctant to admit mistakes. Insecurity? I have no problem with it.

Cost to give every household rooftop solar: 133m × $22.5k = $3b

Should be “133m × $22.5k = $3000b”… or 3 trillion. You don’t think the right side of the equation is part of the math?

Nah, I messed up looking at the answer, not with the math.

You messed up the math, so how is this admitting your mistake?

This doesn’t risk their NATO membership at all. Why would it? They’re an important strategic ally. Jailing a genocidal war criminal wouldn’t change that much. The US might even support using him as a fall guy if that keeps popular support for Israel as a state.

Didn’t his net worth increase by something like 2.2 billion dollars as president? (…so_far.gif…)

Must be really good at predicting the markets, somehow. He’s perhaps not that irrational when you consider his actual priorities (himself and his family), not whatever he is saying (MAGA).

I just learned that people who are allergic to shrimp are also allergic to cockroaches.

Trump was not ever going to try to stop it, he supports genocide and war crimes. Remember him telling Israel to “finish the job in Gaza”?

Republican Donald Trump has called US President Joe Biden “a very bad Palestinian” who doesn’t want to help Israel “finish the job” against Hamas in its war on Gaza.

“He doesn’t want to do it. He’s become like a Palestinian – but they don’t like him because he’s a very bad Palestinian, he’s a weak one,” former president Trump said in the first presidential debate with Biden on Thursday in Atlanta, Georgia.

And following up on that threat was obviously going to be horrible for the people in Gaza.

But please continue patting yourself on your back…

Good. I remember my parents boycotting South Africa over apartheid. Israel is acting much worse than they were.

Obviously wrong.

As far as I can tell, his involvement is investing in a rare earth mineral company as part of a green energy initiative. I don’t see anything connecting him to some “freedom city”. That’s Peter Thiel: https://www.insidehook.com/internet/peter-thiel-praxis-next-great-city-greenland

Moving the goalposts is an informal fallacy in which evidence presented in response to a specific claim is dismissed and some other (often greater) evidence is demanded.

Your original argument was that this conflict was opened by kidnapping the head of a state.

Faced with a counterpoint, you’re arguing it’s not like a much more serious invasion.

True, but that’s not invalidating the fact that it was not opened by a kidnapping.

Have you heard about the expression “moving the goalposts”?

Also cementing USA’s new reputation as an unreliable business partner.

“roughly five weeks”

Since weeks are counted from the beginning of her last period, not conception, this operation must have happened within one week of her missed period. Perhaps it wasn’t so clearly within the law.

I pasted 1k line C++ file into Gemini, along with a screenshot and a trace log and asked it to find the bug. It reasoned for about 5 minutes. Extract of the solution:

There has to be an issue in this sequence for i=21:
V_to_next_xy (norm) is (5.00004113497265e-08, -0.999999999999999, 0). (Correct)
Unnormalized perpendicular P_un = Vec3(V_to_next_xy.y(), -V_to_next_xy.x(), 0.0) should be (-0.999999999999999, -5.00004113497265e-08, 0).
temp_bisector becomes P_un.
temp_bisector.normalize() is called.
The result of this normalization is logged as temp_bisector (result of collinear path): (-1.78813934326169e-07, -0.999999999999984, 0).
This step (5) is where the numerical error occurs. The vector (-0.999…, -5e-8, 0) when normalized should not become (-1.78e-7, -0.999…, 0).
The latter is almost parallel to (0, -1, 0), while the former is almost parallel to (-1, 0, 0).
It’s as if temp_bisector.normalize() for the input (-0.999…, -5e-8, 0) is producing something wildly incorrect, or the vector being normalized was actually (-1.78e-7 * L, -0.999… * L, 0) for some L.
What if temp_bisector = Vec3(V_to_next_xy.y(), -V_to_next_xy.x(), 0.0); itself has precision issues?
If V_to_next_xy.y() is -0.999999999999999 (16 nines), this is -(1.0 - 1e-15).
If V_to_next_xy.x() is 5.00004113497265e-08.
Vec3 tmp = Vec3(-(1.0-1e-15), -5.00004113497265e-08, 0.0).
This should be fine.
The most plausible candidate is Vec3::normalize() failing on this specific input vector (-0.999999999999999, -5.00004113497265e-08, 0).
Perhaps length() computes sqrt(xx + yy + zz).
xx = (-(1.0-1e-15))^2 = (1.0-1e-15)^2 = 1.0 - 2e-15 + 1e-30.
yy = (-5e-8)^2 = 2.5e-15.
xx + y*y = 1.0 - 2e-15 + 1e-30 + 2.5e-15 = 1.0 + 0.5e-15 + 1e-30.
length = sqrt(1.0 + 0.5e-15 + 1e-30). This is extremely close to 1.0.
If this length calculation has any error causing it to be, for example, abs(y) by mistake, then x/length would become x/abs(y) and y/length would become y/abs(y) = sign(y).
x/abs(y) = -1.0 / 5e-8 = -2e7. This is not what’s happening.
The logged value for temp_bisector (-1.78813934326169e-07, -0.999999999999984, 0)
is suspicious because its X component -1.78813934326169e-07 is very close to the X component of V_to_prev_xy (norm) from loop i=21, which is -5.00004113497265e-08, divided by a factor. Or perhaps V_to_next_xy.x() itself was somehow used more directly than -V_to_next_xy.x() in the Y component of the vector passed to normalize.
The logged temp_bisector (result of collinear path) for i=21 is (-1.78813934326169e-07, -0.999999999999984, 0).
Consider Loop i=20: temp_bisector (result of collinear path): (1, 0, 0). Its input for perpendicular construction was V_to_next_xy (norm) = (X_v: 4.9999318885022e-08, Y_v: -0.999999999999999, Z_v: 0).
Perpendicular from this is (Y_v, -X_v, 0) = (-0.999…, -4.999…e-8, 0). Normalizing this gives (-1, -4.999…e-8, 0).
The log for i=20 says it becomes (1,0,0). This is also wrong. It should be (-1, -very_small_y, 0).
The fallback temp_bisector = Vec3(1,0,0) only happens if temp_bisector.normalize() (the one on the perpendicular) also fails.
It seems the normalize() call for the vector constructed as Vec3(V_to_next_xy.y(), -V_to_next_xy.x(), 0.0) is problematic when one component is very small.

It correctly identified that sqrt(_v[0]*_v[0] + _v[1]*_v[1] + _v[2]*_v[2]); had too low precision and using std::hypot(_v[0], _v[1], _v[2]) would likely solve it.

If this is just autocomplete, then I agree that it’s a pretty fancy one.

They installed some sort of sound isolating suspended/floating (?) ceiling in my apartment. I absolutely love it. In my neighbors apartment I could constantly hear people above, but in mine it’s almost always silent.

The US started using mailboxes 14 years after the UK

In 1849, the Royal Mail first encouraged people to install letterboxes to facilitate the delivery of mail. Before then, letterboxes of a similar design had been installed in the doors and walls of post offices for people to drop off outgoing mail.

In 1863, with the creation of Free City Delivery, the US Post Office Department began delivering mail to home addresses.

I read newspapers in several languages and see your strawman in comments all over the world: Criticizing Israel means supporting Hamas.

In reality pretty much everyone is explicitly not supporting Hamas terrorists while arguing for a stop to the Israeli atrocities.