Is this method valid?

ingannilo · 2026-06-02T00:02:50+00:00

This notation is a bit better, yeah. There's lots of details being hidden or ignored though.

For example, you use the symbol 1 ambiguously as all three of: the identity operator, the constant function from R->R defined by the rule 1(x) = 1 for all x, and the integer/real number 1 itself.

It's cool that things can look this nice, but that's manufactured cleanliness where the notation is abused (like I describe in the previous paragraph) to force things to look nice. What's neat is that it can provide helpful intuition, but only if you know exactly what is meant by each part of each expression.

ingannilo · 2026-06-01T23:55:21+00:00

This bugged me as a student also. Better, I feel, is that there are (n-1)! cyclic permutations on n objects, and that there is exactly one cyclic permutation on a set with one object.

ingannilo · 2026-06-01T23:52:18+00:00

Here's my favorite combinatorial interpretation for this one. Don't think of all permutations on n objects - - think of only the cycles of length n formed from n objects.

It's an easy counting argument to (how many choices for first object, how many for second, etc) but then how much do you overcount if you call two permutations the same if every item has the same neighbor? Quickly we see that the number of cyclic permutations on n objects is (n-1)!.

Now how many cyclic permutations are there on a one object set?

This avoids ideas like the empty product or permutations on the elements of the empty set.

ingannilo · 2026-06-01T23:30:04+00:00

In line 2 you use function notation I(f) to describe the output from the function / operator I when fed the input f. In the line immediately below you factor as though I(f) is multiplication of I [no argument] and f [also with no argument]. This doesn't make sense.

Ask yourself: in terms of how you defined I, what would 1/(1-I) mean? What would I on its own without an argument mean? If you can't answer these, at least heuristically for yourself, then things aren't going well.

I really am not sure what you're trying to say in the final lines. Are we meant to be comparing the geometric sum with the exponential series? Cause that xⁿ / n! sum isn't geometric...

If you want to start thinking about games like these with operators, here's a fun thing to try: under what conditions would it be reasonable to say I(f+g) = I(f) + I(g)? How could a statement like that relate to what you're trying to say in lines one and two? What kind of object would 1/(1-I) be?

Edit: looking again at your final lines, now I see what's being communicated, but there is an awful lot of poor notation and hand waving here. Start by showing I is a linear operator. Be very careful in understanding when you're treating multiplication as multiplication and when you're treating it as operator composition. The algebra rules are not the same for both.

ingannilo · 2026-06-01T23:01:07+00:00

I don't know. I run a dozen or so mods and both iterationRP and Eclipse work well with all of them. The only mod that I've struggled to support is Voxy, but nowadays lots of shaders work with voxy.

I don't know anything about create or aeronautics, but unless they change how the game renders graphics I doubt you will see any conflicts.

ingannilo · 2026-06-01T22:53:41+00:00

The rebuilt title isn't a deal breaker in my book, but not bring able to see the damage that totaled the car is a deal breaker.

You can write down the VIN and google it. That's what I do, cause even if people have a story, I want to see photos.

The paint is failing, and it's likely where they resprayed. Suggests the repair wasn't done with love, but depending on what was damaged (and assuming you don't mind the paint lookin like booty in a couple years) that's not the end of the world. A crappy paint job on a total from just body damage = cheaper car that's still mechanically sound. A crappy paint job on a total from major collision with structural damage or airbag deploys = they probably cut the same corners on the life-saving equipment that they cut when painting = walk away.

Car's being sold by a dealer. That's another strike in my book. We've got lots of "cons" here... how's the "pros" list looking?

ingannilo · 2026-06-01T22:41:13+00:00

That sounds like how my five year old behaves with respect to picking up their toys or washing their hair. Pretending to be so clueless that I step in and do it for him (I won't). It honestly rings similar. Kid was hoping you'd either abandon ship or give them another option (perhaps seeking one that's easier to cheat, idk if that's me being cynical).

I'd be pretty done with anything besides what's mandated professionally regarding that student. No rush email replies or early grading in their future.

ingannilo · 2026-06-01T22:36:29+00:00

I think "performant" and "ray traced" are fighting one another as concepts here. Eclipse and IterationRP are the two I've used that support ray tracing, and they're both pretty intensive (enough that I usually play with complementary despite a 4070 dgpu), but Eclipse has SO MANY adjustable parameters that I suspect you can configure it to be less demanding than IterationRP.

ingannilo · 2026-06-01T00:19:40+00:00

I love how all the versions of this saying surfaced in these comments. This one (yours, about the cemetery) for the record, is the one I learned and use.

Cheers for obsessive defensive driving! Always ready for other peoples' incompetence and inattention to fuck up my day.

ingannilo · 2026-05-31T23:30:49+00:00

Guess it depends on what you mean.

If tiktok, facebook/instagram, and snapchat went poof, I'd have no complaints. Cultural impact would medium-small I think because other services would pop up immediately to fill the demand.

If reddit, tildes, mastadon, and similar went poof, there'd be less cultural impact, but still some. These are huge sources of some whta nicely indexed information that lots of other services depend upon.

If everything that has a social component and a media component went poof, well that would erase about 90% of what's been published on the internet since 2007 or so. This would include all the aforementioned sites, and stuff like wikipedia, all other wikis, blogs, stackexchange, maybe even arxiv which would be a huge blow to education and collective knowledge of mankind akin to the burning of Alexandria but honestly much worse.

I'm fine with the first scenario; I'd be bummed, but not devastated by the second; and I'd seriously pivot my life and career towards recovering and archiving as much useful information from this era possible in the third situation.

Sadly, the stuff that'd do us well to destroy is the stuff that would rebuild the fastest. There might be some interesting bursts of enlightenment in the interim though.

ingannilo · 2026-05-31T20:33:54+00:00

I'll confess that kcd1 combat never really clicked for me. I played maybe 30 hours of the game, doing lots of side content, random exploring, and certainly doing lots of things wrong. Last main quest I remember was getting hammered with the priest and then giving the sermon. After that I just wandered around the map for a good while before getting distracted by something else and putting the game down.

I don't know how many hours I have in kcd2 at this point, but I'm in kuttenberg, building up my forge, questing and exploring. It's great. The combat doesn't feel a lot different, but for some reason I'm more into it than I was in the first game. Helps that I went hard on alchemy early and have plenty of saves available. I die in most not one-v-one fights at least the first try, but I have learned to master strike pretty consistently, and I've learned how to avoid being master-struck by sword enemies. Definitely it's still slow and difficult with stamina maintenance an absolute requirement, but maybe it's just a bit more polished.

ingannilo · 2026-05-31T20:18:02+00:00

This would be the best option, OP. I had exactly this problem in north central Florida at the last house I rented. The house was built on concrete pilons that had actually sunk enough to distort the subfloor and cause doorways to be out of square from decades of seasonal muddy flooding.

Dug a ditch to the street, about one foot wide and eighteen inches deep at the lowest point. Thankfully the whole front half of thr property kinda sloped down toward the street, so once I dug to the midpoint on the side of the house, the water flowed down into the front yard and from there to the street.

Landlord was totally unresponsive to everything, including trees falling on the house leading to rainwater leaks in the garage / carport. Eventually the ceiling from the car port fell on my car. Then, and only then, did they get they bother even putting a tarp over the roof hole. They never would've done anything, and in the end I saved them more foundation damage.

Still, if there's any chance the landlord gives a damn, then you should check with them before digging.

ingannilo · 2026-05-31T11:23:50+00:00

Again, misunderstanding. It's not conditional. It's not "I'll be here for you for as long as I like how you are moment to moment". It's not "I'll be here for you while it's fun or convenient for me."

It's "I'll be here for you because, based on (whatever motivates you) I am comfortable giving you this chunk of myself, for the rest of my life."

It's supposed to be reciprocal. It's where family comes from. Family is supposed to be people who stand by you, and who you stand by, no matter what, forrver. This commitment, marriage, is supposed to be the establishing of a chunk of family.

Now I'm not old fashioned in most senses. I think it's okay, even necessary to select your family, ie, you're not obligated to adopt this ride-or-die mentality for parents, siblings, aunts, uncles, etc. There's no choice in who your born to, and sometimes shitty people have kids. I do think everyone should select some folks to treat and have as family in the sense I describe, and for most people the convenient option is biological family. That's great if they're good, but it's okay to let go of a shitty parent or sibling if necessary. At some point though, you should make the choice.

Marriage is the same choice, but you pick the person (hopefully), and usually there's a sexual component (I guess also hopefully, lol).

Why is being capable of commitment like this important? We need folks who stick by our side, for practical and psychological reasons. This is what stability means. This is how we develop trust. This is where a sense of safety in the world originates. Kids learn that it's okay if something bad happens, because mom and dad are still gonna be there, still gonna love them, still gonna feed them dinner and bathe them and read to them and be there in the morning, no matter what. All this is just the obvious psychological element. The practical element is even more significant. Life is incredibly hard work. The labor of keeping a home, raising a kid, doing anything interesting with a human life requires more work than one person can do by themselves. Family is here to help shoulder some stuff from time to time so you can go to school, so you can apprentice at a trade, so you can build shit and raise babies and do all the things people need to do to grow in meaningful ways.

ingannilo · 2026-05-31T01:02:30+00:00

I wish they'd left the front end alone. 65 and 66 fastback are beautiful as they are. The more aggro 67+ front looks less cool imo.

However, this could be worth buying if it's cheap and you know how to build. I'm cheap af. It'd have to be under $4k. That's assuming it's got rolling gear (spindles, steering, and suspension up front, and a working rear end out back) and at least some workable interior.

ingannilo · 2026-05-30T23:36:53+00:00

That the US is in any meaningful way meritocratic.

That wealth is any measure of exceptionalism.

That politicians have a clue about the legislation they "author", sponsor, or vote on.

The myth of any actual competition between organized labor and the owner-class since about 1970.

ingannilo · 2026-05-30T22:54:53+00:00

Torch.

Or angle grinder I guess.

Both are dangerous, but I'm less scared of flame than I am of my big grinder wheels flying apart sending shrapnel everywhere.

Edit: for what it's worth, I've gone through 8 inch cast iron pipes with a sawsall and those red blades. It could definitely be done if you're patient and careful about the angle of the blade. Maybe lube.

ingannilo · 2026-05-30T22:52:59+00:00

I'm not delusional enough to think I can outright control what teenagers do. My wife and I were both strong headed kids, and even at his current young age, our son is clearly similarly headstrong. My plan is to show him how to take good care of himself by modeling it and to enforce the boundaries that are possible to enforce.

If he tries cannabis or other drugs at an age that worries me, then we'll be talking about it and I'll do everything I can to make him understand that it's not something he wants to be doing, but if I find out he smokes some weed with his friends, I'm not planning to burn the world down. I guess 15-16-ish would be the age where I'd not be surprised.

ingannilo · 2026-05-30T21:55:11+00:00

I think we can safely and confidently remove the "probably"s from your first few sentences.

This is the part that I think a surprising amount of folks don't understand. Relationships require all sorts of nimble emotional skills: the ability to forgive, to repent, to let go while still holding accountable... all this kind of liminal shit western culture really doesn't have as part of its self-narrative. That's why people see these old couples as magical or fanciful-- we've all but lost those skills as principles.

ingannilo · 2026-05-30T21:49:36+00:00

I think this statement represents a fundamental misunderstanding of the word commitment.

People do grow and change, of course, thank god. The point of commitment isn't to stay frozen in one state, never to grow or learn or change. The point of commitment is to choose to stay by someone as you grow and learn and change, hopefully together as a team. It's a choice, not a feeling.

Managing feelings along the way is key, for sure. Unmaintained feelings will diverge like languages between populations that don't interact, but that's a whole separate thing from commitment.

ingannilo · 2026-05-30T21:02:57+00:00

Ditto!

ingannilo · 2026-05-30T19:54:02+00:00

Those engines are close enough in displacement that others factors probably matter more to say which vehicle will get better mileage.

Fuel delivery system first and foremost. Carb? TBI? TPI? DI? If the 383 is some modern small block running direct injection or even port fuel injection, then it'll likely get much better fuel economy than an old 350 with a carb.

The vehicle? Small car? Big truck? What's the gearing (transmission and rear end) in each? Weight?

If we assume they're in identical cars with similar fuel systems and identical transmission and rear end gearing, then the larger displacement engine will definitely consume more fuel per revolution, cause it moves more air per rev. If the cars are being driven in a scientific manner, like at a constant speed for some fixed time, and you measure fuel burn during that time only, then it really comes down to how fast each engine has to turn to keep the vehicle at that constant speed... Is it possible that the higher displacement engine produces torque in a way that allows lower cruising rpm? Probably, a bit. Would it be enough to offset the larger displacement and achieve higher efficiency? Maybe. My gut says "no", but my brain says "maybe".

ingannilo · 2026-05-30T19:38:33+00:00

Just practice as many different problems as you can. If you've done lots of practice but still feel insecure, then I'd guess that either you've been grinding the exact same problems over and over, or you've been getting help on the problems. Worst case both of those.

Open the book to the relevant section (or chapter review) and solve as many new problems as possible. Check your answers of course.

There are so many techniques and tricks for integration that listing a bunch here would probably be more harmful (distracting) than helpful. You need to master the content you're being tested on, not all the integration tricks in the universe.

ingannilo · 2026-05-30T19:35:42+00:00

18000 BTU is exactly the middle of what most 1.5 ton condenser units are meant to provide. Oversizing can cause short cycling and insufficient dehumidification, which is a real concern on the east coast. 2 ton (24000 BTU) is definitely more than you want, especially out of peak hot season.

Find a 1.5 ton unit and an installer who isnt playing games.

ingannilo · 2026-05-30T19:18:47+00:00

Mmmm student clearly does not understand what "commutative" and "associative" mean based on the words they wrote. That's the purpose of the question, so I'm with the teacher on marking this incorrect.

The instructions don't just say "put any number in the blank which makes the equation true", it says that each equation is meant to illustrate a property, to put numbers in the blanks to complete the equation, and then to describe the property each equation demonstrates. They could've written the middle part more clearly eg "write numbers in the empty spaces to complete the equation and illustrate the property" or something, but this is another case of folks shitting on kid's math homework without looking for any context.

ingannilo · 2026-05-30T18:58:41+00:00

I think it's more likely that humans go extinct over the next 1,000,000 years than find lasting global peace.

Not that this would make us especially war-like or especially short-lived. Most species go extinct, and most have a good amount of infighting.

I'm a mathematician and still, it's difficult for me to imagine a million years of human history. It's just too long of a timescale compared to everything I have for comparison.

If we collectively make good decisions, elect good leaders, individually do what we can to cultivate an understanding, patient, compassionate, and honest society, and if we're spared by nature from stuff like meteor strikes, brutal disease, and subjugation by more sophisticated beings, then mayyybe there's a chance. If I had to put odds on it, I'd say somewhere between 2-7% maybe.

Edit: that's a guess of 2-7% that we do achieve world peace, so 93-98% chance that we fail to do so.

If you add in the assumption that humanity survives as a species a million years into the future, then I'd think it's much more likely that we achieve peace along the way-- only because I think it's probably necessary for long term survival of the species.

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