Are we sure this is MK8 and not some MK9?
dfyx
So? Just because it isn't useful for you that doesn't mean it isn't useful for others.
- posted from my Framework 13 running Windows
Well, quite literally. The park lies on that exact border.
Guter Knecht. Schnapspraline?
Here in Germany, we celebrate mostly on Christmas Eve. I have a couple of hours left to get ready before my stepdad picks me up. We'll visit my grandma who sadly has to spend the holidays in hospital because she fell and hurt her knee. After that, Christmas dinner at my mom's and stepdad's house with most of the family, gifts and a relaxed evening. I'll stay over night, have breakfast and then go home to finish packing everything I need for my winter vacation which starts on the 26th.
It's been an exhausting year and I can really use the downtime.
Ich persönlich lasse einfach für jeden (bzw. jedes Paar) einen Kalender mit Fotos, die ich im Lauf des Jahres geschossen hab, drucken. Manche kriegen noch was oben drauf, aber so hat jeder zumindest eine Kleinigkeit.
With the trend to make ever larger but thinner phones, we'll eventually end up with an A3 sheet of paper. I just want the 5/5S/SE1 or Mini form factor back. I don't care about thin phones, only about being able to use the whole screen with one hand.
I have a wishlist that I share with my family and close friends. People follow that list unless they have an idea that they're 100% sure about. I think the only times I got an unwanted gift was things I already had. Either because something went wrong coordinating between people (rare, everyone knows they can contact my partner to ask what's still available) or because they accidentally bought the wrong thing (like the first book of a series instead the second one).
The only exception ever was during a single https://givin.gifts/ secret santa exchange where someone at the same time a) completely ignored my profile, b) gifted something below the stated minimum value, c) didn't wrap my gift, d) didn't include a card and e) didn't include any packing material. They just threw a random 5€ item from the supermarket into an unpadded box and called it a day.
German here, we have the same thing (du vs. sie). Our rules may be slightly different than dutch but probably similar enough.
Police: definitely formal unless the officer is someone you know privately.
Shop: usually formal though some hobby-related shops (think GameStop or board games) might prefer informal.
Campsite: probably informal
As a general rule of thumb: informal is used with first names, formal is used with last names. Think about which name you would use in English and go with that. If in doubt, use the formal version or ask.
One important addendum: complexity classes always consider how hard a problem is depending on the input size. Sorting is in P (usually O(n*log(n))
, so one of the easiest problems overall) but given a few trillion inputs, it would be pretty much impossible to solve on consumer hardware. On the other hand, problems like 3-sat, the knapsack problem or travelling salesman are all NP-hard but with small enough inputs (up to a few dozen or so), they are easy to solve, even with pen and paper and are even regularly included in puzzle books.
The diagram is pretty good but your interpretation is not quite right, especially for NP-complete and NP-hard.
NP-hard means "at least as hard as all problems in NP", proven by the fact that any single NP-hard problem can be used to solve the entire class of all NP problems.
NP-complete means "at least as hard as all problems in NP and itself also in NP", so the intersection between NP and NP-hard.
The thing about P = NP or P != NP is something different. We don't know if P and NP are the same thing or not, we don't have a proof in either direction. We only know that P is at least a subset of NP. If we could find a P solution for any NP-hard problem, we would know that P = NP. That would have massive consequences for cryptography and cyber-security because modern encryption relies on the assumption that encrypting something with a key (P) is easier than guessing the key (NP).
On the other hand, at some point we might find a mathematical proof that we can never find a P solution to an NP-hard problem which would make P != NP. Proving that something doesn't exist is usually extremely hard and there is the option that even though P != NP we will never be able to prove it and are left to wonder for all eternity.
Actually, isn't this the optimal outcome? The new "security" features are now optional for those who want them. Everyone else can choose developer mode, has all the old features and is responsible for securing their network. We could argue if opt-in or opt-out is better but I see the argument for having "security" features enabled by default.