Linear programming (LP, also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear programming is a special case of mathematical programming (also known as mathematical optimization).
More formally, linear programming is a technique for the optimization of a linear objective function, subject to linear equality and linear inequality constraints. Its feasible region is a convex polytope, which is a set defined as the intersection of finitely many half spaces...
@Cerberus It's also a matter of mindset. I've seen a lot of people decide math is impossible for them.
@Cerberus For stuff like x^2<4? Yes, that's precisely the term.
@Cerberus Used to be. :(
@Cerberus Around that age kids here start what translates directly to "upper school". After three years of that there's three years of lyceum/highschool/doesn'ttranslatewelltoenglish.
There's kindergarten which many parents choose to put their kids to, but nothing compulsory. The last year of kindergarten is called pre-school, and that's very rare not to go to.
@Cerberus It's weird how the Bologna process standardizes university level studies but the foundations before university vary greatly.
Not that I'd blame anyone for that, but the realization of different backgrounds and school cultures sometimes causes difficulties.
@Cerberus I've seen an unfortunate number of Asians with insufficient English skills. Apparently the language is not given enough emphasis in their education system (which I'm utterly unfamiliar with).
The numbers in Wikipedia vary quite a bit between countries.
In Israel they start at 3!
@Cerberus There's truth to that. They can work harder, but it can take a while to learn thinking on their own.
@Cerberus My department has had quite a few Asian grad students (mostly Chinese). While I haven't supervised or otherwise worked with them, I've interacted otherwise and spoken with more directly involved people.
@Cerberus That's possible, but I'm not buying it so quickly. Finnish is far from English as well, both in structure and soundscape, but Finns manage English (to varying extents).
But to be fair, I don't know practically anything about Chinese.
@Cerberus Quite possibly more than their Chinese counterparts. I suspect it has more to do with the English teaching methods. I understood that there's a big difference.
@Cerberus I've heard miscellaneous stories about not writing English with the Latin alphabet and not learning to pronounce and only learning to translate and similar.
@Cerberus It's hard to compare. There's no unschooled parallel life.
School isn't mostly about concrete and specific facts although it formally promotes them. Ways of thinking, conversing, understanding, and working bear more weight.
I remember being in China a couple of years ago and it occurred to me that Google doesn't work there. I knew it was blocked, so I needed another search engine. My next thought was to google for one...
My mother, for example, cannot tell whether a certain dialogue came from a website or from Windows. That level of not understanding one's computer is just unimaginable to me.
I've heard people in IT complain that many people can't install a program although it only involves opening an install wizard, clicking OK a dozen times and making two or three simple choices. They just see popups as some dangerous magic instead of reading them and figuring things out.
It is true that computers and operating systems and the way we have to work with them were never designed with security as a primary concern. People just don't know how to tell whether something is safe.
The funny thing is no one is born knowing how to use computers or understand how the web works. You have to use it, read, and learn it. To me the problem isn't that it's hard to understand, it's that some people just don't want to put the effort into understanding it
@Cerberus Safety concerns are legitimate, but it often goes more towards helplessness. "What do I do now that the thing asks if I want to save before exiting?" I feel silly that it genuinely helps that I tell them to decide whether they want to save the file before exiting the program.
@Adam That reminds me of a French class I took years ago. I followed happily when the teacher told some basic grammar, but a bit later someone had to ask what this "adjective" thing is. It's very hard to get far without understanding basic structures.
@JoonasIlmavirta very true! I appreciate in Wheelock that he takes the time in the beginning of the book to explain basic grammar. Not because I don't understand basic grammar, but because it's also been 30+ years since I learned it and you take for granted that you use grammar all the time w/o thinking about what it is.
@Cerberus I find it too awkward to request anyone to turn off their video so I can hear them. The bandwidth is often too narrow in some place for all media to work.
@Cerberus They are draining for me as well, but mostly because of the social interaction which would be the same as in person. I guess I've gotten used to them, though.
I have really great internet speeds, so it's not usually to much of a problem unless someone else has bad internet. Or if Google is taking a shit again.
@Adam I have a good conexion as well (very stable 100/30), but video-calling programmes or sites still often say my conexion is meh. I think it may be this old laptop.
I'm also close to the world's largest Internet exchange (I think), so the pathing should also be fine.
@Adam The group doesn't have to be large for someone to be likely to have issues. It could just be their kids starting to stream a movie and draining all their bandwidth.
@JoonasIlmavirta Yeah. I think it has to do with lag, audio quality, and perhaps the fact that you cannot hear the other person very well when you're talking yourself.
@JoonasIlmavirta No, stacks of flowers and tulip bulbs are exchanged at the flower exchange.
@Cerberus It also plays a role, at least to me, that the presence is so partial both ways. We can't share a lunch. I can't point at a book. We can't draw in the same picture.
@JoonasIlmavirta Those things are what makes teaching more difficult, yes. Yesterday, we spent ten minutes trying to find the right maps in the Atlas. I was making her find the maps while I was blind. Eventually, she held up the index to the camera, but the conexion was so poor that I couldn't read it. And her arm was hurting from the big book.
I've found geography makes a big difference in lag time; conference calls with people in my area are usually good, provided the person isn't in some part of their house where their wifi reception is poor.
Calls with people located overseas are naturally not as good, even if we both have great bandwidth.
@JasperMay Nah, I don't have that many private pupils. I also teach part time at a school, which has now also turned into a kind of tutoring with the schools closed.
@JoonasIlmavirta Maybe you could draw in virtual reality?
I read about a chemistry teacher who uses a special blackboard programme in virtual reality: the fact that his pupils can see his hands moving, writing and pointing at things, has really improved their participation and appreciation, or so he says.
@Cerberus I'll have to see if I can figure out something viable without new machinery. I don't have to teach remotely, so my use would mostly be for research meetings.
I just tried going to my Zoom room with my phone and sharing its screen. It seemed to quite reasonable until the drawing app suddenly started showing video ads when clearing the drawing.
@Cerberus Zoom has the benefit of having become a standard to a great extent in academia.
You don't need to download anything or sign up to access a Zoom meeting. Only the host needs to be more into it.
I hadn't heard of Jitsi. Looks promising at a glance.
@Cerberus I've heard that a couple of times but never with elaboration. How is it bad, exactly?
(Not that I need to defend it. I'm just curious.)
@Cerberus I changed the drawing app to something without ads. Now it should be better.
At least I have a decent option for drawing on paper and holding it in front of the camera. Although I must admit that old-school approach is pretty stable and simple.
@Cerberus brianpck's website cites the OLD as the source for cuiorum, which would imply a classical usage. I don't know how to search the OLD itself and see a reference, though.
@Cerberus He linked to it in the past in comment or answer to something of mine, then I forgot it was his. I was reminded again when I emailed the webmaster to mention that an SSL certificate would help with search engine ranking and also avoid browsers throwing security warnings.