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TL;DR No, I would recommend against using a term such as “white mathematics”, and would recommend being careful in attributing racism in general. When someone else does, I want to look at the context. I haven’t found any examples yet of people using the phrase “white math” except to say that it does not exist. (I make some remarks about objectivity in mathematics at the end.)The link in the question is to an essay, There is No Such Thing as “White” Math by Sergiu Klaineman (NSTWM) which in turn refers to some mathematics education material, A Pathway to Equitable Math Instruction: Dismantling Racism in Mathematics Instruction (DRMI).Both NSTWM and DRMI are disconcerting to me. NSTWM is one of a number of responses to DRMI and at least superficially similar material. Most of the other responses to DRMI seem much less well-thought than it is. I’ll also note at this point that I downloaded and searched the DRMI materials, and found zero instances of the phrase “white math”. The closest it seems to come is a reference to “a Eurocentric type of mathematics” where it is implied by the context that it is referring to what cultural issue are being left out of the discussion.I think my main objection to both of them is that they seem to encourage “shooting from the hip” when one sees a cultural trend of which one is suspicious, a tide of “woke” culture in the case of NSTWM and apparent racism in the case of DRMI. Political polarization has a lot of people in the U.S. feeling like we’re caught in a fight, and it’s easy to give in to the urge to arm yourself quickly. What makes ideology ideological rather than just conceptual is when it causes a person to make an automatic response to ideas which seem opposed to itself. Both also make claims of ideology against the targets of their criticism.NSTWM starts with a sweeping generalization about the direction in which culture is headed. “In my position as a professor of mathematics at Princeton, I have witnessed the decline of universities and cultural institutions as they have embraced political ideology at the expense of rigorous scholarship.” This is actually possibly correct. For example, many people have argued that universities have declined in recent decades due to a belief that they should be more like businesses. They are now on average much more management-heavy than they were in the 1970s, and academic freedom has been curtailed in the name of making academics more accountable to this management (especially by phasing out tenure). Academics now spend a greater fraction of their time on paperwork and supporting their university bureaucracies at the expense of research and teaching. That this change was a good idea is more-or-less an ideological position, especially the idea that running a university like a business is best. Klaineman then indicates, however, that he is referring to the “great awokening”, an ideology fostered within academia and now undermining institutions, even now including businesses. I think this broad-brush generalization of his is in error.I understand that NSTWM is just a very brief essay, and could not really take the time to explore the broad trends in culture in detail. It gives links that are perhaps meant to help the reader put matters in context. One link is to a conservative magazine article about threats made to a business whose Christian owners refused to serve gay would-be customers getting married, comparing that harassment to a soft version of Soviet communism in Cechoslovakia. (I would agree that online harassment is a problem, whoever the target may be, but this isn’t a representative example, nor does it bear any meaningful resemblance to Soviet communism.) Another is a link to the conservative Manhattan Institute’s discussion of “woke” culture, originating in Black Lives Matter, which I can’t say seems very promising to me.NSTWM presents DRMI specifically as if it was a really great example of how far gone “woke” culture now is, however, so perhaps it would make sense to focus on that.After a short preface, DRMI provides its critics with the kind of ammunition they are looking for, in the form of some generalizations about “white supremacist” elements in mathematics education. They say, “we see white supremacy culture in the mathematics classroom can show up when:” followed by a list of various practices. This does make me cringe some.Probably the one line that has been most harshly criticized is “the focus is on getting the right answer”. It doesn’t take too much time to find a bit of context in the rest of the document, however. “Though math teachers often tout the phrase “mistakes are expected, respected, inspected, and corrected,” their practices don’t always align.” I had not heard that phrase, but it seems the authors of DRMI are concerned mainly with respects in which teachers of mathematics really don’t practice what they preach when they use slogans like that.Several of the mentions of “getting the right answer” later in the document are to cases where it’s pretty clear they are talking about problems that have multiple correct answers. I’m reminded of this cartoon:Cartesian Closed ComicIt’s worth a teacher’s while to be in a habit of welcoming correct but unintended answers like these. A teacher has to be somewhat rigid in their thinking if they can’t recognize that the intended answer is for the student to simplify the expression, not just to find something it is equal to, and slightly heartless to be hostile to the student who comes up with a correct but unintended answer, rather than to acknowledge it as correct but lead them on to consider the problem as it was meant to be solved.Many of the “only one correct answer” and “only one correct way to find the answer” mistakes DRMI refers to may seem dumb enough that teachers would know not to make them. But people taught math in the conventional way are often surprisingly rigid in how they apply it. I’m not sure who it was who told me he saw a bank teller tell a customer that the customer’s way of balancing their checkbook was invalid. The customer would total each page of their checkbook, then add it to a running total. Someone told me that when they were in school, they were firmly required to follow one specific (new) procedure for long division rather than the one I was taught to follow (in spite of their being entirely equivalent).A lot of harm can be done by shaming students for mistakes. When I was a freshman in college, I had a neighbor across the hall who was the son of a university trustee. He remembered with great embarrassment how once his somewhat intimidating father had been helping him with an algebra problem. The son had arrived at the equation [math]8=0[/math], and I gather the father was less than kind about addressing the mistake which had led to this. The son seemed intelligent, but seemed to have poor self confidence, easily intimidated, and switched schools.I’m not sure any of the critics of DRMI that I’ve read saw this paragraph: “Of course, most math problems have correct answers, but sometimes there can be more than one way to interpret a problem, especially word problems, leading to more than one possible right answer.” DRMI encourages teachers to think about “How do I try to show the student how to get to the correct answer?" That’s sensible. If the authors of DRMI were in the frame of mind attributed to them by their critics such as Klaineman, I would find it hard to imagine how they would phrase things in such a way.Another of the items on this list is “students are required to show their work”. This again can sound like a disastrous policy to target for elimination, and I wish the authors of DRMI had not phrased it that way. Look further down in the document, and one finds that it is referring more specifically to teaching a rote procedure which is considered incorrect if not followed the same way. Most of the rest of the discussion is in favor of the teacher encouraging the student to explain their thinking (which is what I would normally mean if I were to ask students to “show their work”).DRMI criticizes a tendency to teach mathematics like it was a collection of procedures. Many others have criticized this also. There is a well-known book, Lockhart’s lament, which is largely about what a disaster this is. It’s important that students come to understand that mathematics is more about reasoning than following procedures.DRMI criticized the identification of rigor with difficulty. This is a valid point, although I’m not sure how it tends to play itself out in the classroom. Rigor they say has more to do with thoroughness and being comprehensive than with being difficult- which it does.One of the items on the same list is “Independent practice is valued over teamwork or collaboration.” I have mixed feelings when mathematics educators come out in favor of having students collaborate more. I think some kind of balance needs to be struck. I think some of the mathematics educators fail to consider personality when they make plans like this. One teacher of my acquaintance seemed to be unaware of the degree to which she celebrated extroversion in her students. As an introvert, I sometimes found it frustrating to be forced into arrangements that seemed calculated to favor the higher social status kids and extroverts. I suspect that this would also apply to students who are subject to some kind of negative bias. I should say though that one of the suggestions made in DRMI is to offer for students either to work alone, in pairs, or in trios.DRMI complains that topics are treated as if they belonged to a linear order, rather than being understood in terms of their prerequisites. This is true. It really seemed like up until calculus at least, we had a “less advanced” to “more advanced” linear ordering. They mention matrix algebra as a topic that could be introduced much earlier than it typically is, which is also true. There are also many topics which are not on the usual school mathematics curriculum. Students get a weird idea of the way mathematics is organized from this. It would be worth being aware that the choice of topics and order are somewhat artificial.DRMI was accused of being opposed to the teaching of the Pythagorean theorem by one piece (not NSTWM). What they actually say is that as you teach it, you should point out that it was probably not discovered by Pythagoras, having been known already by various ancient cultures, and in general take the opportunity when possible that point out things discovered by other than Europeans.DRMI comes out against “tracking”. There was some amount of tracking in the public school system where I grew up, typically an “honors” version of a class. I’m not sure what the impact was.DRMI asks teachers to consider the pattern in how they call on students in class. In particular, if they tend to call on a handful of students again and again, they should consider changing. This is sound advice.One question that probably is on the minds of many people who look at DRMI is why any of these items should be considered a manifestation of white supremacy. DRMI mention a few ethnic-cultural items like using typically white names in examples and story problems, which one might consider small-scale racial bias, but actually proposes that merely avoiding this kind of thing is only a token effort. For the things like how you guide students away from mistakes, why is this pertinent to race, let alone “white supremacy culture”?Co-factors seem to cause much of the harm due to racism. What I mean by a co-factor is a practice that is not necessarily motivated by a racist attitude, but which when combined with practices that are motivated by racism cause their effects to be more severe. Many of the items on DRMI’s list of white nationalist cultural practices are co-factors. I wish I had a better term, and perhaps someone could suggest one, because I think having a good way to talk about co-factors is a significant issue.As an example of a co-factor, consider the practice of local funding of schools. Red-lining, only offering mortgages for blacks if they move into certain neighborhoods, is a plainly racist policy. It was continued after it was made illegal. It is responsible for perpetuating segregation, and preventing much of the black middle class from getting its share in the big ramp-up of property values in past decades, which has given the white middle class a lot of its current wealth. I can’t think of any non-racist motivation for such a policy. On the other hand, wanting for schools to be funded by property taxes within the same district is at least not as obviously racist. Some people favor it for racist reasons, saying that they want their property taxes to go to schools for their own white children, and not black children from poorer families. I would suppose there exist at least some people who favor it and not for racist reasons. I remember as a young person often having a naive, uninformed opinion about similar kinds of policies that was based on considerations like wanting for people to be more directly responsible for their own kids, and I hear conservatives echoing similar kinds of arguments.In combination, however, the two practices often result in bigger disparities in school funding, which compounds the effect of red-lining. Note in particular that it isn’t just general economic inequality that is in question; it’s specifically the effect of property values. My parents had direct experience with this. They had several percent deducted from the sale price of one of their homes because the chief of police and a minister (both black) lived on the same block with their families. (This was prior to the practice being made illegal.) However good a job you may have, if you live in a neighborhood deemed “less desirable” it makes the market value of your home less.Reading between the lines, much of DRMI’s advice is aimed at diminishing the assumed role of innate talent, so that the teacher does not have lowered expectations of students who’ve performed less well in the past. Teachers expectations are a major co-factor for just about every other negative influence on a student’s education. Once bad things have happened, the student is then thought of as a “bad student”. If there was not already racism of some other kind at work, this wouldn’t disproportionately affect some races, but once there is some racism, it makes the effects of the racism worse. What might have started out merely as a school having one mediocre math teacher turns into a whole batch of students being deemed not so good at math, maybe even assuming of themselves that they are bad at it, for life.I’m one of the students who was regarded as a good student, and even as being “naturally” talented at mathematics. In some ways this was a help to me. But I think ultimately it wasn’t the best thing for me either. Even a person who is talented should be focusing on what they can do with their abilities, rather than basking in a perception that they are talented. It’s not clear to me either how much of my perceived talent was innate and how much of it was the result of whiling away the hours tinkering with mathematics.It’s a common conservative line of argument to assume that co-factors are not motivated by racism(because it’s possible to motivate them another way), and moreover if liberals call co-factors racist, or harmful to blacks, then it is actually the liberals who are being racist, by assuming that blacks are different in a way that makes them inherently more vulnerable to the co-factor, when it isn’t a matter of race. For example, when some liberals argue that school funding needs to be equalized more by being funded at a higher level, to avoid negative impacts on minority communities, this is sometimes criticized as racist for treating African-Americans as being somehow inherently more in need of state or federal government help than whites.To write as Klaineman does, “There is no reason to assume, as the activists do, that minority kids are not capable of mathematics or of finding the “right answers.”” is to fit into this pattern again. I know of no activist who assumes that minority kids aren’t capable of finding the right answer. The authors of DRMI give us sufficient room for a different explanation of their concern on this point.One can see how successive waves of commentators have taken DRMI and interpreted it in cruder and cruder, less and less sympathetic ways, probably reading less and less of it but just relying on previous commentators’ takes, until finally you have people imagining that it was the authors of DRMI and not Klaineman who introduced the phrase “white math” into the discussion, that mathematics itself is racist, that the authors of DRMI want us to think that [math]2+2=5[/math] is just as good as [math]2+2=4[/math], and that we should avoid telling African-American kids that it isn’t lest we hurt their feelings. This does not seem to be a rare phenomenon in the media. Purported examples of really severe cases of political correctness run amok get big amplification.Even if DRMI were 100% as bad as these people are trying to get you to think that ti is, it would serve as pretty paltry evidence of an overall trend. Let’s take a moment to compare “woke” mathematics curriculum with a real disaster, the influence of creationism on science teaching in the U.S. Creationism is much more completely ideological. In many districts, even when the teaching of evolution is not formally against school policy, teachers have found that if they do try to teach it, they get vigorous grass-roots efforts to make them stop. Consider also the pernicious effect of the “lost cause” narrative about the South’s role in the Civil War, and the pernicious effects that it has had on history teaching. These both are staggering disasters which dwarf the petty gripes one gets about mathematics teaching not being traditional enough. These are things that are genuinely commonplace in U.S. public schools.There is one point which Klaineman makes which I think deserves to be praised. He grew up in Romania, which long suffered under the dictatorship of Nicolae Ceaușescu. He found mathematics- with its objectivity- to be a welcome respite from the lies perpetrated by the regime. Many times when reading or seeing biographies of talented people who suffered some form of oppression, one sees this same thing. Practicing an art on its own terms can be a purifying, even sanctifying, influence on the space in which it is practiced.Objectivity in MathematicsSome of the critics were very upset by DRMI’s remark that mathematics isn’t objective. Here again I find myself wishing they could have phrased matters more delicately. But I see little reason to think they are opposed to the idea that “[math]2+2=4[/math]” is objectively true and such like.I think it’s worth asking what parts of mathematics are completely objective.Some people would claim that once mathematicians have proven a fact, it is then objectively true. There are two problems with this. One is that a lot of our language is a bit sloppy and requires intelligent interpretation. The other is that it takes for granted that we’ve made sound choices of which axioms to accept.This leads us to one narrow subset of mathematics which is objective, the fact that a formally proven statement in mathematics can be formally proven from a given set of axioms. That mathematics has as many interesting facts of this kind as it does isn’t to be sneezed at. But it definitely is only part of what mathematics is.Mathematicians haven’t been stupid in general about which axioms they use, but neither has the process of choosing them been completely objective. To some extent it counts as a political decision. Back when the decision was made to accept the law of excluded middle for general use, it’s striking to me just how personally it was taken by Hilbert and his friends. Accepting the axiom of choice was also a kind of collective social decision. People like to think that it was made by objectively comparing the benefits of using it or not using it. The alternatives to the customary, mainstream way of doing things haven’t been explored well enough, though, for us to be able to say that. It merely seems like the way we’re doing things is good. Mathematicians look at constructive mathematics, developed with orders of magnitude less effort, and typically see it as simply not as good, but the few people who have come closest to making an objective comparison between the two (taking the disparity in development time into account) do not consistently side with the mainstream opinion.Mathematics is also not just a pile of theorems. We make a story about how they fit together, what direction we want to go with them. I would count the history of mathematics as being part of mathematics too (as well as being part of history). There’s nothing to keep a good historian from being objective, but there are a lot of pitfalls into which historians have fallen in the past, especially when race is a factor.

Motel is a “motorist hotel”, a roadside inn with services tailored for long-distance drivers, particularly a large parking with at least one spot allocated to each room, usually inexpensive and targeted for high visitor turnaround. Some motels charge on per-hour basis. Also, classic hotels often provide venues and facilities for conferences and festive events, while motels’ target audience are people who need just sleep and some food. I haven’t seen motels offering services comparable to more than a three-star hotel.↓ Motel 6 in Los Angeles, CA, USAHotel itself is anything that hosts guests that isn’t rental condo or house, student dormitory, trailer/camper park, camping spot or summer camp. Motels, hostels and guesthouses are subsets of hotels.Any hotel regardless of its kind can be defined as “rooms with facilities and services for people who have to spend some of time out of their home and are paying for that, or their stay is paid for”. I see your question as a nice reason to elaborate, so here’s some trivia reading… Pictures are random, picked from Google Image Search results.Hostels are inexpensive hotels that cater to people who want just a place to crash for the night (or day), socialize and don’t mind unfamiliar neighbors, although most hostels often have one or several rooms that offer a degree of privacy of a regular hotel (single and double). One of the best hostels I ever visited, Hostel DIC in Ljubljana, Slovenia, functions as such only during student summer holidays, otherwise being a student dorm. HostelHK in Hong Kong offers a lot of single and double rooms rather than 3+-bed rooms. Monk’s Bunk in Tallinn, Chueca in Madrid and Kadıköy Moda in Istanbul are classic hostels that offer mostly 4–16-person rooms with bunk beds and community lounge that functions as a kitchen and/or bar. All these places have good reputation and I can recommend them. Traditionally hostels are centrally located (although it is not a rule of thumb) and cater to younger audiences aged 16–35, mostly students, although these days hostel clientele includes also families, elders and organized groups of schoolkids as well. Hostels are especially popular in Europe and non-Muslim Asian countries (Turkey has a lot, though, but as a state it’s still secular), a bit less in the USA, and often provide minimal service, or charge some small money for everything. Also, in the majority of popular and reputable hostels, regardless of their location, the “working” language is English, although in many places, especially in Europe, staff can be cognizant of four, sometimes even five or six languages: native/local (one of Nordic or Slavic, Turkish, Dutch, Romanian, Portuguese…), English, French, German, Spanish. I met a receptionist who spoke her native Czech, Slovak, English and German fluently, French and Spanish passably, and had some Polish, Slovenian, Russian and Ukrainian. So I talked to her (at her request) in Russian.↓ Typical youth hostel, this seems to be 10-person mixed-gender dorm… actually, 11-person, judging by hammock at the balcony. It seems that I know the place… where could that be?..Guesthouse is usually a private property with live-in owners who rent some of their rooms to travelers and visitors (sometimes only during peak seasons) and rarely attract hired staff, doing everything on their own. Those are popular in Alpine regions of Europe: Slovenia, Austria, Italy, Switzerland, France and Germany. Guesthouses can rarely accept more than 10 to 15 persons, often even less, but they offer a degree of comfort and local insight that rivals luxury hotels and resorts. At that, guesthouses can be similar to either hostels or luxury hotels, but by definition it’s a place for small number of guests.In really remote places, for example in Berdigestyákh (Бердигестях), Yakutia, Russia, population 6′800, the only hotel (in that particular case, Sandaara Inn) can resemble some shabby guesthouse at a price of 3-star single in neat chains like Ibis, but they are your only option unless you have local acquaintances… You’d better stay inside a solid house of timber with rampant heating to sleep, because during winter that lasts about 8–9 months there daytime temperatures are –25°C at most and nighttime frost may reach –60°C. By the way, July in Yakutia can be as hot as in Dubai, +45°C isn’t a big deal, so well-insulated wooden house with mosquito nets on windows is heaven, because tropical insects (except, of course, those that carry infections like malaria, yellow fever and Zica) are child’s play compared to Russian Northern, Siberian or Yakutian “gnoos” and “moshká”.↓ A room in a guesthouse somewhere in rural USA. My friends in Slovenia own similar place between lakes Bled and Bohinj.• Ryokan is a traditional Japanese inn in traditional Japanese building of timber and rice paper; services, staff attire and attitude also didn’t change much since the 18th century (while Japan is the homeland of modern high technology, your ryokansha may use the latest iPhone and toilet seat may contain a supercomputer, don’t necessarily expect even a TV or radio at hand, some don’t even have electric outlets in sleeping rooms). Ryokans are often situated near natural hot springs and serve traditional region-specific and season-specific Japanese meals on low tables where you expect to seat in traditional Japanese way, spine permitting. Also, one of distinctive ryokan features is the lack of elevated beds: guests sleep in traditional manner, on futons (thin mattresses) rolled over tatami mats and stowed away for a day. Initially “ryokan” meant just any inn in Japan, but during westernization of Meiji era (1868–1912) with “classic” European and American-style hotels opening in the country, this term narrowed to only traditional Japanese inns, while what we usually call hotel is “hoteru” or, less often, “kyakushoubai”. It doesn’t mean, though, that if you build a Japanese-designed house, hire Japanese staff and will do everything like they do in, say, Shizuoka, you can call your establishment a ryokan… for marketing purposes you surely can, but a real ryokan is possible only in Japan and nowhere else.↓ Ryokan. As stereotypical and traditional as I could find.• Sanatorium’s primary goal is providing medical services, so basically it’s something between hospital, resort and hotel. Sanatoriums are often malady-specific: some target respiratory diseases, some treat cardiovascular, digestive, endocrine, neural, locomotor or whatever other dysfunctions that require facilities and even climate that any random place cannot provide. For example, James Bond in the beginning of “Goldfinger” spends his time at a sanatorium. Also, while you can buy a stay at a sanatorium on your own, using it as just an hotel or a resort, in many cases (at least in Russia and ex-Soviet countries) a period of stay at a sanatorium, usually one to twelve weeks, is prescribed by a medical practitioner who expects you to attend all procedures and recommendations of sanatorium staff. In the USSR (and countries that were parts of it) sanatoriums often belong(ed) to enterprises, and during Soviet era they accepted primarily employees of those enterprises, being free or almost free for such visitors. There is another kind of institution of such kind in ex-USSR called “pansionát”; it’s more or less the same but medical procedures are voluntary rather than mandatory. There are different room categories usually, from spartan 4-bed rooms to luxury 3-room suites for two, but that’s not a common rule, all rooms may be similar as well.↓ Seaside sanatorium in Russian Black Sea Coast not far from Tuapse named “Automotive transportation worker of Russia” offers, according to its website, quite a range of services from medical to conference and entertainment. Judging by the name and capacity of almost 500 rooms, initially it was a subsidiary of Transportation Ministry of the USSR. Significant stretches of Russian and Ukrainian parts of the Black Sea coast are packed with that.• “Love hotels” are self-explanatory, the term itself is Japanese (“rabu hoteru”) — these places offer rooms with a degree of privacy and facilities required for horny couples (trios… quartets… depends ;)), they often charge on per-hour basis and don’t ask many questions as to who you and your companion(s) are. Decorations may be quite wild for a common mind, especially in Japan, but in the majority of hotels of this kind, especially in Hong Kong and Russia (we call them “an hotel for an hour”, that’s an obvious euphemism) suit contains just a king-size or even larger bed, a TV, condoms and lube somewhere at hand (instead of Bible you can find in many US hotels and motels, or Quran in Muslim countries and regions) and not much more.↓ Love hotel in Hong Kong… a classier one, judging by space and interior design, located probably somewhere at Kowloon or Stanley as I can guess by what’s seen from the window. You can find a lot of much shadier and less posh places in central areas of the city like Mong Kok, Tsim Sha Tsui, Jordan, Central, Wan Chai or Causeway Bay… also in hotels of such kind, and especially in Hong Kong, Bangkok or Amsterdam, you can find a partner right on the spot or in close proximity with the help of staff, so many of them are essentially not exactly hotels but brothels in thin disguise… thus, be careful with your choices.In Russia many, if not the majority, of small private hotels are used for that purpose as well, and while you can book a room online or by phone to use the place as a regular hotel, and they are quite inexpensive, double check comments — you may find yourself amidst a whoredom with really obvious sounds heard through the walls. More prudish travelers may not like such surroundings (I’m not the one, luckily)…• Capsule hotel. Another Japanese invention that was born because of the lack of space. Regular Japanese flats usually resemble something like walk-in wardrobes, 15 m² fully functional flats are nothing special, but capsule hotels went even further. It’s actually a capsule, don’t go there if you’re prone to claustrophobic attacks. A bed with a locking door (or no door), built-in TV, some mains sockets and lights — that’s it. Enough for a “salary man” to grab a healthy-length nap instead of spending three hours one way in commute. There are, or course, more spacious versions, but 2×1×1 meters is classics. People lockers, human storage, stack of sleepers, hibernation chambers of trans-galaxy spaceship — you name it. That’s only if you need some sleep (alone!) and nothing more. Moscow Sheremetyevo (SVO) airport has its own capsule hotel, but it’s more spacious… and catastrophically overpriced.↓ Classic Japanese capsule hotel.↓ Capsule hotel, luxury edition:• Congress hotel is an hotel that offers services and venues to hold conferences and business events, like a lot of conference halls and meeting rooms, as well as catering services and spacious dining/multi-functional halls. At present, all large or relatively large hotels, either belonging to chains or independent, are expected to provide congress services. Contrary to hostels and guesthouses, their visitors often spend all their time at hotel premises: arrival, event, dinner, night, event, lunch, departure. Congress hotels usually have more single and double rooms than suites and rooms like above.• Pension (not “pen-shon” as in retirement or disability payouts, but “pen-see-ohn”) is a type of hotel specific to German-speaking countries, Hungary, Bulgaria, Czechia and Slovakia. I stayed at one in the Third District of Vienna, Austria. Pensions usually consist of small-ish, small or tiny (almost closet-sized) rooms with a sink and tap inside, and other facilities (toilet, showers, kitchen) are common for several or all rooms, that are meant for one, two, rarely three persons. Price-wise and service-wise pensions are closer to hostels than to hotels, a night in a single room in Vienna in August did cost me €30, which, considering Austrian prices in general and high season, wasn’t all that much even for my puny budget. At that, pension is sort of next step above hostel, it’s for people who like it quiet.• Aterpetxea (ah-ter-pet-che-ah) as it’s called in Basque Country in Spain in Euskadi (Basque language), albergue in Spanish or auberge in French is (these days) a type of inn close to hostel, but you can often hear these definitions in conjunction with St. Jack’s Way (Camino de Santiago). These establishments aren’t much different from youth hostels, but there are certain rules: large backpacks and dirty/dusty boots are not allowed in dorms and rooms and should be left in designated areas. Also, guests are expected to keep noise low. Stays for more than one night are rare for these places in Southwestern Europe, because pilgrims (camineros) are on the move and need just a place to sleep and wash the dust off themselves, clothes and footwear before venturing for another 25–50-kilometer stretch of the Way early next morning. Outside (and on) Camino de Santiago, auberge in France and Romandie (Francophonic part of Switzerland) usually means an inn with a restaurant, with the latter being more important part of the establishment than the former, and usually in rural or small town locations rather than urban.• Bungalow hotel. A type of hotel specific for “tropical paradises” like Maldives, Seychelles, Caribbean, Polynesia etc. Suites are often separate buildings built mostly of materials native for the region, while being many-star inside. Often bungalow hotels are built on posts right over water, and on land they are surrounded by jungle. Despite traditional construction, bungalows inside are often luxurious enough to rival even The Ritz.↓ Kia Ora hotel in French Polynesia, one of the most well-known places of such kind in the world… at least one of the most popular for illustrations on the subject.• Park hotel usually means (at least in Russia) an hotel located in the forest. Park hotels may also function as congress hotels, spa resorts and even children’s summer camps. At that, the name doesn’t necessarily mean a lot of greenery around, there are a lot of places that are named “park hotel this or that” located very centrally and without a single tree in proximity.↓ Forest Park Hotel in Greece.I guess that’s it, additions and corrections are welcome.

Well a woman also faces the same fate as a men do. I and my other friend tried to be good and friend with a girl who was mostly introvert. We helped her on many occassions whether be it by providing her with notes or any other help needed. Our trio became one of the best group of friends upto half Semester exams. After last exam we tried to wish her Happy New Year but what she did was blocking us( Me and my friend) on WhatsApp. When our other half semester started me and my friend didn't talk with her since she showed us her egoistic side. After few days Results of 1st semester exams were been declared. She failed in 2 subjects while my friend just failed in one and I passed all the subjects. Since if u have some doubts regarding rechecking of papers there was a rechecking procedure that had to be followed. Since I and my friend knew these procedures we followed the procedures and after few days his result was pass in all subjects while the introvert girl couldn't do anything. She even tried making new friends from my class batch students but failed miserably. Nobody was knowing that she did exist in the class even the guy who was absent in the class for the whole first semester was known to all. After our second mid semester exam we were given a week of vacations but later Coronavirus hit the nation so our teachers started taking online lectures to covermy friend . She was in stress to pass the subjects in which she failed. During the online classes she used to ask my friend for notes. Since I and my friend made a deal to make her unblock him and keep me blocked. I allowed him to talk with her and asked him not to share the notes he made with her. Later after the online lectures were over she was in stress condition to clear the subjects in which she failed. In engineering there is a option in which u give the respective subjects in which u have failed to be given in your next year exams if u fail again fail in rechecking or missed rechecking. Few days ago University made a statement that all the students will be passed based on their previous works and behaviours except last year students whose exams shall be conducted. For those who didn't pass or had back logs in their respective subjects in which they failed to pass their exams shall be conducted. She was on great distress, she felt we were her last resort to pass in her two subjects. She quickly asked my friend to provide her the notes for the subjects to pass. My friend kindly said he didn't have them anymore because he deleted those files since he didn't require them anymore. He said to ask him(me). He(me) might have. Since she played the game of blocking and unblocking I too did the same. She tried to make calls, messages,etc but all was in vain. She tried messaging and calling through MS teams on which our online lessons were conducted. Also I did have the notes of the last sem since I was to lazy to delete them. My friend told her if u didn't show us your ego you wouldn't have these difficulties. Also I was in no way of forgiving her. Since she deliberately made jokes regarding my place of origin and also on my parents. In whole class now nobody has the notes now since everybody were able to pass in the semester.CONCLUSION : While doing engineering or be it any other field don't show ur ego to ur friends because these guys can teach u easily what the professor wasn't able to teach properly. They can provide u with notes. Even night before the exam everybody will work as one.This content is truly based on real life incident. It wasn't meant to hurt anybody's ego.Peace out😊😇😊