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from your house to the telephone switching center), and the people you could reach by calling that number. Nowadays numbers are not associated with physical wires and houses. Unfortunately because of the title for this article it would not make sense to use the other meaning of "telephone number" for this concept, even though that might translate better to modern cell systems. —
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1697:, which lists an indiscriminate collection of far too many things, has been a magnet for problem editors pushing even more stuff into it, and doesn't currently link this article (nor should it be expanded). I don't think it provides any useful information to readers. It is just an excuse to link stuff for the purpose of linking stuff. —
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Heh. None of the four friends I asked got it right, but maybe we're just unusually ignorant. I mean, one could simply phrase it as "how many ways can n people call each other?" but it loses the exclusivity implication and so would need more clarification. Another option is to give a short definition,
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is super low-level by modern computer science standards (everything is written in a made-up assembly language) but there's a lot of great material in there. I'd recommend it to anyone interested in computer science or computational mathematics. Also maybe second to
Stanley as an essential reference
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Reading this article got me thinking and I just have one question: According to the article the nth telephone number is the number of self-inverse permutations on n elements. If I'm not mistaken, a self-inverse permutation on n elements is essentially an n by n matrix such that every line and every
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Also what? The Hosoya index of a complete graph counts the number of patterns of pairwise connections between n vertices in a graph where any pair can be connected. The nth telephone number counts the number of patterns of pairwise connections between n subscribers to a telephone system where any
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Maybe we need to think about writing this in terminology that will be comprehensible to younger generations. A "phone line" used to mean the number you would dial (not press, dial), the wire into your house carrying the service for that number (a single twisted pair of wires extending all the way
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tells us, "a single-user circuit on a telephone communication system". It's like an account on a social media system, the social media system of the early 20th century. It's a stand-in for the person using the line (or really for the family using the line, because this comes from the days when a
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The condition that each row and column has exactly one nonzero defines an arbitrary permutation, not necessarily a self-inverse one. The self-inverse permutations correspond to the symmetric matrices. Your fourth and sixth matrices are not symmetric and do not correspond to involutions. (Or, yet
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pair can be connected. Except for changing the words "vertices" to "subscribers" and "graph" to "telephone system" they are exactly the same thing. The part before the semicolon explains why they are the same thing (because any pair can be connected). —
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This one, on the other hand, is I think just a random combinatorics text, replaceable by any number of equivalent combinatorics texts. I don't have any complaints about it but I don't see it as standing out from a crowded field.
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Oh, I see. I was reading it wrong, and thought "for which any pattern of pairwise connections is possible" was solely to describe complete graphs, rather than also as a logical tool for the connection to telephone numbers.
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2b: These sources are fine, but I'm not sure that this is the only information available. Can you please tell me if this is all the information available. I'll put this and 3a as a pass if it is fine.
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Except for a couple of brief questions that don't really address the GA criteria, there has been no review since you agreed to take this on 2 1/2 months ago. When can I expect a review? —
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There are many of these numbers, but only one sequence. But I changed the verb from "are" to "form" because the numbers and the sequence aren't really the same thing as each other. —
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6b: This is not a big problem, but I would suggest to move the pictures up a bit, so that it won't go into the next section. This is optional though, so you don't have to do it.
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column contains exactly one 1 entry and only 0's otherwise. Accordingly, there should be according to this sequence only 4 such 3 by 3 matrices. However, I was able to find 6:
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Could we use "telephone pole" instead of "telephone line"? It's very easy to think of "telephone lines" as the wires/edges connecting the poles/vertices.
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Are you sure? According to that article, the only invertible idempotent matrix is the identity matrix. Yet, all permutation matrices are invertible.--
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Thanks. I thought I'd read somewhere that all permutation matrices were self-inverse, but I guess that doesn't really make a whole lot of sense.--
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Sorry, but I'm not very knoweledgeable in this topic, so I might need to ask you some things about this topic that I'm not quite sure about.
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Sorry, wrong word. I meant that all of them can be taken to some power to reach the identity matrix. That power is not usually two though. —
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I don't remember when I first read parts of it. I don't think I ever had (nor have given) a course that assigned it as official reading. —
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I don't think I'll be able to complete this review. Is there a way where I can reset the template so that another reviewer can do it?
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Yes. I'm currently very busy in real life and I'll try to finish the GA review as early as possible. I'm not sure how long though.
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it's not clear what changes you want to be made. Please mention the specific changes in a "change X to Y" format and provide a
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Should it be "probabilist", "probabilistic" or "probabilist's"? I changed it to the latter but that's just my intuition.
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Alright, happy with the article; good stuff. I suppose the few comments are commensurate with the article's length.
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The only "telephone number" that is also an actual US telephone number is 4809701440, and it apparently belongs to
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5: According to this article's history, there have been no edit wars since 2018. I'll put this as a pass.
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Indeed. I have the first volume, which shall be given company once I finish. Did you read it in school?
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is a physical pole that holds up wires used to transmit telephone signals. It's a piece of hardware. —
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If no one else steps up for a few weeks, I can do it. That said, I'd like to see more reviewers at
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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Knowledge. If you would like to participate, please visit the project page, where you can join
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Alright. Less busy this week, and it's a short enough article, so should be done by tomorrow.
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What? That means something completely different and unrelated. A telephone line is, as
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phone and its number were something a whole family had rather than one per person). A
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for more details. If you cannot edit this page and you wish to make a change, you can
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another way of saying the same thing, they do not square to the identity matrix.) —
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Hello, I'll try to get back to the review today or tomorrow. Sorry for the delay.
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Is there a navbox that this could be link to? (I'm not sure, so I'm asking)
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Ok, that's fine, I was just asking because I wasn't sure about it.
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Few comments overall. I'll update you after tomorrow's ferment.
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Template:Did you know nominations/Telephone number (mathematics)
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Okay, what you did is understandable and precise enough; nice.
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with the pleasant side effect of our youth's edification.
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in such a way that no two rooks attack each other is a
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864:Could you tell me what my mistake was?--
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184:A record of the entry may be seen at
156:... that the number of ways to place
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318:Knowledge:WikiProject Mathematics
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404:Knowledge:WikiProject Numbers
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964:Ten digit telephone number
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970:Studio Bravo Gary Babb
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57:: December 6, 2022. (
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974:68.44.132.25
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340:Low-priority
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243:WikiProjects
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154:Did you know
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143:Did you know
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132:A fact from
87:unregistered
80:
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43:please do so
31:
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1853:word choice
1762:WP:GAN#MATH
1226:word choice
1133:transcluded
928:Carabinieri
896:Carabinieri
866:Carabinieri
315:Mathematics
306:mathematics
262:Mathematics
148:check views
2510:Categories
2467:a sequence
2352:Spotchecks
1942:plagiarism
1886:verifiable
1326:plagiarism
1259:verifiable
1086:Authorship
1072:GA toolbox
1007:|answered=
910:idempotent
173:chessboard
37:under the
2110:Pass/Fail
1518:Pass/Fail
1145:Reviewer:
1109:Templates
1100:Reviewing
1065:GA Review
1043:Not done:
231:is rated
200:Knowledge
138:Main Page
2412:: Ditto
2128:Comments
1678:Others:
1612:Comments
1158:contribs
1114:Criteria
443:Question
233:GA-class
96:See the
91:disabled
47:reassess
2463:numbers
2459:numbers
2104:Overall
1985:focused
1938:copyvio
1857:fiction
1512:Overall
1376:focused
1322:copyvio
1230:fiction
401:Numbers
392:Numbers
367:Numbers
342:on the
140:in the
2478:CiaPan
2444:: Fine
2441:: Fine
2438:: Fine
2435:: Fine
2432:: Fine
2380:Ovinus
2338:Ovinus
2323:Ovinus
2288:Ovinus
2270:Ovinus
2240:Ovinus
2216:Ovinus
2202:Ovinus
2172:Ovinus
2135:Ovinus
2057:images
2032:stable
2030:It is
2008:policy
1960:It is
1879:It is
1859:, and
1849:layout
1820:It is
1805:review
1788:Ovinus
1782:Ovinus
1766:Ovinus
1458:images
1428:stable
1426:It is
1399:policy
1344:It is
1252:It is
1232:, and
1222:layout
1186:It is
1171:review
239:scale.
164:on an
110:log in
54:Review
2083:with
1861:lists
1807:(see
1491:with
1234:lists
1173:(see
1135:from
1011:|ans=
1001:This
220:This
162:rooks
112:, or
2497:talk
2482:talk
2465:are
2422:talk
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1813:here
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1324:and
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1216:for
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987:+628
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100:and
1841:MoS
1214:MoS
1009:or
420:???
334:Low
85:or
83:new
49:it.
2512::
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2112::
2106::
2089::
2077:b
2071::
2063:a
2040::
2034:.
2016::
2010:.
1989::
1981:b
1975::
1967:a
1964:.
1946::
1934:d
1928::
1924:OR
1920:c
1914::
1906:b
1900::
1892:a
1889:.
1865::
1855:,
1851:,
1847:,
1837:b
1831::
1827:a
1824:.
1803:GA
1794:)
1772:)
1753:Pr
1742:)
1715:Pr
1705:)
1686:Pr
1671:Pr
1600:Pr
1583:Pr
1572:Pr
1562:)
1539:Pr
1520::
1514::
1497::
1485:b
1477::
1469:a
1441::
1430::
1412::
1401::
1380::
1372:b
1364::
1356:a
1348::
1330::
1318:d
1310::
1306:OR
1302:c
1294::
1286:b
1278::
1270:a
1262::
1238::
1228:,
1224:,
1220:,
1210:b
1202::
1198:a
1190::
1169:GA
1160:)
1057:)
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1015:no
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888:)
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168:×
108:,
63:).
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461:[
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245::
192:.
181:?
170:n
166:n
158:n
116:.
93:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
