{"id":46864,"date":"2020-03-13T18:38:27","date_gmt":"2020-03-13T17:38:27","guid":{"rendered":"https:\/\/blogs.bmj.com\/bmj\/?p=46864"},"modified":"2020-03-25T11:41:24","modified_gmt":"2020-03-25T10:41:24","slug":"jeffrey-aronson-when-i-use-a-word-hooping-cough","status":"publish","type":"post","link":"https:\/\/blogs.bmj.com\/bmj\/2020\/03\/13\/jeffrey-aronson-when-i-use-a-word-hooping-cough\/","title":{"rendered":"Jeffrey Aronson: When I Use a Word . . . Hooping cough"},"content":{"rendered":"<p><span style=\"font-weight: 400\">Hw\u00e6t!<\/span><\/p>\n<p><span style=\"font-weight: 400\">Several Old English poems begin thus, followed immediately or soon after by some variant of \u201cwe have heard \u2026.\u201d. The best known example is that of <\/span><i><span style=\"font-weight: 400\">Beowulf<\/span><\/i><span style=\"font-weight: 400\">, which dates from between 1200 and 1300 years ago. Here are the first three lines, with my own translation in parallel text:<\/span><\/p>\n<p><span style=\"font-weight: 400\">Hw\u00e6t w\u0113 G\u0101r-Dena\u00a0 in gear-d\u0101gum<\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0<span style=\"font-weight: 400\">We have heard, no doubt, of the bygone glory\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400\">\u00fe\u0113od-cyninga\u00a0 \u00ferym gefr\u016bnon<\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<span style=\"font-weight: 400\">of the kings who courageously ruled the Danes.<\/span><\/p>\n<p><span style=\"font-weight: 400\">hu \u00f0\u0101 ae\u00feelingas\u00a0 ellen fremedon<\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <span style=\"font-weight: 400\">And those peerless princes\u2019 heroic exploits.<\/span><\/p>\n<p><span style=\"font-weight: 400\">Note the absence of an exclamation mark after the first word. As the manuscript of <\/span><i><span style=\"font-weight: 400\">Beowulf<\/span><\/i><span style=\"font-weight: 400\"> held in the British Library (MS Cotton Vitellius A.xv) shows, the original contained no exclamation mark. Indeed it contained no punctuation marks at all. Jakob Grimm, in his <\/span><i><span style=\"font-weight: 400\">Deutsche Grammatik<\/span><\/i><span style=\"font-weight: 400\"> (1837) introduced an exclamation mark after \u201cHw\u00e6t\u201d, contending that it was purely an exclamation. But it has been suggested that it is no exclamation at all.<\/span><\/p>\n<p><span style=\"font-weight: 400\">I first read <\/span><i><span style=\"font-weight: 400\">Beowulf<\/span><\/i><span style=\"font-weight: 400\"> in 1959, in a prose translation by David Wright, first published in 1957 in Penguin Classics, and have since accumulated more editions. Most of them translate \u201cHw\u00e6t\u201d as some form of exclamation (Figure 1). But in 2013 George Walkden <\/span><a href=\"https:\/\/www.cambridge.org\/core\/journals\/english-language-and-linguistics\/article\/status-of-hwaet-in-old-english1\/8F5AFA444E8388B124C3CC4AC786B693\"><span style=\"font-weight: 400\">argued<\/span><\/a><span style=\"font-weight: 400\">, from an examination of instances of \u201chw\u00e6t\u201d in Old English texts, that the word was not an interjection, but \u201can underspecified <\/span><i><span style=\"font-weight: 400\">wh<\/span><\/i><span style=\"font-weight: 400\">-pronoun introducing an exclamative clause\u201d and \u201cparallel to <\/span><i><span style=\"font-weight: 400\">how<\/span><\/i><span style=\"font-weight: 400\">\u201d, as in \u201cHow you\u2019ve changed\u201d.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-46869\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/aronson_whooping_1.png\" alt=\"\" width=\"595\" height=\"1051\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/aronson_whooping_1.png 595w, https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/aronson_whooping_1-170x300.png 170w, https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/aronson_whooping_1-580x1024.png 580w\" sizes=\"auto, (max-width: 595px) 100vw, 595px\" \/><\/p>\n<p><span style=\"font-weight: 400\">K<sup>W<\/sup>O was the IndoEuropean root of a range of relative and interrogative pronouns, like the Latin quis, quis, quid, and adjectives, like qui, quae, quod. In Old Germanic words it became <\/span><i><span style=\"font-weight: 400\">hw<\/span><\/i><span style=\"font-weight: 400\">, whence it entered Old English. This spelling persisted until the late 13<\/span><span style=\"font-weight: 400\">th<\/span><span style=\"font-weight: 400\"> century, but by the 12<\/span><span style=\"font-weight: 400\">th<\/span><span style=\"font-weight: 400\"> century it was already beginning to be replaced by <\/span><i><span style=\"font-weight: 400\">wh<\/span><\/i><span style=\"font-weight: 400\">, perhaps affected by words that came from different IndoEuropean roots, such as whelk (from WEL, to turn or roll), whip (from WEIP to vacillate or tremble ecstatically), and whit (from WEKTI, a thing). Some 13<\/span><span style=\"font-weight: 400\">th<\/span><span style=\"font-weight: 400\"> century spellings used <\/span><i><span style=\"font-weight: 400\">qu<\/span><\/i><span style=\"font-weight: 400\">, or in Scotland <\/span><i><span style=\"font-weight: 400\">quh<\/span><\/i><span style=\"font-weight: 400\">, as in the family name Colquhoun. Furthermore, dialectic variations in pronunciation led in some cases to omission of the aspirate (Figure 2).<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-46870\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/aronson_whooping_2.jpg\" alt=\"\" width=\"675\" height=\"654\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/aronson_whooping_2.jpg 675w, https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/aronson_whooping_2-300x291.jpg 300w, https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/aronson_whooping_2-640x620.jpg 640w\" sizes=\"auto, (max-width: 675px) 100vw, 675px\" \/><\/p>\n<p><span style=\"font-weight: 400\">The spelling of \u201chw\u00e6t\u201d tells you how it was pronounced. First an aspirated <\/span><span style=\"font-weight: 400\">|<\/span><span style=\"font-weight: 400\">h<\/span><span style=\"font-weight: 400\">|<\/span><span style=\"font-weight: 400\">, then the voiced bilabial <\/span><span style=\"font-weight: 400\">|<\/span><span style=\"font-weight: 400\">w<\/span><span style=\"font-weight: 400\">|<\/span><span style=\"font-weight: 400\">. The digraph <\/span><span style=\"font-weight: 400\">|<\/span><span style=\"font-weight: 400\">\u00e6<\/span><span style=\"font-weight: 400\">|<\/span><span style=\"font-weight: 400\">, called aesc, is pronounced like the flat <\/span><i><span style=\"font-weight: 400\">a<\/span><\/i><span style=\"font-weight: 400\"> in ash.<\/span><\/p>\n<p><i><span style=\"font-weight: 400\">The Chambers Dictionary<\/span><\/i><span style=\"font-weight: 400\"> (12<\/span><span style=\"font-weight: 400\">th<\/span><span style=\"font-weight: 400\"> edition, 2011) includes about 150 headwords beginning with <\/span><i><span style=\"font-weight: 400\">wh-<\/span><\/i><span style=\"font-weight: 400\">; almost all are pronounced <\/span><i><span style=\"font-weight: 400\">(h)w<\/span><\/i><span style=\"font-weight: 400\">; for example: what (descended from \u201chw\u00e6t\u201d), when, whither, whop, whup, and why. There are two groups of exceptions:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">the Maori loanwords whanau (an extended family), pronounced <\/span><i><span style=\"font-weight: 400\">f\u00e4&#8217;now<\/span><\/i><span style=\"font-weight: 400\">, whare (a house), pronounced <\/span><i><span style=\"font-weight: 400\">f\u00e4r&#8217;\u0101<\/span><\/i><span style=\"font-weight: 400\">, and whenau (land), pronounced <\/span><i><span style=\"font-weight: 400\">fen&#8217;oo-\u0259<\/span><\/i><span style=\"font-weight: 400\">.<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">most words beginning with a long <\/span><i><span style=\"font-weight: 400\">o<\/span><\/i><span style=\"font-weight: 400\">, including who, whodunnit, whom, and whose, whole and whore, all of which are pronounced with an initial <\/span><i><span style=\"font-weight: 400\">h-<\/span><\/i><span style=\"font-weight: 400\">.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400\">Which brings me to whooping cough and a question that recently appeared on Twitter:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-46871\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/aronson_whooping_3.jpg\" alt=\"\" width=\"684\" height=\"227\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/aronson_whooping_3.jpg 684w, https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/aronson_whooping_3-300x100.jpg 300w, https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/aronson_whooping_3-640x212.jpg 640w\" sizes=\"auto, (max-width: 684px) 100vw, 684px\" \/><\/p>\n<p><span style=\"font-weight: 400\">The sound that you hear in this condition was originally called a hoop, which is what it sounds like\u2014a long intake of breath after a series of short violent coughs. The first instance listed in the <\/span><i><span style=\"font-weight: 400\">Oxford English Dictionary<\/span><\/i><span style=\"font-weight: 400\"> dates from 1811, in Robert Hooper\u2019s edition of <\/span><i><span style=\"font-weight: 400\">Quincy\u2019s Lexicon-medicum<\/span><\/i><span style=\"font-weight: 400\">, under <\/span><i><span style=\"font-weight: 400\">Pertussis<\/span><\/i><span style=\"font-weight: 400\">: \u201cThe cough \u2026 is attended with a peculiar sound, which has been called a hoop.\u201d \u201cHoop\u201d in this sense antedates the use of \u201cwhoop\u201d by about 200 years.<\/span><\/p>\n<p><span style=\"font-weight: 400\">The <\/span><i><span style=\"font-weight: 400\">OED<\/span><\/i><span style=\"font-weight: 400\"> first attests the two different spellings of the name of the disease in quotes from 1739 (\u201cwhooping cough\u201d) and 1758 (\u201ca hooping, or any nervous cough\u201d). But I have found an <\/span><a href=\"https:\/\/www.jstor.org\/stable\/102788?seq=1#metadata_info_tab_contents\"><span style=\"font-weight: 400\">antedating<\/span><\/a><span style=\"font-weight: 400\">, from 1701 (Figure 3), which gives \u201chooping cough\u201d precedence.\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-46873\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/aronson_whooping_4.jpg\" alt=\"\" width=\"573\" height=\"655\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/aronson_whooping_4.jpg 573w, https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/aronson_whooping_4-262x300.jpg 262w\" sizes=\"auto, (max-width: 573px) 100vw, 573px\" \/><\/p>\n<p><span style=\"font-weight: 400\">So \u201cwhooping cough\u201d is pronounced, like who, whose, and whom, with an initial <\/span><i><span style=\"font-weight: 400\">h<\/span><\/i><span style=\"font-weight: 400\">, just as it is given in the <\/span><i><span style=\"font-weight: 400\">OED<\/span><\/i><span style=\"font-weight: 400\">: \/\u02c8hu\u02d0p\u026a\u014bk\u0252f\/<\/span><\/p>\n<p><span style=\"font-weight: 400\">But, given the history of \u201chw\u00e6t\u201d, perhaps it is not surprising that the Twitter comment about this ended with the exclamation \u201cWhat the what!??\u201d.<\/span><\/p>\n<p style=\"text-align: left\"><span style=\"font-weight: 400\"><em><strong>Jeffrey Aronson<\/strong>\u00a0is a clinical pharmacologist, working in the Centre for Evidence Based Medicine in Oxford&#8217;s Nuffield Department of Primary Care Health Sciences. He is also president emeritus of the British Pharmacological Society.<\/em><\/span><\/p>\n<p><strong>Competing interests:<\/strong> None declared.<\/p>\n<table>\n<tbody>\n<tr style=\"border: 1px solid black\">\n<td style=\"border: 1px solid black;text-align: center\">\n<p style=\"text-align: center\"><b>This week&#8217;s interesting integer: 265<\/b><\/p>\n<p style=\"text-align: left\">\u2022 <span style=\"font-weight: 400\">265 is the sum of two consecutive squares <\/span><span style=\"font-weight: 400\">and two non-consecutive squares: <\/span><span style=\"font-weight: 400\">265 = 11<sup>2<\/sup> + 12<sup>2<\/sup> = 121 + 144 = <\/span><span style=\"font-weight: 400\">3<sup>2<\/sup> + 16<sup>2<\/sup> = 9 + 256<\/span><\/p>\n<p style=\"text-align: left\">\u2022 <span style=\"font-weight: 400\">265 is a member of the Padovan sequence, named after Richard Padovan, who presumably has an ancestor from Padua. The sequence is illustrated below.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-46920\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/Capture.jpg\" alt=\"\" width=\"566\" height=\"439\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/Capture.jpg 566w, https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/Capture-300x233.jpg 300w\" sizes=\"auto, (max-width: 566px) 100vw, 566px\" \/><\/p>\n<p style=\"text-align: left\"><span style=\"font-weight: 400\">Starting at the top left corner we draw an equilateral triangle, side length 1 (yellow). We draw another unit triangle next to it (blue) and then another above that one (green). Now we keep adding triangles, always laying them along the longest available side: length 2 (orange), length 2 (yellow), length 3 (blue), length 4 (grey), length 5 (green), length 7 (blue), and length 9 (salmon). We can go on doing this ad infinitum, and the Padovan sequence is the side-lengths of the triangles in the order in which they are added:<\/span><\/p>\n<p style=\"text-align: left\"><span style=\"font-weight: 400\">1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 49, 65, 86, 114, 151, 200, 265<\/span><\/p>\n<p style=\"text-align: left\"><span style=\"font-weight: 400\">Each member, n, starting with the first 2 in the sequence, is formed from (n\u20132) + (n\u20133). So, 265 = 114 + 151<\/span><\/p>\n<p style=\"text-align: left\">\u2022 <span style=\"font-weight: 400\">265 is the only three-digit subfactorial. Take the string of digits 1:2:3 Now create all the possible strings of these three digits in which none of them ever appears in its own original position. Here they are: 2:3:1 <\/span><span style=\"font-weight: 400\">\u23af<\/span><span style=\"font-weight: 400\"> 3:1:2 <\/span><span style=\"font-weight: 400\">\u23af<\/span><span style=\"font-weight: 400\"> just two of them pass the out-of-position test. Now try it with four digits 1:2:3:4. Here are all the possible arrangements:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-46921\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/Capture2.jpg\" alt=\"\" width=\"585\" height=\"93\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/Capture2.jpg 585w, https:\/\/blogs.bmj.com\/bmj\/files\/2020\/03\/Capture2-300x48.jpg 300w\" sizes=\"auto, (max-width: 585px) 100vw, 585px\" \/><\/p>\n<p style=\"text-align: left\"><span style=\"font-weight: 400\">The ones in red pass the test. There are nine of them. !4 = 9 is the way this is written in mathematical symbols. If you have the time and the inclination you might want to try writing down all the permutations of 1:2:3:4:5:6. If you do, you will find that 265 of them pass the test. In other words !6 = 265. ! If you don\u2019t want to bother, there is a formula that will do the work for you; here it is: !n = (n \u2013 1)(!(n \u2013 1) + !(n \u2013 2))<\/span><\/p>\n<p style=\"text-align: left\">\u2022 <span style=\"font-weight: 400\">265 is a Smith number, so called when Albert Wilansky noticed that the phone number (493-7775) of his brother-in-law Harold Smith had an interesting property: the sum of its digits is the same as the sum of the digits of its prime factors (3, 5, 5, and 65837):<\/span><\/p>\n<p style=\"text-align: left\"><span style=\"font-weight: 400\">4 + 9 + 3 + 7 + 7 + 7 + 5 = 3 + 5 + 5 + (6 + 5 + 8 + 3 + 7) = 42.<\/span><\/p>\n<p style=\"text-align: left\"><span style=\"font-weight: 400\">So, 265 = 5 \u00d7 53 and 2 + 6 + 5 = 5 + 5 + 3 = 13<\/span><\/p>\n<p style=\"text-align: left\"><span style=\"font-weight: 400\">Smith numbers are also called joke numbers. Numbers of this type that do not have repeated prime factors are called hoax numbers. So 265 is the tenth Smith number and the twelfth hoax number.<\/span><\/p>\n<p style=\"text-align: left\"><span style=\"font-weight: 400\">\u2022 265 is a semi-Sophie Germain semiprime, i.e. a semiprime (the product of two primes) both of which are Sophie Germain primes, i.e. for which 2p + 1 is also prime. Thus. 265 = 5 \u00d7 53 both of which are Sophie-Germain primes, since 2 \u00d7 5 + 1 = 11 and 2 \u00d7 53 + 1 = 107. For more Sophie Germain primes see Interesting Integers 259, 262, and 263.<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Hw\u00e6t! Several Old English poems begin thus, followed immediately or soon after by some variant of \u201cwe have heard \u2026.\u201d. The best known example is that of Beowulf, which dates [&#8230;]<\/p>\n<p><a class=\"btn btn-secondary understrap-read-more-link\" href=\"https:\/\/blogs.bmj.com\/bmj\/2020\/03\/13\/jeffrey-aronson-when-i-use-a-word-hooping-cough\/\">More&#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":38359,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5762],"tags":[],"class_list":["post-46864","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-jeff-aronsons-words"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Jeffrey Aronson: When I Use a Word . . . 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