{"id":50130,"date":"2021-04-26T16:49:39","date_gmt":"2021-04-26T15:49:39","guid":{"rendered":"https:\/\/blogs.bmj.com\/bmj\/?p=50130"},"modified":"2021-05-07T15:36:06","modified_gmt":"2021-05-07T14:36:06","slug":"jeffrey-aronson-when-i-use-a-word-a-difficult-infection","status":"publish","type":"post","link":"https:\/\/blogs.bmj.com\/bmj\/2021\/04\/26\/jeffrey-aronson-when-i-use-a-word-a-difficult-infection\/","title":{"rendered":"Jeffrey Aronson: When I Use a Word . . . A difficult infection"},"content":{"rendered":"<p><span style=\"font-weight: 400\">Surveying new biomedical words listed in the <\/span><i><span style=\"font-weight: 400\">Oxford English Dictionary<\/span><\/i><span style=\"font-weight: 400\"> (<\/span><i><span style=\"font-weight: 400\">OED<\/span><\/i><span style=\"font-weight: 400\">) since 1970, I have found fewer examples each year. For example, the 1970 list contained 61 words and the 1980 list 27; in the 1990 list (Table 1) there are 12. However, the list still contains much of interest. \u201cNutraceutical\u201d, for instance, which I previously discussed in a <\/span><a href=\"https:\/\/pubmed.ncbi.nlm.nih.gov\/26991455\/\"><span style=\"font-weight: 400\">paper<\/span><\/a><span style=\"font-weight: 400\"> titled \u201cDefining nutraceuticals: neither nutritious nor pharmaceutical\u201d, highlighting the widespread inconsistencies and contradictions in the many published definitions of \u201cnutraceuticals\u201d and a term that is often regarded as synonymous with it, \u201cfunctional foods\u201d.<\/span><\/p>\n<p><span style=\"font-weight: 400\">Here, however, I shall focus on another item in the list, \u201cC. diff.\u201d<\/span><\/p>\n<p><b>Table 1. <\/b><span style=\"font-weight: 400\">Biomedical words (n=12) in the <\/span><i><span style=\"font-weight: 400\">OED<\/span><\/i><span style=\"font-weight: 400\"> for which the earliest citations are from 1990 (out of a total of 129); I have found two antedatings (1 and 90 years)<\/span><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-50137\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_3.jpg\" alt=\"\" width=\"304\" height=\"229\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_3.jpg 304w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_3-300x226.jpg 300w\" sizes=\"auto, (max-width: 304px) 100vw, 304px\" \/><\/p>\n<hr \/>\n<p><span style=\"font-weight: 400\">*<\/span> <span style=\"font-weight: 400\">Antedatings: nutraceutical (1989); oversupinate (<\/span><a href=\"https:\/\/www.google.co.uk\/books\/edition\/The_Philadelphia_Medical_Journal\/31YcAQAAMAAJ?hl=en&amp;gbpv=1&amp;bsq=oversupinating&amp;dq=oversupinating&amp;printsec=frontcover\"><span style=\"font-weight: 400\">1900<\/span><\/a><span style=\"font-weight: 400\">)<\/span><br \/>\n<span style=\"font-weight: 400\">The antedating of \u201coversupinate\u201d is unusual, in that the word is incompletely defined in the dictionary, and a proper definition would encompass earlier examples; \u201coversupination\u201d is defined as \u201cExcessive supination of the feet, esp. when running\u201d and \u201coversupinate\u201d as \u201cTo run or walk so that the weight falls upon the outer sides of the feet to a greater extent than is necessary, desirable, etc.; to supinate excessively. Also with the feet as subject.\u201d But the definition should have extended, as it were, to the arms, which can also be oversupinated. The earliest instance of \u201coversupination\u201d referring to the arms that I have found is from <\/span><a href=\"https:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC5878514\/pdf\/glasgowmedj75292-0058.pdf\"><span style=\"font-weight: 400\">1871<\/span><\/a><span style=\"font-weight: 400\">, in a paper by John Lyell in the <\/span><i><span style=\"font-weight: 400\">Glasgow Medical Journal<\/span><\/i><span style=\"font-weight: 400\">, \u201cPartial displacement of the head of the radius in children\u201d (\u201cIt seems to me that the radius somehow from over-supination catches on the adjacent ulna and is there retained\u201d); \u201coversupinate&#8221; can be found in 1900: \u201cFractures of the neck of the radius may occur from ligamentous strain either by putting the obicular ligament [<\/span><i><span style=\"font-weight: 400\">sic<\/span><\/i><span style=\"font-weight: 400\">] on a stretch by oversupinating the forearm or by forcing the ulnar away from the radius by violent dislocation backward\u201d (<\/span><i><span style=\"font-weight: 400\">Philadelphia Medical Journal<\/span><\/i><span style=\"font-weight: 400\"> 1900; 5: 564)<\/span><br \/>\n<span style=\"font-weight: 400\">\u2020<\/span> <i><span style=\"font-weight: 400\">C. diff.<\/span><\/i><span style=\"font-weight: 400\"> has its own entry in the <\/span><i><span style=\"font-weight: 400\">OED<\/span><\/i><span style=\"font-weight: 400\">, as do <\/span><i><span style=\"font-weight: 400\">C. difficile<\/span><\/i><span style=\"font-weight: 400\"> and <\/span><i><span style=\"font-weight: 400\">Clostridium<\/span><\/i><span style=\"font-weight: 400\">, but <\/span><i><span style=\"font-weight: 400\">Clostridium difficile<\/span><\/i><span style=\"font-weight: 400\"> has somehow evaded inclusion; however, an etymological note under <\/span><i><span style=\"font-weight: 400\">C. difficile<\/span><\/i><span style=\"font-weight: 400\"> tells us that it is a shortened form of the scientific Latin term <\/span><i><span style=\"font-weight: 400\">Clostridium difficile<\/span><\/i><span style=\"font-weight: 400\">, \u201c[the] name of a species of bacterium (1939 or earlier)\u201d<\/span><\/p>\n<hr \/>\n<p><span style=\"font-weight: 400\">Adam Pra\u017cmowski first described the <\/span><i><span style=\"font-weight: 400\">Clostridium<\/span><\/i><span style=\"font-weight: 400\"> genus of bacteria in a dissertation, <\/span><i><span style=\"font-weight: 400\">Untersuchung \u00fcber die Entwickelungsgeschichte und Fermentwirking einiger Bacterien-Arten<\/span><\/i><span style=\"font-weight: 400\"> (Leipzig: Hugo Voigt, 1880). A reviewer (\u201cDr. K.M.\u201d), writing in the <\/span><a href=\"https:\/\/www.jstor.org\/stable\/43338237\"><i><span style=\"font-weight: 400\">\u00d6sterreichische Botanische Zeitschrift<\/span><\/i><\/a><span style=\"font-weight: 400\">, described it as \u201c[a] treatise, rich in new observations, \u2026and a highly valuable contribution to our understanding of morphological and evolutionary relationships among bacteria.\u201d Pra\u017cmowski derived the term \u201c<\/span><i><span style=\"font-weight: 400\">Clostridium<\/span><\/i><span style=\"font-weight: 400\">\u201d from the diminutive form of the Greek word \u03ba\u03bb\u03c9\u03c3\u03c4\u03ae\u03c1, a spindle, because of the shape of the organism (Figure 1).<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-50131\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_2021.jpg\" alt=\"\" width=\"479\" height=\"480\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_2021.jpg 479w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_2021-300x300.jpg 300w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_2021-150x150.jpg 150w\" sizes=\"auto, (max-width: 479px) 100vw, 479px\" \/><br \/>\n<b>Figure 1. <\/b><span style=\"font-weight: 400\">Spindle-shaped organisms (\u201c<\/span><i><span style=\"font-weight: 400\">Bacillus difficilis<\/span><\/i><span style=\"font-weight: 400\">\u201d) isolated from infants\u2019 stools by Hall &amp; O\u2019Toole in 1935, grown on blood agar alkaline pyrogallol stained by Gram&#8217;s method<\/span><\/p>\n<p><span style=\"font-weight: 400\">Then in <\/span><a href=\"https:\/\/jamanetwork.com\/journals\/jamapediatrics\/article-abstract\/1176814\"><span style=\"font-weight: 400\">1935<\/span><\/a><span style=\"font-weight: 400\"> Ivan Hall and Elizabeth O\u2019Toole described an organism that they called <\/span><i><span style=\"font-weight: 400\">Bacillus difficilis<\/span><\/i><span style=\"font-weight: 400\">, because it seemed to belong to the <\/span><i><span style=\"font-weight: 400\">Bacillus<\/span><\/i><span style=\"font-weight: 400\"> genus and was hard to grow in vitro, being an obligate anaerobe. It was later identified as a member of the <\/span><i><span style=\"font-weight: 400\">Clostridium<\/span><\/i><span style=\"font-weight: 400\"> genus by Andr\u00e9 Romain Pr\u00e9vot who called it \u201c<\/span><i><span style=\"font-weight: 400\">Cl difficilis<\/span><\/i><span style=\"font-weight: 400\">\u201d (Figure 2), forgetting, or being unaware, that while \u201c<\/span><i><span style=\"font-weight: 400\">Bacillus<\/span><\/i><span style=\"font-weight: 400\">\u201d in Latin is masculine, \u201c<\/span><i><span style=\"font-weight: 400\">Clostridium<\/span><\/i><span style=\"font-weight: 400\">\u201d is neuter. He included <\/span><i><span style=\"font-weight: 400\">C. difficile<\/span><\/i><span style=\"font-weight: 400\"> among the types of clostridia that he labelled \u201cpeu pathog\u00e8nes\u201d. Wrong again.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-50132\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_2021_2.jpg\" alt=\"\" width=\"385\" height=\"828\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_2021_2.jpg 385w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_2021_2-139x300.jpg 139w\" sizes=\"auto, (max-width: 385px) 100vw, 385px\" \/><br \/>\n<b>Figure 2.<\/b><span style=\"font-weight: 400\"> Extracts from Andr\u00e9 Romain Pr\u00e9vot\u2019s review of the organisms that he considered belonged to the <\/span><i><span style=\"font-weight: 400\">Clostridium<\/span><\/i><span style=\"font-weight: 400\"> genus, including \u201c<\/span><i><span style=\"font-weight: 400\">Cl. difficilis<\/span><\/i><span style=\"font-weight: 400\">\u201d (<\/span><i><span style=\"font-weight: 400\">Annales de l&#8217;Institut Pasteur<\/span><\/i><span style=\"font-weight: 400\"> 1938; 61 (1): 78-99); since then it has been <\/span><a href=\"https:\/\/pubmed.ncbi.nlm.nih.gov\/27370902\/\"><span style=\"font-weight: 400\">recognized<\/span><\/a><span style=\"font-weight: 400\">, based on 16S rRNA gene sequence analysis, that many of the organisms that have been assigned to that genus are not proper members of what is now called <\/span><i><span style=\"font-weight: 400\">Clostridium sensu stricto<\/span><\/i><span style=\"font-weight: 400\">; <\/span><i><span style=\"font-weight: 400\">Clostridium difficile<\/span><\/i><span style=\"font-weight: 400\"> has therefore been renamed <\/span><i><span style=\"font-weight: 400\">Clostridioides difficile<\/span><\/i><\/p>\n<hr \/>\n<p><span style=\"font-weight: 400\">Pseudomembranous colitis had been described in <\/span><a href=\"https:\/\/pubmed.ncbi.nlm.nih.gov\/3510840\/\"><span style=\"font-weight: 400\">1893<\/span><\/a><span style=\"font-weight: 400\"> by John Miller Turpin Finney, before the advent of antibacterial drugs. But in 1977 it was <\/span><a href=\"https:\/\/pubmed.ncbi.nlm.nih.gov\/915343\/\"><span style=\"font-weight: 400\">shown<\/span><\/a><span style=\"font-weight: 400\"> that clindamycin-associated colitis in Syrian hamsters was due to a toxin-producing species of <\/span><i><span style=\"font-weight: 400\">Clostridium<\/span><\/i><span style=\"font-weight: 400\">, <\/span><i><span style=\"font-weight: 400\">Clostridium difficile.<\/span><\/i><span style=\"font-weight: 400\">\u00a0It was <\/span><a href=\"https:\/\/pubmed.ncbi.nlm.nih.gov\/892381\/\"><span style=\"font-weight: 400\">sensitive<\/span><\/a><span style=\"font-weight: 400\"> to vancomycin, treatment with which was effective in 49 patients.<\/span><\/p>\n<p><span style=\"font-weight: 400\">In the 1980s, when infection with <\/span><i><span style=\"font-weight: 400\">Clostridium difficile <\/span><\/i><span style=\"font-weight: 400\">became a major problem in UK hospitals, clinicians started to refer to \u201cC. diff.\u201d, partly because abbreviations like this are common (e.g. \u201cstrep\u201d and \u201cstaph\u201d) and perhaps also because they were unsure about how to pronounce the second part of the name. Might it be \u201cdee-fee-seel\u201d as in French? Or \u201cdee-fee-chillay\u201d as in Italian, for example? Neither. It\u2019s \u201cdi-<\/span><span style=\"font-weight: 400\">\u00b4<\/span><span style=\"font-weight: 400\">fi-ki-lay\u201d as in Latin, the hard <\/span><i><span style=\"font-weight: 400\">c<\/span><\/i><span style=\"font-weight: 400\"> being justified by contemporary scholarship on the way in which classical Latin was pronounced.<\/span><\/p>\n<p><span style=\"font-weight: 400\">In the summer of 2007, infections with <\/span><i><span style=\"font-weight: 400\">C. difficile<\/span><\/i><span style=\"font-weight: 400\"> in UK hospitals became headline news. The BBC in particular took to pronouncing it \u201cdee-fee-seel\u201d. Dot Wordsworth in <\/span><i><span style=\"font-weight: 400\">The Spectator<\/span><\/i><span style=\"font-weight: 400\"> (18 August 2007, page 18) took exception to this and quoted the BBC\u2019s Pronunciation Unit, which justified its quasi-French pronunciation of \u201cdifficile\u201d as follows: &#8220;This pronunciation is in line with the usage of the various microbiology and infection control experts the BBC has consulted. Medical Latin is commonly anglicized [<\/span><i><span style=\"font-weight: 400\">sic<\/span><\/i><span style=\"font-weight: 400\">].\u201d \u201cMy difficulty,\u201d wrote Wordsworth, \u201cis with the dropping of the final vowel of difficile. When people trot out the Latin tag mirabile dictu they manage to keep the \u2013e. The alchemists&#8217; idea of drinkable gold was aurum potabile. If the Queen, instead of speaking of an annus horribilis, had referred to a tempus horribile, she would not have dropped the final e any more than the initial h.\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400\">Then Professor Graham Anderson, professor of Classics at the University of Kent, wrote to <\/span><i><span style=\"font-weight: 400\">The Times<\/span><\/i><span style=\"font-weight: 400\"> (15 October 2007): \u201c[<\/span><i><span style=\"font-weight: 400\">Clostridium difficile<\/span><\/i><span style=\"font-weight: 400\">] looks like a normal piece of medical Latin, the language used for historical reasons to classify bacteria. But because the form difficile is common to Latin and French to the eye, the broadcasting media choose quite wrongly to call it clostridium dee-fee-seel and not the four-syllable dif-fi-ci-le of Latin. What is offensive is not so much the ignorance, but the fancy that one is being correct: it looks foreign, so it must have a foreign pronunciation, n\u2019importe quelle langue. I wonder what members of the Acad\u00e9mie Fran\u00e7aise would make of this outrageous piece of franglatine?\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400\">Saying \u201cC. diff.\u201d completely avoids the problem.\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-50138\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_4.jpg\" alt=\"\" width=\"669\" height=\"298\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_4.jpg 669w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_4-300x134.jpg 300w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_4-640x285.jpg 640w\" sizes=\"auto, (max-width: 669px) 100vw, 669px\" \/><\/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 style=\"text-align: left\"><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\">\n<p style=\"text-align: center\"><b>This week&#8217;s interesting integer: 320<\/b><\/p>\n<p style=\"text-align: center\"><b>Geometric numbers<\/b><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">320 is a toothpick number, as illustrated in the diagrams below<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(a)<\/span> <span style=\"font-weight: 400\">Lay down four toothpicks in a cross (black)<\/span><br \/>\n<span style=\"font-weight: 400\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(b)<\/span> <span style=\"font-weight: 400\">Add a toothpick at each the four vacant ends at right angles (red)<\/span><br \/>\n<span style=\"font-weight: 400\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(c)<\/span> <span style=\"font-weight: 400\">Repeat (orange)<\/span><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-50139\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_5.jpg\" alt=\"\" width=\"611\" height=\"162\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_5.jpg 611w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_5-300x80.jpg 300w\" sizes=\"auto, (max-width: 611px) 100vw, 611px\" \/><\/p>\n<p><span style=\"font-weight: 400\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(d)<\/span> <span style=\"font-weight: 400\">Keep repeating; after 22 cycles you will reach the pattern below, which contains 320 toothpicks; compare this with the pattern achieved by starting with a single black toothpick (<\/span><a href=\"https:\/\/blogs.bmj.com\/bmj\/2021\/04\/16\/jeffrey-aronson-when-i-use-a-word-new-and-not-so-new-medical-words\"><span style=\"font-weight: 400\">Interesting integer 319<\/span><\/a><span style=\"font-weight: 400\">)<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-50141\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_6.jpg\" alt=\"\" width=\"586\" height=\"478\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_6.jpg 586w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_6-300x245.jpg 300w\" sizes=\"auto, (max-width: 586px) 100vw, 586px\" \/><\/p>\n<p><span style=\"font-weight: 400\">\u25cf<\/span> <span style=\"font-weight: 400\">Find 320 in the hexagonal spiral below<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-50142\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_7.jpg\" alt=\"\" width=\"678\" height=\"622\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_7.jpg 678w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_7-300x275.jpg 300w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_7-640x587.jpg 640w\" sizes=\"auto, (max-width: 678px) 100vw, 678px\" \/><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">Thus, the tenth rhombic matchstick number contains 320 matchsticks:<\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-50143\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_8.jpg\" alt=\"\" width=\"669\" height=\"397\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_8.jpg 669w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_8-300x178.jpg 300w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_8-640x380.jpg 640w\" sizes=\"auto, (max-width: 669px) 100vw, 669px\" \/><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">320 = 5 + 15 + 25 + 35 + 45 + 55 + 65 + 75; each of these numbers is the number of dots in an even-numbered pentagon; so 320 is a concentric pentagonal number<\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-50148\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_11.jpg\" alt=\"\" width=\"428\" height=\"359\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_11.jpg 428w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_11-300x252.jpg 300w\" sizes=\"auto, (max-width: 428px) 100vw, 428px\" \/><\/p>\n<p style=\"text-align: center\"><b>Named numbers<\/b><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">Like 319, 320 is a <\/span><a href=\"https:\/\/blogs.bmj.com\/bmj\/2020\/02\/21\/jeffrey-aronson-when-i-use-a-word-anamnesis\"><span style=\"font-weight: 400\">happy number<\/span><\/a><span style=\"font-weight: 400\">;<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0calculate 3<sup>2<\/sup> + 2<sup>2<\/sup> + 0<sup>2<\/sup> = 13; then 1<sup>2<\/sup> + 3<sup>2<\/sup> = 10; and 1<sup>2<\/sup> + 0<sup>2<\/sup> = 1;<\/span><br \/>\n<span style=\"font-weight: 400\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0the happy numbers up to 331 are shown in the figure below, with 320 highlighted:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-50144\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_9.jpg\" alt=\"\" width=\"663\" height=\"334\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_9.jpg 663w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_9-300x151.jpg 300w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_9-640x322.jpg 640w\" sizes=\"auto, (max-width: 663px) 100vw, 663px\" \/><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">320 is a multiple of the sum of its digits = 5 \u00d7 64; that makes it a Harshad number, , which were first described by the Indian mathematician D R Kaprekar; harshad is a Sanskrit word meaning a giver of joy<\/span><\/li>\n<li><span style=\"font-weight: 400\">320 = 8<sup>2<\/sup> + 2<sup>8<\/sup>; that makes it a Leyland number, named after the mathematician Paul Leyland<\/span><\/li>\n<\/ul>\n<p style=\"text-align: center\"><b>Sums of 320<\/b><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">320 = 2<sup>6<\/sup> + 2<sup>6<\/sup> + 2<sup>6<\/sup> + 2<sup>6<\/sup> + 2<sup>6<\/sup><\/span><\/li>\n<li><span style=\"font-weight: 400\">320 is the sum of consecutive odd numbers in five ways<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0159 + 161<\/span><br \/>\n<span style=\"font-weight: 400\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a077 + 79 + 81 + 83<\/span><br \/>\n<span style=\"font-weight: 400\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a033 + 35 + 37 + 39 + 41 + 43 + 45 + 47<\/span><br \/>\n<span style=\"font-weight: 400\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a023 + 25 + 27 + 29 + 31 + 33 + 35 + 37 + 39 + 41<\/span><br \/>\n<span style=\"font-weight: 400\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a05 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35\u00a0<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">320 is the sum of consecutive numbers = 62 + 63 + 64 + 65 + 66<\/span><\/li>\n<li><span style=\"font-weight: 400\">320 is the sum of two consecutive primes = 157 + 163<\/span><\/li>\n<li><span style=\"font-weight: 400\">320 is the sum of two squares in only one way = 8<sup>2<\/sup> + 16<sup>2<\/sup><\/span><\/li>\n<li><span style=\"font-weight: 400\">320 is the sum of distinct powers of 4 = 4<sup>3<\/sup> + 4<sup>4<\/sup><span style=\"font-weight: 400\">; that makes it a member of the <\/span><a href=\"https:\/\/blogs.bmj.com\/bmj\/2020\/05\/07\/jeffrey-aronson-when-i-use-a-word-chains-of-exponentials\"><span style=\"font-weight: 400\">Moser-de Bruijn sequence<\/span><\/a><\/span><\/li>\n<\/ul>\n<p style=\"text-align: center\"><b>All the fours<\/b><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">320 = 4<sup>4<\/sup>\/(.4 + .4)<\/span><\/li>\n<\/ul>\n<p><b>Pythagorean<\/b><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">There are 16 Pythagorean triples that include 320; only the first two here are primitive:<\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-50145 aligncenter\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_10.jpg\" alt=\"\" width=\"655\" height=\"89\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_10.jpg 655w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_10-300x41.jpg 300w, https:\/\/blogs.bmj.com\/bmj\/files\/2021\/04\/aronson_23_april_10-640x87.jpg 640w\" sizes=\"auto, (max-width: 655px) 100vw, 655px\" \/><\/p>\n<p><span style=\"font-weight: 400\">\u25cf<\/span> <span style=\"font-weight: 400\">320 is the perimeter of the Pythagorean triangle 64, 120, 136<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Surveying new biomedical words listed in the Oxford English Dictionary (OED) since 1970, I have found fewer examples each year. For example, the 1970 list contained 61 words and the [&#8230;]<\/p>\n<p><a class=\"btn btn-secondary understrap-read-more-link\" href=\"https:\/\/blogs.bmj.com\/bmj\/2021\/04\/26\/jeffrey-aronson-when-i-use-a-word-a-difficult-infection\/\">More&#8230;<\/a><\/p>\n","protected":false},"author":419,"featured_media":38359,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5762],"tags":[],"class_list":["post-50130","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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