March 2017 - mathfun@mailman.xmission.com

Re: [math-fun] Eleven letter quintuple anagram
by Don Reble 08 Mar '17

08 Mar '17

> "anisometric", "creationism", "miscreation", "reactionism", "romanticise" Those are clever, but the reviewers were unkind. No: it's a crime! -- Pilferton Police Service Mice rations! -- New Beddpan Diner's Club Ma, I censor it. -- Daughters of Civility I am corniest. -- Bill G. Cinema riots! -- Port Humbry Gazette It is no cream. -- Weekly Revue Satiric? Me? No. -- Don Reble djr(a)nk.ca

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[math-fun] Eleven letter quintuple anagram
by Bill Gosper 08 Mar '17

08 Mar '17

>Date: 2017-03-07 10:04 >From: Thane Plambeck <tplambeck(a)gmail.com> >The early MARCIONITES often performed RAMISECTION while wearing ACTINOMERIS >that grew among ROMANICITES. Umm, can I borrow your wordlist? > (roger phillips) http://www.grayzonecomics.com/comics ?? --rwg On Tue, Mar 7, 2017 at 9:29 AM Allan Wechsler <acwacw(a)gmail.com> wrote: > "Cretin? So am I." > > > On Tue, Mar 7, 2017 at 5:12 AM, Hans Havermann <gladhobo(a)bell.net> wrote: > > > rwg> {"anisometric", "creationism", "miscreation", "reactionism", "romanticise"} > > > > Marcionites? > > In response to my five words taking an inexcusable 8 hrs., NeilB wrote >You've almost certainly already figured out how to generate the anagrams faster, but here's a function (using GroupBy and associations) that does it fast enough: words = Union[DictionaryLookup[], WordData[]] In[12]:= Length[words] Out[12]= 196529 groups = tim[Values[GroupBy[words,Sort[Characters[#]]&]]]; 0., 187710 (really about a second) In[27]:= MaximalBy[groups,Length] Out[27]= {{capers,crapes,escarp,pacers,parsec,recaps,scrape,secpar,spacer}} [secpar seems to be the old term for parsec] Unfortunately, while finding the maximum anagram groups is fast for arbitrary-length words, the table of maximal anagram groups in English becomes a bit repetitive (if still interesting) after a bit: In[38]:= Column[%] Out[38]= {{12,21},{13,31},{14,41},{15,51},{16,61},{17,71},{18,81},{ 19,91},{23,32},{24,42},{25,52},{26,62},{27,72},{28,82},{29, 92},{34,43},{35,53},{36,63},{37,73},{38,83},{39,93},{45,54} ,{46,64},{47,74},{48,84},{49,94},{56,65},{57,75},{58,85},{ 59,95},{67,76},{68,86},{69,96},{78,87},{79,97},{89,98},{AB, BA},{AC,CA},{AD,DA},{ah,ha},{AI,IA},{AL,LA},{am,ma},{Am,mA} ,{AM,MA},{AR,RA},{AS,SA},{at,ta},{ay,ya},{Bk,kB},{BM,MB},{ BS,SB},{cd,dc},{CD,DC},{CE,EC},{ci,ic},{CT,TC},{cx,xc},{DE, ED},{di,id},{DM,MD},{DO,OD},{DS,SD},{eh,he},{EL,LE},{em,me} ,{er,re},{et,te},{FL,LF},{FM,MF},{gm,mg},{HN,NH},{ho,oh},{ il,li},{IP,PI},{IR,RI},{is,si},{it,ti},{iv,vi},{IV,VI},{IW, WI},{ix,xi},{IX,XI},{KO,OK},{lm,ml},{lo,ol},{ls,sl},{lx,xl} ,{LX,XL},{MN,NM},{mo,om},{MP,PM},{MS,SM},{MT,TM},{mu,um},{ no,on},{NT,TN},{nu,un},{os,so},{rs,sr},{TV,VT},{TX,XT}} {{ate,eat,eta,tae,tea}} {{ates,east,eats,etas,sate,seat,seta,teas}} [ates seems to mean candy shop.] {{asper,pares,parse,pears,rapes,reaps,spare,spear},{ least,slate,stale,steal,stela,tales,teals,tesla}} [To this add presa, as in presa canario, alternatively a point of uptake of a voice of a canon. Unalternatively, the point where the dog starts howling.] {{capers,crapes,escarp,pacers,parsec,recaps,scrape,secpar,spacer}} {{antsier,nastier,retains,retinas,retsina,stainer,stearin}} {{angriest,astringe,gantries,granites,ingrates,rangiest}} {{concenter,concentre,connecter,reconnect}} {{persistent,pinsetters,presentist,prettiness}} {{anisometric,creationism,miscreation,reactionism,romanticise}} {{center stage,centre stage,secret agent},{change state,change taste,state change},{depositional,despoilation,despoliation}} {{abnormalities,marbleisation},{accroides gum,gum accroides},{antiparticles, paternalistic},{attentiveness,tentativeness},{blackish-gray, grayish-black},{blackish-grey,greyish-black},{bluish-purple, purplish-blue},{brownish-gray,grayish-brown},{brownish-grey,greyish-brown},{cavalry horse,horse cavalry},{center spread,centre spread},{certification,rectification},{cherry laurel,laurel cherry},{coalitionists,solicitations},{commissioners,recommissions},{computer user,supreme court},{conservations,conversations},{conservatoire,overreactions},{crevalle jack,jack crevalle},{derequisition,requisitioned},{east by north,north by east},{east by south,south by east},{exploitations, sexploitation},{grayish-green,greenish-gray},{greenish-grey,greyish-green},{hornet's nest,hornets' nest},{imperfections,perfectionism},{interactional, intercalation},{lavender-pink,pink-lavender},{line spectrum,spectrum line},{movie theater,movie theatre},{natural fiber,natural fibre},{north by west,west by north},{optical fiber,optical fibre},{photographers, rephotographs},{restrengthens,strengtheners},{saber-toothed,sabre-toothed},{south by west,west by south},{statelessness,tastelessness},{stomach upset,upset stomach},{theater stage,theatre stage},{verifications,versification}} {{air-to-surface,surface-to-air},{Alaskan Native,Native Alaskan},{barnacle goose,goose barnacle},{blackish-brown,brownish-black},{brownish-green,greenish-brown},{buyer's market,buyers' market},{cardiomyopathy,myocardiopathy},{cartridge font,font cartridge},{center of mass,centre of mass},{certifications,rectifications},{chemical agent,climate change},{chinchilla rat,rat chinchilla},{chocolate milk,milk chocolate},{clock pendulum,pendulum clock},{conservatoires,conservatories},{ consolidations,disconsolation},{dial telephone,telephone dial},{dinner theater,dinner theatre},{disintegration,disorientating},{ egocentrically,geocentrically},{Holy Sepulcher,Holy Sepulchre},{impressibility,permissibility},{impressiveness,permissiveness} ,{interrogatives,tergiversation},{little theater,little theatre},{lusterlessness,lustrelessness},{petrol station,tortoise plant},{propitiousness,superpositions},{saber rattling,sabre rattling},{sulfamethazine,sulfamezathine},{theater of war,theatre of war},{theater ticket,theatre ticket}} {{algorithmically,logarithmically},{brownish yellow,yellowish brown},{Canadian French,French Canadian},{conservationist,conversationist},{cubic decimeter,cubic decimetre},{cubic kilometer,cubic kilometre},{delta hepatitis,hepatitis delta},{false miterwort,false mitrewort},{genus Myrciaria,genus Myricaria},{greenish yellow,yellowish green},{head over heels,heels over head},{inferior rectus,rectus inferior},{jerboa kangaroo,kangaroo jerboa},{lead tetraethyl,tetraethyl lead},{library program,program library},{micromillimeter,micromillimetre},{Pieter Breughel,Pieter Brueghel},{rectus superior,superior rectus},{seller's market,sellers' market},{shopping center,shopping centre},{theater curtain,theatre curtain}} {{atomic number 12,atomic number 21},{atomic number 13,atomic number 31},[. . .],{atomic number 89,atomic number 98},{Canandaigua Lake,Lake Canandaigua},{configurationism,misconfiguration},{cubic centimeter,cubic centimetre},{cubic millimeter,cubic millimetre},{family Aceraceae,family Arecaceae},{family Oestridae,family Ostreidae},{genus Canachites,genus Chaenactis},{marmalade orange,orange marmalade},{parental quality,paternal quality},{printing process,process printing},{Prunus americana,Prunus armeniaca},{theater director,theatre director},{whited sepulcher,whited sepulchre}} {{atomic number 101,atomic number 110},{cappuccino coffee,coffee cappuccino},{center of gravity,centre of gravity},{chlorohydric acid,hydrochloric acid},{fiber optic cable,fibre optic cable},{operating theater,operating theatre},{Pistia stratiotes,Pistia stratoites},{sodium thiopental,thiopental sodium},{true lover's knot,true lovers' knot}} {{center of buoyancy,centre of buoyancy},{Douay-Rheims Bible,Rheims-Douay Bible},{instrumental music,musical instrument},{loan participation,participation loan},{philosopher's wool,philosophers' wool},{vaudeville theater,vaudeville theatre}} {{center of attention,centre of attention},{center of curvature,centre of curvature},{center of flotation,centre of flotation},{center of immersion,centre of immersion},{encephalomeningitis,meningoencephalitis},{group psychotherapy,psychotherapy group},{kilometers per hour,kilometres per hour},{philosopher's stone,philosophers' stone}} {{bleu cheese dressing,blue cheese dressing},{Douay-Rheims Version,Rheims-Douay Version}} {{Adams-Stokes syndrome,Stokes-Adams syndrome},{chromatography column,column chromatography},{theater of operations,theatre of operations}} {{air-to-surface missile,surface-to-air missile},{Eaton-Lambert syndrome,Lambert-Eaton syndrome},{part to whole relation,whole to part relation}} {{execution of instrument,instrument of execution},{florist's chrysanthemum,florists' chrysanthemum}} {{analog-digital converter,digital-analog converter},{Black English Vernacular,Black Vernacular English}} {{Creutzfeldt-Jakob disease,Jakob-Creutzfeldt disease},{Tweedledee and Tweedledum,Tweedledum and Tweedledee}} {{analog-to-digital converter,digital-to-analog converter}} {{American War of Independence,War of American Independence}} {{electronic imitative deception,imitative electronic deception}} {{electronic simulative deception,simulative electronic deception},{fiber-optic transmission system,fibre-optic transmission system}} {{electronic manipulative deception,manipulative electronic deception}} I do like "supreme court/computer user" and "petrol station / tortoise plant", though! ----------------------- Neil went on to find the analogous anagrams in In[50]:= DictionaryLookup[All] Out[50]= {Arabic,BrazilianPortuguese,Breton,BritishEnglish,Catalan, Croatian,Danish,Dutch,English,Esperanto,Faroese,Finnish, French,Galician,German,Hebrew,Hindi,Hungarian,IrishGaelic, Italian,Latin,Polish,Portuguese,Russian,ScottishGaelic,Spanish,Swedish} >The largest example this program turned up is this incredible 34-word set from Hebrew: בוערי ביעור ביערו יבוער יבערו יובער יועבר יורבע יורעב ... --rwg

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[math-fun] Eleven letter quintuple anagram
by Bill Gosper 07 Mar '17

07 Mar '17

In[359]:= Select[words, StringLength@# == 11 &] // tim; > > 0.333922,20250 > Wow! In[360]:= MaximalBy[%, Length@anagrams@# &] // tim During evaluation of In[360]:= 30110.569159,5 Out[360]= {"anisometric", "creationism", "miscreation", "reactionism", "romanticise"} --rwg

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Re: [math-fun] Eleven letter quintuple anagram
by Henry Baker 07 Mar '17

07 Mar '17

Wow! Re "creationism" & "miscreation": There must be plenty of other anagrams with "Xism" and "misX" for some X ... At 04:21 PM 3/6/2017, Bill Gosper wrote: >{"anisometric", "creationism", "miscreation", "reactionism", "romanticise"}

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[math-fun] The Infinity Puzzle
by Eric Angelini 03 Mar '17

03 Mar '17

Nice idea, Best, É. https://n-e-r-v-o-u-s.com/blog/?p=7613

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[math-fun] DNA for computer storage?
by Henry Baker 03 Mar '17

03 Mar '17

FYI -- "215 petabytes per gram of DNA" [This just in: NSA puts gigantic Bluffdale facility back onto the real estate market.] (paywalled) http://science.sciencemag.org/content/355/6328/950 DNA Fountain enables a robust and efficient storage architecture Yaniv Erlich, Dina Zielinski1 Science 03 Mar 2017: Vol. 355, Issue 6328, pp. 950-954 DOI: 10.1126/science.aaj2038 A reliable and efficient DNA storage architecture DNA has the potential to provide large-capacity information storage. However, current methods have only been able to use a fraction of the theoretical maximum. Erlich and Zielinski present a method, DNA Fountain, which approaches the theoretical maximum for information stored per nucleotide. They demonstrated efficient encoding of informationÂincluding a full computer operating systemÂinto DNA that could be retrieved at scale after multiple rounds of polymerase chain reaction. Abstract DNA is an attractive medium to store digital information. Here we report a storage strategy, called DNA Fountain, that is highly robust and approaches the information capacity per nucleotide. Using our approach, we stored a full computer operating system, movie, and other files with a total of 2.14 Ã 106 bytes in DNA oligonucleotides and perfectly retrieved the information from a sequencing coverage equivalent to a single tile of Illumina sequencing. We also tested a process that can allow 2.18 Ã 1015 retrievals using the original DNA sample and were able to perfectly decode the data. Finally, we explored the limit of our architecture in terms of bytes per molecule and obtained a perfect retrieval from a density of 215 petabytes per gram of DNA, orders of magnitude higher than previous reports.

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