Saturday, April 23, 2022

Daughter

Daughter (pronounced daw-ter)

(1) A female child or person in relation to her parents.

(2) Any female descendant (now rare).

(3) A person said to be related to an institution as if by the ties binding daughter to parent (daughter of the church; Daughters of the American Revolution et al).

(4) Any female (archaic in the English-speaking world but used sometimes by some cultures to indicate some closeness of family relationship, rather as aunt & uncle are sometimes used in the West).

(5) Any institution or other thing personified as female and considered with respect to its origin (eg Australia is the daughter of the six colonies).

(6) In chemistry & physics (of a nuclide), an isotope formed by radioactive decay of another isotope.

(7) In biology, pertaining to a cell or other structure arising from division or replication (eg the daughter cell; daughter DNA).

(8) As daughterboard, IBM’s original descriptor for boards (now called piggyback boards, riser cards or mezzanine boards) which directly (usually by soldering) connect to motherboards (now called main or system boards).

(9) In historical linguistics, as daughter language (known also as a descendant language), a language descended from another (its mother language) through genetic descent as opposed to a "sister language" which is one which also evolved from the proto- mother language but formed a separate branch.  The model is that of a tree where the mother language is the trunk and the branches the daughters and sisters (each of which can have their own daughters and sisters).  The image of the tree represents the diversification of languages from a root source.

Pre 950: From the Middle English goghter & doughter, from the Old English dohtor (female child considered with reference to her parents; daughter) from the Proto-West Germanic dohter, from the Proto-Germanic dokhter and the earlier dhutēr, from the primitive Indo-European dughtr, source also of the Sanskrit duhitā & duhitar-, the Avestan dugeda-, the Armenian dustr, the Old Church Slavonic dušti, the Lithuanian duktė and the Ancient Greek thygátēr & thugatēr).  The Proto-Germanic forms were the source also of the Old Saxon dohtar, the Old Norse dóttir, the Old Frisian and Dutch dochter, the Old High German tohter, the German Tochter and the Gothic dauhtar.

Dutiful daughter: Donald (b 1946; US president 2017-2021) & Ivanka Trump (b 1981;  senior advisor in the Trump administration 2017-2021) in an extended (stretch) Lincoln Continental limousine, New York City, circa 1992.

The common Indo-European word was lost in Celtic and Latin; the Latin filia (daughter) is the feminine form of filius (son), the most obvious connection in Modern English being young female horses: a filly is a beast under four and thus too young to be a mare and filly is still used as humorous and affectionate slang to refer to a lively girl or young woman.  The modern spelling evolved in the sixteenth century in southern England.  In late Old English, the form also emerged of a "woman viewed in some analogous relationship" (to her native country, church, culture etc and that use persists to this day) and from circa 1200 could be used to describe anything regarded as feminine.  Daughter-in-law is attested from the late fourteenth century.  The noun plural is daughters, the long archaic form being daughtren and the last surviving obsolete spelling was dafter.  The adjective daughterly (relating to or characteristic of a daughter) is technically neutral but has long denoted “dutiful (towards parents)”, the “dutiful daughter” a frequent reference in English literature.

The noun step-daughter was from the Old English stepdohtor, the formation aligned with the German Stieftochter.  Grand-daughter, like the related forms to describe recent ancestors and relations dates from 1610.  The noun god-daughter (female godchild, girl one sponsors at her baptism) was adopted in the mid-thirteenth century as a modification of the Old English goddohtor.  The noun filicide (action of killing a son or daughter) dates from the 1660s, the construct being the Latin filius/filia (son/daughter) + -cide (a killing), the meaning extended after 1823 to "one who kills a son or daughter", filicidal appearing shortly after.  Bathsheba was the Biblical wife of King David, mother of Solomon, from the Hebrew Bathshebha (literally "daughter of the oath" from bath (daughter).

IBM: Mothers and daughters but not sisters

IBM PC-1 (1981).

IBM didn’t invent the motherboard.  It evolved into the form in which it became well-known in the early 1980s because advances in technology had reduced the size of certain components (CPU, memory etc) which used to be separate devices which were wired together to run as a unit.  When IBM released the original PC-1 in 1981, it was built around a motherboard which contained slots into which expansion boards could be plugged and various connectors with which compatible devices could be connected.  Given there were motherboards, IBM, in the innocent age of the 1980s, decided other peripheral components, those usually directly embedded through soldering to the motherboard, should be called daughterboards.  Quite how the nomenclature was chosen is either not known or IBM has suppressed the records and the fanciful notion that it’s because the early motherboards contained more female than male connections is just an industry myth.  In the literature, there’s also the odd reference to sisterboards though the name never caught on and "daughter-board" was sometime used to describe cards which plugged-into expansion cards but such devices were rare.

IBM PC-1 motherboard (1981), expansion slots at the top right; it seemed small at the time.

A daughterboard was a circuit board which extends the circuitry of the motherboard and, being soldered, was connected directly, unlike the inherently swappable expansion cards which plugged-in using the bus or other (most often serial, parallel or SCSI (small computer system interface)) interfaces.  Like a motherboard, daughterboards had sockets, pins, plugs and connectors to permit connection to other boards or other devices and have been both part of initial product releases and post-launch updates, the best known example of which were the MIDI (musical instrument digital interface) daughterboards used to add functionality to a sound card.  Except for the odd special build for someone really nerdy, modern personal computers now rarely have daughterboards although they’re still often seen on servers.

1984 Apple Macintosh 128 kb motherboard with SCSI daughterboard (right) and additional RAM daughterboard (left).  A machine with 1 MB RAM was impressive in 1984.

Even before the twenty-first century interest in gender and gendered pronouns, IBM had renamed everything in the corporation which could in anyway be thought sexist, racist etc.  By the late 1990s, although the term motherboard continued widely to be used, IBM had started calling them them variously main-boards or system-boards; daughterboards became piggyback or mezzanine boards.  Interestingly, as part of the linguistic sanitation, IBM started calling hard disk drives "hard files" which was either looking forward to solid-state storage or just one of those inexplicable things which happens when projects assume their own inertia; whatever the reason, the "hard file" never caught on.  The terms male and female for connections (modeled on human anatomy and used in everything from plumbing to the space programme) were retained because their use was universal and convenient or mnemonic gender-neutral substitutes eluded even IBM's language police.  Male and female connectors may be about the only gender-loaded terms which will escape being labelled "micro-aggressions".

Lindsay Lohan: Confessions of a Broken Heart (Daughter to Father).

I wait for the postman to bring me a letter
I wait for the good Lord to make me feel better
And I carry the weight of the world on my shoulders
A family in crisis that only grows older

Why'd you have to go
Why'd you have to go
Why'd you have to go

Daughter to father, daughter to father
I am broken but I am hoping
Daughter to father, daughter to father
I am crying, a part of me is dying and
These are, these are
The confessions of a broken heart

And I wear all your old clothes; your polo sweater
I dream of another you the one who would never, never
Leave me alone to pick up the pieces
A daddy to hold me, that's what I needed

So why'd you have to go
Why'd you have to go
Why'd you have to go

Daughter to father, daughter to father
I don't know you, but I still want to
Daughter to father, daughter to father
Tell me the truth, did you ever love me'
Cause these are, these are
The confessions of a broken heart, of a broken heart

I love you
I love you
I love you
I, I love you

Daughter to father, daughter to father
I don't know you, but I still want to
Daughter to father, daughter to father
Tell me the truth, did you ever love me'
Did you ever love me?
These are
The confessions of a broken heart, oh yeah

And I wait for the postman to bring me a letter

Songwriters: Kara Dioguardi, Lindsay Lohan & William Wells.  Lyrics © BMG Rights Management, Kobalt Music Publishing Ltd, Universal Music Publishing Group, Warner Chappell Music Inc.  From the album A Little More Personal (Raw) (2005).

Broad

Broad (pronounced brawd)

(1) Of great breadth.

(2) A quasi-standard expression of lineal measurement (from side to side).

(3) Of great extent; large; extensive, ample, spacious, vast.

(4) Wide-open; full (applied usually to daylight).

(5) Not limited or narrow; of extensive range or scope (applied to knowledge, experience etc).

(6) Liberal; tolerant (semi-institutionalized as one of the three factions of the Anglican Church (Low, broad & high).

(7) A generalized summary of something (often as broad outline); general rather than specific.

(8) Something made plain or clear; outspoken.

(9) Indelicate; indecent, vulgar (now rare).

(10) Of conversation, rough; countrified, unrefined.

(11) Unconfined; unbridled; unrestrained.

(12) In linguistics, of pronunciation, strongly dialectal; the most exaggerated of its type; consisting of a large number of speech sounds characteristic of a particular geographical area or social class.  As applied to Gaelic languages: velarized (ie palatalized).

(13) In phonetics, of a transcription, using one basic symbol to represent each phoneme; of or relating to a type of pronunciation transcription in which symbols correspond approximately to phonemes without taking account of allophonic variations.

(14) In (mostly historic US & Canadian) slang, a usually disparaging term for a women, often one that hints at promiscuity (but not prostitution); often in the plural.

(15) In film & television production, an incandescent or fluorescent lamp used as a general source of light in a studio.

(16) A type of wide-bladed battle sword.

(17) A gold coin of England and Scotland, minted first in 1656 and issued by James I and Charles I; equal to 20 shillings.

(18) As broadband, a term now vague in meaning which implies a high-speed internet connection but which has been applied to any service rated faster than the highest speed possible using a single analogue modem connected with a conventional phone line (copper pair (Cat3)).

(19) In public finance, as broad money, denoting an assessment of liquidity including notes and coins in circulation, bank holdings, most private-sector bank deposits, and certain bank-deposit certificates; usually classed as M3 in the (sort of) standardized system by which OECD countries measure the money supply.

(20) In UK dialectal use, a river spreading over a lowland (in East Anglia, a shallow lake).

(21) In woodworking, a wood-turning tool used for shaping the insides and bottoms of cylinders.

(22) In the UK, a common pronunciation of B-road (a secondary road).

Pre 1000: From the Middle English brood, brode, brod & broad from the Old English brād (broad, flat, open, extended, spacious, wide, ample, copious; not narrow), from the Proto-Germanic braidi, from the Proto-West Germanic braid, from the Proto-Germanic braidaz (broad), of uncertain origin.  It was cognate with the Scots braid (broad), the West Frisian breed (broad), the Saterland Frisian breed (broad), the Low German breet & breed (broad), the Dutch breed (broad), the German & Old High German breit (broad, wide), the Danish, Swedish & Norwegian Bokmål bred (broad), the Norwegian brei (broad), the Icelandic breiður (broad, wide), the Old Norse breiðr (breithr), the Old Frisian brēd and the Gothic braiths & brouþs.  The word is not found except in Germanic languages and there has never been any clear distinction between broad & wide although there are conventions of use but they vary widely (and presumably in some places broadly) by geographical region.  Related and sometimes synonymous words include deep, expansive, full, large, vast, comprehensive, extensive, far-reaching, sweeping, universal, wide, wide-ranging, clear, explicit, straightforward, radical, improper, indecent & roomy.  Broad is a noun & adjective, broadly is an adverb; broadness is a noun, broaden is a verb, broadening is a noun & verb and broadest & broadish are adjectives; the noun plural is broads.    

Circa 1300, broad also had the specific meaning "breadth", now obsolete, which was from broad the adjective.  The sense of "shallow, reedy lake formed by the expansion of a river over a flat surface" was a Norfolk dialect word from the 1650s and broad had assumed its (broad) meaning as "the broad (wide) part" of anything by 1741.  The broad-brim hat was first described in the 1680s and the phrase “broad-brimmed” or “broad-brimmer” was eighteenth & nineteenth slang for a "Quaker male", so described because of their characteristic attire.  Broad-minded (in the sense of open-minded, liberal, less judgmental) was from the 1590s but this abstract mental sense of broad existed also in Old English as bradnes which meant both "breadth" & "liberality".

German broadsword, Waloon pattern, circa 1650.

Some swordsmiths insist the only true broadsword is one of the “basket-hilted swords”, characterized by a basket-shaped guard at the hilt which protects the hand, an elaboration of the quillons added to swords' cross-guards since the later Middle Ages.  What everybody else now calls the broadsword is a bladed weapon of the early modern era (sixteenth-seventeenth century), the construct in Old English being brad + swurd and, exclusively a battlefield weapon, they were always distinguished from rapiers and other dueling swords by their wide and often long & thick blades.

The term broadsheet was first used to describe a newspaper in 1705 when the distinguishing characteristic was being a “large sheet of paper printed on one side only”; by 1831 the usual phrase was “"a broadsheet newspaper" which in the twentieth century evolved into a distinction between the sober publications of record, reflection and reporting (The Times of London, The New York Times, The Manchester Guardian etc) and the popular tabloid press concerned with entertainment, sport and (increasingly) celebrity culture (the News of the World, The Sun, the New York News etc), based on the former being printed in larger formats, the latter half-sized (tabloid in printer’s jargon.  Even when some broadsheets switched to the smaller format, the phraseology remained and seemed to have survived even where some have abandoned print editions entirely, tabloid journalism still something simultaneously popular and disreputable.

Lindsay Lohan on Broadway, attending the production MJ The Musical, New York, July 2022.

Broadway (like High Street or Main Road) became a common street name apparently as early as circa 1300, applied obviously to particularly wide roads or streets, the allusive use for "New York’s theater district" dating from 1881.  The derivative “off broadway” (sometime with initial capitals) described smaller theatres in the New York City area, those with fewer than 300 seats, or a production in such a theater, usually away from the "Broadway" theater district and which operated under special rules from the theatrical unions which permitted productions to be mounted at much lower cost.  Use of off-broadway was first noted in 1953 as the volume of productions began greatly to expand in the buoyant post war economy and off-off & off-off-off (etc) broadway followed, the number of “offs” hinting progressively at the diminishing size of the budget, theatre and reputations of those associated with the production.

Broadcasting in the modern understanding of the word attained critical mass first in the 1920s as medium-wave AM radio became popular as the cost of vacuum tube radio transmitters and receivers fell to affordable levels.  Broadcasting was based on the idea in agriculture of broad-sowing, the casting of seeds over a broad area and was electronic communication on a one-to-many basis, as opposed to earlier radio, telephone, and telegraph models which were one/few to one/few.  Although the technology and the distribution platforms have since much evolved, broadcasting remains conceptually the same but the technological changes have greatly affected the behavior of audiences and much of what “broadcasters” now do is really stranded narrowcasting, the content designed not for the large-scale, even nation-wide catchments which once were available but aimed instead at specific demographics also served by the narrowcasters proper.  So changed is the environment that the terms are now less useful than when there were clear distinctions between them.

Dean Martin (1917-1995) and Frank Sinatra (1915-1998) carry "strike" signs demanding "Free Broads" as part of a gag during a show at the Sands' Copa Room, Las Vegas, 1960.

Although the "rat pack" persona was cultivated as something edgy and anti-establishment, their audience was politically conservative and, by the 1960s, part of an older generation which mostly didn't approve of young people marching with protest signs.  For a couple of old pros playing Las Vegas, this was an easy laugh and, by the standards of the time, self-deprecating.

The apparently etymologically baffling use of broad to describe a woman with some suggestion of promiscuity has attracted speculation.  It’s been suggested it might be an alteration of bride, especially through influence of the cognate German Braut, which was used in a similar sense (young woman, hussy) and there was the Middle High German brūt (concubine) but, especially given it came to be noted as a generalized slang term for women only circa 1911 in US use, etymologists prefer to link the development to the earlier slang “abroadwife”, used to mean both “woman who lives or travels without her husband" and “woman maintained in another place by a man and unknown to his wife”.  It’s now a dated form, used sometimes ironically but has often been misapplied with a suggestion of prostitution.  Because of these negative associations, and the increasing popularity of women's athletics, the name of the track and field “broad jump” (dating from 1863) was changed to “long jump”, beginning in the US in 1967 and soon adopted by athletics federations worldwide.

Some broadband is more broad than others: Indicative speed (January 2022) of internet connections in selected countries based on Ookla’s speedtest.net data, the informal standard for consumer-level speed testing.

The noun broadband actually dates from the 1620s in various senses from dressmaking to engineering.  It was used in electronics from 1956 with the meaning "a band having a wide range of frequencies" but the now most familiar use is as a descriptor of high-speed internet access.  Although the term broadband had since the 1970s been used in the technical language of the then embryonic industry of networking and distributed communications, it was little known by the public until the first standards were published for Asymmetric Digital Subscriber Line (ADSL), a consumer-level version of digital subscriber line (DSL) technology.  Ever since, it’s been used in the sense of “high-speed internet” but except for some local (and usually quickly outdated) legislated definitions, it’s never had a universal or even generally accepted meaning beyond the very early implementations when it was understood to imply a connection faster than the fastest service attainable by a single (8000/8000 baud; V.92; 56.0/48.0 kbit/s down/up) analogue modem connected with a conventional phone line (untwisted copper pair (UTP-Cat3)) which was usually accepted to be 56 kbit/s.  That soon was not a great deal of help and now, unless in a jurisdiction where use of the term broadband requires the maintenance of minimum up & download speeds, it’s really just an advertising term and unless a service so advertised turns out to be so slow that the use might be held to be deceptive or misleading, is often little more than “mere puffery”.  Hotels which in the 1990s and early 2000s spent a lot of money to install the hardware and software to support what was then “broadband” which they advertised as such soon, faced complaints as rapid advances in technology rendered their infrastructure quickly obsolescent and slow, the only solution sometimes to replace all the equipment although many instead took advantage of the profit-sharing industry which emerged, third-parties handling the installation and support, the hotel taking just a commission on total revenue.  Just as a precaution, some gave up on advertising “broadband” and instead offered the even more vague “hi-speed” which definitely meant nothing in particular.     

Contemporary art museum The Broad, Grand Avenue, Los Angeles.  The building's name is a reference not to the architecture but the philanthropists Eli (1933-2021) & Edythe (b 1936) Broad, who paid for it and provided the core of the collections exhibited.  It opened in September 2015, the architecture generally well-received.

Broadcloth (also as broad-cloth) was a "fine woolen cloth used in making men's garments" and dates from the early fifteenth century, the name derived from its width (usually 60 inches (1.5m)).  The phrase “broad daylight” emerged in the late fourteenth century and broad was first applied to speech and accents during the 1530s. To be “broad in the beam” is to be overweight, the term, predictably, applied almost exclusively to women.  To have “broad shoulders” suggests an ability to take criticism, or accept responsibility, an allusion to the figure of Atlas from Greek mythology who was condemned to forever carry on his shoulders the weight of the world.  In admiralty jargon, “broad on the beam” is a nautical bearing 90° to the heading of a vessel while “broad on the bow” is a bearing 45° to the heading of a vessel.  Broadacre farming or agriculture is a generalized reference to activities undertaken on large-scale open areas as opposed to smaller, fenced enclosures and can be used to describe either cropping or animal production.  The expression, like “mileage” or “tons” has survived metrification; “broadhectare” does exist as jargon in the field of residential land supply but is not widely used.

The Anglicans

Some time ago, the ever-entertaining Anglican Church, sort of formalized their three warring factions as the low and lazy, the broad and hazy and the high and crazy:

The Low and Lazy

Like the high churchers, the low lot still believe in God but, their time not absorbed plotting and scheming or running campaigns to stamp out gay clergy and opposing the ordination of women, they actually have time to pray, which they do, often.  The evangelical types come from among the low and don’t approve of fancy rituals, Romish ways or anything smelling of popery.  Instead, they like services where there’s clapping, dancing and what sounds like country & western music with sermons telling them it’s Godly to buy things like big TVs and surf-skis.

The Broad and Hazy

The broad church is more a club than a church, something like the Tory Party at prayer.  The parishioners will choose the church they (occasionally) attend on the same basis as their golf club, driving miles if need be to find a congregation acceptably free of racial and cultural DEI (diversity, equity and inclusion).  They’re interested not at all in theology or anything too abstract so sermons are preached to please the bourgeoisie.  The broad church stands for most things in general and nothing in particular, finding most disputes in Anglicanism baffling; they just can't see what all the fuss is about.

The High and Crazy

The high church has clergy who love dressing up like The Spice Girls, burning incense and chanting the medieval liturgy in Latin.  They disapprove of about everything that’s happened since the 1662 edition of the Book of Common Prayer and believe there’d be less sin were there still burnings at the stake.  Most high church clergy wish Pope Pius IX was still running the show from Rome and some act as though he’s still there.

Of money

All will be pleased to know there is narrow money and broad money.  Narrow money includes notes and coins in circulation and bank deposits (if available to conduct transactions).  Broad money includes all narrow money and other liquid assets that can be used to buy goods and services.  Collectively, the money circulating in an economy is called money supply, movements in which are tracked and sometimes manipulated governments and central banks.  There are economists who insist the distinction between narrow and broad money is mainly theoretical and they have a point in that the relationship between national wealth and (1) physical notes and coins and (2) the notion of asset backing (such as a gold standard) are both now somewhat abstract and the money supply can now be expanded without the effects of the physical economy which would once have been inevitable but the measures are still of great interest, as is the strange fact that the actual definitions of money used by governments and central banks in major trading economies vary from country to country.

The United States

The US Federal Reserve provides only two main measures of money M1 (narrow) and M2 (broad).  M1 consists of currency in circulation, travelers’ checks of nonbank issuers, demand deposits, and other checkable deposits (eg negotiable order of withdrawal accounts at depository institutions).  M2 is M1 plus savings deposits and money market deposit accounts, time deposit accounts below $100,000, and balances in retail money market mutual funds.  The interesting thing about the US is that the Fed’s M1 & M2 excludes a lot of what most economists regards as money but it’s very difficult to estimate how much, all agreeing only that it’s big number.

The Euro Zone

The European Central Bank (ECB) publishes M1, M2 & M3, each measure becoming progressively broader.  M1 includes currency in circulation plus overnight deposits.  M2 is M1 plus deposits redeemable at notice of up to three months and deposits with an agreed maturity of up to two years.  M3 is M2 plus repurchase agreements, money market fund shares, money market paper, and debt securities issued with a maturity of fewer than two years.

The United Kingdom

The Bank of England uses four measures of money, M0, M2, M4, and M3H, M0 the narrowest, M4 the broadest.  M0 is currency in circulation plus bankers’ deposits held by the Bank of England.  M2 is M0 plus deposits held in retail banks.  M4 is M2 plus certificates of deposits, and wholesale bank and building society deposits.  The mysterious M3H is a parity device which exists to allow the Bank of England to align their reporting for statistical purposes with the money supply measures published by the ECB and this is M4 plus foreign currency deposits in banks and building societies.

Australia

The Reserve Bank of Australia used to use M1, M2 & M3 but now publishes M1, M3 & Broad Money.  M1 is currency in circulation plus bank current deposits from private non-bank entities.  M3 is M1 plus other deposits from building societies and credit unions with banks.  Broad Money is M3 plus borrowings from the private sector by non-bank depository corporations excluding holdings of currency and deposits of non-bank depository corporations.

Japan

The Bank of Japan is a monetary classicist and publishes M1, M2, and M3, where M1 is the narrowest and M3 the broadest.  M1 includes currency in circulation plus deposits.  M2 is M1, plus certificates of deposit.  M3 is M2 plus savings and deposits at financial institutions and post offices.

For countries which run modern economies with convertible currencies and a high degree of interoperability and (usually), little (at least by historic standards) in the way of exchange controls, it may seem strange that the definitions of money vary to the extent they do, the only feature of commonality really that each maintains a measurable concept of narrow and broad money.  Only a few central banks, such as the Bank of England, include a device with which those interested in such things can align the numbers more accurately to compare one with another; it’s almost as if the central banks and governments like some vagueness in the system.

In theory there need not be a direct relationship between the volume of the money supply and its value expressed as purchasing power but the two values do typically move in the same direction.  German children during the hyper-inflation experienced in the Weimar Republic in 1923 would play with literally trillions, using bundles of currency with a face value in the billions (of the then current Papiermark) as toy building blocks.  Although the purposes for which it was originally set up have long been overtaken by events, the Bank for International Settlements (BIS) still exists (which is interesting in itself) and although the BIS organizes interesting conferences and seminars and publish a wealth of meaty material, it’d be an interesting task for them to devise a standardized money supply model which could augment (ie not replace) the machinery to which the central banks would no doubt cling.  Even if restricted to members of the Organization of Economic Cooperation and Development (OECD), it would be an interesting data-set to align with other charts but the chances of this seem remote.  It might frighten the horses.

Friday, April 22, 2022

Interpolate & Extrapolate

Interpolate (pronounced in-tur-puh-leyt)

(1) To introduce (something additional or extraneous) between other things or parts; interject; interpose; intercalate; to make additions, interruptions, or insertions.

(2) In mathematics, to estimate (a value of a function) between the values already known or determined.

(3) To alter a text by the insertion of new matter (with a long history of being applied especially if done deceptively or without authorization but technically a neutral term and can be used either way).

(4) To insert (additional or spurious material) in this manner.

1605–1615: From the Latin interpolātus, past participle of interpolātus & interpolāre (to make new, refurbish, touch up; to give a new appearance to), the construct being inter- (between, among, together) + -polā- (verb stem (akin to polīre (to smooth or polish) + -tus (the past participle suffix) from polare, from the primitive Indo-European root pel- (to thrust, strike, drive), the connecting notion being "to full cloth".  The sense evolved in Latin from the neutral "refurbish" to the slightly more loaded "alter appearance of" to the actually accusative "falsify” (especially or specifically by adding new material".  By the early fifteenth century Middle English had gained interpolen in a similar sense and by the 1650s also interpolator, from the Late Latin interpolator (one who corrupts or spoils), agent noun from past participle stem of Latin interpolāre.  The noun interpolation (that which is interpolated) dates from the 1670s and appears to have evolved both from the seventeenth century French interpolation and directly from the Latin interpolationem (nominative interpolatio) from the past participle stem of interpolāre.  Interpolate, interpolated & interpolating are verbs, interpolater (or interpolator) & interpolation are nouns, interpolable, interpolatory, interpolative are adjectives and interpolatively is an adverb.

Extrapolate (pronounced ik-strap-uh-leyt)

(1) To infer (an unknown) from something that is known; an evidence-based conjecture.

(2) In statistics, to estimate (the value of a variable) outside the tabulated or observed range.

(3) In mathematics, to estimate (a function that is known over a range of values of its independent variable) to values outside the known range.

(4) To perform extrapolation.

1830s: The construct was extra- + -polate (extracted and borrowed from interpolate).  The verb extrapolate in the sense of “make an approximate calculation by inferring unknown values from trends in the known data" became popular among astronomers, statisticians, economists & mathematicians after appearing in an 1862 Harvard Observatory account of Comet Donati (Donati's Comet (C/1858 L1 & 1858 VI)) in 1858).  In contemporary accounts, it was said to have been a word used since the 1830s by English mathematician and astronomer Sir George Airy (1801-1892).  Extrapolation (an approximate calculation made by inferring unknown values from trends in the known data) dates from 1867 and was the noun of action from extrapolate by analogy with the long-established interpolation although the original sense was "an inserting of intermediate terms in a mathematical series", the transferred sense of "drawing of a conclusion about the future based on present tendencies" adopted since 1889.  Extrapolate, extrapolated & extrapolating are verbs, extrapolater (or extrapolator) & extrapolation are nous, extrapolable, extrapolatory, extrapolative are adjectives and extrapolatively is an adverb.

Extrapolation and Interpolation

The common root of the words is the Latin verb (polīre) meaning “to polish” which in this context means “adding finish” to a data-set by adding what’s missing but the prefix is most useful in distinguishing between the two, inter- meaning “between” or “among,” and extra-, “outside” or “beyond”.  The two words look similar and at first glance it’d be not unreasonable to assume they might be antonyms but, although related in use and tangled in history, they are used in different ways and, one highly nuanced and the other sometimes applied correctly but inducing the drawing of erroneous or at least misleading conclusions.  Interpolation refers to inserting something between other things, while extrapolation is the act of drawing conclusions about something unknown based on what is known.  In mathematics, the meanings are uncontroversial in that interpolation is the process of determining an unknown value within a sequence based on other points in that set, while extrapolation is the process of determining an unknown value outside of a set based on the existing data (often expressed as a “curve”).  Interpolation is a commonly used tool of mathematicians, statisticians and others in the data-based sciences where it’s necessary to determine a function’s value based on the value of other points, an unknown value within the sequence is determined based on what else is in the sequence.

Interpolation, used beyond mathematics can be a loaded word because it’s the act of introducing something (additional or extraneous) between other parts, usually in text or musical notation and thus the technical equivalent of “insert” or (sometimes) “interject or interpose”.  Interpolation can thus be a merely neutral description but because of the history of the word (in Latin it evolved from the neutral "refurbish" to the slightly more loaded "alter appearance of" to the actually accusative "falsify” (especially or specifically by adding new material"), can imply that what has been inserted is spurious, false, misleading or done with some other nefarious purpose.  It’s thus a word which needs to be used with caution lest implications be drawn where no inference was intended.

A big word with lots of syllables, interpolate may be unfamiliar to many and that’s maybe why sometimes it’s been used apparently in an attempt to impart some sense of gravitas or perhaps disguise what’s really happening.  In pop music, sampling, the interpolation of other people’s music into one’s own is now probably a sub-genre and it’s well understood although, despite the involvement of courts and copyright lawyers, the distinctions between sampling, interpretation and actual appropriation although well-trimmed, remain frayed at the margins and all three can be interpolated.  One derided as a form of plagiarism, sampling seems to have gained respectability, at least among those who practice the art, the critical legal device apparently being to sample by using a fragment from a previously recorded song, but re-recording rather than directly copying the original.  The origin of the practice appears to be as the work-around for when the copyright holder refuses to license the original for sampling purposes.  Use in this way, only a publisher’s permission is required although in some common-law jurisdictions, the original can be subject to a compulsory licensing regime.

Extrapolation is related to deduction, an act of drawing a conclusion about something unknown based on what is known so the verb extrapolate is often used synonymously with infer and deduce.  However, in mathematics, while the act of interpolation involves a closed data set with defined low and high values, extrapolation involves estimating the value of a variable or function outside an observed range so it can be necessary to understand the context (social, economic etc) of the numbers being used in the exercise.  A Roll-Royce dealership which has a good month and sells ten cars should probably not from that data-set extrapolate that in the year ahead they will sell 120; other factors need to be considered beyond the simple math.

Xanax (Alprazolam), a fast-acting benzodiazepine.  It is marketed as anti-anxiety medication.

Lindsay Lohan released the track Xanax in 2019.  With a contribution from Finnish pop star Alma (Alma-Sofia Miettinen; b 1996), the accompanying music video was said to be “a compilation of vignettes of life”, Xanax reported as being inspired by Ms Lohan’s “personal life, including an ex-boyfriend and toxic friends”.  Structurally, Xanax was quoted as being based around "an interpolation ofBetter Off Alone, by Dutch Eurodance-pop collective Alice Deejay, slowed to a Xanax-appropriate tempo.


Lindsay Lohan risked going straight to Hell by creating a promotional meme featuring Pope Francis (b 1936; Roman Catholic Pope since 2013).  Cryptically captioned Blessed Be The Fruit, it included an image of the art-work used for her debut album Speak (2004).  Given the problems he's expected to manage, solve or conceal (depending on the circumstances), most would forgive the pope if he popped the odd Xanax.


The original photograph (top left) was taken in 2013 during a mass conducted in the Catedral Basílica do Santuário Nacional de Nossa Senhora Aparecida (Cathedral Basilica of the National Shrine of Our Lady Aparecida) in Aparecida, Brazil.  His Holiness was at the time administering communion.  It has since proved a popular photograph for meme-makers interpolating optical discs.

Xanax by Lindsay Lohan

I don't like the parties in LA, I go home
In a bad mood, pass out, wake up alone
Just to do it all over again, oh
Looking for you

Only one reason I came here
Too many people, I can't hear
Damn, I got here at ten
Now it's 4 AM

I can't be in this club
It's too crowded and I'm fucked
Ain't nobody here for love
Ain't nobody care about us
I got social anxiety, but you're like Xanax to me, yeah
Social anxiety, when you kiss me, I can't breathe
No, I can't be in this club
It's too crowded and I'm fucked
Ain't nobody here for love
Ain't nobody care 'bout us
 
I got social anxiety, but you're like Xanax to me, yeah
Social anxiety, when you kiss me, I can't breathe, yeah
 
But you're like Xanax to me
When you kiss me, I can't breathe
 
I try to stay away from you, but you get me high
Only person in this town that I like
Guess I can take one more trip for the night
Just for the night
 
Only one reason I came here
Too many people, I can't hear
Damn, I got here at ten
Now it's 4 AM
 
I can't be in this club
It's too crowded and I'm fucked
Ain't nobody here for love
Ain't nobody care about us
I got social anxiety, but you're like Xanax to me, yeah
Social anxiety, when you kiss me, I can't breathe
No, I can't be in this club
It's too crowded and I'm fucked
Ain't nobody here for love
Ain't nobody care 'bout us
 
I got social anxiety, but you're like Xanax to me, yeah
Social anxiety, when you kiss me, I can't breathe, yeah
 
But you're like Xanax to me
When you kiss me, I can't breathe
 
But you're like Xanax to me
When you kiss me, I can't breathe

Xanax lyrics Universal © Music Publishing Group