2024年4月3日发(作者：高速路免费的节假日)

Newwindsblowinginappliedmathematics

Howwouldyoucompletethissentence:””

Everygenerationofwritershasfilledinthedotsnotonlyfortheirownage,but

1947,rotethathiswas“theageof

anxiety”.Around1970,songwriters,pullingonastrologicalbeliefs,calledit“Theage

ofAquarius,”cently,psychiatristDaniel

Freemanwrotethatthisis“TheageofParanoia”withdistrustandopticalsurveillance

eraccordingtoourexperiences.

Iwouldfillinthedotsbysayingthatthisistheageofcomputers,ormore

sharply,puteristheprimeanddriving

mechanismoftheageandinallcomputerapplicationsthereresidessomesortof

agewhenappliedmathematizationsaffectusall,

forgood,forbad,forsomewhereinbetween,andtheseeffectsmaynotdevelopor

becomeapparentforsomewhile.

Mathematicsisnowsouniversallyemployedthatitsteachingcannotbe

/CAM(computeraideddesign/manufacture)is

edentistrydevelopmentrequireengineeringtalent?Should

itstechniquesbetaughtinanengineeringdepartment?Onecantrulywonderwhat

coursesshouldcomprisethebasictrainingfortheappliedmathematicianorcomputer

scientist.

Ihavespentagoodfractionofmyprofessionallifeinwhatmightbetermed“a

traditionaldepartmentofappliedmathematics”.by“traditional”Imeanadepartment

thatstressesthemathematicsthatmodelsphysicalphenomena,ortoalesserextent,

d“traditional”calalsobe

ex

departmentatBrownUniversity,forexample,therearegraduatecoursesin

biophysicalmodels,genomics,operationsresearch,statisticalinference,dynamical

systems,presentsachangefromahalfcenturyago,whenmy

departmentwasarenownedresearchcenterforsolidmechanics:elasticity,plasticity,

rheology,etc.

Theword“traditional”canalsobeexplicatedbythewell-knownparadigmatics

sequence:

Description-prediction-comparison-retinkeringthedescription.

Butthereisnowanothertypeofappliedmathematicswhoseparadigmis:

Prescription-adoption-surveillanceandsocietalevaluation-represcription.

Hereareafewsimpleexamplesofprescriptivemathematicsthatextendfrom

singlenumberstoexceedinglycomplexsystems:

Thespeedlimitonahighway.

Themandatoryretirementageforparticularoccupations.

Thescoringsystemforfootball.

Analgorithmfordeterminingthe“peckingorder”ofcolleges.

Theold”pointsystem”fordeterminingthequalityofamortgageapplication.

ThepresidentialelectoralsystemintheUSA

Anationaltaxsystem

Nationalandinternationalfinancialsystem.

Thislistcouldgoonandon.

Societymayadoptedamathematicalprescription,butitsacceptanceismore

,Newtonianmechanics.

Thereisyetanotherkindofmathematicsbyprescriptionthatderivesfrom

humanbehaviorandthatistheproductofalargecadreofprofessionalswhomthe

journalistandinvestigativereporterStephenBakerhatermed“theNumerati”.who

are“theNumerati”?Asecretsociety?No,theyaremathematicians,computer

scientists,engineers,physicists,economists,biologists,psychologists,linguistsand

,anyonewhoconsciouslydevisesorusesalgorithmsthatextract

patternsfromthebehaviorofindividuals,individualorcollective,whoseusesthen

edly,thisisrathervague,butis

willclarityabitasIgoonandmentionafewofthemanyexamplesthatBakergives:

AnameidentifyingcompanyusinglinguisticanalysiscantellyouwhetherMr.

,.

Acompanykeepsshoppingandlifestyledataofsome200millionAmericans.

Thecompanybuysjustabouteverybitofdataaboutusthatiscold,andthensells

selectionsofit.

Anothercompanyquietlyamassescourtrulings,taxandrealestatetransactions,

birthanddeathnoticessoastoenhance,amongotherthings,lawandchildsupport

enforcement,publicsafetyandhealthcare.

Yetanothercompanydividestheelectorateinto10groupswithcharacteristic

votingpatternssoastohelppoliticalpartiesgettheswingvotersontotheir

bandwagon.

Someofthesecompilationandanalyses,evennow,goonsilentlyand

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