Model Mathematical Yenjabulo

imodeli Mathematical injabulo.

Ngenhlanhla konke, khulula,

futhi kungaphumi muntu kude wacasula!

A. noB Strugatsky.

"Picnic Roadside"

ISINGENISO.

Umbhali lesi sihloko neze luziveza Ukunilobela kanjani umsebenzi olunzulu enye yezinto ezinzima kakhulu futhi imibuzo eminingi yasendulo ukuthi luthathe esintwini. Ngaphezu kwalokho, umsunguli ayinankinga eliqinisekile lokulungisiswa methodological for ukusetshenziswa lezo zigaba obucayi ngokomzwelo like "Injabulo" futhi "Intaba" wezibalo ezomile. Kodwa, kubonakala sengathi inhlanganisela lengubo kumbhali lwezigaba hhayi eduze enjalo (isimo esingokomzwelo yomuntu kanye ne-mathematics) netiphetfo ukwazi ukuthi kungenziwa ethathwe inhlanganisela enjalo.

1. 1. Imigomo nezincazelo.

Ukuze kwakhiwe yokucabanga eminye, thina ukwethula imigomo embalwa ngokuvamile isikhathi eside futhi laziwa kabanzi. Imigomo nge ngezinga eliphezulu ukuzikhethela ezithathwe incazelo lombhali, naphezu ezihlukahlukene incazelo yabo ahlukahlukene zenhlalo-zefilosofi inkomba izincwadi nezihloko (kusukela izichazamazwi we izimiso zokuhle kaMarx-Leninist yemisebenzi wenkolo nefilosofi). Ngakho, sethula imigomo emithathu.

1. Mood - isimo esingokomzwelo umuntu ngesikhathi esithile. Lo mqondo ngokuqinisekile eyaziwa kahle kunoma yimuphi umuntu futhi ayidingi incazelo eyengeziwe.
2. INJABULO - isimo besikhashana ukuphakamisa ngokomzwelo, eduze kwesasa. Lesi simo kungadalwa yezizathu ezihlukahlukene, kodwa, kungakhathaliseki ukuthi iyini imbangela yako, kubonakala physiologically cishe ngamunye ethize okufanayo. abanobuntu obuhlukahlukene ukubonakaliswa bokuphila injabulo kungahluka kancane.
3. MOUNTAIN - isimo besikhashana ngokomzwelo yokwehla, eduze ukucindezeleka. Izizathu nesenzakalo nakho kungaba ezahlukene. Kuzibonakalisa abantu efanayo futhi ukubonakaliswa okuphambene injabulo.

Sicela uqaphele ukuthi isimo, injabulo nosizi kulo mongo kukhona isimo ngokushesha, leso, isikhathi obuhlukahlukene, futhi engenalutho olubi enibaziyo incazelo yaleli imiqondo idatha izincwadi eziphawulwe ngenhla okunzima ukukhuluma ngalolu daba, lapho ngokuvamile kuchazwa ngokuthi isimo eside ( "Labor Injabulo "" Injabulo okholweni, 'njll).

1. 2. ukumodeliswa Mathematical.

Thina ukwakha igrafu kwemizwelo ngabanye zokucabangela ngokuhamba kwesikhathi. Ngokucaca, isikhathi esikalini T iphuzu imicimbi abstract ezithinta isimo, njengokuthi: Umholi udumo (P), ukulahlekelwa yinoma yimuphi into eyigugu, noma imali (V), sizohlangana othandekayo (B), ukugula kothandekayo (B) nokunye. n. Lokucabanga lokulinganisa isikali kwemizwelo N: kwemizwelo ezingeni isilinganiso 1, esiphezulu ezingeni ofinyelelekayo kwemizwa kuyinto 2, ubuncane ezingeni ofinyelelekayo kwemizwa - 0.

Ake uchaze lo isikhathi esincishisiwe. Ekuqaleni kwemizwa izixhumanisi T ubuntu uku kokungathathi hlangothi (N = 1). Ngemva okuvela kuyo umcimbi P (badumise ikhanda), N uqala ukwandisa futhi ifinyelela Inani ezithile N> 1. Ngemva kwesikhathi esithile, umcimbi omusha mina (ukulahlekelwa into eyigugu) kuholela isimo sokucindezeleka kunani N <1. Lo mcimbi livela (umhlangano ozithandayo) futhi sishintsha ukubaluleka N futhi okwenza kube kukhulu kune 1. wesine umcimbi B (isifo) futhi siba sibi isimo kumanani N <1. Ngemva kwesikhathi esithile, kungenzeka lokhu okulandelayo, ayiboniswa kule igrafu, umcimbi ungase waphinda ukushintsha ukubaluleka N, nokunye kuyo yonke impilo yomuntu. Kumele kuqashelwe ukuthi lezi zenzakalo iboniswa kugrafu ngesimo futhi kuphela luhlose ukuveza izizathu ushintsho kwemizwelo.

Ngakho, siba nesimo umsebenzi ezithile isimo kusukela esikhathini:

N = F (T),

uchaza isimo e iphuzu elithile ngesikhathi, kuye ngezimo lapho umuntu uthola.

Ake sizame ukuthatha kule function, esuselwe ngenhlonipho ezithile. Thina ukuthola elinye umsebenzi:

S = N '(T) = F' (T)

Lowo mdwebo igrafu lo msebenzi ku isizinda izenzakalo isicelo igrafu N = F (T) futhi zama ukunikeza S ipharamitha incazelo ngokomzimba.

Eqaphela ukuthi incazelo ezingokomzimba isikhathi esuselwe lokuqala yimuphi umsebenzi ngesilinganiso ushintsho lomsebenzi, singaphetha ngokuthi S - ijubane izinguquko kwemizwelo.

Ekhuluma ngokuhlangenwe nakho kwakhe wombhali kanye okusekelwe eside ekubonayo sabantu ayephila nabo, alinge baphethe ngokuthi kuyinto e iziqongo kugrafu S = F '(T) kuboniswa isimo kuchazwe yithi njengezikhonzi injabulo, kanye minima lomsebenzi liboniswa isimo usizi. Lesi siphetho kungase kubonakale zokucabangela, kodwa ukhulume umuzwa wakho zokuphila: kungelona izikhathi imizwa yethu ishintshashintsha ohlangothini izithelo zawo uhlangabezana nesimo eduze le ncazelo contact injabulo futhi, kunalokho, nokungawuvivinyi ngokwanele kwemizwelo - isimo wabonisa yithi njengoba entabeni? Futhi ingabe ushintsho isimo akusona isimo ezidingekayo, kube yikwembulwa mizwa?

Ngakho, singaphetha ngokuthi injabulo nosizi kukhona nemisebenzi isikhathi esuselwe lokuqala kwemizwelo.

Field abakuzuzile S umsebenzi, zero elele engenhla ichaza isimo injabulo, futhi Ngakolunye uhlangothi, amagugu endaweni S ngezansi zero, chaza isimo usizi.

Umbhali kalula uyavuma ukuthi iziphetho zakhe impikiswano futhi angase abe uchungechunge amaphuzu akhe kukhona ukungqubuzana okunengqondo. Nokho, benza umbuthano ezincane umbono yokuvota kubantu ojwayelene nabo (Nokho, it is hhayi ngokufaka isicelo yikuphi ukumelela) ebonisa ukuthi iningi labantu ukuthi uzizwa ngendlela efanayo futhi kuvumelana nencazelo engenhla umqondo.

1. 3. EZINYE UMPHUMELA.

Kulokhu okungenhla singakwazi ngokuthini nemiphumela eziningana.

1. Injabulo usizi ayikwazi ngokwanele kungapheli, ngoba sithola kubo kuphela izikhathi ukuguquguquka kwemizwa, inqubo ukuthi uhlale endaweni yokuqala - ezilinganiselwe, futhi okwesibili, njengoba umthetho, kufushane kakhulu. Umzamo ukwethula "injabulo yaphakade" ayixhumene tiyori zokucathula imisebenzi njengoba kuleli cala zahlelwa umsebenzi ivame infinity, okuyinto engenakwenzeka nge amaphuzu bokuphila nezingokwengqondo umbono.
2. Injabulo usizi, namandla ayanda izinga izinguquko kwemizwelo. Uma ucabangela esitho kwemizwelo amagugu ngokuphelele (e-agumenti namagrafu yethu kwemizwelo kuhluka amayunithi 0 kuya 2), ayanda izinga loshintsho, omfushane isikhawu yoshintsho. Ngakho-ke, injabulo nosizi namandla zihlale edlula ngokushesha kuka mafomu buthaka of nokubonakaliswa.
3. Injabulo usizi imiqondo umehluko, okusho akuncikile inani eliphelele kwemizwelo. Uma sakha igrafu ezimbili ezifanayo N = F (T): owokuqala nge ushintsho ngokuphelele ukubaluleka kwemizwelo kusuka 0 kuya 1, kanye neminye - ne ushintsho undiza kusukela 1 kuya kwelesi 2, bese umsebenzi S = N '(T) ezazikhishwa kula amagrafu ezimbili kuyoba okufanayo.

It lulandela Político-kwezomnotho isiphetho esezingeni injabulo ayixhomekile inhlalakahle yabo. Ngokwesibonelo, isiboshwa ekamu ithola okufanayo ephezulu grade injabulo ekhishwe kuye iphakethe likagwayi, okuyinto ebhekene oligarch othenga isikebhe entsha ngoba imizwa yethu ishintshashintsha baye kwenzekani mayelana esilinganayo. Ukuze leli phuzu, lokho kungase kubangele injabulo ngobuqotho futhi okukhulu ezigidi zabantu by Nokho ngokuwina ithimba lezemidlalo, ngamunye wabo, ngeke kuthinte impahla yabo inhlalakahle kanye nempilo yakho, noma ukudabuka okuqotho ezigidi zabantu ngesikhathi kushona umashiqela yezwe labo (khumbula umngcwabo Stalin, Kim Chen Ira, nokunye okunjalo). Ngaphezu kwalokho, kuthathwa ngokuthi isiphetho esifanayo mayelana lizinga enjabulweni kungakhathaliseki ukuthi zicebile bantu kudala. Njengoba isibonelo, sikunikeza ubufakazi saga IsiZulu: "Ukuze wenze abantu bajabule , Thatha kude kuye konke, bese ibuyise nengxenye."

Lapha umbhali has ukwenza amazwi amancane: kukude imibono kobushiqela umbono wakhe zezombusazwe sebekubeke uyayilahla i wokusetshenziswa okusebenzayo nomkhiqizo kuzinqubomgomo esisebenzayo ukuze kuzuzwe ngokushesha injabulo abantu ngokunciphisa izinga labo lokuphila njengoba. izindlela ezinjalo emlandweni wesintu yasetshenziswa kaningi, futhi kwaziwa kahle ukuthi kuka ngaso sonke isikhathi sesiphelile.

1. Ukuze ngokwanele eside phakathi nokuphila yenani umuntu S umsebenzi ebalulekile isikhathi ivame ukuba 0. Kulesi sibalo kuba endaweni Imininingwane igudle igrafu S and T-eksisi: Umumo square ku T-eksisi (isamba injabulo) lilingana endaweni ngezansi izibalo-eksisi T (inani eliphelele usizi).

Ngamanye amazwi, ngoba umuntu ngamunye ukuphila babe isamba alinganayo injabulo nokucindezeleka, futhi lokhu isilinganiso akuxhomekile yimuphi iziphi izici zangaphandle.

1. 5. ISIPHETHO

Zifakwe kulesi sihloko indlela ka izingabunjalo kwamazwe ngabanye ngokomzwelo inikezwe ngamabomu kuphela ingxenye encane ukusetshenziswa kungenzeka. Umfundi ukwazi ingakwazi ukuqhubeka nocwaningo kule ndawo. Ngokwesibonelo, umlobi Kungaba ezithakazelisayo ukwethula ukucabanga eside KUYALUTHA futhi sihlaziye ukuhlanganisa yayo nge isimo, injabulo nosizi noma ukucabanga ukuthi kungenzeka iqhakambisa igrafu yokufakelwa N = F (T) ukufeza isimo ukhululekile kakhulu ngabanye enkathini ende yesikhathi. Nokho, lapho ebhalela lesi sihloko umsebenzi kuphela kwaba ukulethe abafundi ukuthi kungenzeka ukusetshenziswa amathuluzi zezibalo sihlaziye sphere ngokomzwelo lomuntu.

Kulesi ukucabanga sihloko netiphetfo neze itleyimu iqiniso nganoma iyiphi Ngokwesibonelo. Ngaphezu kwalokho, umsunguli engenaso isiqiniseko ngokunemba ukucabanga kwabo futhi ngeke yini ubonge ngokuba yikuphi ukugxekwa ayethule. Futhi, kusengaphambili, umlobi kuthatha ukugxekwa kungenzeka uyahlambalaza badosiphambili bekolo nezinhlangano. Ngo balungisiswe athi ukuthi akukhona kuhloswe embuzweni imizwa esingokwenkolo sabantu futhi ezicini zonke izinkolo.