Kale, kukambirana kunachitika pakati pa ine ndi mnzanga wapamtima pomwe mawu otsatirawa adamveka:
- Chiwerengero cha okonza mapulogalamu chidzakula nthawi zonse - chifukwa chiwerengero cha code chikukula, ndipo omanga ambiri amafunikira nthawi zonse kuti awathandize.
- Koma codeyo ikukalamba, zina sizikuthandizidwanso. Ndizothekanso kuti pali mtundu wina wa mgwirizano.
Powakumbukira patatha masiku angapo, ndinadzifunsa ngati kusunga kachidindo, komwe kumafunikira zowonjezera zowonjezera pakapita nthawi, kungathe kulepheretsa chitukuko cha ntchito zatsopano, kapena kungafunike kuwonjezeka kopanda malire kwa okonza mapulogalamu? Kusanthula masamu ndi ma equation osiyana adathandizira kuwunika moyenera kudalira kuchuluka kwa chithandizo pa chitukuko ndikupeza mayankho a mafunso.
Funso limodzi. Kodi kuthandizira "kudya" zothandizira zonse zachitukuko?
Ganizirani za gulu la opanga mapulogalamu momwe chiwerengero cha otenga nawo mbali chimakhala chosasinthika. Gawani nthawi yawo yogwira ntchito () amagwiritsidwa ntchito popanga code yatsopano, ndi gawo lotsala la nthawi amapita ku chithandizo. M'malingaliro achitsanzocho, timaganiza kuti mtundu woyamba wantchito umangowonjezera kuchuluka kwa ma code, ndipo chachiwiri cholinga chake ndikusintha (kukonza zolakwika) ndipo sichikhudza kwambiri kuchuluka kwa ma code.
Tiyeni tisonyeze chiwerengero chonse cha code cholembedwa mpaka nthawi imeneyo . Kungoganiza kuti liwiro lolemba ndi lolingana , timapeza:
Ndikwachilengedwe kuganiza kuti ndalama zogwirira ntchito posunga malamulowo zimayenderana ndi kuchuluka kwake:
kapena
Kuchokera kuti
Timapeza kusiyana kosiyana komwe kungaphatikizidwe mosavuta. Ngati pa nthawi yoyamba kuchuluka kwa code ndi zero, ndiye
pa ntchito ndi . Ndipo izi zikutanthauza kuchepetsedwa pang'onopang'ono pakapita nthawi pakupanga magwiridwe antchito atsopano mpaka zero komanso kusamutsa zinthu zonse kuti zithandizire.
Komabe, ngati pa nthawiyi code imakhala yosatha ndipo imasiya kuthandizidwa, ndiye kuchuluka kwa code yomwe imafuna chithandizo panthawi ndi wofanana kale ndiye
Π° ndi yankho la equation yosiyana ndi mkangano wochedwa [1]:
Yankho la equation yotere limatsimikiziridwa mwapadera pofotokoza zamtengo wapatali "nthawi isanayambike" . Popeza code inali isanalembedwe isanafike mphindi yoyamba mu nthawi, ife pa .
Tiyeni tione zitsanzo zingapo. Tidzayesa nthawi muzaka, ndi kuchuluka kwa code mu mizere masauzande. Ndiye kwa mfundo za dongosolo la makumi ndizovomerezeka, tidzatenga 50 ndi 100. Ndiko kuti, m'chaka gulu lachitukuko lidzalemba mizere makumi asanu ndi limodzi zikwi zana limodzi, motero. Za zovomerezeka zitha kukhala: , , . Izi zikutanthauza kuti gulu lachitukuko likhoza kuthandizira kuchuluka kwa ma code omwe amalemba chaka, kaya ndi kotala, theka, kapena nthawi zonse. Monga avareji ya moyo wa code, tidzakhazikitsa izi: 1, 2 ndi 4 zaka. Kuthetsa equation ndi manambala, timapeza zitsanzo zamakhalidwe a ntchitoyi kwa mitundu ina ya parameter .
Makhalidwe a ntchito monga mibadwo code, izo zasintha. Ntchitoyo sikhalanso yonyansa, koma kusinthasintha "kumakhala bata" pakapita nthawi, ndipo pali chizolowezi ku mtengo wokhazikika. Ma grafu akuwonetsa: zambiri , ΠΈ , ndiko kuti, pang'onopang'ono zaka za code, kupititsa patsogolo kachidindo katsopano komanso kutsika kwa kachidindo, zinthu zochepa zidzasiyidwa kuti pakhale ntchito zatsopano. Panali chikhumbo chopereka chitsanzo chimodzi chomwe "kugwedezeka" pafupi ndi ziro. Koma izi zimafuna kusankhidwa kwa zizindikiro zosauka kwambiri za chitukuko ndi kachidindo komwe sikukalamba kwa nthawi yaitali. Ngakhale m'munsi kumanzere kwa graph, pali zinthu zambiri zomwe zimagwira ntchito zatsopano. Choncho, yankho lolondola ku funso loyamba m'malo motere: theoretically - inde, n'zotheka; kwenikweni - nkomwe.
Mafunso omwe sanayankhidwe:
- Ndizoona zimenezo zimatengera malire kwa onse ? Ngati si aliyense, ndiye kuti?
- Ngati malire alipo, mtengo wake umadalira bwanji ?
Funso lachiwiri. Kodi kukonza kachidindo kungayambitse kukula kopanda malire kwa okonza mapulogalamu?
Tiyeni tisonyeze chiwerengero cha opanga mapulogalamu omwe akugwira nawo ntchito yopanga code yatsopano. Monga pamwamba, - kuchuluka kwa code yomwe yalembedwa mpaka nthawi . Kenako
Khalani otanganidwa kuthandizira ma code opanga mapulogalamu. Poganizira za ukalamba,
Kuchokera kuti
ngati , ndiye
Choncho, yankho la funso lachiwiri ndi loipa: ngati chiwerengero cha opanga ma code atsopano ndi ochepa, ndiye kuti muzochitika za ukalamba, chithandizo sichingapangitse kuwonjezeka kopanda malire kwa okonza mapulogalamu.
Pomaliza
Mitundu yomwe imaganiziridwa ndi masamu "ofewa" [2]. Iwo ndi ophweka kwambiri. Komabe, kudalira kwa zotsatira zofananira pazigawo za parameter zimayenderana ndi zomwe zimayembekezeredwa pamakina enieni, izi zimalankhula mokomera kukwanira kwamitundu ndi kulondola kokwanira kuti mupeze kuyerekezera kwapamwamba.
Zolemba
1. Elsgolts L.E., Norkin S.B. Chiyambi cha chiphunzitso cha ma equation osiyana ndi mtsutso wopatuka. Moscow. Publishing nyumba "Sayansi". 1971.
2. Arnold V.I. "Zovuta" ndi "zofewa" masamu. Moscow. Nyumba yosindikizira MCNMO. 2004.
Source: www.habr.com