Imwe nguva yapfuura, nhaurirano yakaitika pakati pangu neshamwari yangu yepamoyo apo mazwi anotevera akanzwika:
- Huwandu hwevagadziri vanozogara vachikura - nekuti huwandu hwekodhi huri kukura, uye vagadziri vakawanda vanogara vachidiwa kuti vatsigire.
- Asi iyo kodhi iri kuchembera, imwe yacho haichatsigirwi. Zvinotokwanisika kuti pane imwe mhando yekuenzanisa.
Ndichivarangarira mazuva mashoma gare gare, ndakazvibvunza kuti kuchengetedza kodhi, kunoda zviwanikwa zvakawanda nekufamba kwenguva, kwaigona kumisa kuvandudzwa kwemashandiro matsva, kana kuti zvaizoda kuwedzera kusingagumi muhuwandu hwevagadziri? Ongororo yemasvomhu uye kusiyanisa equations kwakabatsira kuongorora zvine humbowo kutsamira kwehuwandu hwerutsigiro pabudiriro uye kuwana mhinduro dzemibvunzo.
Mubvunzo wekutanga. Inogona kutsigira "kudya" zvese zviwanikwa zvekusimudzira?
Funga nezvechikwata chevagadziri vepurogiramu umo nhamba yevatori vechikamu inogara iripo. Govera yenguva yavo yekushanda 
() inopedzerwa pakugadzira kodhi nyowani, uye chikamu chasara chenguva anoenda kunotsigira. Mukati mekufungidzira kwemuenzaniso, tinofungidzira kuti rudzi rwekutanga rwechiito chinangwa chekuwedzera vhoriyamu yekodhi, uye yechipiri ine chinangwa chekuishandura (kugadzirisa zvikanganiso) uye haina kukosha kukuru pahuwandu hwekodhi.
Ngatiratidzei huwandu hwese hwekodhi yakanyorwa kusvika panguva iyoyo nenguva . Tichifunga kuti kumhanya kwekunyora kodhi kwakaenzana , tinowana:
Zvakasikwa kufunga kuti mari yevashandi yekuchengetedza kodhi inoenderana nehuwandu hwayo:
kana
Kupi
Isu tinowana kusiyanisa equation iyo inogona kubatanidzwa nyore nyore. Kana panguva yekutanga yenguva iyo nhamba yekodhi iri zero, saka
pa basa uye . Uye izvi zvinoreva kudzikiswa zvishoma nezvishoma nekufamba kwenguva mukuvandudzwa kwekushanda kutsva kusvika zero uye kuendeswa kwezviwanikwa zvese kutsigira.
Zvisinei, kana panguva iyo code inopera uye inorega kutsigirwa, ipapo huwandu hwekodhi inoda kutsigirwa panguva atoenzana Zvadaro
Π° imhinduro kumusiyano equation ine nharo yakadzoreredzwa [1]:
Mhinduro kune yakadaro equation inotsanangurwa zvakasiyana nekutsanangura kukosha "nguva isati yatanga" . Sezvo iyo kodhi yakanga isati yanyorwa pamberi penguva yekutanga munguva, kwatiri at .
Ngatitarisei mienzaniso mishoma. Tichayera nguva mumakore, uye huwandu hwekodhi muzviuru zvemitsara. Then for kukosha kwehurongwa hwemakumi zvinogamuchirwa, isu tichatora makumi mashanu uye zana. Ndiko kuti, mugore rimwe boka rekuvandudza richanyora makumi mashanu nemazana zana mitsara yekodhi, zvichiteerana. For hunhu hunogamuchirika hunogona kuva: , , . Izvi zvinoreva kuti timu yekusimudzira inogona kutsigira huwandu hwekodhi yainonyora mugore, ingave kota, hafu, kana yakazara nguva. Seavhareji yehupenyu hwekodhi, isu tichaisa zvinotevera kukosha: 1, 2 uye 4 makore. Kugadzirisa equation nenhamba, tinowana mienzaniso yemafambiro ebasa racho kune mamwe masanganiswa eparameter .
Maitiro ebasa sezvo code makore, yachinja. Basa racho harisisiri risinganyanyise, asi kuchinja "kudzikama" nekufamba kwenguva, uye pane tsika yeku. kune imwe kukosha inogara iripo. Iwo magirafu anoratidza: zvakanyanya , ΠΈ , ndiko kuti, iyo inononoka makore ekodhi, kukurumidza kuvandudzwa kwekodhi itsva uye kuderera kwehutano hwekodhi, zvishoma zviwanikwa zvichasara pakuvandudzwa kwekushanda kutsva. Paive nechishuwo chekupa kanenge muenzaniso mumwechete umo "kusnuggled" pedyo ne zero. Asi izvi zvaida kusarudzwa kwehurombo husina kunaka zviratidzo uye kodhi isingachembera kwenguva yakareba. Kunyangwe mugirafu rezasi rekuruboshwe, huwandu hwakakosha hwezviwanikwa hunoramba huripo hwekushanda kutsva. Naizvozvo, mhinduro yakarurama kumubvunzo wokutanga pane izvi: nedzidziso - hongu, zvinogoneka; chaizvoizvo - zvakaoma.
Mibvunzo isina kupindurwa:
- Ichokwadi here ichocho inoenda kune imwe muganhu pa kune vese ? Kana zvisiri zvemunhu wese, saka ndezvipi?
- Kana muganhu uripo, kukosha kwayo kunobva sei ?
Mubvunzo wechipiri. Kugadziriswa kwekodhi kunogona kukonzera kukura kusingagumi muhuwandu hwevagadziri?
Ngatiratidzei nhamba yevagadziri vanobatanidzwa mukugadzira kodhi nyowani. Sezviri pamusoro, - huwandu hwekodhi yakanyorwa kusvika pane imwe nguva . Ipapo
Chengetedza kodhi rutsigiro rwakabatikana programmers. Tichifunga nezve kuchembera kodhi,
Kupi
kana , ipapo
Nokudaro, mhinduro kumubvunzo wechipiri haina kunaka: kana nhamba yevagadziri vekodhi itsva ishoma, saka mumamiriro ezvinhu ekukwegura kwekodhi, kutsigirwa hakugoni kukonzera kuwedzera kusingagumi kwenhamba yevagadziri.
mhedziso
Mienzaniso inofungidzirwa "yakapfava" yemasvomhu modhi [2]. Iwo ari nyore kwazvo. Zvakangodaro, kutsamira kweiyo simulation mhedzisiro paiyo parameter values ββinoenderana nezvinotarisirwa kune chaiwo masisitimu, izvi zvinomiririra kukwana kwemamodhi uye kukwana kwakakwana kuti uwane fungidziro yemhando yepamusoro.
Mareferensi
1. Elsgolts L.E., Norkin S.B. Nhanganyaya yedzidziso yekusiyanisa equations ine nharo inotsauka. Moscow. Publishing house "Science". 1971.
2. Arnold V.I. "Zvakaoma" uye "zvakapfava" masvomhu modhi. Moscow. Publishing house MCNMO. 2004.
Source: www.habr.com