Umsebenzi Periodic: ingqiqo jikelele

Amaninzi ekufundeni ngendalo, iikhemikhali kunye neempawu zomzimba kwezinto ezahlukeneyo, kwakunye ekucombululeni iingxaki ezintsonkothileyo zobuchwepheshe nazo kunye neenkqubo, uphawu apho ke amaza, ngoko kukho umkhwa ukuphinda emva kwexesha elithile. Kuba ngokweenkcazo ukumelwa ecacile cyclicality enjalo kwinzululwazi, kukho uhlobo olulodwa umsebenzi - umsebenzi ngamaxesha athile.

Eyona ndlela ilula kakhulu uqondakale wonke umzekelo - unyango lwe iplanethi yethu ngeenxa iLanga, apho lonke ixesha ukutshintsha umgama phakathi kwabo kuxhomekeke kumjikelo wonyaka. Ngokufanayo, yena abuyele esihlalweni sakhe, akuba wajika epheleleyo, ikhaba samanzi. Zonke ezi nkqubo linokuchazwa yi ixabiso zezibalo njengoko umsebenzi ngamaxesha athile. Ubukhulu becala, ihlabathi lethu nokungazinzi koqoqosho. Yaye oko kuthetha ukuba umsebenzi ngamaxesha kuthatha indawo ebalulekileyo kwisakhelo yabantu.

Imfuneko imathematika theory inombolo, ithopholoji, umehluko zibalo , kwaye izibalo zejometri ngqo kwakhokelela ukuvela kwinkulungwane yeshumi elinesithoba, udidi olutsha imisebenzi ngempahla ezingaqhelekanga. Baba imisebenzi ngamaxesha ukuthatha amaxabiso twatse kwiindawo ezithile ngenxa zinguquko ezintsonkothileyo. Ngoku zisetyenziswa kwiindawo ezininzi zemathematika kunye nezinye izifundo zesayensi. Ngokomzekelo, xa ukufunda ifuthe ezahlukeneyo vibrational wave physics.

In ezahlukeneyo zezifundo zemathematika iinkcazelo ezahlukeneyo komsebenzi ngamaxesha athile. Noko ke, kungakhathaliseki ukuba ezi yantlukwano ngaphakathi ngamagama, ukuba alingana, ekubeni bachaza enye iimpawu lo msebenzi. Eyona ezicacileyo ilula kwaye inokuba le nkcazelo ilandelayo. Umsebenzi, izixa zazo phantsi ukutshintsha, ukuba sithe saphinda ingxoxo yabo ngaphandle zero inombolo, ixesha ebizwa ngokuba na umsebenzi zibonakaliswe yileta T kuthiwa ngamaxesha athile. Kuthetha ntoni konke oku kuthetha ku umkhuba?

Umzekelo, umsebenzi elula ifomu: y = f (x) iya kuba ngamaxesha xa X ixabiso elithile thuba (T). Ukusuka kule nkcazelo kulandela ukuba ukuba ixabiso lenani komsebenzi kubekho ixesha (T) uchazwa kwenye amanqaku (x), ngoko ke ixabiso layo limiselwe yaziwa x T + x - T. Ingongoma ebalulekileyo apha kukuba xa T ngu zero iba umsebenzi yesazisi. umsebenzi Periodic kunokuba inani olungenasiphelo lwamathuba ezahlukeneyo. Xa uninzi kwiimeko ezintle phakathi amaxabiso T ukho phakathi isalathisi lisezantsi lwamanani. Ibizwa ngokuba ixesha esisiseko. Kunye namanye onke amaxabiso T oko kusoloko liyohluleka. Le yenye umdla kwaye kubaluleke kakhulu ezahlukeneyo zepropati.

Ukucwangcisa umsebenzi ngamaxesha kwakhona inemisebenzi eziliqela. Umzekelo, ukuba T na ixesha esisiseko elithi: y = f (x), ke ngoko xa ugobe lo msebenzi, nje ngokwaneleyo ukuze kwakhiwe isebe kwenye maxesha ke ubude ixesha, uze uyisuse uyise ecaleni x axis ukuba kwezi zithethe zixabisekileyo zilandelayo: ± T, ± 2T , ± 3T njalo njalo. Xa ndiqukumbela, kufanele kuqatshelwe ukuba ayizizo zonke umsebenzi ngamaxesha yeyona xesha ephambili. Umzekelo ezaziwa oku yezibalo German Dirichlet umsebenzi le fomu ilandelayo: y = d (x).