Umsebenzi Periodic: imiqondo jikelele

Ngokuvamile ekuhloleni zemvelo, zamakhemikhali Izakhiwo zanoma izinto ezihlukahlukene, kanye ekuxazululeni izinkinga eziyinkimbinkimbi lobuchwepheshe nazo izinqubo, isici okuyinto imvamisa, khona-ke ukuthambekela ukuphinda ngemva kwenkathi ethile yesikhathi. Ukuze incazelo kanye ukumelwa ecacile cyclicality enjalo kwezesayensi, kukhona uhlobo olukhethekile umsebenzi - umsebenzi ngezikhathi ezithile.

I elula futhi kuyaqondakala kakhulu kuwo wonke umuntu isibonelo - ekwelapheni iplanethi yethu emhlabeni Sun, lapho ngaso sonke isikhathi ukushintsha ibanga elibahlukanisile kungaphansi womjikelezo waminyaka yonke. Ngokufanayo, lapho ubuya esihlalweni sakhe, Esenze ithuba ephelele, ukudla ophephela. Zonke lezi zinqubo lingachazwa nge value zezibalo njengoba umsebenzi ngezikhathi ezithile. Ngokwengxenye enkulu, izwe lethu cyclical. Futhi lokho kusho ukuthi umsebenzi ngezikhathi ezithile uthatha indawo ebalulekile uzimele womuntu.

Isidingo izibalo inombolo theory, yomphindwa, umehluko zibalo , futhi izibalo eqondile yejeyomethri kwaholela ukuvela ekhulwini nesishiyagalolunye, isigaba esisha imisebenzi nge izakhiwo engavamile. Kwakumelwe imisebenzi gqwa ukuthatha amagugu ezifanayo ezindaweni ezithile ngenxa kugucuka eziyinkimbinkimbi. Manje asetshenziswa ezindaweni eziningi wezibalo nezinye izinhlobo zesayensi. Ngokwesibonelo, ukutadisha imiphumela ezahlukene vibrational wave physics.

Ngo ezihlukahlukene izincwadi zezibalo kukhona izincazelo ezahlukene umsebenzi ngezikhathi ezithile. Nokho, kungakhathaliseki ukuthi lezi umehluko kwamagama, zingabantu okulingana, ngoba ukuchaza okufanayo izakhiwo umsebenzi. Indlela elula futhi esobala kakhulu kungase kube le ncazelo elandelayo. Umsebenzi, izamba zazo akuzona ishintshe, uma sinezela agumenti zabo eziningi ngaphandle zero, inkathi okubizwa ngomlobokazi umsebenzi yi- incwadi T abizwa ngokuthi gqwa. Kusho ukuthini konke lokhu kusho emsebenzini?

Ngokwesibonelo, umsebenzi okulula ifomu: y = f (x) uzoba gqwa uma X inenani ethile kwesikhathi (T). Kule ncazelo kusobala ukuthi uma inani kwamanani umsebenzi kokuba isikhathi (T) kuchazwa kwelinye amaphuzu (x), khona-ke inani layo futhi sesaziwe at x T + x - T. Iphuzu elibalulekile lapha ukuthi uma T zero iba umsebenzi ungubani. umsebenzi Periodic zingaba isibalo esingapheliyo izinkathi ezahlukene. Esikhathini omningi amacala omuhle yezindinganiso T ukhona phakathi ephansi inkomba zezinombolo. Ibizwa ngokuthi inkathi ayisisekelo. Futhi zonke ezinye izindinganiso T kuba njalo sihlukaniswe. Lena enye ezithakazelisayo futhi ibaluleke kakhulu ezahlukene imikhakha impahla.

Hlela umsebenzi ngezikhathi ezithile futhi inezici eziningana. Ngokwesibonelo, uma T kwesikhathi eziyisisekelo ukuthini inkulumo ethi: y = f (x), kwase kuba nge-itulo lo msebenzi, ngokwanele nje ukwakha igatsha kwelinye izinkathi ubude isikhathi, bese ukuhambisa it kanye eksisi x ngoba amanani alandelayo: ± T, ± 2T , ± 3t nokunye. Ekuphetheni, kufanele kuphawulwe ukuthi akuwona wonke umsebenzi ngezikhathi ezithile kuba inkathi main. Isibonelo zakudala salokhu sezibalo German Dirichlet umsebenzi ifomu elilandelayo: y = d (x).