Mahi Periodic: ariā whānui

E mea pinepine i roto i te ako o te tītohu tūturu, matū me ngā āhuatanga ōkiko o ngā matū, me te rite i roto i te whakaoti rapanga hangarau matatini tūpono ki te tukanga, he āhuatanga o e ko te auau, ka i reira he he hehema ki te faahiti i muri i te tetahi wā o te wā. Hoki te whakaahuatanga, me te kanohi whakairoiro o taua cyclicality i te pūtaiao, i reira te mea he ahua motuhake o te mahi - he mahi wā.

Ko te māmā a tino mahino ki katoa i te tauira - he maimoatanga o to tatou paraneta a tawhio noa te ra, i roto i nei ki te wa katoa huri i te tawhiti i waenganui i a ratou i raro ki te huringa ā-tau. Waihoki, kei te hoki mai ia ki tona nohoanga, ka hanga he tahuri oti, te uruuru. Ka taea te whakaahuatia enei tukanga katoa e te uara pāngarau rite te mahi wā. Na roto i te a nui, he huritaiāwhio to tatou ao. Na e te tikanga e tango te mahi wā he wahi nui i roto i te tāpare tangata.

Ko te hiahia hoki pāngarau i roto i te tau ariā, āhuawhatunga, whārite pārōnaki , me tātaitanga āhuahanga pau arahina ki te putanga i roto i te rautau tekau mā iwa, he kāwai hou o ngā mahi ki te āhuatanga rerekē. Ko ratou mahi wā tango uara ōrite i etahi ngā rite ki te hua o panoni matatini. E whakamahia ratou i teie nei i roto i te maha ngā wāhi o te pāngarau, me te tahi atu mau ihi. Hei tauira, i roto i te tuatapaparaa i te pānga o ngā ahupūngao poipoi vibrational.

I roto i ngā pukapuka pāngarau he whakamāramatanga rerekē o te mahi wā. Heoi, ahakoa o enei rerekētanga i roto i te ngā kupu, he ōrite ratou, mai whakaahua ratou te taua āhuatanga o te mahi. Ko te māmā a tino kitea ai e te whakamāramatanga e whai ake. Taumahi, e kore e ngohengohe ki te huri i te moni o nei, ki te tāpiri tatou ki to ratou tautohe he maha atu i te kore, kua karangatia e wā te wā pera-ka karanga o te mahi denoted e te pukapuka T. Eaha te auraa o tenei katoa i roto i te mahi?

Hei tauira, he mahi ohie o te puka: ka riro y = f (x) i te wā ki te X i te tetahi uara o te wā (T). Mai i tenei whakamāramatanga whai reira e ki te tautuhia te uara ā-tau o te mahi ia i te wā (T) ko te roto i tetahi o nga ngā (x), ka tau ana mohiotia hoki tona uara i x T + x - T. Ko te wāhi nui i konei, ko te e ka T ko te kore riro he mahi tuakiri. Ka taea e mahi Periodic he maha mure ore o wā rerekē. I roto i te nuinga o ngā take pai i roto i te uara vai T i waenganui i te tohu tau i raro. Kei te karanga a te reira i te wā taketake. Na te tahi atu uara katoa o T he wehewehe tonu reira. Ko tetahi ngā, me te tino nui mō te rerekē rawa mara tenei.

Whakarite i te mahi wā hoki he maha ngā āhuatanga. Hei tauira, ki te ko T te wā taketake o te faaiteraa: y = f (x), ka na roto i te whakaaro tenei mahi, tika nui ki te hanga i te peka i roto i tetahi o nga wā o te roa wā, a ka neke ai me te tuaka x mo te uara e whai ake nei: ± T, ± 2t , ± 3T me pera i runga i. Roto i te whakamutunga, kia tuhia te reira e ko te wā matua kore katoa o te mahi wā. He tauira matarohia o tenei he mathematician Tiamana Dirichlet mahi o te puka e whai ake nei: y = d (x).