Function Waqtiga: fikradaha guud

Inta badan daraasadda of dhacdo dabeeci ah, kiimikada iyo guryaha jirka ah ee walxaha kala duwan, iyo sidoo kale in xalinta dhibaatooyinka farsamo adag kala kulantay la habka, feature ah taas oo ah inta jeer ee, ka dibna waxaa jira u janjeera in ay ku soo celiyaan muddo waqti go'an ka dib. Waayo, sharaxaad iyo matalaad graphic of cyclicality sida sayniska, waxaa jira nooc gaar ah oo shaqo - shaqo wareegsan.

Ugu fudud oo ugu fahmi karo qof kasta tusaale - daaweynta meeraha our agagaarka Sun, taas oo waqtiga oo dhan in la beddelo masaafada u dhexeeya iyaga ku xiran yahay wareegga sanadlaha ah. Sidoo kale, waxa uu soo laabtay kursigiisa, isagoo ka dhigay markeeda a complete, daab marawaxadaha ah. All hawlgaladaa lagu tilmaami karaa by qiimaha xisaabta sida function a wareegsan. By waaweyn iyo, dunida waa meerto. Iyo in ka dhigan tahay in shaqo wareegsan qaadataa meel muhiim ah ku yiilleen aadanaha.

Baahida loo qabo xisaabta in aragtida tirada, topology, isla'egyada kala duwan , iyo xisaabaha joomatari saxda keentay in soo bixitaanka qarnigii sagaal iyo tobnaad, category cusub ee hawlaha la guryaha aan caadi ahayn. Waxay ahaayeen hawlaha wareegsan qaadato qiimaha isku at dhibcood gaar ah oo sabab u ah transformations adag. Waxaa hadda loo isticmaalaa meelo badan oo xisaabta iyo sayniska kale. Tusaale ahaan, in waxbarashada saamaynta physics kala duwan la ruxruxo vibrational.

In kala duwan buugaagta xisaabta waa sharaxyo kala duwan oo shaqo ah oo wareegsan. Si kastaba ha ahaatee, iyadoo aan loo eegin, kuwaas oo kala duwan in ereyada, iyagu waa u dhigma, tan iyo markii ay sharaxaad ka mid ah sifooyinka shaqada. The fudud oo ugu cad laga yaabaa in qeexitaanka soo socda. Function, qadarka of taas oo aan ku xiran yihiin in la beddelo, haddii aynu ku darno wax xuja ah tiro kale oo aan ahayn eber, muddada loogu yeero ee shaqada muujinaysaa by warqadda T waxaa lagu magacaabaa wareegsan. Waa maxay waxan oo dhan ka dhigan tahay in la fuliyo?

Tusaale ahaan, function fudud ee foomka: y = f (x) uu noqon doonaa wareegsan haddii X uu qiimo gaar ah oo muddada (T). From qeexitaankan waxaa soo socota in haddii qiimaha tiro ka mid ah hawl isagoo muddo (T) waxaa lagu qeexaa in mid ka mid ah dhibcood ee (x), ka dibna ay qiimaha sidoo kale loo yaqaan ee x T + x - T. dhibic The muhiim ah halkan waa in marka T waa eber noqdo shaqo aqoonsi ah. function wakhtiyeysan yeelan karaan tiro aan la koobi karayn ee muddooyinka kala duwan. In badan oo ka mid ah xaaladaha wanaagsan ka mid ah qiimaha T jira ee u dhexeeya tilmaame ugu hooseeya tiro. Waxaa lagu magacaabaa xilliga asaasiga ah. Oo dadkii oo dhammu qiyamka kale ee T waxa ay had iyo jeer waa loo qeybin. Tani waa mid kale oo xiiso leh oo aad u muhiim u ah hantida beeraha kala duwan.

Jadwal shaqo ku wareegsan ayaa sidoo kale waxa uu leeyahay muuqaalada dhowr. Tusaale ahaan, haddii T waa xilliga asaasiga ah ee hadal ah: y = f (x), ka dibna by shirqoolka shaqo this, kaliya ku filan in la dhiso laan in mid ka mid ah waqtiyada dhererka muddada, ka dibna u guurto taxey x ee qiyamka soo socda: ± T, ± 2T , ± 3t iyo wixii la mid ah. Gebogebadii, waxa loo sheegayaa, in aanay wada shaqayn ka wareegsan waa xilliga ugu muhiimsan. Tusaale A classic of this waa xeeldheere xisaab Jarmal function Dirichlet foomka soo socda: y = d (x).