Āhuahanga rauponga - he merekara mīharo

Ko te ariā o "āhuahanga rauponga" me "rauponga" puta i roto i te 70 te mutunga., A te hawhe tuarua o te 80s, kua meinga e ratou tetahi wahi o te kupu o hötaka, pāngarau , me te ara kaihokohoko pūtea. I ahu mai te wā "rauponga" te i rātini "fractus" ka whakamaoritia "whatiwhatinga arā, o." Enei kupu i roto i te 1975, i tuhia he American me te kaiputaiao Wīwī Benoit Mandelbrot hanganga kōhikohiko, engari whaiaro-rite, e ka meatia e ia. I roto i te 1977 whakaputaina e ia tona pukapuka, i oti rawa katoa ki tenei āhuatanga ahurei, me te ataahua o te āhuahanga rauponga o te natura.

Sam Benoit Mandelbrot ko he mathematician, engari e kore e te wā "rauponga" tirohia ki te ariā pāngarau. Ka rite ki te tikanga, te auraa reira he āhua āhuahanga he tetahi atu ranei o nga āhuatanga e whai ake nei:

1) ki te hua i roto i tona hanganga matatini kitea;

2) te whānuitanga nui iti ranei, he rite ki ake tenei ahua;

3) Ka taea te hanga i te reira te whakamahi i tukanga recursive;

4) Kei te āhuatanga i reira e hautanga Hausdorff (rauponga) ahu rawa āhuawhatunga.

āhuahanga rauponga - ko te revolution tūturu i roto i te whakaahuatanga pāngarau o te natura tenei. Ka taea e koe te whakamahi i te reira ki te whakaahua, ko te nui ake mārama te ao atu i te reira i te pāngarau tuku iho ahupūngao ranei. Tangohia, mo te tauira, nekehanga Brownian. nekehanga ngali tupurangi o matūriki o te puehu e iri i roto i te wai, i reira he hepohepo oti. Otiia, ara i konei i reira he āhuahanga rauponga. Mau nekehanga Brownian he āhuatanga auau e taea te whakamahi ki te matapae ngā ki te maha nui o ngā raraunga tatauranga. e kore e taea e tenei meinga engari ohorere. Heoi, ko reira nekehanga Brownian awhinatia i roto i to ratou wa Mandelbrot matapae rerekē utu i roto i te uara o te huruhuru.

Kua āhuahanga rauponga kua whakamahia whānuitia i roto i te toi rorohiko. whakaaro Just e hiahia ana koe ki te hanga i tētahi hōtaka e taea te whakaatu i te tauira e toru-ahu o te takutai, te maunga ranei te mata o te ngahere. He aha tātai whakaahua taea katoa? He aha te whakamahi mahi? Na konei tae ki te fractals āwhina. Titiro i te peka iti - tenei ahua iti he rakau nui. Ko te ahua o kapua nui, me te rāpoi ngota te kapua iti - he orotahi iti o te tupuni. Na, te whakamahi i tātai hohokitanga, e ko, te hunga e kōrero ki a ratou ano, he reira taea ki te whakatau i te whakapakoko rawa kiko.

kitea e āhuahanga rauponga tona tono i roto i te hoahoanga, toi pai (Impressionism rauponga). Autaia i roto i tona peita wa o Jackson Pollock, ko te tauira pirimia. hanga kua ki te awhina o fractals ahumahi kiriata he pakaruhanga tūturu - i mua i kore kua āhuatanga horihori titiro na tūturu. whakamahi economists ratou ki matapae i te akoranga o te peeke rerekē. fractals World toa maha atu maere, no te mea te mea he reo ora o te natura, a ko wai e matau ana i kitea e pana ia tangata i runga i te 5-10 tau i muri?