Fractal anahonua - he mea kupaianaha mana

Ka manaʻo o "fractal anahonua" a me ka "fractal" i waho ma ka hopena o 70s., A o ka lua o ka hapalua o na 80s, ua lilo kekahi hapa o ka hua'ōlelo hou ka mea, o ka programmers, mathematicians a he waiwai kalepa. Kaʻia "fractal" ua loko mai o Roma "fractus" a unuhi "koena ai oia no." Mau hua'ōlelo i loko o 1975, he Amelika a me ka Palani nä känaka 'epekema Benoit Mandelbrot ua hōʻolokeʻaʻia ole akā, ka hoʻoponopono-like' ole, a ia i laila, i hana ai. I ka makahiki 1977, ua paʻi i kona buke, a i loa laʻa a hiki i kēia kū hoʻokahi a me ka nani kŰia o fractal anahonua o ke ano.

Sam Benoit Mandelbrot ua he mathematician, akā, i ka manawa "fractal" aole e kapa aku i ka makemakika manaÿo. E like me ka rula, ka mea, ua manaoia he geometric shape me kekahi a oi o ka kēia mau waiwai:

1) me ka hoomahuahua i loko o kona 'akomi i luna' 'ole;

2) he nui a uuku loa, keia huahelu Ua like ia iho;

3) ka mea hiki ke kūkulu hoʻohana recursive kaʻina hana;

4) ka mea, ua wehewehe aku ma ka fractional Hausdorff (fractal) Ana loa topology.

Fractal anahonua - keia mea he maoli kipi i loko o ka makemakika ano o ke ano. Hiki nō ke hoʻohana mea e wehewehe i ke ao nei, he nui aku maopopo ma mua o ka mea e hana ana i ke kahiko makemakika a me ke kālaikūlohea. E lawe, no ka laʻana, Brownian noi. Seemingly kaulele neʻeʻana o nā (particles) o ka lepo kau i loko o ka wai, he mea piha chaos. Aka hoi, a hiki iʻaneʻi he mea fractal anahonua. Promiscuous Brownian ka noi i ke alapine (frequency) ano i hiki ke hoʻohana 'e kilokilo aku i ka helu nui o ana helu ikepili. Kēia hiki ole akā, i mea hou. Eia naʻe, ia mea Brownian noi kōkua i loko o kā lākou manawa Mandelbrot kilokilo kumukuai fluctuations i loko o ka waiwai o ka hulu hipa.

Fractal anahonua Ua hoʻomano hoʻohana ma o ka kamepiula nō. Just manao wale ia oe pono e hana i kekahi polokalamu i hiki hōʻike 'ana i ka ekolu-dimensional kumu hoʻohālike o ke kapakai, i ka mauna a me ka lihi o ka ulu lāʻau. He aha nā papakuhikuhi e wehewehe i nā mea a pau e hiki ai? He aha hana i hana '? A 'aneʻi hele mai i ke kokua i fractals. E nana i ka poe uuku a lālā - i keia wahi like he nui laau. A liʻiliʻi ao nei heʻano o ka nui ao, a me ka lātoma - he wahi mea like o ka Wiliau Hōkū. No laila, hoʻohana 'recurrence nā papakuhikuhi, i mea, ka poʻe i hoʻohuli i ia lakou iho, he mea hiki ke simulate loaʻoia iʻo kiʻi.

Fractal anahonua loaa kona palapala noi i loko o kuhikuhipuʻuone, he kilokilo (Impressionism fractal). Sensational i loko o kona manawa pena o Jackson Pollock mea he Kuhina Nui laʻana. Me ke kōkua o nā fractals ho film hana ua i kekahi maoli Hopu - mua i loaʻimi hoʻopunipuni hiʻona nana aiʻoia iʻo. Economists hana ia e wńnana i ka papa o securities fluctuations. World fractals hale kūʻai na mea he nui hou kahaha ko oukou naau, no ka mea, o ke ola 'ōlelo o ke ano, a me ka mea i ike i loaʻaʻo ia, e pahu manaʻo kanaka ma luna o ka mea e hiki mai ana 5-10 makahiki?