I ka mole o ka helu kaulike - introductory 'ike

I ka hōʻailona helu, he mea i ka manaʻo o nā 'ano o ka like - i ka wahine paha, a me nā helu kaulike. Hawaii Five-- kēia mau mea like, a he hiki no a pau aiee o na palapala i hana ia. Helu kaulike - Ua hoi like, akā, ka mea, e hiki kekahi aiee o ko lākou constituent palapala wale no. Nā palapala ma ka olelo o ka pilikia i IeAUPIIe, IAa IO kaiʻewaʻewa. Kēia 'o ia hoʻi i kekahi o lākou ke lawe i kekahi i pololei ia cia, kapaʻia coefficients (a kiko'î a), a me kekahi poe e ae - i ike ia mea, i unknowns - ka manaʻo e e loaʻa i loko o ka pāʻoihana kaʻina. Nō kāu, na unknowns ho i nā palapala i loko o nā helu kaulike mea hou i loko o ka Roma Hawaiʻi (xyz etc.), a me ka mea palapala akā, me ka 'inideka (m _1, m _2, etc.), e like me kaʻike coefficients - mua palapala o ka mea hookahi Hawaiʻi.

E like me ka helu ana i ike ole pee helu kaulike me kekahi, elua a me kekahi mau unknowns. Penei, a pau aiee o na unknowns, no ka i Wehewehe i nā helu kaulike i ka wahine paha,, i kapaʻia ka pāʻoihana o na nā helu kaulike. Ka helu kaulike hiki ke noʻonoʻo hoʻonā i loko o ka hanana ana a pau o kona kākoʻo pāʻoihana i ike ai maopopo i ka mea, ua i poe. Hana "ke hoʻoponopono i ka helu kaulike" me ka hoʻomaʻamaʻa mea pono ole, a 'o ia hoʻi ia e pono e huli i ke kumu o ka helu kaulike.

Definition: nā kumu o ka helu kaulike lākou nei ka poʻe aiee o na unknowns o ka ioeeiiaiey, ma ka a, e hoʻoponopono i ka helu kaulike i ka ano pono'ī.

algorithm no ka hoʻoponopono nā helu kaulike o ka pāpā ikaika i ka ia a pau, a me ka manaʻo o ka mea o ia me ke kōkua o makemakika loli 'kēia' aoʻao o alakai i ka simpler ano.
Nā helu kaulike e i ka ia aa ma ka hōʻailona helu, ua kapaia like paha.

Ke simplest kumu 7x-49 = 0, i ke kumu o ka helu kaulike m = 7;
He m = 0 7, like me, ke kumu o ka m = 7, nolaila, e like me ka helu kaulike. (Ma kūikawā manawa like i ka helu kaulike e ole i na aa).

Inā i ka mole o ka helu kaulike mea i ke kumu o ka mea 'ē aʻe, he mea helu kaulike i loaa mai ma ka hou' ana o ke kumu, ua kapaia ka hope i kaʻilihune o ka mua helu kaulike.

Inā kēia mau nā helu kaulike kekahi o kaʻilihune o ka mea 'ē aʻe, ka mea i manaoia e e like paha. Akā, ka mea i kapaʻia like paha. Ka luna kumu wehewehe keia.

Ke kākoʻo pāʻoihana o ke ahiahi, i ka simplest nā helu kaulike ma ka hoʻomaʻamaʻa pinepine ke kumu pilikia. E like me ka hopena, i ka pāʻoihana ke kiʻi i kekahi kumu o ka helu kaulike, i elua a oi, a he mana loa helu - ka mea hilinaʻi nui ma luna o ke 'ano o nā helu kaulike. Aia no ka poe i ole aa, ua kapaia intractable mea.

examples:
1) 15 m 10 = -20; m = 2. 'O kēia ka mea wale nō kumu o ka helu kaulike.
2) 7x - y me = 0. Ka helu kaulike mea mana loa ka helu ana i na aa, mai kēlā me kēia ee iaaanu aey hiki ia he olalo i ka helu o nā loina.
3) m = ² - 16. Ka helu hoala mai ai i ka lua o ka loa, mau haawi i ka maikaʻi result, no laila, he mea hiki ole ke imi i ke kumu o ka helu kaulike. 'O kēia kekahi o ka unsolvable nā helu kaulike kau aʻela ma luna.

Pono o ka manaʻoi hoʻoholo 'ua hōʻoia e hookomoia ka loaʻa aa kahi o ka palapala, a me ka kūpono pāʻoihana laʻana. Inā paha, ka 'ua mahaloia, o ka olelo hooholo i pololei.