Whakaoti Paerangi Equations

Creative Gauss rōpū organic moku, i waenganui i te tauhanga ariā, me te mahi, te hohonu o te mau fifi. i te pānga nui i runga i te hanganga o te taurangi mahi a Gauss (haamauraa o te axioms matua o te pūtaiao), te otinga o ngā whārite rārangi o te ariā o ngā tau (ā-mata āhuahanga), ahupūngao pāngarau (parau tumu Gaussian), hiko ariā me te autō, geodesy (ki te whakarato i te tikanga o tapawhā iti), me te tata wāhanga katoa tātai arorangi.

"Rangahau Arithmetic"

Ko te tino tuatahi o tona ahua i roto i te hanga nui o Gauss - "rangahau Arithmetic" (whakaputaina i roto i te 1801), i roa tata katoa nga tau o tona ora. I muri i te hanganga - ko te tino wāhanga o te tauhanga - tau ariā me te pāngarau matatau, i ngā te otinga o ngā whārite rārangi.

O te maha nui o ngā putanga iti me te tumuaki whakarārangitia i roto i "rangahau Arithmetic", kia tuhia te reira te ariā tonu o puka pūrua, me tohu tuatahi o te ture tauutuutu pūrua. I te mutunga o tona ora hua Gauss i roto i te porohita tino o te ariā o te wehenga o ngā whārite, tohu ratou feohi ki nga mahi o te whare taparau kï kua i roto i te wa onamata, ko te kaha o te hanga i te awhi me te tapamaha pono-hangatonu ki te maha tika o ngā taha.

whakakitea Gauss nga tau katoa i roto i ai te hanga o te taparau pono te whakamahi i te rangatira me te awhi e taea e ohie. Tenei pera-ka karanga "rima rerekē tau noa Gaussian", e toru me te rima, tekau ma whitu, me e rua rau e rima tekau-whitu, me te 65.237, a tae noa tini haere i roto i ngā wāhanga rerekē o te rua tau tōpu Gaussian. Hei tauira, ki te hanga ki te awhina o te taputapu tari pono (3h5h17) - gon whakaaetia te me te tika 7-gon he taea, mai kore he Gaussian ahua, kua reira te tau mua.

axiom taurangi Kāinga

Ki te ingoa o Gauss tonu hono te axiom matua o te taurangi, kia rite ki nei te maha o pakiaka o te pūrau (tūturu me matatini) ko te taua (ki te pakiaka tau whakaahua ke ka pakiaka matatini kia tangohia ki pūkete rite maha nga wa i rite tona atamira). i te haamauraa Tuatahi o nga axioms matua o te taurangi Gauss i 1799, a muri mai hanga te tuku ano nui etahi o taunakitanga.

tukatuka o ngā kitenga

tikanga hē mō pūtaiao katoa e pā ana ki te pūnaha taua, kia rite ki te tikanga mō te whakaoti ngā pūnaha o whārite, whakawhanakehia e Gauss, he nehenehe o te whiwhi uara atu pea o nga inenga. Ngā i hanga rongonui whānui e Gauss i 1821. tikanga o te iti rawa tapawhā. Scientists whakatakotoria hoki ka niu te ariā o ngā hapa.

Ko te tikanga o te akoranga Gauss

Tata ki te katoa o reira me te whakakitenga inaianei, te ako nui o Carl Gauss kihai i whakaputa i roto i tona ora. e tiakina ratou i roto i te puka o huahua, tuhinga roa, i tuhi nei e ona hoa. whai wāhi te raraunga ako i roto i mahi o Göttingen hapori pūtaiao, i tahuri atu ki te whakaputa ma rua rōrahi o nga mahi o Gauss. mahi atu whakaongaonga, me te rongonui "Rapanga Linear Equations" whakaputaina mutunga rite aitua kitea tona rātaka ki enei pūkete.

Ko te mahi pūtaiao o Charles i runga i whakaoti whārite rārangi. kua tino pāngarau tīpakongia kua whakatinana i roto i te wahi turanga o te pūtaiao, i hoatu ai ki te uaua nui. Hoki i whakaaro ki te kia whawhai, i reira i tokomaha mātauranga e hiahia ana ki te whakanui i te kaupapa o te rongoā o whārite rārangi.

i te pānga nui i runga i te hanganga ū mai o tau ariā me te taurangi ako tauhanga. ture tauutuutu me ki tenei ra noho te wahi nui i roto i te taurangi. kihai i tenei pūtaiao nui tuhinga, e tika ana ki te mahi i runga i taua whakaputanga rite "rangahau Arithmetic", "whakatau kopu e Gauss" me "Solution o whārite rārangi", i tangohia te matauranga katoa ia, kia rite ki te mea ratou, i roto i o toku matenga.