Hanganga, Mātauranga Tuarua me ngā kura
Raruraru combinatorial. Ko te māmā raruraru combinatorial. Raruraru combinatorial: Tauira
whakamōhio ngā kaiako o pāngarau ratou ākonga ki te ariā o "raruraru combinatorial" Ko tonu i roto i te rima o te kōeke. Ko te tika tenei ki te whakarite i taea ki te haere tonu te mahi ki te mahi matatini ake ratou. I raro i raruraru combinatorial taea te mauruuru i te whai wāhi ki te whakatau i te reira e te tikanga o kōmaka huānga o te huinga fakangatangata.
Ko te tohu matua o ngā raruraru o tenei tikanga ko te pātai ki a ratou, e tangi rite "He aha kōwhiringa?" Ranei "hia ara?" Raruraru combinatorial tei runga i ranei kahore ranei ki te whakaoti ia ratou i matau ki te tikanga, ahakoa i taea ki te tohu tika te mahi tukanga ranei kua e kua whakaahuatia e ia i roto i te mahi.
Me pēhea te ki te whakaoti i te raruraru combinatorial?
He mea nui ki te tāutu i tika te momo o hononga e wātea ana katoa i roto i te raruraru, engari he mea e tika ana ki te tirohia rite ki ahakoa tuaruatia reira āhuatanga ki te huri i te huānga ratou ki te takaro i te wāhi nui e kia ratou, me te i runga i ētahi atu āhuatanga.
Ka taea e te raruraru combinatorial i te maha o fakangatangata e taea te whakaritea i runga i te pūhui. I roto i tenei take, ka hiahia koe ki te tatau ia whakatau katoa ki te tirohia, ahakoa enei here i tetahi mana ki runga ki te hononga o ngā wāhanga katoa. Ki te he tino i reira te pānga, e hiahia ana koe ki te tirohia he aha i reira.
Hea ki te tīmata?
Tuatahi ti'a ia tatou ki te ako ki te whakaoti rapanga combinatorial pūmotu. tukua aravihi rauemi ohie ki te ako ki te matau i te mahi matatini ake. Ka tūtohu mātou kia tīmata koe ki te whakaoti i te raruraru ki te herenga e kore e i tangohia ki whakaarohia i roto i te kōwhiringa atu ohie.
Kei te tūtohutia hoki te reira ki te ngana ki te whakaoti i aua raruraru tuatahi, e kia whakaaro he maha iti o huānga noa. Na ka taea e matau koe i te parau tumu o tauira hanga, me te ako i roto i te heke mai i runga i to ratou ake ki te waihanga ratou. Ki te te mahi mo e ngā te hiahia ki te whakamahi i combinatorial o te huinga o te maha ohie, e tūtohu ana ki te whakaoti i te reira e te wahi.
raruraru combinatorial
Taua raruraru kia mea ohie i roto i te whakatau, engari ko te tino uaua ki te whakawhanake i te combinatorics, etahi o ratou e kore e whai i te otinga mo te tau kotahi rau kua hipa. Ko tētahi o nga mahi tino rongonui ko ki te whakatau i te maha o tapawhā makutu o te tukanga motuhake i roto i nei te tau n te mea nui ake i te 4.
Ko e pā ana tata ki te ariā o te tūponotanga, i puta i roto i nga wa wharekarakia raruraru combinatorial. Ka taea te tātai te tūponotanga o te takenga mai o te kaupapa ngā anake ki te whakamahi o combinatorics, i roto i tenei take e hiahia ana koe ki te hohoko i waenganui i te katoa o nga āhuatanga i roto i te tahi mau wahi ki te tiki i te otinga tino pai.
Hui nga wero
raruraru combinatorial ki te otinga whakamahia mo te whakangungu o ngā ākonga, me ngā ākonga ki te mahi ki tenei rauemi. Ki te kōrero tatou i roto i te whānui, kia hanga e ratou he tangata o te moni, me te hiahia ki te kitea te otinga noa. I tua atu ki tātaitanga pāngarau, he mea e tika ana ki te tono i te ahotea hinengaro, me te whakamahi i te pōhēhētanga.
I roto i te tukanga o te whakaoti nga raruraru o te tamaiti ka taea ki te whakawhanake i ō rātou whakaaro, me te pāngarau kaha combinatorial, taea tino e te reira whai hua ki a ia i roto i te heke mai. Ina e, ko te taumata o te whīwhiwhi o te mahi e hiahia ana koe ki te whakapai ake, e kore e ki te wareware te matauranga ngā ka tāpiri ki a ratou.
Tikanga 1. tukurua
He tino rerekē i ia atu tikanga mō te whakaoti rapanga combinatorial, engari e taea te whakamahi e ratou mo te tauira whakautu. Ko tētahi o te māmā, engari i te wa ano, me te ara roa ki te māhunga. A, no te mea e tika ana ki te tamata noa rongoā taea katoa, kahore hanga i tetahi hoahoa me tepu.
Ka rite ki te tikanga, te pātai i roto i te raruraru taua e pā ana ki te kōwhiringa o te takenga mai o te hui ngā, pērā i: he aha tau e taea te hanga e ki tau 2, 4, 8, 9? Na roto i te tamata unu nga kōwhiringa katoa ake he whakautu tënei o nga ngā taea. Ko te pai te tikanga pērā ki te he ähua iti te maha o ngā kōwhiringa.
2. Ko te tikanga o te Wood ahua
e taea te whakatika anake i hanga i te kaupapa, i roto i nei e ngā mōhiohio e pā ana ki ia tūemi e whakarārangitia i roto i te taipitopito ētahi raruraru combinatorial. Tuhi ake he rakau o kōwhiringa - ara tetahi ki te kitea te whakahoki. Ko reira e tika ana mō rongoā kore mahi uaua rawa, i roto i nei i reira ko te huru atu.
He tauira o tenei raruraru:
- He aha e taea te hanga e tau e rima-mati i te mati 0, 1, 7, 8? Hei whakaoti i te hiahia ki te hanga i te rakau o ngā taea katoa, i te mea kua he huru atu - e kore e taea e te tokomaha te tīmata i te wahanga. Ko te kupu, ka ngā te whakautu o nga tau katoa e ka tīmata i te 1, 7 8 ranei.
Hanganga Tikanga 3 tepu
Ka taea te whakamana e te tikanga o tepu raruraru combinatorial. He rite ki te rakau o kōwhiringa ratou no te mea tuku te reira i te otinga mārama ki te āhuatanga. Hei kitea te whakautu tika e hiahia ana koe ki te waihanga i te tepu, a ka kia whakaatahia reira whakapae, me te ko te taua tikanga poutū.
Ka kia whiwhi whakautu pea i te pūtahitanga o tīwae me nga rarangi. I roto i tenei take, nga whakautu ki te pūtahitanga o te tīwae me rarangi e kore e riro i te taua raraunga, kia waiho te pūtahitanga tino tohu, e kore e ki te kia raruraru ki te tuhi ki runga o te whakahoki whakamutunga. Kei te kore rawa maha akonga whiriwhiri tenei tikanga, he tokomaha hiahia te rakau ki te kōwhiringa.
Tikanga 4. Whakarea
Tera atu ano tetahi ara e e taea e koe te whakaoti rapanga combinatorial - whakareatanga ture. Ko tino i roto i te take, ka kore ko te huru e tika ana ki te whakarārangi i te rongoā taea katoa ia, Me tika koe ki te kitea te tau mōrahi. Tenei tikanga he anake te kotahi o ia ahua, te whakamahia reira rawa maha, ka timata noa ki te whakaoti rapanga combinatorial.
kia tētahi tauira o tenei raruraru e whai ake:
- titau 6 iwi i roto i te whare whakamātautau. E hia ngā huarahi e taea te whakamahi ki te tuu ia ratou i roto i te rārangi? Hoki Whakautu he tika ki te whakapūtā e hia o ratou kia te tuatahi, engari ki runga ki te tuarua, te tuatoru, me pera i runga i. D. ka hei te whakautu te tau 720.
Combinatorics me ona momo
raruraru combinatorial Ko kore rauemi kura anake, kei te ako hoki reira ākonga whare wānanga. I roto i te pūtaiao, i reira e rave rahi ngā momo o combinatorics, me ia o ratou kua ona ake misioni. Me whai whakaaro tatauria combinatorial raruraru i runga i whakawhiti me te tatau o whirihoranga taea ki ngā āhuatanga atu.
combinatorics Structural Ko te wāhanga o te hōtaka kura nui, tirohia reira te ariā o matroids me kauwhata. combinatorics Extreme hoki kua ki te mahi ki te rauemi kura nui, a konei ko ratou fakangatangata takitahi. Ko tētahi atu wāhanga - Ramsey ariā ko te ako o ngā tauira i roto i ngā rerekētanga matapōkere o ngā huānga. He he ano hoki te combinatorics reo, kei te whakaaro nei e te hototahi o etahi āhuatanga i roto a ratou ano.
Methods o whakaako raruraru combinatorial
E ai ki te marautanga, te tau o te ākonga, kei te hangaia nei mo te mohio tuatahi ki te rauemi, me te whakaoti i te raruraru combinatorial - 5 piha. Ko reira i reira hoki te wa tuatahi e patua ana tenei kaupapa te ki te ākonga, whiwhi ratou maheni ki te āhuatanga o combinatorial me tamata ki te whakaoti o ratou mahi. He mea tino nui e te tikanga e whakamahia ana i roto i te waihanga o te raruraru combinatorial ka whai wāhi ngā tamariki e i roto i te imiraa i te mau pahonoraa ki ngā pātai.
I roto i te tahi atu mea, i muri i ako i tenei kaupapa e kia nui māmā ki te whakauru i te ariā o te whakarea, me te whakamahi i te reira mo whakaoti whārite, mahi, me te pera atu. Ko te kupu, combinatorial e whai wāhi nui i roto i te mātauranga anō.
raruraru combinatorial: he aha e ratou mo?
Ki te matau koutou ki ta te raruraru combinatorial, kahore fifi me ratou whakatau e ite i koe. Methods o whakaoti ratou e taea e whai hua, ki te tika, whakaritenga, rārangi mahi, me te tātaitanga pāngarau matatini, hoki e kore te mea mahi e tika ana whakaaro hiko.
I roto i ngā kura ki roto i-hohonu ako o pāngarau me te pūtaiao rorohiko raruraru combinatorial e ako atu, ko te motuhake akoranga, buka, me ngā mahi hoki tenei. Ka rite ki te tikanga, e rave rahi mau fifi o tenei momo e taea hei wahi o te whakamātautau kāwanatanga kotahi i roto i te pāngarau, he ratou te tikanga "huna" i roto i te Wāhanga C.
Me pēhea te ki te whakaoti i te raruraru combinatorial hohoro?
He nui ki te taea ki te kite i te raruraru combinatorial hohoro te reira, mai kia ai mea hipoki ki ngā kupu, he mea nui rawa, no te tango i te whakamātautau, te wahi nga kaute meneti. Tuhia i roto i wehe te mōhiohio e kite koutou i roto i te kuputuhi o te raruraru, i te pepa, a ka ngana ki te tātari i te reira i te wāhi o te tirohanga o te ara rongonui wha.
Ki te taea te hoatu e koe te kōrero i roto i te ripanga atu hinonga ranei, ngana ki te whakaoti i te reira. Ki te whakarōpū tatou i te reira, e kore e taea e koutou, i roto i tenei take, ko te reira pai ki te waiho i te reira no te te wa poto, me te neke i runga i ki atu mahi, kia rite ki te kore ki te ururua wa utu nui. Ka taea te karohia tēnei āhuatanga i roto i te mua poreshat nui etahi o tenei momo o te raruraru.
Hea e taea e kitea e ahau te tahi mau hi'oraa?
Ko te mea anake e e te tauturu ia koe ako e founga ki te whakaoti rapanga combinatorial - tauira. Ka taea te kitea ratou i roto i ngā kohinga pāngarau motuhake, e kua hokona i roto i nga toa o te tuhinga mātauranga. Heoi, e taea reira e kitea te mōhiohio anake mō ngā ākonga kura tiketike, ka whai ngā ākonga ki te kitea ngā mahi atu ahu ki kua whakaaro te mahi te toenga o te kaiako.
University ahorangi whakapono e hiahia ngā ākonga ki te whakangungu me te tonu whakahere ratou atu tuhinga mātauranga. Ko tētahi o nga kohikohinga pai whakaaro "Methods o Discrete Analysis i whakaoti rapanga combinatorial", tuhituhia i roto i te 1977, ka hangaia e toutou ārahi whare te whakaputa o te whenua. Ko te wahi e kitea ai e koe nga mahi e hāngai ana i te wa, me te noho tika i tenei ra.
Aha ki te mahi, ki te hiahia koe ki te hanga i te raruraru combinatorial?
Nuinga o ngā wā i te mahi combinatorial, me waiho e koe kaiwhakaako nei e hiahiatia ana ki te whakaako i ngā ākonga ki te whakaaro unconventionally. Here ka whakawhirinaki nga mea katoa i runga i te pūmanawa auaha o te Take. E tūtohutia ana ki te whakarongo ki nga kohikohinga ngā ka ngana ki te hanga i te mahi kia e fakatahai reira maha ngā huarahi ki te whakaoti i te reira, a ko rerekē i raraunga pukapuka.
kaiako University i roto i tenei whakaaro, ko te kura nui eumiumi, ratou maha homai toku ākonga ki mai ki te mahi i nga raruraru combinatorial ki rongoā āmiki me whakamārama o ngā tikanga ake. Ki te ko koe e kore tetahi ranei te atu, ka taea e koe te ui i te tauturu i te hunga e tino mohio te rohe, me te ki te utu i te kaiwhakaako tūmataiti. Kotahi haora mātauranga he nui ki te waihanga e rave rahi mahi rite.
Combinatorics - te pūtaiao o te heke mai?
He maha ngā tohunga i roto i te mara o te pāngarau, me te ahupūngao whakapono e ko te reira raruraru combinatorial taea tīmata te whanaketanga o te pūtaiao hangarau. Kati te reira ki te huarahi kore-paerewa ki te otinga o te tahi atu mau fifi, a ka taea tatou whakahoki i te pātai e kua rave rahi senituli kataka kaiputaiao kua. Etahi o ratou tino mau tonu taua combinatorics ko te taputapu mo te pūtaiao hou katoa, rawa hōpara ātea. Ko reira nui māmā ki te tātai i te trajectory o te rere o kaipuke te whakamahi i raruraru combinatorial, rite ka whakatau ratou te wāhi tangohia o etahi tinana tiretiera.
Ko te whakatinanatanga o te huarahi kore paerewa-kua roa timata i roto i nga whenua Āhia, te wahi ki te ākonga ara mahi taketake o te whakareatanga, tangohanga, tua me te wehenga whakatau te whakamahi i ngā tikanga combinatorial. Ki te ohorere o maha pūtaiao Pākehā, tino mahi te tikanga. kura Pākehā kia tae noa timata anake ki te ako i te wheako o ratou hoa. A, no te combinatorics reira hei tetahi o nga manga nui o te pāngarau, ki te amo uaua. Na ako pūtaiao e ārahi pūtaiao o te ao e hiahia ana ki te popularize reira.
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