Tirohia te wāhanga i raro nei, kātahi ka whakautu i te pātai i muri mai i te reo kotahi me te wāhanga:  Passage: Ko te tātaitanga o ngā rerekētanga e pā ana ki ngā mōrahi, i ngā iti rawa rānei (e kiia ana ko ngā tino) o ngā taumahi. He mahere taumahi ngā taumahi ki ngā tauine, nō reira kua whakaahuatia ngā taumahi hei "ngā taumahi o ngā taumahi". Kei ngā taumahi te tino nui e pā ana ki ngā huānga y o tētahi mokowā taumahi kua tautuhia i runga i tētahi rohe kua hoatu. Ka kīia he taumahi J [ y ] he extremum i te taumahi f ki te ΔJ = J [ y ] − J [ f ] he tohu ōrite mō ngā y katoa i roto i tētahi wāhi iti o f. Ka kīia te taumahi f he taumahi kōaro, he kōaro rānei. Ko te tino J [ f ] ka kiia he tino nui ki te ΔJ ≤ 0 i nga waahi katoa i roto i te takiwa iti o te f, me te iti rawa o te rohe ki te ΔJ ≥ 0 i reira. Mo te mokowā taumahi o ngā taumahi tonu, ka kīia ngā tino o ngā taumahi ōrite he tino ngoikore, he tino ngoikore rānei, i runga anō i te mea ko ngā tangohanga tuatahi o ngā taumahi tonu he tonu katoa, kāore rānei. Ko ngā tino ngoikore me te ngoikore o ngā taumahi e rua mō te mokowā o ngā taumahi tonu, engari ko ngā tino ngoikore he whakaritenga anō kia noho tonu ngā tangohanga tuatahi o ngā taumahi i roto i te mokowā. Na he kaha te kaha o te kaha he ngoikore ano hoki, engari kaore pea e taea te korero. He uaua ake te kimi i ngā tino kaha i te kimi i ngā tino ngoikore. He tauira o te tikanga e hiahiatia ana hei kimi i te ngoikore ngoikore ko te whārite Euler <unk> Lagrange.  Pātai: He aha tētahi atu kupu mō te nui rawa?
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