Makemakika Kula Kiʻekiʻe

ʻO ka Huaʻōlelo Vector, ka Notation, a me nā ʻAno: I ke kūkākūkā ʻana i ka makemakika, ka physics, a me ka ʻepekema kamepiula, ʻo ke kumumanaʻo o nā vectors he mea koʻikoʻi pinepine ia e hoʻomaopopo. ʻAʻole wale nā ​​​​vectors he manaʻo abstract; pili lākou i nā kūlana hana like ʻole, e like me ka nānā ʻana i ka ʻikepili, nā kiʻi kamepiula, a me nā simulations physics. Ma kēia ʻatikala, e kūkākūkā mākou i ka huaʻōlelo vector a me ka notation, … E heluhelu hou aku

ʻO nā Vectors a me kā lākou hana ʻO nā Vectors kahi manaʻo nui i ka makemakika a me ka physics, me nā noi ākea ma nā ʻano ʻepekema a me ka ʻenehana like ʻole. ʻAʻole koʻikoʻi wale ka manaʻo o nā vectors no ka hoʻomaopopo ʻana i nā wahi geometric akā he kuleana koʻikoʻi nō hoʻi i ka nānā ʻana i ka ʻikepili, ka hoʻonui ʻana, a me ka naʻauao artificial. E kūkākūkā kēia ʻatikala i ke kumumanaʻo o nā vectors, ko lākou mau waiwai, a me nā ʻano like ʻole… E heluhelu hou aku

Nā Moʻo Geometric Pau ʻole: He Hoʻolauna ʻImi Makemakika Ma ka makemakika, he kuleana koʻikoʻi ko ke kumumanaʻo o nā moʻo, ma nā noi hana a me ka hoʻomaopopo kumumanaʻo. ʻO kahi ʻano moʻo hoihoi e aʻo ai ʻo ia ka moʻo geometric, a ʻoi aku hoʻi, he mau waiwai kū hoʻokahi a hoihoi nā moʻo geometric pau ʻole. E ʻimi pono kēia ʻatikala i nā manaʻo kumu, … E heluhelu hou aku

Nā Moʻo Geometric: Nā Manaʻo, nā Waiwai, a me nā Noi Hoʻolauna ʻO ka makemakika, me kona nani a me ka paʻakikī, hōʻike pinepine i nā ʻano manaʻo hoihoi me nā noi hana maoli. ʻO kekahi manaʻo e pāʻani ana i kahi kuleana koʻikoʻi i ka makemakika a me kāna mau noi ʻo ia ka moʻo geometric. Hāʻawi nā moʻo Geometric i kahi ala e hoʻomaopopo ai a kālailai i nā hanana e ulu nui ana a i ʻole… E heluhelu hou aku

Moʻo Arithmetic ʻO kahi moʻo arithmetic, i kapa pinepine ʻia he moʻo helu linear, he manaʻo nui ia i ka makemakika me nā noi he nui i ke ola o kēlā me kēia lā. ʻOiai kona maʻalahi, he mea hoihoi nui nā moʻo arithmetic i nā ʻano ʻepekema like ʻole, mai ka makemakika a i ka hoʻokele waiwai a me ka ʻepekema kamepiula. Wehewehena o kahi Moʻo Arithmetic Ma keʻano laulā, he moʻo arithmetic… E heluhelu hou aku

Nā Moʻo Geometric: Manaʻo, Nā Hoʻohana, a me nā Laʻana Hoʻolauna ʻO nā moʻo geometric kahi manaʻo kumu i ka makemakika nona nā noi ākea ma nā ʻano like ʻole, me ka hoʻokele waiwai, ka physics, ka biology, a me ka ʻenekinia. Ma kēia ʻatikala, e kūkākūkā mākou i ka wehewehe ʻana, nā waiwai, a me nā noi o nā moʻo geometric, a me kekahi mau laʻana e wehewehe i ko mākou ʻike. Wehewehena o kahi Moʻo Geometric ʻO kahi moʻo geometric… Heluhelu hou aku

Nā Kaʻina Helu: He Kumu Maʻalahi akā Koʻikoʻi o ka Makemakika ʻO nā kaʻina helu he manaʻo nui i ka makemakika nona nā noi ākea ma nā ʻano like ʻole, me ka ʻepekema, ka hoʻokele waiwai, a me ka ʻenekinia. Ma ke ʻano he ʻano kaʻina helu, hāʻawi nā kaʻina helu i kahi ʻike piha o ke ʻano o ka pili ʻana o nā helu kekahi i kekahi ma o nā hana helu kumu, ʻo ia hoʻi… Heluhelu hou aku

Nā Kaʻina a me nā Moʻo: Wehewehena, ʻAno, a me nā Hoʻohana ʻO nā kaʻina a me nā moʻo he mau manaʻo nui i ka makemakika me nā noi ākea ma nā ʻano like ʻole, mai ke kālā a i ka ʻepekema kamepiula. ʻOiai e pili kokoke ana, he mau ʻano a me nā noi like ʻole kēia mau manaʻo ʻelua. E ʻeli hohonu kēia ʻatikala i nā kaʻina a me nā moʻo, me kā lākou wehewehe ʻana, nā ʻano, a me nā noi… E heluhelu hou aku

— Nā Waiwai o nā Logarithms: Ke ʻimi nei i ke kilokilo o nā Logarithms i ka makemakika He manaʻo nui nā Logarithms i ka makemakika e pāʻani ana i kahi kuleana koʻikoʻi ma nā ʻano like ʻole, mai ke kumumanaʻo helu a hiki i ka nānā ʻikepili i nā helu helu. Ua hoʻokumu ʻia ke kumumanaʻo o nā logarithms e John Napier i ka hoʻomaka ʻana o ke kenekulia 17 ma ke ʻano he mea hana e hoʻomaʻalahi i nā helu hoʻonui a me ka mahele paʻakikī. Ma … E heluhelu hou aku

Wehewehena o Logarithm: ʻO Logarithm kahi manaʻo makemakika me nā noi he nui ma nā ʻano like ʻole, me ka ʻepekema, ka ʻenekinia, ke kālā, a me ka ʻenehana ʻike. ʻO ke kumu, ʻo ka logarithm ka inverse o kahi exponent (mana). Ma kēia ʻatikala, e wehewehe mākou i ka wehewehena o ka logarithm, kona mōʻaukala, ka hōʻailona maʻamau a me ka hoʻohana ʻana, a me nā noi kūpono i ke ola o kēlā me kēia lā. Mōʻaukala o Logarithms Logarithms… E heluhelu hou aku