Luʻu i loko o ka Universe of Probability

I loko o kahi honua kahi e noho aliʻi ai ka manawa a me ka maopopo ʻole, ʻo ka hoʻomaopopo ʻana i nā kumu o ka probability e lilo i mākaukau koʻikoʻi. ʻO kēia hoʻokumu, mau hola 12, hāʻawi iā ʻoe i ka hoʻomaʻamaʻa piha ʻana i ka honua hoihoi o ka hiki. Mai ka hoʻomaka ʻana, e hoʻolauna ʻia ʻoe i nā mea e pili ana i ka manawa kūpono, kahi kumuhana i hoʻopio mau i ka noʻonoʻo kanaka.

Hoʻonohonoho ʻia ka papa ma ke ʻano e hāʻawi iā ʻoe i kahi ala mua i nā manaʻo koʻikoʻi o ka probability. E aʻo ʻoe e pili ana i kahi hanana, kahi hoʻololi maʻamau, a me ke kānāwai o ka probability. Eia kekahi, e ʻike ʻoe pehea e hana ai i nā ʻano like ʻole a pehea e wehewehe ai i ke kānāwai kaulana o nā helu nui.

Inā makemake ʻoe i ke kālā, biology, a i ʻole piliwaiwai, e hāʻawi kēia aʻo iā ʻoe i nā kī e hoʻomaopopo maikaʻi i ka honua a puni ʻoe. E mākaukau e ʻike i nā probabilities ma o nā hiʻohiʻona maʻalahi, akā hōʻike ʻia, e hōʻike ana iā ʻoe he ākea a ʻokoʻa nā kahua o ka noi.

He huakaʻi i ka puʻuwai o nā manaʻo nui

Ma kēia hoʻomaʻamaʻa ʻana, e alakaʻi ʻia ʻoe e Reza Hatami, he kumu makemakika akamai e hana ana ma kekahi mau ʻoihana kaulana, me ka hoʻomau ʻana o ka hoʻokumu ʻana o ENSAE-ENSAI. Me ia, e ʻimi ʻoe i nā hakahaka probabilistic, e aʻo e hoʻopunipuni i nā ʻano like ʻole a ʻike i nā pālua o nā ʻano like ʻole, ma mua o ka hoʻokomo ʻana iā ʻoe iho i nā manaʻo o ka convergence.

Hoʻokaʻawale ʻia ka papa i ʻehā mau ʻāpana nui, kēlā me kēia e kālele ana i kahi ʻano koʻikoʻi o ka probability. Ma ka ʻāpana mua, e ʻimi ʻoe i nā manaʻo kumu o ka probability, e aʻo pehea e helu ai i ka probability a hoʻomaopopo i nā probabilities conditional. ʻO ka ʻaoʻao ʻelua e hoʻolauna iā ʻoe i nā ʻano like ʻole, ke kānāwai o ka probability, a hoʻomaʻamaʻa iā ʻoe i nā manaʻo o ka manaʻolana a me ka ʻokoʻa.

Ke holomua nei ʻoe, ʻo ka Māhele XNUMX e hoʻolauna iā ʻoe i nā manaʻo o ka torque a me ke kūʻokoʻa, a me nā manaʻo o ka covariance a me ka linear correlation. ʻO ka hope, ʻo ka hapa ʻehā e ʻae iā ʻoe e hoʻomaopopo i ke kānāwai nāwaliwali o nā helu nui a me ka theorem palena waena, nā manaʻo i ka puʻuwai o ke kumumanaʻo probability.

E hoʻomākaukau no kahi hoʻonaʻauao hoʻonaʻauao ʻaʻole e hoʻoikaika wale i kāu mau kumu matematika, akā wehe pū kekahi i nā puka i kahi lehulehu o nā wahi kahi e hana nui ai ka probability.

ʻO ka wehe ʻana i ka ʻoihana a me ka hoʻonaʻauao

Ke holomua nei ʻoe ma kēia hoʻomaʻamaʻa ʻana, e hoʻomaka ana ʻoe e ʻike i ka hopena kūpono a me ka ʻoihana o nā manaʻo āu e aʻo nei. ʻAʻole wale ke kumuhana o ka haʻawina hoʻonaʻauao, he mea hana ikaika ia i hoʻohana ʻia ma nā ʻano like ʻole e like me ke kālā, ka lāʻau lapaʻau, ka helu, a me ka piliwaiwai.

Na nā mākau i aʻo ʻia ma kēia papa e hoʻomākaukau iā ʻoe e hoʻokokoke i nā pilikia paʻakikī o ka honua maoli me kahi hiʻohiʻona hou. Inā ʻoe e noʻonoʻo nei i kahi ʻoihana i ka noiʻi, ka nānā ʻana i ka ʻikepili, a i ʻole ke aʻo ʻana, ʻo ka ʻike paʻa o ka hiki ke lilo i hoa pili.

Akā ʻaʻole ʻo ia wale nō. Hāʻawi ka hoʻomaʻamaʻa iā ʻoe i kahi manawa kūʻokoʻa e hoʻopili a launa pū me kahi kaiāulu o nā haumāna like like. Hiki iā ʻoe ke hoʻololi i nā manaʻo, kūkākūkā i nā manaʻo a me ka hui pū ʻana i nā papahana, e hana ana i kahi pūnaewele waiwai no kāu ʻoihana e hiki mai ana.

I ka pōkole, ʻaʻole hāʻawi kēia aʻo ʻana iā ʻoe i ka ʻike theoretical. Manaʻo ia e hoʻolako iā ʻoe me nā mākau kūpono a me ka ʻupena e pono ai e ʻoi aku ka maikaʻi ma kāu kahua i koho ʻia, e hoʻolilo iā ʻoe ʻaʻole wale he haumāna i ʻike maikaʻi ʻia, akā he ʻoihana mākaukau a ʻimi ʻia i ka mākeke hana o kēia lā.