Kev Kawm Lej Hauv Tsev Kawm Ntawv Theem Siab

Piv txwv teeb meem tham txog tus nqi xav tau ntawm kev faib tawm ib txwm muaj Kev faib tawm ib txwm muaj, tseem hu ua Gaussian faib tawm, yog ib qho ntawm cov kev faib tawm qhov muaj feem ntau siv hauv kev suav lej thiab qhov muaj feem yuav muaj. Kev faib tawm no feem ntau siv ua qhov kev xav yooj yim hauv ntau yam kev suav lej vim nws cov khoom lej zoo, xws li kev sib npaug thiab nws qhov tshwj xeeb hauv kev teeb tsa nrog qhov nruab nrab (µ) thiab kev hloov pauv tus qauv… Nyeem ntxiv

Cov Lus Nug Piv Txwv thiab Kev Sib Tham Txog Kev Ua Haujlwm Faib Tawm Ib Txwm Kev faib tawm ib txwm muaj, tseem hu ua Gaussian faib tawm, yog ib qho ntawm cov kev faib tawm qhov tshwm sim tseem ceeb tshaj plaws hauv kev suav lej thiab kev tshuaj xyuas cov ntaub ntawv. Qhov kev faib tawm no yog tus cwj pwm los ntawm cov kab nkhaus symmetrical nyob ib puag ncig qhov nruab nrab, nrog rau cov ntaub ntawv kis tau qhia txog qhov sib txawv ntawm cov nqi nyob ib puag ncig nws. … Nyeem ntxiv

Cov Lus Nug Piv Txwv Txog Kev Faib Tawm Ib Txwm: Kev faib tawm ib txwm, tseem hu ua Gaussian faib tawm, yog qhov feem ntau siv faib tawm qhov muaj feem cuam tshuam hauv kev suav lej. Qhov kev faib tawm no muaj lub ntsej muag zoo li lub tswb, qhia tias cov ntaub ntawv tau teeb tsa ib puag ncig qhov nruab nrab thiab qhov muaj feem cuam tshuam ntawm qhov kawg (tus nqi deb ntawm qhov nruab nrab) yog qis. Hauv tsab xov xwm no, peb yuav tham txog ntau yam lus nug piv txwv… Nyeem ntxiv

Piv txwv teeb meem tham txog tus nqi xav tau ntawm Binomial Faib tawm Qhov kev faib tawm binomial yog kev faib tawm sib cais uas feem ntau siv hauv kev suav lej los piav qhia txog qhov muaj feem yuav muaj tus lej ntawm kev vam meej hauv ntau qhov kev sim ua ywj pheej. Qhov kev faib tawm no muaj txiaj ntsig zoo heev hauv ntau qhov chaw, xws li kev lag luam, biology, thiab kev kawm txog zej zog. Ib lub tswv yim tseem ceeb uas yuav tsum nkag siab hauv kev faib tawm binomial… Nyeem ntxiv

Cov Lus Nug Piv Txwv Sib Tham Txog Kev Ua Haujlwm Faib Tawm Binomial Kev faib tawm binomial yog kev faib tawm qhov muaj feem cuam tshuam uas piav qhia txog tus lej ntawm kev ua tiav hauv kev sim uas muaj ntau qhov kev sim ywj pheej nrog ob qhov tshwm sim: kev ua tiav thiab kev ua tsis tiav. Txhua qhov kev sim hu ua kev sim, thiab kev faib tawm binomial feem ntau siv rau hauv cov xwm txheej uas tus lej ntawm kev ua tiav los ntawm ntau qhov kev sim ywj pheej yog… Nyeem ntxiv

Piv txwv teeb meem thiab kev sib tham txog kev faib tawm binomial Kev faib tawm binomial yog ib qho ntawm cov kev faib tawm discrete probability feem ntau siv. Nws muaj txiaj ntsig zoo rau kev ua qauv rau tus lej ntawm kev vam meej hauv ntau qhov kev sim zoo sib xws thiab ywj pheej, txhua qhov uas ua rau muaj kev vam meej lossis kev ua tsis tiav. Hauv tsab xov xwm no, peb yuav nkag mus tob dua rau hauv kev faib tawm binomial los ntawm kev muab ntau yam piv txwv teeb meem… Nyeem ntxiv

Kev Sib Tham Txog Teeb Meem Piv Txwv Txog Kev Faib Tawm Sib Xws Kev faib tawm sib xws yog ib qho ntawm cov hom kev faib tawm yooj yim tshaj plaws hauv kev suav lej. Nws muab faib ua ob hom tseem ceeb: kev faib tawm sib xws thiab kev faib tawm sib xws tas mus li. Hauv tsab xov xwm no, peb yuav tham txog ob hom kev faib tawm sib xws, muab piv txwv ntawm cov teeb meem, thiab sib tham txog cov kev daws teeb meem no. Kev faib tawm sib xws… Nyeem ntxiv

Cov Lus Nug Piv Txwv Txog Kev Tshawb Fawb Txog Cov Ntaub Ntawv thiab Kev Tshawb Fawb Txog Qhov Yuav Muaj Peev Xwm Kev tshawb fawb txog cov ntaub ntawv thiab kev tshawb fawb txog qhov yuav muaj peev xwm yog ob qho chaw uas feem ntau ntsib hauv ntau yam kev qhuab qhia, tshwj xeeb tshaj yog kev suav lej, lej, kev lag luam, thiab kev tshawb fawb txog kev ua lag luam. Hauv tsab xov xwm no, peb yuav tham txog ntau cov lus nug piv txwv thiab kev sib tham txog kev tshawb fawb txog cov ntaub ntawv thiab kev tshawb fawb txog qhov yuav muaj peev xwm kom peb nkag siab tob txog cov ntsiab lus tseem ceeb no. 1. Kev Tshawb Fawb… Nyeem ntxiv

Piv txwv teeb meem sib tham txog kev siv cov Integrals hauv Physics Kev siv cov integrals hauv physics yog ib lub tswv yim tseem ceeb thiab dav heev. Kev siv cov integrals tso cai rau cov kws kho mob thiab cov engineers los xam ntau yam xwm txheej ntuj tsim, txawm tias cuam tshuam nrog kev txav mus los, lub zog, lub zog, lossis ntau yam ntxiv. Tsab xov xwm no yuav tshawb nrhiav ntau yam piv txwv teeb meem thiab lawv cov kev sib tham… Nyeem ntxiv

Cov Lus Nug Piv Txwv Sib Tham Txog Kev Siv Cov Integrals Hauv Kev Lag Luam thiab Kev Lag Luam Kev Taw Qhia Integrals yog lub tswv yim tseem ceeb hauv kev xam lej thiab muaj ntau daim ntawv thov hauv ntau qhov chaw, suav nrog kev lag luam thiab kev lag luam. Hauv cov ntsiab lus no, integrals feem ntau siv los tshuaj xyuas tag nrho cov nyiaj tau los, tus nqi, cov nyiaj tau los, thiab kev siv thiab kev tsim khoom. Nkag siab txog kev siv cov integrals hauv kev lag luam thiab kev lag luam… Nyeem ntxiv