The Kimanin Int (f(x), x = a.. b, hanya = simpson [3/8], opts) umarni kimanin jigon f(x) daga a zuwa b ta amfani da ka'idar Simpson's 3/8. Wannan dokar kuma ana kiranta da dokar Newton's 3/8.
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f (x) | - | furcin algebra a cikin m 'x' |
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a,b | - | maganganun algebra; saka tazara |
Hakazalika, Menene tsarin Simpson na 1/3rd? A cikin bincike na lamba, ka'idar Simpson 1/3 ita ce hanya don ƙididdige ƙididdiga na takamaiman abubuwan haɗin kai. Musamman, ita ce ƙimayar mai zuwa: A cikin Dokar 1/3 ta Simpson, muna amfani da parabolas don kusantar kowane ɓangare na lanƙwasa. Muna rarraba. yankin zuwa n daidai sassan faɗin Δx.
Menene bambanci tsakanin mulkin Simpson na 1/3 da 3/8? Simpson ta 3/8 mulki yayi kama da mulkin Simpson na 1/3, kawai bambanci shine, ga ka'idar 3/8, interpolant shine nau'in nau'in nau'in nau'i. Kodayake dokar 3/8 tana amfani da ƙarin ƙimar aiki ɗaya, kusan sau biyu daidai yake da ka'idar 1/3.
Menene mulkin Weddle? Dokokin Bikin aure shine hanyar haɗin kai, dabarar Newton-Cotes tare da N=6. GABATARWA: Haɗin kai na lambobi shine tsarin ƙididdige ƙimar tabbataccen haɗin kai daga saitin ƙimar lambobi na haɗin kai. A wasu lokuta ana kiran tsarin azaman quadrature na inji.
Na biyu Lokacin da muka yi amfani da tsarin Simpson S 3 8 adadin tazara N dole ne ya zama? Don Simpsons (3/8)th dokokin da za a yi amfani da su, N dole ne yawan 3.
Ta yaya kuke amfani da dokar Simpsons 1/3?
to menene N a mulkin Simpson? Dokokin Simpson. Shafi na 1. Dokar Simpsons. Wannan hanya sau da yawa yana haifar da sakamako mai kyau fiye da tsarin trapezoidal. Muna sake raba yankin da ke ƙarƙashin lanƙwasa cikin n daidai sassa, amma don wannan doka n dole ne ya zama lamba ɗaya domin muna ƙididdige yankuna na faɗin 2Δx.
Shin tsarin mulkin Simpson ya fi dacewa koyaushe? Gabatarwa zuwa Hanyoyi Lambobi
Dokar Simpson hanya ce ta haɗa lamba wacce ita ce a Kyakkyawan ma'amala mafi daidaito fiye da tsarin trapezoidal, kuma yakamata a yi amfani da su koyaushe kafin ku gwada wani abu mai ban sha'awa.
Ta yaya kuke amfani da dokar Simpsons 1/3?
Wanne ne mafi girman oda mai yawa wanda ke ba da izinin tsarin Simpson na 1/3 don samun ainihin ƙimar haɗin kai? Mafi girman tsari na haɗin kai wanda tsarin Simpson na 1/3 shine daidai shine.
1) | biyu |
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2) | farko |
3) | hudu |
4) | uku |
5) | null |
Yaya kuke tunawa da dokar Bikin aure?
Menene dabarar hanyar Newton Raphson? Hanyar Newton-Raphson (wanda kuma aka sani da hanyar Newton) hanya ce ta gaggawa don nemo kyakkyawan ƙima ga tushen aiki mai ƙima. f (x) = 0 f(x) = 0 f(x) = 0. Yana amfani da ra'ayin cewa aiki mai ci gaba da banbanta na iya kusanta ta hanyar tangent madaidaiciya zuwa gare shi.
Menene ma'anar tsarin mulkin trapezoidal?
Dokar Trapezoidal
T n = 1 2 Δ x (f ( x 0 ) + 2 f ( x 1 ) + 2 f ( x 2 ) + ⋯ + 2 f ( xn - 1 ) + f ( xn ) .
Menene tsarin mulkin Simpson ya ba da sakamako daidai?
Tun da yake yana amfani da nau'ikan nau'i-nau'i don kusan ayyuka, mulkin Simpson yana ba da sakamako daidai. lokacin da ake kusantar integrals na polynomials har zuwa digirin cubic.
Ta yaya kuke samun K a cikin mulkin Simpsons?
Menene M a cikin mulkin Simpsons?
Ta yaya kuke samun h a cikin mulkin Simpsons?
A cikin wannan doka, N shine madaidaicin lamba kuma h = (b-a) / N. Ma'aunin y shine aikin da aka kimanta akan ƙimar x daidai da sarari tsakanin a da b.
Shin mulkin Simpson ya fi daidai fiye da matsakaici? A hakika, Midpoint zai iya cimma daidaiton Simpsons a babban n. Har ila yau, na gano cewa kuskure a cikin Trapezoidal kusan sau biyu kuskure ne a cikin Midpoint, bur a gaban shugabanci. Wani abu mai ban sha'awa tare da Simpsons shine cewa daidaitonsa yana inganta sosai akan n.
Wanne ya fi trapezoidal ko Simpsons?
In trapezoidal muna ɗaukar kowane tazara kamar yadda yake. A cikin simpson's muna kara raba shi kashi 2 sannan mu yi amfani da dabarar. Don haka Simpson's ya fi daidai.
Menene kuskure a cikin mulkin Simpson? Kuskuren Daure Kan Dokar Simpson: A ce |f (IV )(x)| ≤ K ga wasu k ∈ R inda. a ≤ x ≤ b. Sa'an nan. |ES| ≤ k (b - a) 5 180n4 Na yi amfani da alamar ES don nuna kuskuren da ke daure ga mulkin Simpson, ET kuskuren da ke daure ga Dokar Trapezoid, da sauransu.
Menene mai ninkawa ga mulkin Simpson na uku?
An ba mu 6 rabin-ordinates da 6 ne ma. Don haka, ba za mu iya amfani da Dokar Farko ta Simpson ba.
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Misali 1: Nemo yankin siffa mai zuwa ta amfani da Dokar Simpson:
Rabin lissafi (1) | Yawan Simpson (2) | Ayyukan Yanki (3)=(1)x(2) |
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3.5 | 3 | 10.5 |
4.5 | 3 | 13.5 |
5.0 | 1 | 5.0 |
(T otal) Σ 2 | 31.5 |
Menene dabarar kuskure don mulkin Simpson? Kamar yadda ka'idar trapezoidal ita ce matsakaicin ka'idojin hagu da dama don kimanta takamaiman abubuwan haɗin kai, ana iya samun mulkin Simpson daga tsakiya da ka'idojin trapezoidal ta amfani da matsakaicin nauyi. Ana iya nuna hakan S2n=(23)Mn+(13)Tn. Kuskure a cikin Sn≤M(b-a)5180n4.
Me yasa mulkin Simpson ya ba da sakamako daidai?
Tun da yake yana amfani da nau'ikan nau'i-nau'i don kusan ayyuka, mulkin Simpson yana ba da sakamako daidai. lokacin da ake kusantar integrals na polynomials har zuwa digirin cubic.
Menene tsari na kuskure a cikin mulkin Simpson? wanda shine ma'auni na Simpson. Kamar yadda kusantar aikin ya kasance ma'auni, tsari ya fi tsayi fiye da tsarin layi, ƙididdigar kuskuren tsarin Simpson ya kasance haka. O (h 4) ko O (h 4 f ‴) don zama ƙarin takamaiman.