Lissafin Lissafi

Madaidaici Interpolation Kalkuleta

Wannan kalkuleta na kan layi kyauta yana ƙididdige tsaka-tsakin mizani da madaidaicin madaidaicin. Hakanan yana ba da gangaren ma'aunin layi.

Lissafin interpolation na layi

Abubuwan da ke ciki

Menene interpolation?
Menene tsaka-tsakin layi?
Menene dabarar interpolation na layi?
Menene ma'anar extrapolation na layi?
Yadda ake amfani da kalkuleta na interpolation na layi?
Yadda ake fitar da ruwa ta amfani da wannan kalkuleta?
Ana fitar da bayanai ta amfani da bayanan da suka gabata da ake kira interpolation. Misali, a cikin kasuwar hannun jari, zaku iya bayyana cewa farashin ya tashi da kashi 10 cikin 100 a cikin shekarar da ta gabata, don haka zaku iya fitar da cewa hannun jari zai sami kashi 10 cikin 100 a cikin shekara mai zuwa. A hakikanin gaskiya, wannan bazai zama al'amarin ba, amma misali ne na interpolation bisa bayanan baya.

Menene interpolation?

Interpolation wani tsari ne wanda ke ba ku damar fitar da bayanai daga jerin maki. Ana iya amfani da shi don ƙirƙirar lanƙwasa ko taswira, ko don kimanta ƙimar data ɓace. Haɗin kai yana da amfani don dalilai daban-daban, gami da nazarin alƙaluma, hasashen kasuwanci da nazarin kimiyya. A cikin wannan gidan yanar gizon, za mu tattauna wasu nau'ikan interpolation na yau da kullun da yadda suke aiki. Don haka karantawa don ƙarin koyo!

Menene tsaka-tsakin layi?

Matsakaicin layi yana da sauƙin fahimta tare da misali. Ka yi tunanin cewa kuna yin burodi kuma kuna son gano kukis nawa kuke samu don wani adadin fulawa. Da farko kun yi amfani da gram 400 na gari, kuma kun sami kukis 20. A karo na biyu ka yi amfani da 200 grams na gari da kuma samun 10 kukis. A karo na uku kuna da gram 250 na gari, amma kuna son bincika a gaba nawa kukis nawa za ku iya samu. Idan dangantakar da ke tsakanin adadin gari da adadin kukis ya kasance mai layi, za ku iya gano sakamakon ta amfani da tsaka-tsakin layi!
Idan kuna ƙoƙarin neman ƙimar da ba ta cikin yankin da aka gwada ba, ana kiranta extrapolation na layi. A wannan yanayin zai iya zama kilo daya na gari.
Ƙara koyo game da tsaka-tsakin layi

Menene dabarar interpolation na layi?

Idan kana son nemo 'y', dabarar interpolation na layi shine mai zuwa:
y = (x - x₁) * (y₂ - y₁) / (x₂ - x₁) + y₁
A cikin wannan ma'auni:
(x₁, y₁) = coordinates of the first data point
(x₂, y₂) = coordinates of the first data point
(x, y) = coordinates of the result point

Menene ma'anar extrapolation na layi?

Ma'auni don fitar da linzamin kwamfuta iri ɗaya ne tare da dabarar tsaka-tsakin layi. Abinda kawai kuke buƙatar kiyayewa shine lokacin amfani da fitar da linzamin kwamfuta, sau da yawa ba a tabbatar da sakamakon ta bayanan gwaji ba. Don haka kuna buƙatar tabbatar da cewa alaƙar da ke tsakanin wuraren bayanan ku na layi ne kafin ku yi amfani da fitar da linzamin kwamfuta.
Misalin tsaka-tsakin layi

Yadda ake amfani da kalkuleta na interpolation na layi?

Za mu iya amfani da misalin kuki don ƙima a cikin kalkuleta. Don haka muna gano kukis nawa za mu iya toya da gram 150 na gari?
x₁ = 400
y₁ = 20
x₂ = 200
y₂ = 10
x = 250
Cika waɗannan ƙimar zuwa kalkuleta. Ya kamata ku ga sakamakon:
y = 12.5
Kalkuleta na tsaka-tsaki na linzamin zai kuma lissafta muku gangara na ma'auni.

Yadda ake fitar da ruwa ta amfani da wannan kalkuleta?

Hakanan zaka iya amfani da wannan na'ura mai ƙididdigewa ta tsaka-tsaki na linzamin kwamfuta kuma don fitar da linzamin kwamfuta! Kawai cika duk dabi'u kamar yadda za ku yi in ba haka ba, kuma kuna samun sakamakon fitar da layi.

John Cruz
Mawallafin labarin
John Cruz
John dalibi ne na PhD tare da sha'awar ilimin lissafi da ilimi. A lokacin hutunsa John yana son yin yawo da keke.

Madaidaici Interpolation Kalkuleta Harshen
Buga: Wed Sep 29 2021
Sabbin sabuntawa: Fri Aug 12 2022
A cikin rukuni Lissafin lissafi
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