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Dichotomy hanyar

A dichotomy a cikin translation daga Girkanci nufin "to subdivide cikin biyu" ko "biyuntakar". Dichotomy quite nasarar amfani da lissafi da kuma dabaru ga rarrabuwa da abubuwa, da kuma a cikin falsafa da kuma harsuna, - ta samar da wata sub-lokaci, iri dabam dabam.

dichotomy hanya ya kamata a iya bambanta daga al'ada rabo. Alal misali, kalmar nan "mutum" za a iya raba manufar "namiji" da "mace", kuma za a iya raba "namiji" da "ba wani mutum". Saboda haka, a farkon yanayin, biyu Concepts ba da sabanin, don haka babu wani dichotomy. A karo na biyu idan, da "mutum" da kuma "ba wani mutum" - biyu ma'anar wanda musanta juna, kuma kada ku rarraba, kuma wannan ne definition na dichotomy.

dichotomy Hanyar ne m da sauki, tun da shi ne ko da yaushe ba kawai biyu azuzuwan da suke tikis adadin da rara ra'ayi. A wasu kalmomin, da rabo ne ko da yaushe ba dichotomous proportionality. A ci gaba da asali alama ne da kawar da juna da rarraba memba saboda gaskiyar cewa kowane divisible sa za a iya isa kawai a daya daga cikin azuzuwan "b" ko "ba b", da kuma division ne da za'ayi daya kawai tushe dangantaka da gaban ko babu wani musamman alama.

Domin duk ta isa yabo dichotomy hanya yana cikin hasara na rashin tabbas da cewa na shi wanda yana da barbashi "ba". Alal misali, idan duk da masana kimiyya ya kasu kashi lissafi da lissafi, sa'an nan dangi zuwa na biyu kungiyar akwai wani shubuha. Bayan wannan hasara, akwai wani, kunsha a kafa wani wuya ra'ayi, sabanin na farko darajar, da mataki na kau na farko biyu.

Kamar yadda aka ambata a sama, da dichotomy ne sau da yawa amfani a matsayin agaji a kassa karbar duk wani Concepts. dichotomy Hanyar ne rayayye amfani domin gano tsare ta wasu sharudda dabi'u na ayyuka (misali, a kwatanta da matsakaicin ko m).

Popular sau da yawa rashin sani amfani Hanyar dichotomy algorithm wanda a zahiri matakai za a iya bayyana. Alal misali, wasan "Tsammani da lambar" daya player yana zaton lamba jere daga 1 zuwa 100, da kuma wasu da ke sa shi ƙoƙarin tsammani bisa alamu "kasa" ko "mafi girma" da farko. Idan ka yi tunãni Azancin, kamar yadda na farko da lambar da aka yaushe kira 50, kuma a cikin akwati na boye kasa - 25 more - 75. Saboda haka, kowane mataki na rashin tabbas na boye lamba an rage zuwa rabin, har ma da unluckiest mutumin ƙiri ne ba a sani ba a game da 7 yunkurin.

Lokacin amfani da hanyar na dichotomy a warware daban-daban lissafai samun 'yancin bayani mai yiwuwa ne kawai a lokacin da shi da aka sani kawai a sami tushen a kan ba tazara. Wannan ba ya nufin cewa amfani da wannan hanya shi ne zai yiwu a sami tushen kawai mikakke lissafai. A hukuncin da wata babbar-domin lissafai ta amfani da hanyar na bisection dole ne farko raba da tushen da segments. A tsari na rabuwa daga gare aka yi da gano da farko da na biyu Kalam na aiki samu lissafai da equating sifili (f '(x) = 0, f' '(x) = 0). A mataki na gaba shi ne domin sanin da dabi'u na f (x) a cikin iyaka da m maki. A sakamakon lissafin ne tazara | wani, b |, wanda da dabi'u na aiki canje-canje hannu da kuma inda f (a) * f (b) <0.

A lokacin da la'akari da zana hanya domin magance lissafi amfani da dichotomy algorithm bayani ne quite sauki. Alal misali, akwai wani sashi | wani, b |, a cikin abin da akwai daya tushen x.

A mataki na farko ne da lissafi na algebraic talakawan x = (a + b) / 2. nana lasafta darajar da aiki a wancan batu. Idan f (x) <0, sa'an nan [a, x], in ba haka ba - [x, b]. Saboda haka, tazara takaita aka yi, a cikin abin da aka kafa a wasu jerin x. A lissafi yana tsayawa lokacin da bambanci a Ba kuskure.

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