Wadatacce
The Harshen Algebraic Shi ne wanda ke ba da damar bayyana alaƙar lissafi. Abubuwan da suka ƙunshi yaren algebraic na iya ɗaukar sifar lambobi, haruffa ko wasu nau'ikan masu aikin lissafi.
Babban ci gaban da aka samu a fagen nazarin lissafi, algebra da geometry da ba za a iya tunanin su ba ba tare da na gama -gari ba, harshe na roba wanda ke bayyana alaƙa ta hanyar da ba ta dace ba da ta duniya. Ana gani ta wannan hanyar, yaren algebraic yana sauƙaƙe abubuwan da suka dace ilimin kimiyya.
Misalan maganganun algebra
Ga wasu misalai na maganganu cikin yaren aljebraic:
- 5 (A + B)
- XY
- 52
- 3X-5Y
- (2X)5
- (5X)1/2
- F (X) = Y2
- 96
- 121/7
- 1010
- (A + B)2
- 100-X = 55
- 6 * C + 4 * D = C2 + D2
- F (X, Y, Z) = (A, B)
- 3*8
- 112
- F (X) = 5
- (A + B)3/ (A + B)
- LN (5X)
- y = a + bx
Halaye na yaren algebra
A lokuta na musamman na lissafin, da 'Ba a sani ba', Menene su haruffa waɗanda za a iya maye gurbinsu da kowane lamba, amma an daidaita su zuwa bukatun lissafin an rage su zuwa ɗaya ko kaɗan.
Dangane da rashin daidaituwa, canji tsakanin alaƙar 'daidai' da ɗayan 'mafi girma' ko 'ƙasa' yana nufin cewa maimakon samun sakamako na musamman, muna samun kewayon amsa.
A ƙarshe, dole ne a fahimci cewa kafin kafa alaƙar gabaɗaya, wasu lambobi ba za su iya biyan su ba: a rarraba A / B (jimlar kowane lambobi biyu), lambar 0 banda ce kuma wannan ba zai iya zama darajar 'B' ba.
Harshen aljebraic yana ciyar da wani kayan aiki iri -iri don sauƙaƙe aikin nazarin lissafi, kuma yana hasashen wasu abubuwan. Don haka, misali, idan babu alamar tsakanin raka'a biyu, ana ɗauka cewa waɗannan raka'a suna ninkawa.
Don haka, alamar 'don' da aka bayyana a matsayin 'X' ko ' *' za a iya tsallake, duk da haka za a ɗauka aikin samfurin. A gefe guda, wasu alaƙar za a iya bayyana su ta hanyoyi daban -daban.
Kishiyar aiki na ƙarfin shine radication (kamar, alal misali, tushen murabba'i); duk maganganun irin wannan kuma ana iya rubuta su azaman iko, amma tare da ƙaramin juzu'i. Don haka, faɗin 'tushen murabba'in A' daidai yake da faɗi 'A tashi zuwa ½'.
Ƙarin aikin yaren algebraic, ɗan ɗan ƙarin bayani fiye da sauƙin alaƙa tsakanin ƙimomi ko abubuwan da ba a sani ba, shine abin da ke tasowa a cikin tsarin ayyuka: wannan harshe shine wanda yana ba da ra'ayi na farko wanda masu canji za su kasance masu zaman kansu kuma waɗanda za su dogara, a cikin yanayin alaƙar da za a iya wakilta ta hoto. Wannan yana da fa'ida sosai a fagen yawancin ilimin kimiyyar da ya shafi ilimin lissafi.
