Ulimi lwe-Algebraic

-Delile

• Izibonelo zezinkulumo ze-algebraic
• Izici zolimi lwe-algebraic

I- Ulimi lwe-Algebraic Iyona evumela ukuveza ubudlelwano bezibalo. Izinto ezakha ulimi lwe-algebra zingathatha uhlobo lwezinombolo, izinhlamvu noma ezinye izinhlobo zabasebenza ngezibalo.

Intuthuko enkulu eseyenziwe emkhakheni we ukuhlaziywa kwezibalo, i-algebra ne-geometry bebengeke bacabangeke ngaphandle kolimi oluvamile, oluhlanganiswayo oluzwakalisa ubudlelwano ngendlela engavumelekile futhi yendawo yonke. Kubonwe ngale ndlela, ulimi lwe-algebra lusiza ukukhishwa okufanele isayensi ehlelekile.

Izibonelo zezinkulumo ze-algebraic

Nazi izibonelo zezinkulumo ngolimi lwe-algebraic:

1. 5 (A + B)
2. XY
3. 5²
4. 3X-5Y
5. (2X)⁵
6. (5X)^1/2
7. F (X) = Y²
8. 9⁶
9. 121/7
10. 10¹⁰
11. (A + B)²
12. 100-X = 55
13. 6 * C + 4 * D = C² + D²
14. F (X, Y, Z) = (A, B)
15. 3*8
16. 11²
17. F (X) = 5
18. (A + B)³/ (A + B)
19. I-LN (5X)
20. y = a + bx

Izici zolimi lwe-algebraic

Ezimweni ezithile zezibalo, i- 'Okungaziwa', Bayini izinhlamvu ezingashintshwa yinoma iyiphi inombolo, kepha uma zivumelaniswa nezidingo zesibalo ziyancishiswa zibe yinye noma ezimbalwa.

Uma kwenzeka kuba ukungalingani, ushintsho phakathi kobudlelwano 'bokulingana' kokunye 'kokukhulu' noma 'okuncane' kusho ukuthi esikhundleni sokuthola imiphumela ehlukile, sithola ibanga lokuphendula.

Ekugcineni, kufanele kuqondwe ukuthi ngaphambi kokusungulwa kobudlelwano obujwayelekile, ezinye izinombolo kungenzeka zingakwazi ukuhambisana nazo: ku-a ukuhlukaniswa A / B (i-quotient yanoma yiziphi izinombolo ezimbili), inombolo 0 ayifani futhi ayikwazi ukuba yinani lika-'B '.

Ulimi lwe-algebra londliwa ngu- a amathuluzi ahlukahlukene ukwenza lula umsebenzi wokuhlaziywa kwezibalo, futhi kucatshangelwa amaqiniso athile. Ngakho-ke, ngokwesibonelo, ngokungabikho kophawu phakathi kwamayunithi amabili, kucatshangwa ukuthi la manyunithi ayanda.

Ngakho-ke, uphawu lwe 'for' oluchazwe njengo 'X' noma ' *' lungashiywa, ngakho-ke umsebenzi womkhiqizo uzothathwa. Ngakolunye uhlangothi, obunye ubudlelwano bungakhonjiswa ngezindlela ezihlukile.

Ukusebenza okuhlukile kwamandla okungenzeka kungu-radication (njengoba, ngokwesibonelo, impande eyisikwele); zonke izinkulumo zalolu hlobo zingabhalwa futhi njengamandla, kepha nge-exponent engezansi. Ngakho-ke, ukusho ukuthi 'impande eyisikwele ka-A' kuyefana nokuthi 'Kuphakanyiswe ku-½'.

Umsebenzi owengeziwe wolimi lwe-algebraic, olunaba kakhulu ukwedlula ubudlelwano obulula phakathi kwamanani noma okungaziwa, yilokho okuvela ohlakeni lwemisebenzi: lolu limi yilolo inika amandla umbono oyisisekelo wokuthi yiziphi izinto eziguqukayo ezizokwazi ukuzimela futhi ezizoncika, maqondana nobudlelwano obungamelwa ngokomfanekiso. Lokhu kusetshenziswa kakhulu emkhakheni weziningi zesayensi ezibandakanya izibalo.