Ulwimi lweAlgebra

Umxholo

• Imizekelo yezibalo zealgebra
• Iimpawu zolwimi lwealgebra

Inkqubo ye- Ulwimi lweAlgebra Yeyona ivumela ukuvakalisa ubudlelwane bemathematika. Izinto ezenza ulwimi lwealgebra zinokuthatha amanani, oonobumba okanye ezinye iintlobo zabasebenzi bemathematika.

Inkqubela phambili enkulu ethe yaphunyezwa kwicandelo le Uhlalutyo lwemathematika, i-algebra kunye nejometri ngekhe bacinge ngaphandle kolwimi oluqhelekileyo, olwenziweyo olubonisa ubudlelwane ngendlela engacacanga kunye neyendalo iphela. Ukubonwa ngale ndlela, ulwimi lwe-algebraic luququzelela ukukhutshwa ngokufanelekileyo isayensi esesikweni.

Imizekelo yezibalo zealgebra

Nayi eminye imizekelo yeentetho kulwimi lwealgebra:

1. I-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. * 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

Iimpawu zolwimi lwealgebra

Kwiimeko ezithile zokulinganisa, i 'Engaziwayo', Bazintoni oonobumba abanokutshintshwa naliphi na inani, kodwa zilungelelaniswe neemfuno ze-equation ziyancitshiswa ziye kwenye okanye ezimbalwa.

Kwindaba ye ukungalingani, utshintsho phakathi konxibelelwano 'olinganayo' ukuya kwelinye 'elikhulu' okanye 'ngaphantsi' kuthetha ukuba endaweni yokufumana iziphumo ezizodwa, sifumana uluhlu lwempendulo.

Okokugqibela, kufuneka kuqondwe ukuba ngaphambi kokusekwa kobudlelwane ngokubanzi, amanye amanani anokungakwazi ukuthobela: a Icandelo A / B (i-quotient yawo nawaphi na amanani amabini), inombolo engu-0 ayifani kwaye ayinakuba lixabiso lika-'B '.

Ulwimi lwe-algebra luyondla ngu izixhobo ezahlukeneyo zokwenza lula umsebenzi wohlalutyo lwemathematika, kwaye uqikelela ezinye iinyani. Ke, umzekelo, ngokungabikho kophawu phakathi kweeyunithi ezimbini, kucingelwa ukuba ezi yunithi ziyanda.

Yiyo loo nto i 'for' sign ebonakaliswe njengo 'X' okanye ' *' inokukhutshelwa ngaphandle, kunjalo ke imveliso iya kuthathwa. Kwelinye icala, ubudlelwane bunokubonakaliswa ngeendlela ezahlukeneyo.

Ukusebenza ngokuchaseneyo kwezinto ezinokubakho kukuphanga (njengoku, umzekelo, ingcambu yesikwere); Zonke iinkcazo zolu hlobo zingabhalwa njengamagunya, kodwa nge-fractional exponent. Yiyo loo nto usithi 'ingcambu ka-A' iyafana nokuthi 'Uphakanyiselwe ku ½'.

Umsebenzi owongezelelweyo wolwimi lwe-algebraic, ethe kratya ngakumbi kunolwalamano olulula phakathi kwamaxabiso okanye okungaziwayo, koko kuvela kwisakhelo semisebenzi: olu lwimi lulo yenza umbono wokuqala wokuba zeziphi izinto eziya kuzimela kwaye ziya kuxhomekeka, kwimeko yobudlelwane obunokumelwa ngokomfanekiso. Oku kusetyenziswa kakhulu kummandla wesayensi ezininzi ezibandakanya imathematika.