Ukungalingani (ngokwezibalo)

Kwi - mathematics, i-inequality lunxulumano oludibanisa noluqinisa ubudlelwane phakathi kwee-values xa zithe zahlukana zaziintsalu.

Uphawu olungu-a ≠ b kuthetha ukuthi u-a akalingani no-b.

Le ntetho ingasentla ayithi enye kwezi zimbini inkulu kunenye, kwaye ayizithelekisi nangobukhulu bazo.

Ukuba kuye kwathi kanti ezi values kuthethwa ngazo zingamalungu engqokolela yamanani ekuthiwa yi-ordered set, efana nee-intergers okanye ii-real numbers, zisenokuthelekiswa ngokobukhulu bazo.

Uphawu olungu a < b luthetha okokuba u-a ungaphantsi ku-b
Uphawu olungu a > b luthetha okokuba u-a ungaphezulu okanye mkhulu kuno b

Kulo naliphi na icala kula mabini, u-a akalingani no-b. Obu budlelwane baziwa ngokuba bubonisa ukungalingani okungqingqwa nokungqalileyo. Umzekelo wobungqingqwa siwubonaxa sisithiu-a < b usengafundekangolu hlobo "u-a ungaphantsi ku-b ngaphandle kwamathandabuzo"

Ukanti ke xa sithelekisa nokungalingani okungqalileyo, kukho iintlobo ezimbini zobudlelwane obungekho ngqingqwa ezibonakalisa ukungalingani.

Umbhalo othi a ≤ b uthetha okokuba u-a ungaphantsi/mncinane okanye ulingana no-b (okanye uyalingana, akakho ngaphezu kuka-b, or at most b); "not greater than" can also be represented by the symbol for "greater than" bisected by a vertical line, "not." (The unicode for ≤ is "U+ 2264".)
The notation a ≥ b means that a is greater than or equal to b (or, equivalently, not less than b, or at least b),; "not less than" can also be represented by the symbol for "less than" bisected by a vertical line, "not." (The unicode for ≥ is "U+ 2265".)

Kwinjineli yee-sciences,izinga eliphantsi lokusetyenziswa ngokusesikweni kombhalo kukucacisa okokuba i-quantity enye "inkulu ngakumbi" kunenye, eziqhele ukusetyenziswa zii-orders of magnitude eziliqela.

Umbhalo ongu-a ≪ b uthetha okokuba u-a mncinane ngakumbi ku-b. (Kodwa ke xa kuthethwa ngethyori yomlinganiselo, nangona kunjalo, lo mbhalo usetyenziselwa ukuqhubela phambili, uhlobo lwesigama olungaqhelekanga nolungenakuthelekiswa nanto).
Umbhalo ongu-a ≫b uthetha okokubau-a mkhulu ngakumbi kuno-b

Iimpawu

Ezi ntlobo zokungalingani zilawulwa zezi mpawu zilandelayo. Zonke ke ezi mpawu ziyakuthi ukuze zivakale okanye zibambeke kuthi kanti endaweni yazo zonke iintlobo zokungalingani okungekho ngqingwqa ezinjengezi (≤ and ≥) kubekwe oogxa bazo abangqingqwa abanjengaba (< and >)