Umsebenzi oqhubekayo

A umsebenzi oluthe rhoqo umsebenzi kungekho "siphinda-", ngamanye omnye apho imeko ilandelayo uyaneliswa: utshintsho ezincinane argument elandelwa utshintsho ezincinane amaxabiso ezahlukahlukeneyo msebenzi. Le grafu loo msebenzi a egopheni eqhubekayo okanye egudileyo.

Ukuqhubeka kule umda indawo ngenxa iseti, ungenza imiselwe iingqiqo mda, oko kukuthi, lo msebenzi kufuneka abe umda kule ndawo, nto leyo elingana nexabiso layo abakwindawo umda.

Xa ezi meko ngaxa lithile, bathi umsebenzi kwindawo ethile discontinuity, okt inkqubela yayo yaphulwe. Ngolwimi imida point ukukrazuka ingachazwa nonokungangqinelani kwi amaxabiso kwindawo engenangqondo kunye umda komsebenzi (ukuba ikhona).

discontinuity kuyo kusenokuba asuswayo, kuyimfuneko ukunciphisa ubukho imisebenzi, kodwa inokubalwa kunye nexabiso layo kwindawo elinikiweyo. Kulo mzekelo, ngeli nqanaba kunokwenzeka ukuba 'alungise ", oko kukuthi ukwandisa inkcazo phambili.
A eyahlukileyo ngokupheleleyo umfanekiso siyavela ukuba kumda komsebenzi kwindawo enikiweyo ayikho indawo ayikho. Kukho iingongoma ezimbini eli discontinuity:

• uhlobo lokuqala - kwaye kukho imida aphelayo omabini la macala, kwaye ixabiso omnye okanye bobabini musa idibana kunye ixabiso umsebenzi kwindawo kunikwa;
• uhlobo yesibini, xa kungekho namnye bucibusa okanye zombini imida okanye amaxabiso engapheliyo.

Iimpawu imisebenzi okuqhubekayo

• Umsebenzi afunyenwe ngenxa yokuba imisebenzi izibalo, kwaye kananjalo superposition kwemisebenzi esiqhubekayo domain yabo nalo rhoqo.
• Banikwa umsebenzi eqhubeka ngu dibanisa ngaxa lithile, ungasoloko ufumana indawo encinane ngokwaneleyo apho uya ukugcina uphawu wayo.
• Ngokufanayo, ukuba ixabiso layo iingongoma ezimbini A kunye no B, ngokulandelelana, yaye b, apho a yahlukile b, ngoko ukuze iingongoma eziphakathi iya kuthatha onke amaxabiso ukususela kwithuba lokuphumla (a; b). Ukusuka apha ungenza i sigqibo umdla: ukuba unika i rubber band ndasolula ukuyishwabanisa ukuze ungabinako SAG (ihlala ngqo), enye amanqaku ayo ahlale zokubhala. A geometrically oko kuthetha ukuba kukho umgca othe ngqo edlula nawuphi na indawo oluphakathi phakathi A and B, leyo sinqumla igrafu msebenzi.

Qaphela ezinye ngokuqhubekayo (kummandla yabo) imisebenzi nezakhiwo:

• njalo;
• enengqondo;
• nezetrigonometry.

Phakathi kwala magama mabini ibalulekileyo kwimathematika - yinto eqhubekayo kwaye differentiable - ezi kuhlangene. Kwanele ukuba ukukhumbula ukuba imisebenzi differentiable kufuneka ukuba ibe ngumsebenzi oqhubekayo.

Ukuba msebenzi differentiable ngaxa lithile, akukho eqhubekayo. Nangona kunjalo, akukho mfuneko, ukuba ithe kwalo okuqhubekayo.

A umsebenzi ngayo iseti ithe rhoqo, bobabo kwiklasi eyahlukileyo imisebenzi egudileyo. Ngamanye amazwi, oko - umsebenzi ngokuqhubekayo differentiable. Ukuba ithe kukho inani eliqingqiweyo lamanqaku of discontinuity (kuphela uhlobo wokuqala), umsebenzi ofanayo kuthiwa piecewise egudileyo.

Enye ingcamango ebalulekileyo uhlalutyo zezibalo kukuba ngokufanayo umsebenzi rhoqo, oko kukuthi, ukukwazi layo ukuba nangaliphi na indawo domain yayo rhoqo ngokufanayo. Ngenxa yoko, yepropati ibonwa kwi yeseti amanqaku, kunokuba nawuphi na umntu.

Ukuba ukulungisa ingongoma, ufumana nto yimbi, njengoko inkcazo phambili, oko kukuthi, ukususela ubukho ukuqhubeka uniform ithetha ukuba lo msebenzi ngokuqhubekayo. Xa sithetha nje ngokubanzi, eli nokuxoxisana akunjalo. Noko ke, ngokutsho theorem Cantor, ukuba lo msebenzi eqhubekayo kwi-compact, oko kukuthi, phezu lokuphumla evaliweyo, ngoko ke eqhubekayo ngokufanayo kuyo.