Kusanganiswa urongwa: pfungwa, zvivako uye nzira basa

Kusanganiswa kutevedzana yayo muganhu tiri rimwe matambudziko zvikuru masvomhu munhoroondo sayenzi iyi. Nguva achiudza zivo, akagadzira theorems itsva uye uchapupu - izvi zvose anotibvumira kuti funga pfungwa iyi munzvimbo itsva uye panguva dzakasiyana pamakona.

Kusanganiswa urongwa, maererano nomumwe ndicho determinations ndiyo kwemasvomhu basa ane chawo ari seti dzinongoitika nhamba, vari akaronga maererano imwe muenzaniso.

basa iri zvinogona sechinoitika vamwe, kana uchiziva murairo, maererano izvo zvose zvakasikwa nhamba anogona kuziva nhamba chaiyo pachena.

Pane nzira dzakawanda kusika nhamba sequences.

Chokutanga, basa iri rinogona kuisa vanonzi nzira "pachena", kana pane nzira iyo nhengo imwe neimwe kungotaura dzinomiririra kutevedzana nhamba iri kutevedzana kunogona tsunga.

nzira yechipiri inonzi "rekkurentnogo". Chaizvoizvo Its iri yokuti tinopiwa kutanga mashoko mashomanana ane nhamba urongwa, uyewo anokosha rekkurentnaya yemaitiro naro, achiziva rapfuura nhengo, unogona kuwana unotevera.

Pakupedzisira, vakawanda nzira yokuisa kutevedzana ndiye vanonzi "nzira Analytical", kana zvichibvira kwete chete kuziva imwe nhengo imwe Serial nhamba nyore, asi achiziva mashoma anotevedzana nhengo vauye mukuru yokuita mashandiro.

The kusanganiswa kutevedzana angave kuwedzera kana kudzikira. Muchiitiko chokutanga, mumwe achiteverwa nhengo dzayo idukusa yapfuura mumwe, uye wechipiri - pamusoro zvinopesana, zvakawanda.

Tichitarisa nyaya, hatigoni kugadzirisa mubvunzo pamusoro muganhu sequences. Kushomeka nhamba sequences anonzi kana ani, kusanganisira nokuti anoramba duku kukosha, pane urongwa nhamba, pashure izvo kutsaudzira akatevedzana mashoko kutevedzana kubva apa pfungwa iri Numeric chimiro kunova zvishoma kupfuura wakatarwa kunyange apo dzichiumbwa basa iri.

Pfungwa vanobishairira pokugumira kusanganiswa kutevedzana yaishandiswa panguva imwe kana mumwe chinokosha uye differential notation.

Kwemasvomhu sequences nhaka chose kuisa ehupfumi zvakakwana dzinonakidza.

Chekutanga, chero nhamba kutevedzana muenzaniso munhu akarongeka basa, saka, Zvivako zviri chakanangana mashandiro inogona zvakanaka vakaforera sequences. The kupfuura unoshamisa muenzaniso zvivako akadaro urongwa kuwedzera uye kudzikira svomhu series, izvo pamwe chete vakawanda pfungwa - monotonic kutevedzana.

Chechipiri, pane kumbonyanya guru boka sequences kuti hazvigoni kunzi kuwedzera kana kudzikira, - ndicho periodic kutevedzana. In masvomhu, vari kuonekwa munhu basa umo mune anonzi nguva urefu, kureva, kubva imwe pfungwa (n) anotanga kushandisa zvinotevera mukana wokuti vanhu vanga and _N = y _{N + T,} apo T uye achava iroro nguva yakareba.