Kafukufuku wathunthu ntchito ndi masiyanidwe kakyulasi

Wodziwa zambiri mbali wathu zida ndi chida chokwanira kuti achite kafukufuku wathunthu makamaka dongosolo mwamasamu anakonzeratu mu mawonekedwe a chilinganizo ndi (ntchito). Kumene, amene akanakhoza kupita njira zophweka kwambiri koma yolemetsa. Mwachitsanzo, anapatsidwa kuchuluka mkangano sankhani imeneyi, kuwerengera mtengo unagwira ntchito ndi kumanga Zithunzi. Pamaso pa amphamvu kachitidwe kamakono computer, vutoli ndi kuthetsedwa mu nkhani masekondi. Koma kuchotsa zida zonse zake kuphunzira ntchito za masamu mofulumira ayi, chifukwa ndi njira imeneyi angagwiritsidwe ntchito kuwunika kulondola cha machitidwe a makompyuta pothetsa mavutowa. Nyali makina, sitingakhazikike molondola mwachindunji pamwamba osiyanasiyana mu mkangano kusankha.

Ndipo pokhapokha kufufuza mokwanira za ntchito, mukhoza onetsetsani kuti amaganizira zina zabwino zonse "khalidwe" pakokha pa zitsanzo zosankhidwazi imeneyi, ndi pa mitundu yosiyanasiyana ya mikangano.

Pofuna kuthetsa zosiyanasiyana m'minda ya sayansi, masamu ndi sayansi pali kufunika kuti ayambe kuphunzira kudalira zinchito pakati zosintha khalidwe lake zodabwitsazi. Wotsiriza, anapatsidwa analytically ndi mmodzi kapena ya mitunduyi angapo, amalola kuphunzira njira analytics masamu.

Kuchititsa kufufuza zonse mwa ntchito - kupeza ndi kuzindikira mbali izo kumawonjezera (amachepetsa), kumene umalandira pazipita (osachepera), komanso mbali zina za ndandanda yake.

Pali ena ziwembu, amene amapangidwa kuphunzira lathunthu kugwira ntchito. Zitsanzo za mndandanda wa kafukufuku masamu ikuchitika ndi kuchepetsedwa kupeza mphindi pafupifupi zofanana. Zoyerekeza kusanthula dongosolo ikukhudza maphunziro zotsatirazi:

- kupeza ulamuliro wa ntchito, ife kufufuza khalidwe mwa malire ake;

- zonyamula kupeza yopuma mfundo gulu kudzera mwa malire unilateral;

- kugwira asymptotes ena;

- timapeza extremum mfundo ndi intervals monotonicity;

- kutulutsa Kukweza mawu ena, intervals wa concavity ndi convexity;

- kugwira ntchito yomanga ndandanda pa maziko a zotsatira za phunzirolo.

Mukamakambirana yekha mfundo zina za dongosolo ndi Dziwani kuti masiyanidwe kakyulasi wakhala bwino chida kuphunzira ntchito. Pali limasonyeza wosavuta kumene kulipo pakati pa khalidwe la kugwira ntchito ndi mbali zake otumphukira. Kuti athetse vutoli ndi okwanira kuwerengera yoyamba ndi yachiwiri otumphukira.

Taganizirani ndondomeko kupeza ndi intervals kuchepa, kuwonjezera ntchito, iwo analandira dzina la intervals chongosangalatsa.

Ndi okwanira kudziwa chizindikiro cha otumphukira yoyamba pa nthawi zina. Ngati iye ali nthawi zonse imeneyi ndi wamkulu kuposa ziro, ndiye ife tikhoza bwinobwino kuweruza monotonic kuwonjezeka ntchito mu uthunthu izi, ndi mosemphanitsa. makhalidwe olakwika a otumphukira choyamba amakhala ngati ntchito monotonically ikuchepa.

Mothandizidwa ndi mawerengedwe a opangidwa kuchokera anasankha malo zithunzi, wotchedwa bulges ndi ntchito concave. Iwo imatsimikizirika kuti ngati mu njira ya kuwerengetsera analandira otumphukira ntchito mosalekeza ndi zoipa, izo zikusonyeza kuti convexity, kupitiriza wa otumphukira chachiwiri ndi phindu lake zabwino limasonyeza kuti concavity wa Zithunzi wa.

Kupeza nthawi, pamene pali kusintha chizindikiro mu otumphukira wachiwiri, kapena malo kumene kulibe, amasonyeza mtima wa kufika Kukweza mawu. Kuti ndi malire pa intervals wa convexity ndi concavity.

phunziro Full a kugwira ntchito sikuthetsa ndi mfundo pamwamba, koma ntchito kakyulasi masiyanidwe kwambiri zimatithandiza ndondomeko imeneyi. Pankhaniyi, zotsatira za kuwunika amakhala pazipita chikhulupiriro, chimene chimathandiza kumanga Zithunzi, kotheratu mogwirizana ndi katundu ntchito mayeso.