Ntchito yothandizira

A ntchito mosalekeza ndi ntchito wopanda "kudumpha", i.e. imene chikhalidwe zotsatirazi zimakwaniritsidwa: kusintha yaing'ono mkangano akutsatiridwa ndi kusintha kwakung'ono mfundo za ntchito ya ziwalo. The Zithunzi zoterozo ntchito yake ndi mosalekeza kapena yosalala limaoneka lokongola.

Kupitiriza pa malire imene ingachititse, zingadziŵike ndi mfundo malire, ndicho kugwira ntchito ayenera malire pa mfundo iyi, umene uli wofanana ndi mtengo wake pa mfundo malire.

Pamene zinthu izi nthawi ina, kuti ntchito pa mfundo discontinuity, mwachitsanzo kupitiriza wake wathyoka. M'chilankhulo cha malire a mfundo kuichotsa akhoza kukhala mismatch mu mfundo za poipa kwambiri moti ndi malire a ntchito afotokozedwa (ngati alipo).

discontinuity mfundo kungakhale zochotseka, m'pofunika kuchepetsa kuli ntchito, koma m'pangono pomwe ndi kufunika kwake pa mfundo zina. Pankhaniyi, panthawi ino n'zotheka "kukonza" kuti ndi zokulitsa tanthauzo la mosalekeza.
A chithunzi chosiyana ukuonekera ngati malire a ntchito pa anapatsidwa mfundo si kulibe. Pali mfundo ziwiri za discontinuity:

• mtundu woyamba - ndipo pali malire amalire onse amene amaganiza, ndi mtengo wa limodzi kapena onse a iwo sizigwirizana ndi kufunika kwa ntchito pa mfundo wapatsidwa;
• mtundu chachiwiri, pamene palibe mmodzi ndiye amaganiza kapena onse awiri malire kapena mfundo wosatha.

Katundu ntchito yothandizira

• Ntchito analandira monga zotsatira za ntchito masamu, komanso superposition ntchito yopitirira ya chikhalidwe chawo ndi mosalekeza.
• Popeza ntchito yothandizira amene ali ndi kachirombo pa nthawi inayake, inu nthawi zonse kupeza m'dera mokwanira yaing'ono imene adzakhala nawobe chizindikiro ake.
• Mofananamo, ngati kufunika kwake pa mfundo ziwiri A ndi B ali, motero, ndipo b, mmene ndi wosiyana b, ndiye kuti mfundo zokhwima kudzatenga mfundo zonse kuchokera imeneyi ndi (a; b). Kuyambira pano mungathe yochititsa chidwi: ngati inu mupereka anatambasula mphira gulu kuti usachite chotero kuti si sag (amakhalabe molunjika), m'modzi mwa mfundo ake akhale n'kupuma. A geometrically zikutanthauza kuti pali mzere molunjika kudutsa imene wapakatikati pakati A ndi B, omwe intersects ndi Zithunzi za kugwira ntchito.

Onani zina mwa mosalekeza (m'dera la tanthauzo awo) za ntchito ya pulayimale:

• nthawi zonse;
• zomveka;
• ndikuyenda.

Pakati pa mfundo ziwiri zofunika kwambiri pa masamu - ndi mosalekeza ndi differentiable - ali inextricably zogwirizana. Wokwanira kukumbukira kuti ntchito differentiable muyenera kuti ndi ntchito mosalekeza.

Ngati ntchito ndi differentiable panthawi ina, pali mosalekeza. Komabe, si koyenera, kotero kuti otumphukira ake ndi mosalekeza.

A ntchito imene ali pa mndandanda wa otumphukira mosalekeza, ali wa kalasi osiyana ntchito yosalala. Mu mawu ena, - ntchito mosalekeza differentiable. Ngati otumphukira ali owerengeka mfundo discontinuity (yekha mtundu woyamba), ntchito zofanana amatchedwa piecewise yosalala.

mfundo ina yofunika ya kusanthula masamu ndi uniformly mosalekeza ntchito, ndiye mphamvu yake kukhala pa Msikiti ulamuliro wake womwewo mosalekeza. Choncho, malo amene chikuoneka pa mndandanda wa mfundo osati munthu aliyense.

Ngati ife kukonza mfundo, inu kupeza kanthu kena, monga kutanthauzira kupitiriza, yomwe kuli yunifolomu kupitiriza zikutanthauza kuti uwu ndi ntchito mosalekeza. Kunena zoona, kukambirana si zoona. Komabe, malinga ndi Lingaliro Lovomerezeka Cantor, ngati ntchito ndi yopitirira pa yaying'ono, kuti, pa imeneyi chatsekedwa, ndiye uniformly yopitirira pa izo.