
traftz vidhi

ganit mein, traftz vidhi aanshik vibhedak samikaranon key sankhyaatmak samadhan key liye ack vidhi haye jiska naam german ganitshastri erich traftz () (1888-1937) key naam parr rakhaa gayaa haye. yeh parimit tatva vidhiyon key varg key bheetar aataa haye.
parichay.
lagbhag 30 saal pahale apani shuruat key baad seey sankar traftz seemit-tatva vidhi kaafee unnat rahee haye. parimit tatva vishleshan kii paaramparik vidhi mein vibhedak sameekaran koo parivartit karna shamil haye joe samasya koo ack parivartansheel karyatmak mein niyantrit kartaa haye jisase tatva nodal guna-jinhen kshetra charr key roop mein jaanaa jaataa haye-paaya jaa sakata haye. ise vibhedak sameekaran key anumaanit samadhanon mein pratisthaapit karke aur seemit tatva kathorta matricks utpann karke hull kiya jaa sakata haye jise vaishvik kathorta matricks praapt karane key liye nirantarta mein sabhi tatvon key saath jodaa jaataa haye. iss vaishvik matricks key liye praasangik seema sthitiyon kaa anuprayog, aur kshetra charr kaa baad kaa samadhan ganitiya prakriya seey baahar hoe jaataa haye, jisake baad vaastavik jeevan engineering samasyaon koo hull karane key liye sankhyaatmak gananaon kaa upayog kiya jaa sakata haye.
karyatmak koo hull karane key ack mahatvapurna pahalu key liye hamein aise samadhan khojane kii aavashyakta hoti haye joe dee gaee seema sharton koo santusht karate hain aur antar-tatva nirantarta koo santusht karate hain kyonki humm pratyek tatva kshetra parr gunon koo swatantra roop seey paribhaashit karate hain.
hybrid traftz vidhi anumaanit visthaapan kshetron mein paaramparik seemit tatva vidhi aur parivartansheel karyatmak key nirmaan seey alag haye. paaramparik vidhi (rele-ritz ganitiya takneek parr adharit) key vipareet traftz vidhi (traftz ganitiya takneek parr adharit) visthaapan kshetra koo dou swatantra ghatakon seey banaa maanati haye; antar-tatva visthaapan kshetra joe shaasi avkal sameekaran koo santusht kartaa haye aur tatva kshetra key bheetar kshamata kii bhinnata koo anumaanit karane key liye upayog kiya jaataa haye, aur anuroop frame kshetra joe vishesh roop seey tatva kii seema parr paribhaashit antar-tatva nirantarta sthiti koo santusht kartaa haye. yahaan frame kshetra vahee haye joe paaramparik parimit tatva vidhi mein upayog kiya jaataa haye lekin tatva kii seema parr sakhti seey paribhaashit kiya jaataa haye-isaliye vidhi key namkaran mein "sankar" shabd kaa upayog kiya jaataa haye. iss prakaar parivartansheel karyatmak mein seema sthitiyon key liye atirikt shabd shamil honey chaahiye, kyonki maan liya gayaa samadhan kshetra kewal shaasi vibhedak sameekaran koo santusht kartaa haye.
paaramparik seemit tatva vidhi parr laabh.
paaramparik vidhi kii tulanaa mein sankar traftz vidhi key mukhya laabh hainh
anuprayog.
lagbhag 30 saal pahale apani mukhyadhara kii shuruat key baad seey, yeh sanshodhit seemit tatva vidhi loach, kirchoff plate, motee plate, samanya tri-ayami thhos yantriki, pratisamitiya thhos yantriki, sambhaavit samasyaaen, gole, elastodynamic samasyaaen, jyaamitiya roop seey araikhik plate jhukana, aur vibhinn anya key beach kshanik garmi chaalan vishleshan jaise anuprayogon key liye teji seey lokpriya hoe gaee haye. vartamaan mein ise canbara, australia mein australiyai rashtriya vishvavidyalaya (anu) mein engineering aur soochana praudyogiki (feat) key sankaay mein chala rahey shodh key madhyam seey sthir, gair-ashant, asampeedit, neutonian drav pravaah anuprayogon parr lagu kiya jaa rhaa haye. hybrid traftz vidhi koo kuchh kshetron mein bhee lagu kiya jaa rhaa haye, ee.jee. portugal mein lisban key takniki vishvavidyalaya, instituto superior technico mein chala rahee shodh pariyojana key madhyam seey hydrated soft tissue yaa jall-santript chhidrapurna media kaa computational modeling.

