samayam tirogamanam

samaya-sthithula kramam tiragabadinappudu prakriya yokka gatiseelata baga nirvachinchabadinatlayite ganita ledhaa bhouthika prakriya samaya-tiragabadutundi.
samayam-tirogamana prakriya asalu prakriya vale adhe dynamic sameekaranaalanu santruptiparichinatlayite nirnayaatmaka prakriya samayam-tirogamana prakriya; maroe maatalo cheppalante, samaya chihnamlo maarpulo sameekaranaalu asthiramgaa ledhaa samaruupamgaa untaayi. prakriya yokka ganaanka lakshanaalu adhe prakriya nundi samayam-tiragabadina dayta kosam ganaanka lakshanaalatoo samanamga unte yaadruchchika prakriya tiragabadutundi.
ganitam.
ganita saastramlo, munduku saage parinaamam okariki okarugaa unte dynamic vyavastha samayam-tirigi vachedi, tadwara prati sthithiki oka parivartana (oka involution) π untundi, idhi edainaa oka sthithi yokka samayam-tirogamana parinaamam mariyu operator sameekaranam dwara ivvabadina maroka sambandhita sthithi yokka munduku-samayam parinaamam madhya okadaaniki okati mappingnu istundih
edainaa samaya-swatantra nirmaanaalu (udhaa.zii. dynamics (chalanaatmakata) daariteese klishtamaina paayintlu ledhaa aakarshanhalu) sweeya-samamititoe undaali ledhaa involution π kinda samamita chitraalanu kaligi undaali.
bhouthika shaastram.
bhouthika saastramlo, operator π vyavasthalooni anni kanaala samyoga kshanaanni tippikottinanta varaku, shaastreeya yantrasaastram yokka chalana niyamaalu samaya tirogamanaanni pradarsistaayi, i.ii. suutram _ 2 (tii-samaruupata).
ayithe, quantum yaantrika vyavasthalalo, balaheenamaina anhu shakti kevalam tii-samaruupata kinda matrame asthiramgaa undadu; balaheenamaina paraspara charyalu unte, reversible dynamics ippatikee saadhyame, conny operator π kooda anni chaarjeela sankethaalanu mariyu praadaesika samanvayala (sii-samaruupata mariyu pii-samaruupata) yokka samaanatvaanni tippikottinatlayite matrame. aneka anusandhaaninchabadina lakshanaala yokka eee tirogamanaanni sii. pii. tii. samaruupata antaaru.
prakriya samayamlo entropylo maarpunu batti thermodynamic prakriyalu tiragagaligevi ledhaa tirigi marchalenivi kaavacchu. ayithe, thermodynamic prakriyalaku aadhaaramaina praathamika niyamaalu anni samaya-tirigi maarchadaginavi (chalana shaastreeya niyamaalu mariyu vidyudayaskaanta niyamaalu), antey suukshmadarshini sthaayilo, anni kanaalanu mariyu anni sthaayila swechhanu track cheyagaligithe, bahula-shareera vyavastha prakriyalannee tirigi maarchadaginavi; ayithe, atuvanti vislaeshanha yea maanavuni (ledhaa krutrima medhassu) saamardhyaaniki minchinadi, mariyu bahula-shareera vyavastha yokka sthuula lakshanaalu (entropy mariyu ushnograta vantivi) samuuhaala ganaamkaala nundi matrame "nirvachinchabaddaayi". thermodynamicslo ituvanti sthuuladarshaka lakshanaala gurinchi matladetappudu, konni sandarbhaallo, ganaanka sthaayilo eee parimaanaala samaya parinaamamlo tirigi pondaleni saamarthyaanni manam chudavachu. nijaaniki, thermodynamics yokka rendava niyamam mottam viswam yokka entropy taggakudadani anchanaa vestundi, daani sambhaavyata sunna kabatti kaadu, conny anni aacharanaatmaka parigananalaku idhi "ganaanka asadhyam" anie chaalaa arudu kabatti (crooks fluctuation siddhaantam chudandi).
yaadruchchika prakriyalu.
munduku mariyu venukaku sthithi shrenula ummadi sambhaavyatalu anni samaya perugudalaku samanamga unte yaadruchchika prakriya samayam-tirigi pondavacchu, "s" = 1, kosam...edainaa "k" kosam "k":
ekakaalika sthiramaina gassian prakriya samaya-tirigi pondagaligedi. markov prakriyalu vaati sthira pampinheelu vivaranaatmaka samatulyatanu kaligi untene tirigi maarchavachuhu
kolmogorov yokka pramaanam markov golusu ledhaa nirantara-samaya markov golusu samaya-tirigi pondagaligedigaa undaalane paristhitini nirvachistundi.
levy prakriyalu, yaadruchchika netvarklu (kellies lemma), jananam mariyu maranam prakriyalu, markov golusulu mariyu mukkaluga nirnayaatmaka markov prakriyalatho sahaa aneka taragatula yaadruchchika prakriyala samaya tirogamanam adhyayanam cheyabadindi.
taramgaalu mariyu optics.
time reversal paddhati taranga sameekaranam yokka sarala paraspara aadhaaramgaa panichestundi, idhi taranga sameekaranam yokka samaya tirogamana parishkaram kooda taranga sameekaranaaniki parishkaram anie perkondi, endukante praamaanika taranga sameekaranaalu teliyani chararaasula yokka utpannaalanu matrame kaligi untaayi. anduvalla, taranga sameekaranam samayam tirogamanamlo samaruupamgaa untundi, kabatti edainaa chellubaatu ayye parishkaram yokka samayam tirogamanam kooda oka parishkaram. dheeni ardham, antariksham gundaa oka tarangam yokka maargam rendu disalalo prayaaninchinappudu chellutundi.
time reversal signal prosessing anedi andukunna signalnu riverse cheyadaaniki eee lakshanaanni upayoginche prakriya; eee signal tirigi vidudala cheyabadutundi mariyu taatkaalika kudimpu sambhavistundi, phalitamgaa prarambha muulam vadda aadabadutunna prarambha excitation taranga roopam yokka tirogamananiki daariteestundi.

