harmonic pragati (ganit)

ganit mein, ack harmonic pragati (yaa harmonic anukram) ack ankganitiya pragati key parasparik koo lene seey bunny pragati haye.
samatulya roop seey, ack anukram ack harmonic pragati haye jaba pratyek shabd padosi shabdon kaa harmonic maadhya hotaa haye.
ack teesare samatulya charitra varnan key roop mein, yeh roop kaa ack anant anukram haye.
jahan "a" shoonya naheen haye aur-"a"/"d" ack praakritik sankhya naheen haye, yaa roop kaa ack seemit anukram naheen haye.
jahan "a" shoonya naheen haye, k "ack praakritik sankhya haye aur-" a "/" d "ack praakritik sankhya naheen haye yaa" k "seey badee haye.
udaaharan.
nimnalikhit mein ack praakritik sankhya haye, anukram menh sootra _ 3
harmonic pragati kaa yog.
anant harmonic pragati yog yogya naheen hain (anant kaa yog).
alag-alag ikai anshon kii ack harmonic pragati (tuchchh mamle key alawa jahaan "a" = 1 aur "k" = 0) key liye ack purnank kaa yog karna sambhav naheen haye. iska kaaran yeh haye kii, aavashyak roop seey, pragati kaa cumm seey cumm ack bhaajak ack pradhaan sankhya seey vibhaajya hoga joe kissy anya bhaajak koo vibhajit naheen kartaa haye.
jyaamiti mein upayog karein.
yadi samrekhiya bindu a, b, c aur d aise hain kii d, a aur b key sambandh mein c kaa harmonic sanyugma haye, tou inmein seey kissy ack bindu seey teen shesh binduon taka kii doori harmonic pragati banaati haye. vishesh roop seey, pratyek anukram
assie, abby, addie; beesee, beee, beedi; caa, cd, cb; aur daa, dc, db harmonic pragati hain, jahaan pratyek doori koo rekha key ack nishchit abhivinyas key anusaar hastaaksharit kiya jaataa haye.
ack trikon mein, yadi oonchaai ankganitiya pragati mein haye, tou bhujaaen harmonic pragati mein hain.
leaning tower off lear.
harmonic pragati kaa ack utkrisht udaaharan lyer kaa jhukata huaa meenar haye. isamen, ack samaan khandon koo ack dusare key oopar rakhaa jaataa haye taaki adhikatam kinare yaa paarshv doori koo praapt kiya jaa sakey. blocks koo 1/2,1/4,1/6,1/8,1/10, key roop mein rakhaa gayaa haye... mool khand key neeche kii doori. yeh sunishchit kartaa haye kii gurutvaakarshan kaa kendra sanrachana key kendra mein hii hoe taaki yeh dhaha naa jaae. sanrachana parr vajan mein thodi vriddhi key kaaran yeh asthir hoe jaataa haye aur gir jaataa haye.

