anukram ki seema

परिवृत षष्टभुज और पंचभुज का चित्र
sam n-bhuj vaale bahubhuj ke parimaap ke anukram ka seemaant maan samabhuj ke parivrutt ki paridhi ke tulya hota hai. is prakaar ka anukram mein antarnihit vrutt ke anuroop seema bhi samaan hi hoti hai.
n n sin(1/n)
1 0.841471
2 0.958851
...
10 0.998334
...
100 0.999983

jaise-jaise dhan-poornaank n ka maan badhta hai n sin(1/n) ka maan svechhik roop se 1 ki or agrasar hota hai. at: ham kah sakte hain ki "anukram n sin(1/n) ka seemaant maan 1 ke baraabar hota hai."

ganit mein anukram ki seema vah maan hai jiski or anukram ke pad agrasar hote hain.[1] yadi is tarah ki koi seema vidyamaan hai to anukram abhisaari kahalaata hai. yadi anukram jo abhisran naheen karta use apasaari kehte hain.[2] anukram ki seema ka maan moolabhoot niroopan hai aur sabhi vishleshan iske anusaar paribhaashit kiye jaate hain.[1]

sandarbh

  1. a aa Courant (1961), p. 29.
  2. Courant (1961), p. 39.