suparibhaashit

ganit mein, kisi kathan ko suparibhaashit kaha jaata hai yadi yeh spasht hai aur iske avayav iske niroopan se svatantr hote hain. adhik saral shabdon mein, iska matlab yeh hai ki ek ganiteeya kathan pratyaksh aur spasht ho. vishesh roop se, ek falan suparibhaashit kahalaata hai yadi iske nivisht mein badlaav kiye bina iske roop mein parivartan (jis roop mein yeh prastut kiya jaata hai) karne par yeh samaan parinaam deta hai. ek suparibhaashit falan 0.5 ke liye vahi parinaam deta hai jo 1/2 ke liye deta hai.[1] shabd suparibhaashit ko ek taarkik kathan ke spasht ke liye bhi kaam mein liya jaata tha aur aanshik avakal sameekaran ko suparibhaashit kaha jaata hai yadi yeh seemaaon par satat hai.[2]

suparibhaashit ankan

vaastavik sankhya ke liye ka parinaam spasht hai kyonki hota hai.[2] is sthiti mein is ankan ko suparibhaashit kaha jaata hai. haalaanki yadi sankriya (yahaaain ) saahacharya gunadharm naheen rakhati to yahaaain ek paripaati paribhaashit honi chaahiye jismein do avayavon ko pehle guna kiya jaata hai. anyatha, yeh guna suparibhaashit naheen hai. udaaharan ke liye sankriya ghataana saahacharya naheen hai. haalaanki niroopan sankriya ke saath suparibhaashit hai jiske anusaar ise vipriton ke yog se samjha ja sakta hai aur ko ke samaan maana jaata hai. bhaag bhi saahacharya naheen hai. haalaanki spasht paribhaasha naheen rakhata at: yeh suparibhaashit naheen hai.

sandarbh

  1. Joseph je॰ rotamaan, The Theory of Groups: an Introduction [samooh siddhaant: ek parichay] (angreji mein), pru॰ 287 "...a function is "single-valued," or, as we prefer to say ... a function is well defined.", Allyn and Bacon, 1965.
  2. a aa Weisstein, Eric W.. "Well-Defined" (angreji mein). From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Well-Defined.html. abhigman tithi: 3 March 2015.