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General Forum: Education | | ******MATHEMATICS****** | |
| hmmm.....3 intervals analedandi....3 stes annnaanu....
oka set lo different set of intervals undacchu
for example (a,b)U (c,d) U (e,f)........like that got it.........
Posted by: Raj Sekhar At: 13, Nov 2003 10:40:09 PM IST
Just one qsn andi Raj, when u say 3 intervals , how can they be like specific
say for example ..(delta , a] [ a , b] [ b, z), where delta goes to zero and z goes to infinity... and both being open sets because none of them are included in positive real axis. ala ayyinappudu .. trivially it holds gud for the interval which doesnt have the lower bound ..or which does not have the upper bound. In which case the 1st and the 3rd intervals always cause problem
Posted by: Mr. Frank Abagnale Jr. At: 13, Nov 2003 10:35:11 PM IST
abbaa...vectors aa....naakassalu ishtam undadu vectors ante.....poblems koodaa balavanthangaa chesevaadini....thappadannattugaa....
yeah,u r in right track....u can complete itwith a little more effort....
Posted by: Raj Sekhar At: 13, Nov 2003 10:27:14 PM IST
KADANDI RAJ SEKHAR, ALA ANI KAADU THAT WAS INTENDED FOR THE VERY FRANK GUY THOUGH
Posted by: Ms. Alchemist At: 13, Nov 2003 10:26:48 PM IST
thanks raj .. nice to knw that I am on right track .. actually itz been sometime that i dealt this type of mathematics . After taking to grad studies ..we are encouraged to take the vectorial approach , which is less rigorous in formulations , but seems to have more general applications. Well, I cant say whether I can complete the problem .. I wud luv to put in some more efforts and lets c if I can pull it off .
Posted by: Mr. Frank Abagnale Jr. At: 13, Nov 2003 10:22:22 PM IST
avvakoodadani mee uddesyamaa,abhipraayamaa@sonal
Posted by: Raj Sekhar At: 13, Nov 2003 10:19:33 PM IST
adhigoo nuvvu participate forums lo etu solution vundadhu .. janalu argue chesi chesi same point ki vastaru .. kaneesam maths better .. koncham .. sramisthey dari chooputundhi .. andukey , ayina neeku enduku cheptunnano ardham kaadhu ..etu nee fuse blownn . :p
Posted by: Mr. Frank Abagnale Jr. At: 13, Nov 2003 10:18:50 PM IST
wow....w.onderfull......u almost reached the solution.....i appreciate u really....
so,u found out an interval (c,d) where the equation is not solvable.....
lets give some value to "c" and the corresponding value to "d" ...
like this,u can form different intervals (c,d)......so that the entire real number set is covered......
now our problem is t divide that subsets into three groups......that is collecting some of the subsets so that,there is no clashing of solutions,when u mix two subsets.....
when u write all the subsets starting from a prticular value to (c,d) and then proceeding,u will get the complete solution.....
u had almost done it........i wish u complete the remaining also....
or else i will tell that...
welldone good job:)))))))
Posted by: Raj Sekhar At: 13, Nov 2003 10:17:12 PM IST
DEVUDOI.. ITUVANTI SESSIONS LO KUDA PARTICIPATE AVUTAARA :o
Posted by: Ms. Alchemist At: 13, Nov 2003 10:15:21 PM IST
hi Raj.. this is wat I feel
Lets define function S(x,y):R+ ----) R+ such that S(x,y) = x+y .lets consider an interval (c.d). Since the function is S is monotonously increasing and binear with both x and y (You can check this result by taking second derivates .. ). the maxima and the minima of the function occur at the extremes . Hence, the maximum of the function would be 2d and the minima would be 2c.
Now for the function f(z) = 5z. for z belonging to the same interval the maxima and the minima would be (5c , 5d) . For the equality not to hold good , (5c,5d) should lie outside (2c , 2d), this would result only in one imposing condition d ( (5/2) c . So as long as u divide the real line into such intervals it will hold good trivially. But wat I dont understand how can u give specific intervals ? yes , you can define intervals in recursive fashion. ( Wats bothering me if u say just three sets .. then max value on of the set in unbounded :O not gud news buddy ... coz we want it to be less than something else ..
Let me know wat do u think :-)
Thanks
Krishna
Posted by: Mr. Frank Abagnale Jr. At: 13, Nov 2003 10:00:01 PM IST
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