Maximum value attainable of Multivariate function under given constraints

Calculus

  • calculus

    Votes: 0 0.0%
  • Maximum

    Votes: 0 0.0%

  • Total voters
    0

vs140580

New member
Joined
Nov 15, 2015
Messages
3
Let \(\displaystyle L\,=\,\frac{(a^2\,+\,b^2)\,-\,(c^2\,+\,d^2)}{2(c\,+\,d\,-\,a\,-\,b)} \)

Find the maximum value attainable by L in terms of p, given the below conditions:

\(\displaystyle a,\,b,\,c,\,d\, \in\, \left\{0,\,1,\,2,\,\ldots,\,p\,-\,1\right\}\,\)

\(\displaystyle a\, \neq\, b\)

\(\displaystyle c\, \neq\, d\)

Find the maximum value attainable by L for a, given

\(\displaystyle 0\,\leq\, a,\,b,\,c,\,d\, \leq\, (p\,-\,1).\)

kind help
 
Last edited by a moderator:
Top