Lagrange multiplier
Then the partial derivatives of L with respect to the original variables and each λi are taken, and the stationary points found by solving the set of simultaneous equations obtained by setting each derivative to zero.
For example, to maximize f(x,y) = 3x + 4y subject to g(x,y) = x2 + y2−1=0, we define
and the equations
have solutions (x,y) = (3/5,4/5), a maximum, and (x,y) = (–3/5, –4/5), a minimum.
- torsion
- torsion element
- torus
- torus
- total differential
- total expectation law
- total force
- totally bounded
- totally disconnected
- total order
- total probability law
- total relation
- totient function
- touch
- tower law
- Tower of Brahma
- Tower of Hanoi
- trace
- tractrix
- trail
- trajectory
- transcendental number
- transfinite number
- transformation
- transformation group