Mathematical Economics

• We take the derivative of the Hamiltonian with respect to each state variable and set it to equal the negative of the derivative of the Lagrange multiplier

1) Show that the invariancy of Hamiltonian H with respect to infinitesimal shifts in space leads to the momentum conservation in the quantum system governed by H, i.e. Define

By a result of McKenzie [4] finite directed graphs that satisfy cer- tain connectivity and thinness conditions have the unique prime fac- torization property with respect to

We are going to prove that level sets of continuous functions in- creasing with respect to each variable are arcwise connected (Theorem 3) and characterize those of them which are

In particular, if G has k + 2 vertices and is W k -maximal, then it is maximal with respect to absence of Hamiltonian paths; it has no Hamiltonian path, but each graph obtained from

On the one hand, when the damping coefficient is small enough (this depends on the data of the problem), Problem (P ω ) is well posed: the topological derivative then provides a

The aim of this study was to determine the basic mechanical properties of the skin of domestic pig foetuses, sampled in a direction par- allel to the long axis of the body

We have shown [5] that this fact turns out to be very useful in the air shower experiments based on observations of the fluorescence light excited in the atmosphere by shower