The theorem proves that, given these minimal assumptions, it is impossible to construct any procedure that results in a collectively rational expression of individual desires.
That is to say, if the equation of state and the internal energy of a fluid are known, then all the other thermodynamic properties (e.g., enthalpy, entropy, and free energy) are fixed by the condition that it must be impossible to construct perpetual motion machines from the fluid.
as killing the measure through which he planned to provide housing facilities for 175,000 families now living in slums, as it will be impossible to construct the projected four-room apartments at this price in the slum areas where housing is most essential.
It's impossible to construct an apolitical map".
Devices that were thought to be impossible to construct are now becoming a reality.
Such a combination may be impossible to construct along material discontinuities using only cell concentration values.
It is impossible to construct an optimal reception with accurate reference function in practical situations.
However, it is impossible to construct efficiently fully homomorphic encryption scheme in recent years.
Without them logically complex computational artifacts would be impossible to construct.
It is proved that it is impossible to construct such a functional calculus on the class of all continuously differentiable functions.
