The answer depends on many parameters, and some have to be experimentally established.

However, a physical basis for these mathematical extensions remains to be established experimentally.

This is experimentally established in many tests of relativistic energy and momentum.

Many of the roles of archeases remain to be established experimentally.

These values were established both theoretically and experimentally.

Virtual pitch is an experimentally established phenomenon in humans that can be mathematically described.

"You will remember that we established experimentally that the Ledbetter effect could be used as a sterilizing agent?"

Here, one does not regard the above result as a deduction from the Heisenberg theory, but as a basic hypothesis which is well established experimentally.

Eberhorst's contribution was to show how the several constants in Olley's complex equations could be established experimentally.

He also succeeded in establishing experimentally the law by which the polarisation of the rays composing the luminous cone is governed.