Sentence examples for is not defined on from inspiring English sources

It is tempting to apply (2.17) to obtain (2.15) but one immediately notices that ( V R_0 ( lambda ) ) is not defined on on ( L^2 ) once ( {mathrm{Im}},lambda le 0 ).

Clearly spent too much time with Gary Barlow #takethatpolitics #r4today May 20 , 2014Pippa Crerar (@PippaCrerar) "Your patriotism is not defined on your position on this question" - Cameron on in/out.

Accommodation is then what happens when the update is not defined on what was previously considered to be the most plausible context, in which case the hearer drops that context from contention.

The canonical connection (nabla ) on the tangent bundle (T V) has virtually the same definition as for the Lie groups (apart from the fact that it is not defined on the whole of (M)): for (a,bin G) the corresponding parallel transport sends ({T_a} G) to ({T_b} G) by the differential of the smooth map begin{aligned} xmapsto b abackslash x).

Since, due to the Galerkin method, the approximation of f is not defined on the boundary of the cells, we must introduce a numerical flux, that furnishes reasonable values of f on every (partial C_{alpha}), depending on the values of the approximation of f in the nearest neighborhoods of the cell (C_{alpha}) and on the sign of (mathbf{E} cdot mathbf{n}).

For comparison, consider the doubling function ; is a real-valued function of a real number, meaning that it takes numbers as inputs and has numbers as outputs: :\begin{align} 1 &\mapsto 2,\\ 2 &\mapsto 4,\\ 3 &\mapsto 6. \end{align} The operator, however, is not defined on individual numbers.

But YouTube Music Key also very much not like other streaming music services, because of the ways in which music is (or rather isn't) defined on YouTube.

The sample size was not defined on the basis of a pre-defined hypothesis testing.

"As young a team as we had, as hard as they played, it's not defined on just wins and losses.

Thus, Einstein hypersurfaces are not defined on any lightlike hypersurface.

The basic operations of average, minimum, and maximum are not defined on this alphabet.