Sentence examples for the only invariant from inspiring English sources

Batchelor's classical theory, which assumes that the kinetic energy is the only invariant of the flow, predicts that the integral scale grows as l∼t.

The only invariant is that you have to be in love with the stuff, and be willing to work hard.

When a transformation is made to a different inertial frame of reference, the speeds of both bradyons and tachyons change (the speed of light in vacuum being the only invariant speed).

We can easily verify that ({E}) is the only invariant set in (operatorname {int}(Omega)), where (V^{prime}=0), therefore, E is globally asymptotically stable in (operatorname {int}(Omega)).

(2) Determine the irreducible representations of this action of Γ. (Recall that a representation V is an invariant subspace of the action of Γ; V is irreducible if the only invariant subspaces are the trivial subspace {0} and V itself).

Determine the irreducible representations of this action of Γ. (Recall that a representation V is an invariant subspace of the action of Γ; V is irreducible if the only invariant subspaces are the trivial subspace {0} and V itself).

For example, the only Lorentz invariant and gauge invariant renormalizable Lagrangian for photons and electrons is precisely the original Dirac Lagrangian.

Another conspicuous feature of the data on Figures  3, 5, 6 and 7 is that the evolved enzyme activities, folding energies and lengths of the different replicator types are not only invariant across the relevant parameter ranges of the model, but they also seem to converge: at any specific value of D, h or b2 the data points representing the different replicator types are very close to each other.

Recall that (chi ) is only invariant by the local action of the supergroup ((G,mathfrak {g})) on (widetilde{H}).

These formulas provide explicit limitations on the pool of candidates for irreducible unitary representations, since the only possible invariant inner product is given by such an intertwining operator.

But how could we know that it was the only such invariant measure?