Sentence examples for unique trace from inspiring English sources

We show also that, up to a change of scale, there is a unique trace on each of the commutator ideals.

In addition, we show that this noncommutative residue provides us with the unique trace up to constant multiple on the algebra of integer order ΨHDOs.

The response of the system is described in terms of "wave components", each associated with a unique trace wavenumber along the coupling.

For example, unique trace metal and isotope chemistry can be used as naturally occurring indicators, or fingerprints, of water rock interactions and fluid migration and mixing [5 7].

We show that any countable subgroup of the multiplicative group R×+ of positive real numbers can be realized as the fundamental group F(A) of a separable simple unital C⁎-algebra A with unique trace.

In particular, we show they are pairwise strongly Morita equivalent, we compute their K-groups, and we prove many properties, such as simplicity, unique trace, and stable rank 1.

The mare basalts show a wide range of chemical and mineral compositions reflecting different conditions in the deep regions of the mantle where, presumably because of heating from radioactive elements in the rock, primordial lunar materials were partly remelted and fractionated so that the lavas carried unique trace-element signatures up to the surface.

It is proved that the join of an empty graph on v−1 vertices and a cycle graph on v+1 vertices is the unique trace-minimal graph in this class.

Let (m(S_{n}(M))) denote the number of traces which are uniquely identified by (S_{n}(M)): the lower (m(S_{n}(M))) the more unique a trace is.

The challenge of verifying the use of chemical weapons in a war zone, particularly chlorine – which disperses rapidly and does not leave a unique chemical trace when used as a weapon – has hampered efforts to track their use.

Moreover, we show that it is the unique continuous trace on this algebra up to multiplication by a constant.