Sentence examples for characterizing up from inspiring English sources

This is done by global methods: since the associated Euler functional might be unbounded from below, we define a new model space, generalizing the so-called space of formal barycenters and characterizing (up to homotopy equivalence) its low sublevels.

The strategy we propose for characterizing up and down states in electrophysiological data is based on a method widely used in financial data analysis: crossover of moving averages.

Each material of the PM microgenerator is magnetically or electrically characterized up to 375 °C.

Second, objects are always characterized up to isomorphism (in the best cases, up to a unique isomorphism).

At the present time the linac has been tested and the electron beam characterized up to the maximum operating energy (150 MeV).

Finally, the thermal diffusivity of coatings was characterized up to 523 K with the use of laser flash method and thermal conductivities of coatings were determined.

We show that every unitary representation π of a connected Lie group G is characterized up to quasi-equivalence by its complete moment set.

Similarly, the ordered field of real numbers, (R, 0, 1, +, ×, <), can be characterized up to isomorphism by the first-order axioms for an ordered field, together with the second-order sentence expressing the least-upper-bound property.

It is hard to resist the temptation to think that category theory embodies a form of structuralism, that it describes mathematical objects as structures since the latter, presumably, are always characterized up to isomorphism.

The sensor array is also characterized up to 1.4 MPa and the sensitivities of 13.7 fF/kPa and 13.4 fF/kPa is observed at temperatures of 20 ℃ and 180 ℃, respectively.

The only cyanobacterial ion channels characterized up to now are the prokaryotic glutamate receptor GluR0 [5] and the ligand-gated channel GLIC [6].