Sentence examples for in lower dimensions from inspiring English sources

We show that in lower dimensions, there is no stable positive solutions in the whole space.

Additional work focuses on atom lasers, atom interferometry, atom waveguides, surface physics, quantum reflection, many body physics in lower dimensions, plasmas, and electromagnetics.

A 3D geological modeling method is a vital module which converts raw data in lower dimensions into 3D bodies.

A hybrid Markov Chain Monte Carlo simulation is employed in this paper to decompose the high-dimensional Bayesian updating problem into a series of updating problems in lower dimensions.

The result proved that EMS application is an effective method in breeding new rice germplasm with HR and SOM is an important tool for visualizing the multi-dimensional dataset in lower dimensions.

We describe the principle of strain tomography by high-energy X-ray diffraction, i.e. reconstruction of the higher dimensional distribution of strain within an object from multiple scans in lower dimensions, and illustrate the application of this principle to a simple case of reconstruction of an axisymmetric residual strain state induced in a cylindrical sample by quenching.

Topological pure gauge theories in lower dimension are presented as a warm-up.

In lower dimension case (3⩽n⩽6), we show that its solution converges to that of the energy-critical nonlinear Schrödinger equation in C 0,T,˙Hs(Rn)), T>0, s= 0,1, as a by-product, we get the regularity of solutions in H3 for the nonlinear Schrödinger equation.

Such an assumption can be reasonable when the dimension of the biomarkers collected in each sample is large but may not be satisfied in lower dimension biomedical data.

If the subnetwork N ′ has to be analysed, PEMs might be more relevant than EMs, as they are in lower dimension and easier to study.

After the identification of the active factors, the design is projected into lower dimensions in order to entertain and estimate significant effects.