Sentence examples for infinitesimal level from inspiring English sources

They are at an infinitesimal level, but we still keep a monitor on them," Kevill added.

The action of the group λ a is thus extended on the infinitesimal level to a Lie algebra action of the affine group.

This action will then be extended on the infinitesimal level to all of Γ × S. Along with this, the conjugation mapping will be defined.

In broad outline, his approach assumes the noise is at a microscopic but not infinitesimal level, which restores the smoothness needed for the differential equation to have a solution.

At first this will be done on the infinitesimal level by defining a multiplier operator M ˆ that plays the role of B ˆ = − i ω in the previous sections.

The representation on (mathfrak {a}(V)^K) is defined at the infinitesimal level on the full complex Lie superalgebra (mathfrak {g}) which is the Howe partner of K in the canonical realization of (mathfrak {osp}) in the Clifford Weyl algebra of (V oplus V^*).

This is true of even the most professional police department in the country, in a city whose crime rate has dropped, in some neighborhoods, to infinitesimal levels.

He explained that nanoparticles, working at atomic scales, can produce semiconductors at more infinitesimal levels than current electronic technology and at lower cost than today's manufacturing plants, which typically cost $5 billion to build.

These are M.D.'s who believe that single or multiple exposures to certain chemicals can cause supersensitivity to a broad range of thousands of common chemicals (even at infinitesimal levels not normally considered toxic to humans), as well as to many foods, molds and sometimes electromagnetic waves.

An analytical relationship between transverse compressive force and displacement is derived at infinitesimal strain level.

as the infinitesimal Lie point transformations.