The structure constants can be chosen to be (2.6).
Then the differential form is of the class on with the structure constants,, and.
The structure constants are skew-symmetric in the lower indices a, b.
By assumptions, the function satisfies (3.4) with (3.2), (3.3) and structure constants,,.
Let be -dimensional connected noncompact Riemannian manifolds and let be a growth function on, which is a positive subsolution of (3.4) with structure constants,,.
The bracket ([cdot, cdot]) can be specified by structure constants (C_{ab}^{c}) via the formula [X_{a}, X_{b}]= C_{ab}^{c} X_{c}.
He-droplet-induced changes of the hyperfine structure constants of alkali-metal atoms are investigated by a combination of relativistically corrected ab initio methods with a simulation of the helium density distribution based on He density functional theory.
Similarly, a number known as the fine structure constant characterizes the strength of electromagnetic forces.
The amount of splitting is characterized by a dimensionless constant called the fine-structure constant.
In the last analysis, they point out, all physical measurements boil down to a few dimensionless constants like the fine structure constant, alpha.
