From this, the Chern classes and characteristic numbers can be calculated.

Formally, given such that , the corresponding characteristic number is:

To compare a real situation (e.g. an aircraft) with a small-scale model it is necessary to keep the important characteristic numbers the same.

Characteristic numbers are dimensionless numbers used in fluid dynamics to describe a character of the flow.

"Ishtar's characteristic number is fifteen.

ISO 31-12 gives name, symbol and definition for 25 selected characteristic numbers used for the description of transport phenomena.

The members of the LDLR family are characterized by distinct functional domains present in characteristic numbers.

Bearing characteristic number:

D Burns, C L Epstein, Characteristic numbers of bounded domains.

Characteristic number (fluid dynamics)

The oriented cobordism group is determined by the Stiefel-Whitney and Pontrjagin characteristic numbers (Wall, 1960).

Characteristic classes are elements of cohomology groups; one can obtain integers from characteristic classes, called characteristic numbers.

The number was also significant in Egyptian mythology, as it was the characteristic number of Anubis, the jackal-headed god of death and mummification.

In the design of fluid bearings, the Sommerfeld number, or bearing characteristic number, is a dimensionless quantity used extensively in hydrodynamic lubrication analysis.

This also works for non-orientable manifolds, which have a -orientation, in which case one obtains -valued characteristic numbers, such as the Stiefel-Whitney numbers.

Since viscosity, velocity, and load determine the characteristics of a hydrodynamic condition, a bearing characteristic number was developed based on the effects of these on film thickness.

In the language of characteristic numbers, the Euler characteristic is the characteristic number corresponding to the Euler class.

Short list of characteristic numbers, taken from Giro Radamés' Diccionario enciclopédico de la música en Cuba and compilation albums:

A cysticercoid is an inflated sphere with distinct rostellar hooks, and each species has characteristic number and size of the hooks, which correspond to those of adult worms.

The number of distinct characteristic numbers is the number of monomials of degree n in the characteristic classes, or equivalently the partitions of n into .

Curiously enough the number of rods is uniform for each species of animal, though different numbers are characteristic of different species; the characteristic number for man is twenty-four.

These two processes lead to a reduction in the number of chromosomes, so that finally every human germinal cell contains twelve, and therefore when the ovum is fertilized the characteristic number twenty-four is restored.

The cobordism class of a closed unoriented n-dimensional manifold M is determined by the Stiefel-Whitney characteristic numbers of M, which depend on the stable isomorphism class of the tangent bundle.

Characteristic numbers solve the oriented and unoriented bordism questions: two manifolds are (respectively oriented or unoriented) cobordant if and only if their characteristic numbers are equal.

The Official Municipality Key, formerly also known as the Official Municipality Characteristic Number or Municipality Code Number, is a number sequence for the identification of politically independent municipalities or unincorporated areas.