The fuzzy measure " g " in standard representation can be recovered from the M�bius form using the Zeta transform:
12.
The windows, each set a pair with arched tops, resembled the standard representation of the tablets of the ten commandments.
13.
The mid-sixth-century BC cup from Laconia gives Cerberus three heads and a snake tail, which eventually becomes the standard representation.
14.
People seeking standard representation for the 600, 000 District of Columbia residents describe their status as being disfranchised in relation to the federal government.
15.
It is similarly defined, the difference being that the transformation rule under Lorentz transformations is given by a representation other than the standard representation.
16.
This means exactly that covariant vectors ( thought of as column matrices ) transform according to the dual representation of the standard representation of the Lorentz group.
17.
It is more widely used and is the standard representation in dictionaries such as SSKJ . The tonemic system also includes tone as part of the representation.
18.
The values at 1 of the Lusztig Vogan polynomials give the coefficients of the matrices relating the standard representations ( whose characters are easy to describe ) with the irreducible representations.
19.
To do this only requires a memorization of representations for the digits zero through nine, although non-standard representations are possible since squares can hold more than one checker.
20.
Richard P . Stanley calls the same choice of representation the " standard representation " of a permutation . and Martin Aigner uses the term " standard form " for the same notion.