equipollent

This allows us to prove that there exists an infinite set which is not equipollent with the set of natural numbers.

The tangent vector to an affine geodesic is parallel and equipollent along itself.

Suppose that N is equipollent with its power set P(N).

Sets in such a correlation are often called equipollent, and the correlation itself is called a bijective function.

It is thus said that two sets with the same cardinality are, respectively, "'equipotent"', "'equipollent"', or "'equinumerous"'.

The long-lasting Proporz constellation of two approxiamtely equipollent coalition parties has led to some incrustations in Austrian politics.

Equipollent canonization is recognition of a holy person as a Saint in the Roman Catholic Church, without the formal canonization process.

Only superstition is now so well advanced, that men of the first blood, are as firm as butchers by occupation; and votary resolution, is made equipollent to custom, even in matter of blood.

Abstractly, a parametric curve γ : I M is a straight line if its tangent vector remains parallel and equipollent with itself when it is transported along γ.

A pair (a, b) of points and another pair (c, d) are equipollent precisely if the distance and direction from a to b are respectively the same as the distance and direction from c to d.

Two sets A and B have the same cardinality if there exists a bijection, that is, an injective and surjective function, from A to B. Such sets are said to be equipotent, equipollent, or equinumerous.

Now that we have a handle on what the elements of P(N) look like, let us attempt to pair off each element of N with each element of P(N) to show that these infinite sets are equipollent.

Since December 2001, as a member of the Technical-Scientific Unit termed as "Renewable Sources and Innovative Energetic Cycles", he has been dealing with evaluation methods of strategic options concerning both traditional and new alternative energy sources of "equipollent", such as hydrogen, for example.

The theorem shows that if there is an injective function from set A to set B, and another one from B to A, then there is a bijective function from A to B, and so the sets are equipollent, by the definition we have adopted.