one-to-one correspondence in a sentence

1. Two sets are said to be equivalent if and only if they can be placed in one-to-one correspondence .
2. It is legitimate to envisage a more or less one-to-one correspondence between cloud nucleus concentration and the concentration of cloud droplets .
3. These two mechanisms are not the one - to - one correspondence , but merge each other , having together effects
4. We show that there is a one - to - one correspondence between the complex symmetric compact set and the spectrum of the real operator
5. Often you make the simplifying assumption that the subsystem has a one - to - one correspondence with the enterprise components
6. It's difficult to find one-to-one correspondence in a sentence.
7. In this case , matchstring and newstring must be the same length , because there is a one - to - one correspondence between their characters
8. Property should preserve object identity and should only be used to return objects that have a one - to - one correspondence to their respective overlaid items
9. When the four bases order is definite , the amino acid order of one - to - one correspondence protein is definite , and genes determined ultimately the feature of organisms
10. For maximum nongaussianity estimation , uniqueness means that there is a one - to - one correspondence between local maxima of nongaussianity and independent sources . different from the former works , e . g . ,
11. This dissertation introduces the idea of extracting skeleton in digital image processing , develops a skeleton - based approach for solving the tiling problem that inserts intermediate section and establishes a one - to - one correspondence of contours between sections
12. The main results are as follows : ( 1 ) there exists an one - to - one correspondence between the invariant measures of mutually topologically equivalent semi - flows , and there also exists an one - to - one correspondence between the invariant measures of a continuous map and that of its suspended semi - flow
13. In the first chapter , the one - to - one correspondence between mild solutions of an abstract deday equation and mild solutions of an associated abstract cauchy problem is shown , and necessary and sufficient conditions for existence and uniqueness of mild solutions of the abstract delay equation are obtained
14. Then we have : theorem 1 provided that h = be a weak hopf - coalgebra ; then we have : in the third section , we mainly study the - comudules : the weak hopf - comodules ; and we get the main results as : theorem 2 suppose c is a - coalgebra , then we say : ( a ) there is a one - to - one correspondence between ( isomorphic classses of ) right - comoduleover c and ( isomorphic classes of ) rational - graded left c * - modules