"Bijection" Example Sentences
1. The function has a bijection between its two sets.
2. Proof of the inverse function's bijection is necessary.
3. The bijection between the two sets was a surprise.
4. It was easy to prove the bijection between the sets.
5. The bijection between the two sets was proven with ease.
6. The bijection was confirmed with a mathematical proof.
7. There was no bijection between the two sets.
8. The function was not a proper bijection.
9. A bijection was required to prove the theorem.
10. The bijection between the sets was established quickly.
11. The theorem relied on the bijection between the two sets.
12. The bijection was crucial for the proof.
13. The bijection was a key factor in the proof.
14. The proof relied on a bijection.
15. The bijection was confirmed by many mathematicians.
16. Without a bijection, the theorem could not be proven.
17. The bijection proved to be the missing piece of the puzzle.
18. The proof of the bijection was straightforward.
19. The bijection was a fundamental concept in the proof.
20. The theorem relied heavily on the bijection.
21. The bijection was a fundamental concept in the theory.
22. The proof relied on the existence of a bijection.
23. It was clear that there was a bijection between the sets.
24. The existence of a bijection was assumed.
25. The existence of a bijection was proved by a previous study.
26. The bijection was a well-known result.
27. The bijection was established early on in the study.
28. The bijection provided a clear understanding of the theorem.
29. The bijection was the focus of the study.
30. The bijection was a fundamental result in the field.
Common Phases
1. A
bijection is a one-to-one correspondence between two sets;
2. To prove a
bijection between two sets, one must show that it is both injective and surjective;
3. If there exists a
bijection between two sets, they must have the same cardinality;
4. The inverse of a
bijection is also a
bijection;
5. If there is a
bijection between two sets, they are said to be equipotent;
6. A function is a
bijection if and only if it has a two-sided inverse.