Bijective example sentences

"Bijective" Example Sentences

1. The function bijective mapping between the sets was elegantly proven.
2. Is this transformation truly bijective?
3. A bijective function ensures a one-to-one correspondence.
4. The professor explained the concept of a bijective mapping in detail.
5. We need a bijective function to solve this problem efficiently.
6. The proof hinges on demonstrating the function's bijective nature.
7. Bijective functions are crucial in cryptography.
8. Understanding bijective functions is essential for advanced mathematics.
9. This algorithm relies on a bijective encoding scheme.
10. The theorem states that the mapping is bijective if and only if...
11. It's not a bijective relationship; some elements are mapped to multiple outputs.
12. The bijective correspondence simplifies the calculations.
13. Finding a bijective transformation is the key challenge.
14. Prove that the given function is bijective.
15. The system uses a bijective hashing algorithm.
16. Only bijective transformations preserve information perfectly.
17. A bijective function has both injective and surjective properties.
18. His dissertation focused on bijective mappings in topological spaces.
19. The argument fails because the mapping isn't bijective.
20. Such a bijective relationship is rare.
21. Therefore, the mapping is demonstrably bijective.
22. The concept of bijective mappings is fundamental.
23. Conversely, if the function is not bijective, then...
24. We can construct a bijective function between these sets.
25. This leads to a bijective correspondence.
26. Are all invertible functions bijective?
27. The elegance of the proof lies in showing the bijective nature of the function.
28. A simple example of a bijective function is f(x) = x.
29. The inverse function exists if and only if the original function is bijective.
30. The bijective property is essential for this algorithm to work correctly.
31. She effortlessly proved the function was bijective.
32. Given a bijective function, find its inverse.
33. The proof that it's bijective is quite involved.
34. However, the function isn't bijective in this case.
35. The existence of a bijective function implies...
36. This bijective transformation is central to our argument.
37. To demonstrate a bijective mapping, we must show both injectivity and surjectivity.
38. If f is bijective, then its inverse f⁻¹ is also bijective.
39. The problem boils down to finding a bijective mapping.
40. The question of whether the function is bijective remains open.
41. Despite its complexity, the function is bijective.
42. We have shown the function to be bijective, thus completing the proof.
43. The newly discovered function is unexpectedly bijective.
44. The algorithm only works if the mapping is bijective.
45. It is bijective and therefore invertible.
46. The bijective nature of this function is key to its application.
47. The mapping is not only injective but also surjective, hence bijective.
48. Determining if a function is bijective can be challenging.
49. This result provides a sufficient condition for a function to be bijective.
50. Bijective functions are a fundamental concept in set theory.