Surjection example sentences

"Surjection" Example Sentences

1. Surjection is a fundamental concept in abstract algebra.
2. The professor explained the properties of a surjection with clarity.
3. Understanding surjections is crucial for advanced mathematics.
4. A surjection maps every element in the codomain to at least one element in the domain.
5. He proved the theorem using the concept of surjection.
6. Is this function a surjection?
7. The proof relies heavily on the definition of a surjection.
8. We need to show that this mapping is a surjection to complete the argument.
9. Many students struggle initially with the idea of a surjection.
10. The textbook provides a clear illustration of a surjection.
11. For a surjection, every element in the codomain must have a pre-image.
12. It's important to distinguish between injection and surjection.
13. This example demonstrates a surjection, but not an injection.
14. A bijection is both an injection and a surjection.
15. The concept of surjection is essential in set theory.
16. His research focused on the applications of surjections in topology.
17. Are all functions surjections?
18. The problem requires identifying whether the function is a surjection.
19. Understanding surjections helps clarify many mathematical concepts.
20. Let's analyze this function to determine if it’s a surjection.
21. The existence of a surjection proves the cardinality relationship.
22. Conversely, the absence of a surjection indicates a different cardinality.
23. We can prove this using a surjection from set A to set B.
24. The proof involves constructing a surjection between the two sets.
25. His explanation of surjections was exceptionally clear.
26. This function is a surjection, therefore it's onto.
27. This is not a surjection because element 'y' has no preimage.
28. Determining whether a function is a surjection can be challenging.
29. The key to solving this is understanding surjections.
30. It's a simple surjection.
31. The mapping exhibits properties of a surjection.
32. This is an example of a non-surjection.
33. Only if it's a surjection can we proceed with the proof.
34. A surjection is also known as an onto function.
35. Conversely, a surjection may not be an injection.
36. The concept of a surjection simplifies the problem significantly.
37. The algorithm efficiently checks for surjections.
38. We can construct a surjection between these two infinite sets.
39. The application of surjections extends to many fields.
40. Prove that this function is a surjection.
41. Given this function, is it a surjection?
42. The proof hinges on the properties of surjections.
43. She elegantly demonstrated the surjection using a visual aid.
44. It's not always obvious whether a function is a surjection.
45. The properties of surjection are fundamental to category theory.
46. Advanced concepts build upon the basic understanding of surjections.
47. The examination question tested our knowledge of surjections.
48. A surjection maps each element of the domain to one or more elements of the codomain.
49. With careful analysis, the surjection becomes apparent.
50. The definition of surjection is clear and concise.