Is injective the same as one-to-one?
Could you please clarify for me the relationship between "injective" and "one-to-one" in mathematics? Are they interchangeable terms, or do they refer to slightly different concepts? I'm trying to understand the nuances of these terms in the context of functions and mappings. If they are not the same, could you explain the key differences between them? Additionally, how do these terms apply to functions in cryptography or finance, specifically in the realm of cryptocurrency? Thank you for your assistance in clarifying this matter.
Why is injective called one-to-one?
Could you please elaborate on why the term "injective" is referred to as "one-to-one"? It seems like an interesting nomenclature choice that I'd like to understand better. Could you explain the mathematical basis behind this naming convention? Additionally, is there a specific reason why it's called injective rather than using other descriptors? I'm curious to know the historical context or any other relevant information that might shed light on this terminology. Thank you for taking the time to answer my question!