Difference between revisions of "Talk:Additive function"
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"On set functions": "for valued set functions (set functions that map to values)" --- ?? What is meant by "values"? I know what is called the value of a function; but is there a notion of a function that maps something to non-values?? [[User:Boris|Boris]] ([[User talk:Boris|talk]]) 08:03, 19 March 2016 (UTC) | "On set functions": "for valued set functions (set functions that map to values)" --- ?? What is meant by "values"? I know what is called the value of a function; but is there a notion of a function that maps something to non-values?? [[User:Boris|Boris]] ([[User talk:Boris|talk]]) 08:03, 19 March 2016 (UTC) | ||
| + | : At the time (I think, it was a year ago and I was using this as a notebook back then!) I think what happened was I thought "additive function" ''should'' mean any function that preserve addition. So a map {{M|f:X\rightarrow Y}} with the property that {{M|1=f(a+_Xb)=f(a)+_Yf(b)}} for whatever addition meant in {{M|X}} and {{M|Y}}. | ||
| + | : I think I am warning that it may not be true for all structures. However I cannot think of a counter-example right now; either way I've updated the page. I do want to move set functions to their own page though. [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 22:45, 19 March 2016 (UTC) | ||
Revision as of 22:45, 19 March 2016
"Warning about structure": "…⟹f(0)=0 so one must be careful!" --- I do not get the hint; naturally, additive function between groups sends 0 into 0, but why one must be careful? Boris (talk) 07:59, 19 March 2016 (UTC)
"On set functions": "for valued set functions (set functions that map to values)" --- ?? What is meant by "values"? I know what is called the value of a function; but is there a notion of a function that maps something to non-values?? Boris (talk) 08:03, 19 March 2016 (UTC)
- At the time (I think, it was a year ago and I was using this as a notebook back then!) I think what happened was I thought "additive function" should mean any function that preserve addition. So a map f:X→Y with the property that f(a+Xb)=f(a)+Yf(b) for whatever addition meant in X and Y.
- I think I am warning that it may not be true for all structures. However I cannot think of a counter-example right now; either way I've updated the page. I do want to move set functions to their own page though. Alec (talk) 22:45, 19 March 2016 (UTC)
