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Apr
18
accepted Is transitive closure defined uniquely?
Apr
18
comment Is transitive closure defined uniquely?
@BrianM.Scott aha... so that would be one wrong assumption on my part.
Apr
18
comment Is transitive closure defined uniquely?
@BrianM.Scott shouldn't a relation relate all elements in its domain in order to be transitive? I think there is a "forall" in the definition...
Apr
18
comment Is transitive closure defined uniquely?
@GitGud I've just cited that definition in my question. Why do you think that it is helping me to answer it?
Apr
18
asked Is transitive closure defined uniquely?
Mar
17
comment Proof that the sum of the limits is the limit of the sum not subtracting infinity
@Zach466920 thanks. I skimmed further through the book and I see nowhere does it mention $x \to \infty$, instead it uses $\delta x \to 0$. I didn't yet find the place where the authors explain this, but it seems like there's a way of avoiding the mention of infinity in this context altogether.
Mar
17
comment Proof that the sum of the limits is the limit of the sum not subtracting infinity
@Zach466920 I'm reading a book (although in the very beginning just yet) which approaches calculus through hyperreals, do you think it might give a better definition? (the book is "Mathematical Background: Foundations of Infinitesimal Calculus").
Mar
17
comment Proof that the sum of the limits is the limit of the sum not subtracting infinity
@Henrik what I mean is is there anything special, that's not a part of the definition of limits in general? Is this a reference to being able to find a value smaller than the difference between the value the limit approaches to and some arbitrary chosen value? (That's not exclusive to infinity).
Mar
17
comment Proof that the sum of the limits is the limit of the sum not subtracting infinity
@Cla I have no idea... is there one?
Mar
17
asked Proof that the sum of the limits is the limit of the sum not subtracting infinity
Mar
16
accepted Does it follow from field axioms that the sum of multiplicative identity with its additive inverse is the additive identity?
Mar
13
comment Does it follow from field axioms that the sum of multiplicative identity with its additive inverse is the additive identity?
@Hayden oh my! Yes it is, well, that was silly indeed :)
Mar
13
asked Does it follow from field axioms that the sum of multiplicative identity with its additive inverse is the additive identity?
Feb
28
accepted What is isobaric function?
Feb
28
comment What is isobaric function?
Oh, sorry, now I figured it. Took me a while... thanks both of you, A.P and Gerry Myerson!
Feb
28
comment What is isobaric function?
Sorry, @GerryMyerson that's not really explaining it. I don't know what property of a polynomial you are referring to. Are there perhaps references online / in the literature that I can read about it?
Feb
28
comment What is isobaric function?
Sorry, the weight of a polynomial is a new concept for me. Is it the highest power of a polynomial?
Feb
28
comment What is isobaric function?
I think I'm getting closer, but, can you extend your answer please by saying what $n$ would be in this case? In other words, are you saying that the number of terms of the polynomial is related to the index in the sequence? (that is my understanding now).
Feb
28
comment What is isobaric function?
@AvZ sounds pretty close, since X and Y are said to have weights :) but I'm still not sure whether this was a typo, and if it was, then what was originally meant?
Feb
28
asked What is isobaric function?