1,224 reputation
1720
bio website
location
age
visits member for 3 years, 10 months
seen 5 hours ago

Apr
18
comment Whats an extended complex plane?
@Daniel Fischer mathworld.wolfram.com/ExtendedComplexPlane.html
Apr
17
comment Is the theory of dual numbers strong enough to develop real analysis, and does it resemble Newton's historical method for doing calculus?
@Mike Battaglia maybe it causes problems with distributiveness of multiplication? $0/0=\epsilon^2 \omega^2=(\epsilon\omega)(\epsilon\omega)=1$.
Apr
15
comment Where to find reference about dealing with operators in form of formal power series?
@Michael Hardy in $(D/D)f$ do you mean multiplication or application of operator? I used square brackets to indicate application of operator to a function.
Mar
24
comment Is there a special name for pi-based finite difference?
@nik no, check yourself. Pi is the period of tangent.
Mar
24
comment How to define the $0^0$?
The second premise is wrong.
Mar
17
comment What is the arithmetic mean of all positive integers less than $1$?
@robjohn no. wrong.
Mar
17
comment What is the arithmetic mean of all positive integers less than $1$?
@robjohn what the question is what the answer. If the question has any meaning at all, the answer is 1/2.
Mar
5
comment What is series coefficient for $f(x)=\csc^2 x - \frac1{x^2}$?
it seemed to me that your answer was not finished because it ended with a comma.
Mar
5
comment What is series coefficient for $f(x)=\csc^2 x - \frac1{x^2}$?
I already found the answer to this question: math.stackexchange.com/questions/699611/…
Mar
5
comment Why this function is elementary and its pair is not?
@vonbrand the first one is $\csc^2 x - \frac1{x^2}$, the second one can only be explained using polygamma or Hurwitz zeta.
Mar
5
comment Zero to the zero power - Is $0^0=1$?
One does not exclude the other, this can be both indeterminate form when considering limits, AND defined.
Mar
4
comment Given an even function how to obtain the most close odd function and vise versa?
@user86418 tanh(nx) is not discrete-analytic for large enough n, see here for a similar case: mathoverflow.net/questions/99166/…
Mar
4
comment Given an even function how to obtain the most close odd function and vise versa?
@user86418 thanks, I have addressed this.
Jan
8
comment How is called the class of functions whose inverse function is a polynomial?
@Karene I doubt that inverse to any algebraic function is a polynomial.
Nov
6
comment Is there an example of an analytic function whose derivative is not analytic?
What about real analysis?
Nov
6
comment Is there an example of an analytic function whose derivative is not analytic?
So? Does having Taylor series prevent having unanalytic derivative?
Oct
2
comment How this operation is called?
It seems this operator works on binomial convolution like a derivative on a product.
May
24
comment What does a probability of $1$ mean?
"That doesn't mean there aren't any integers though." - but it either does not mean that you can pick an integer.
May
24
comment What does a probability of $1$ mean?
@vadim123 so where are you in the chat?
May
24
comment What does a probability of $1$ mean?
@ruakh oh sorry, I see now.