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visits member for 3 years, 6 months
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15h
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? $0/0=\epsilon^2 \omega^2=(\epsilon\omega)(\epsilon\omega)=1$.
2d
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
revised Is there a special name for pi-based finite difference?
added 9 characters in body
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
revised Is there a special name for pi-based finite difference?
added 6 characters in body
Mar
24
revised Is there a special name for pi-based finite difference?
edited body
Mar
24
revised Is there a special name for pi-based finite difference?
added 45 characters in body
Mar
24
asked Is there a special name for pi-based finite difference?
Mar
24
comment How to define the $0^0$?
The second premise is wrong.
Mar
20
asked What happens if to postulate that complex numbers whose argument differs by $2 \pi$ are not equal?
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
16
revised Is it wrong to tell children that 1/0 = NaN is incorrect, and should be ∞?
added 18 characters in body
Mar
16
answered What is the arithmetic mean of all positive integers less than $1$?
Mar
16
awarded  Organizer
Mar
16
revised Is it wrong to tell children that 1/0 = NaN is incorrect, and should be ∞?
edited tags
Mar
16
answered Is it wrong to tell children that 1/0 = NaN is incorrect, and should be ∞?
Mar
5
asked If the operator is linear but diverges on the basis vectors, how to find its matrix?
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
asked Is there a name for the class of functions which are infinitely integrable in elementary functions?