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Anixx
  • Member for 13 years, 5 months
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1 vote
0 answers
112 views

Building representation of an arbitrary umbral calculus

0 votes
0 answers
105 views

Is it possible to consistently and naturally define this subset of Hardy field?

1 vote
1 answer
330 views

How to represent infinite matrices in Mathematica?

0 votes
0 answers
71 views

In umbral calculus, what is the established value of $\operatorname{eval}\ln (B+1)$?

3 votes
0 answers
178 views

What's the meaning of this relation between volumes of $n$-balls and umbral calculus?

-3 votes
1 answer
234 views

Why surreal numbers cannot be extended further in this way using measure approach?

0 votes
2 answers
369 views

What are the properties of umbra with moments $\{1,1/2,1/3,1/4,1/5,...\}$?

-2 votes
1 answer
382 views

What is Bernoulli umbra philosophically?

0 votes
0 answers
107 views

What are the properties of square-matrix algebra with this equivalence class?

1 vote
0 answers
102 views

Crazy conjecture about Bernoulli umbra and reference request

3 votes
0 answers
366 views

Extending reals with logarithm of zero: properties and reference request

4 votes
0 answers
130 views

Is there an accurate representation of Bernoulli umbra?

-2 votes
1 answer
116 views

Is there a formula or algorithm to remove infinitesimal and oscillating parts from an expression while keeping finite and infinite ones? [closed]

6 votes
0 answers
302 views

Is there any intuition of why the both, regularized logarithm of zero is $-\gamma$ and the regularized logarithm of Bernoulli umbra is $-\gamma$?

1 vote
2 answers
236 views

What's the true regularized value of product of all natural numbers?

1 vote
0 answers
97 views

Intuitively, what makes Bernoulli umbra so similar to the zero divisors in split-complex numbers?

2 votes
1 answer
286 views

Why we can analytically define $ε$ in dual numbers so to distinguish $ε$ from $-ε$ but cannot do so in complex and split-complex numbers?

4 votes
1 answer
320 views

Can a general quintic be solved using inverse beta regularized function?

-4 votes
1 answer
223 views

What are the properties of 3-dimensional split-complex numbers?

1 vote
0 answers
130 views

Do the equalities $\int_0^∞1dx·\int _0^∞1dx=2\int_0^∞xdx$ and $\int_0^∞e^xdx·\int_0^∞e^xdx=2\int_0^∞e^{2 x}dx-2\int_0^∞e^xdx$ make sense?

1 vote
0 answers
108 views

What is some algebraic intuition behind the fact that the (real part) of the logarithm of Bernoulli umbra plus $1$, is $-\gamma$?

3 votes
0 answers
139 views

Interpreting umbral calculus in terms of some kind of extended numbers

23 votes
6 answers
4k views

Anti-delta function?

0 votes
1 answer
124 views

Levi-Civita field in unusual basis

10 votes
1 answer
524 views

In surreal numbers, what is $\ln \omega$?

1 vote
2 answers
194 views

In the Levi-Civita field, are there elements such that the standard parts of their subsequent powers produce an arbitrary sequence?

0 votes
0 answers
71 views

Generalization of Levi-Civita type construction towards divergent integrals and corresponding questions

0 votes
1 answer
156 views

Representing split-complex numbers as intervals and related compactification

2 votes
1 answer
223 views

Is the number of values the sign function can take on a ring ("signedness") of any fundamental importance? Can it be predicted?

1 vote
0 answers
205 views

What's the regularized value of these divergent integrals: $\int_0^\infty \ln x \, dx$ and $\int_0^\infty \frac{\ln x}{x^2} \, dx$?

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