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pro vyhledávání: '"00A05"'
This article proves the following theorem, first enunciated by Roger Penrose about 70 years ago: In $\mathbb{R}P^2$, if regular conics are assigned to seven of the vertices of a combinatorial cube such that (i) conics connected by an edge are in doub
Externí odkaz:
http://arxiv.org/abs/2409.17150
Autor:
Aragão, Francisco, Alcântara, João
When we merge information in Dempster-Shafer Theory (DST), we are faced with anomalous behavior: agents with equal expertise and credibility can have their opinion disregarded after resorting to the belief combination rule of this theory. This proble
Externí odkaz:
http://arxiv.org/abs/2408.08928
Iterative methods such as Jacobi, Gauss-Seidel, and Successive Over-Relaxation (SOR) are fundamental tools in solving large systems of linear equations across various scientific fields, particularly in the field of data science which has become incre
Externí odkaz:
http://arxiv.org/abs/2408.06511
Autor:
E, Vipin K, Padhan, Prahallad
Thermoelectric properties in topological insulator Bi2Se3 are explored with multifaceted strategies, i.e., hybrid functional with strain and artificial intelligence methodology. The assessment with the experimental band gap values recognises the limi
Externí odkaz:
http://arxiv.org/abs/2407.19241
Autor:
Benslimane, Mohamed
Let $U$ be an absolute ultrafilter on the set of non-negative integers $\mathbb{N}$. For any sequence $x=(x_n)_{n\geq 0}$ of real numbers, let $U(x)$ denote the topological filter consisting of the open sets $W$ of $\mathbb{R}$ with $\{n \geq 0, x_n
Externí odkaz:
http://arxiv.org/abs/2405.09603
This paper establishes the optimal sub-Gaussian variance proxy for truncated Gaussian and truncated exponential random variables. The proofs rely on first characterizing the optimal variance proxy as the unique solution to a set of two equations and
Externí odkaz:
http://arxiv.org/abs/2403.08628
Autor:
Kehowski, Walter A.
Let $S_b(n)$ denote the sum of the squares of the digits of the positive integer $n$ in base $b\geq2$. It is well-known that the sequence of iterates of $S_b(n)$ terminates in a fixed point or enters a cycle. Let $N=2n-1$, $n\geq2$. It is shown that
Externí odkaz:
http://arxiv.org/abs/2310.04439
Autor:
Taylor, James
A real number is a rule that, when provided with a rational interval, answers Yes or No depending on if the real number ought to be considered to be in the given interval. Since the goal is to define the real numbers, this can only motivate the defin
Externí odkaz:
http://arxiv.org/abs/2305.04935
Autor:
Taylor, James
A new definition of a real number is that it is a rule which says Yes or No based on whether the real number ought to be in a given rational interval. This is a teaser paper for formalizing, exploring, and generalizing this definition. The full explo
Externí odkaz:
http://arxiv.org/abs/2305.00981
Autor:
Kumbhakar, Manotosh, Singh, Vijay P.
The solution of the governing equation representing the drawdown in a horizontal confined aquifer, where groundwater flow is unsteady, is provided in terms of the exponential integral, which is famously known as the Well function. For the computation
Externí odkaz:
http://arxiv.org/abs/2303.16871