Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Brier, Éric"'
The Ramanujan Machine project detects new expressions related to constants of interest, such as $\zeta$ function values, $\gamma$ and algebraic numbers (to name a few). In particular the project lists a number of conjectures involving even and odd $\
Externí odkaz:
http://arxiv.org/abs/2211.01058
In 1973, Neil Sloane published a very short paper introducing an intriguing problem: Pick a decimal integer $n$ and multiply all its digits by each other. Repeat the process until a single digit $\Delta(n)$ is obtained. $\Delta(n)$ is called the \tex
Externí odkaz:
http://arxiv.org/abs/2110.04263
Detection of rare traits or diseases in a large population is challenging. Pool testing allows covering larger swathes of population at a reduced cost, while simplifying logistics. However, testing precision decreases as it becomes unclear which memb
Externí odkaz:
http://arxiv.org/abs/2106.10971
In this paper we introduce and discuss the sequence of \emph{real numbers} defined as $u_0 \in \mathbb R$ and $u_{n+1} = \Delta(u_n)$ where \begin{equation*} \Delta(x) = \begin{cases} \frac{x}{2} &\text{if } \operatorname{frac}(x)<\frac{1}{2} \\[4px]
Externí odkaz:
http://arxiv.org/abs/2006.11634
In this paper we consider a variant of Conway's sequence (OEIS A005150, A006715) defined as follows: the next term in the sequence is obtained by considering contiguous runs of digits, and rewriting them as $ab$ where $b$ is the digit and $a$ is the
Externí odkaz:
http://arxiv.org/abs/2006.07246
A look-and-say sequence is obtained iteratively by reading off the digits of the current value, grouping identical digits together: starting with 1, the sequence reads: 1, 11, 21, 1211, 111221, 312211, etc. (OEIS A005150). Starting with any digit $d
Externí odkaz:
http://arxiv.org/abs/2006.06837
Autor:
Beunardeau, Marc, Brier, Éric, Cartier, Noémie, Connolly, Aisling, Courant, Nathanaël, Géraud-Stewart, Rémi, Naccache, David, Yifrach-Stav, Ofer
As humanity struggles to contain the global Covid-19 infection, prophylactic actions are grandly slowed down by the shortage of testing kits. Governments have taken several measures to work around this shortage: the FDA has become more liberal on the
Externí odkaz:
http://arxiv.org/abs/2005.02940
In this paper we describe a new error-correcting code (ECC) inspired by the Naccache-Stern cryptosystem. While by far less efficient than Turbo codes, the proposed ECC happens to be more efficient than some established ECCs for certain sets of parame
Externí odkaz:
http://arxiv.org/abs/1509.00378
Publikováno v:
Journal of Mathematical Cryptology, Vol 14, Iss 1, Pp 224-235 (2020)
This paper introduces new prq-based one-way functions and companion signature schemes. The new signature schemes are interesting because they do not belong to the two common design blueprints, which are the inversion of a trapdoor permutation and the
Externí odkaz:
https://doaj.org/article/ecbb31c89b9e4fcaa5b0ff5bc936ff81
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