Zobrazeno 1 - 10
of 280
pro vyhledávání: '"Slaman P."'
We show that if $E$ is a countable Borel equivalence relation on $\mathbb{R}^n$, then there is a closed subset $A \subset [0,1]^n$ of Hausdorff dimension $n$ so that $E \restriction A$ is smooth. More generally, if $\leq_Q$ is a locally countable Bor
Externí odkaz:
http://arxiv.org/abs/2410.22034
We investigate natural variations of behaviourally correct learning and explanatory learning -- two learning paradigms studied in algorithmic learning theory -- that allow us to ``learn'' equivalence relations on Polish spaces. We give a characteriza
Externí odkaz:
http://arxiv.org/abs/2403.17493
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-13 (2024)
Abstract Cas12a is a promising addition to the CRISPR toolbox, offering versatility due to its TTTV-protospacer adjacent motif (PAM) and the fact that it induces double-stranded breaks (DSBs) with single-stranded overhangs. We characterized Cas12a-me
Externí odkaz:
https://doaj.org/article/f946cc8f449147b18c48df0842134f75
Autor:
Reimann, Jan, Slaman, Theodore A.
We investigate which infinite binary sequences (reals) are effectively random with respect to some continuous (i.e., non-atomic) probability measure. We prove that for every n, all but countably many reals are n-random for such a measure, where n ind
Externí odkaz:
http://arxiv.org/abs/1808.10102
Publikováno v:
Frontiers in Genome Editing, Vol 5 (2023)
CRISPR/Cas9 technology has the potential to significantly enhance plant breeding. To determine the specificity and the mutagenic spectrum of SpCas9 in tomato, we designed 89 g(uide) RNAs targeting genes of the tomato MYB transcription factor family w
Externí odkaz:
https://doaj.org/article/9fd3ef3e7e6d437babb0897271cdd50e
Autor:
Slaman, Theodore A., Yokoyama, Keita
In this paper, we show that $\mathrm{RT}^{2}+\mathsf{WKL}_0$ is a $\Pi^{1}_{1}$-conservative extension of $\mathrm{B}\Sigma^0_3$.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/1711.08704
We give a construction of an absolutely normal real number $x$ such that for every integer $b $ greater than or equal to $2$, the discrepancy of the first $N$ terms of the sequence $(b^n x \mod 1)_{n\geq 0}$ is of asymptotic order $\mathcal{O}(N^{-1/
Externí odkaz:
http://arxiv.org/abs/1707.02628
We construct the base $2$ expansion of an absolutely normal real number $x$ so that, for every integer $b$ greater than or equal to $2$, the discrepancy modulo $1$ of the sequence $(b^0 x, b^1 x, b^2 x , \ldots)$ is essentially the same as that reali
Externí odkaz:
http://arxiv.org/abs/1702.04072
We show that there is a strong minimal pair in the computably enumerable Turing degrees.
Externí odkaz:
http://arxiv.org/abs/1610.03591
We generalize the classical theorem by Jarnik and Besicovitch on the irrationality exponents of real numbers and Hausdorff dimension. Let a be any real number greater than or equal to 2 and let b be any non-negative real less than or equal to 2/a. We
Externí odkaz:
http://arxiv.org/abs/1601.00153