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引导编辑(prime editing,PE)是David Liu实验室新开发的精准基因编辑系统:在PE向导RNA(pegRNAs)的引导下,逆转录酶MMLV与nCas9组成的融合蛋白可实现四种碱基之间的自由替换,以及目标位点碱基的精准插入与删除(详见BioArt报道:专家点评Nature | David Liu再出重磅基因编辑新工具,可实现碱基随意转换与增删)【1】。绝大多数致病遗传变异都是碱基点...
基因组编辑技术可以定向修饰植物基因组,从而大大加速植物育种的进程,是实现作物精准育种的重要技术突破。然而,作物的许多重要农艺性状是由基因组中的单个或少数核苷酸的改变或突变造成的。基于CRISPR/Cas系统的基因组编辑,可利用外源修复模板通过同源重组介导的修复方式(HDR)实现目标基因特定核苷酸的改变。目前,同源重组在植物中的效率非常低,很难以此方式实现高效、稳定的植物基因组的精准编辑。CRISP...
商洛学院数学与计算机应用学院初等数论课件Chapter 1 Prime Numbers.
PRiME 2016     electrochemical  solid-state science       font style='font-size:12px;'> 2016/7/26
This is the largest most significant research conference in the world. Held every four years, this international gathering is the joint effort of The Electrochemical Society (ECS), The Electrochemical...
Prime tight frames     divisible frames  equiangular tight frames  frames  harmonic tight frames  prime frames  spectral tetris frames  tight frames       font style='font-size:12px;'> 2015/12/10
We introduce a class of finite tight frames called prime tight frames and prove some of their elementary properties. In particular, we show that any finite tight frame can be written as a union of pri...
PRIME SPECIALIZATION IN HIGHER GENUS II     Bateman–Horn conjecture  Hardy–Littlewood conjecture       font style='font-size:12px;'> 2015/7/6
We continue the development of the theory of higher-genus M¨obius periodicity that was studied in Part I for odd characteristic, now treating asymptotic questions and the case of characteristic 2. T...
Prime Decomposition in Iterated Towers and Discriminant Formulae     iterated extension  radical extension       font style='font-size:12px;'> 2014/12/8
We explore certain arithmetic properties of iterated extensions. Namely, we compute the index associated to certain families of iterated polynomials and determine the decomposition of prime ideals in ...
Strong pseudoprimes to the first 9 prime bases     Strong Pseudoprimes  Chinese Remainder Theorem       font style='font-size:12px;'> 2012/7/9
Define $\psi_m$ to be the smallest strong pseudoprime to the first $m$ prime bases. The exact value of $\psi_m$ is known for $1\le m \le 8$. Z. Zhang have found a 19-decimal-digit number $Q_{11}=3825\...
A Diophantine problem with prime variables     Diophantine problems with prime variables  Number Theory       font style='font-size:12px;'> 2012/6/14
We study the distribution of the values of the form $\lambda_1 p_1 + \lambda_2 p_2 + \lambda_3 p_3^k$, where $\lambda_1$, $\lambda_2$ and $\lambda_3$ are non-zero real number not all of the same sign,...
We study a suitable mean-square average of primes in short intervals, generalizing Saffari-Vaughan's result. We then apply it to a ternary Diophantine problem with prime variables.
We prove that if $\lambda_1$, $\lambda_2$, $\lambda_3$ and $\lambda_4$ are non-zero real numbers, not all of the same sign, $\lambda_1 / \lambda_2$ is irrational, and $\varpi$ is any real number then,...
We study rational actions of an algebraic torus G by automorphisms on an associative algebra R. The G-action on R induces a stratification of the prime spectrum of R which was introduced by Goodearl a...
Prime number with the product inequality     Number theory  prime number  inequality       font style='font-size:12px;'> 2015/6/3
Positive integer n is between two adjacent prime numbers square, the well-established number of product even distribution of the formula (S) andformula (L), According to the prime number theorem, Mert...
We resolve a function field version of two conjectures concerning the variance of the number of primes in short intervals (Goldston and Montgomery) and in arithmetic progressions (Hooley). A crucial i...
For every odd integer $c\ge 21$, we raise an example of a prime component-preservingly amphicheiral link with minimal crossing number $c$.

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