检索结果-南通市图书馆

同方期刊数据库

Triples of almost primes

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2023年第12期66卷 2779-2794页

作者： Jiamin Li jianya liu School of Mathematics Shandong UniversityJinan 250100China

The k-tuple conjecture of Hardy and Little wood predicts that there are infinitely many primes p such that p+2 and p+6 are primes *** this paper,we prove that there are infinitely many primes p such that Ω(p+2)≤3 and Ω(p+6)≤6,where Ω(n) denotes the total number of prime divisors of an integer *** also prove a better conditional result,with the above Ω(p+6)≤6 replaced by Ω(p+6)≤3,under the Elliott-Halberstam conjecture.

关键词： the k-tuple conjecture of Hardy and Littlewood almost prime vector sieve weighted sieve

人工智能背景下大学生劳动精神培育的逻辑理路

在线全文

学校读者我要写书评

暂无评论

山西高等学校社会科学学报 2024年第3期36卷 47-52页

作者：刘建亚丁颖佳中南大学马克思主义学院湖南长沙410083

弘扬劳动精神是培养社会主义合格建设者和可靠接班人的重要举措,人工智能的发展对大学生劳动精神培育提出了新挑战和新要求。为更好应对人工智能发展带来的对人的意志、道德和社会角色的挑战,在辛勤劳动中承继奉献传统、在诚实劳动中坚... 详细信息

弘扬劳动精神是培养社会主义合格建设者和可靠接班人的重要举措,人工智能的发展对大学生劳动精神培育提出了新挑战和新要求。为更好应对人工智能发展带来的对人的意志、道德和社会角色的挑战,在辛勤劳动中承继奉献传统、在诚实劳动中坚守奋斗本心、在创造性劳动中弘扬创造新风,需注重理论引导与实践践行的结合,推动传统教学模式和现代科学技术相融合,通过理论引领、实践夯实、科技助力等方式培育大学生的劳动精神,推动高校劳动育人的新发展。

关键词：人工智能大学生劳动精神劳动教育

Primes in arithmetic progressions with friable indices

同方期刊数据库博看期刊评论

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2020年第1期63卷 23-38页

作者： jianya liu Jie Wu Ping X School of Mathematics Shandong UniversityJinan 250100China CNRS LAMA 8050 UniversitéParis-Est CréteilCreteil Cedex 94010France Department of Mathematics Xi’an Jiaotong UniversityXi'an 710049China

We consider the numberπ(x,y;q,a)of primes p≤such that p≡a(mod q)and(p-a)/q is free of prime factors greater than *** a suitable form of Elliott-Halberstam conjecture,it is proved thatπ(x,y:q,a)is asymptotic to p(log(x/q)/log y)π(x)/φ(q)on average,subject to certain ranges of y and q,where p is the Dickman ***,unconditional upper bounds are also obtained via sieve *** a typical application,we may control more effectively the number of shifted primes with large prime factors.

关键词： primes in arithmetic progression friable numbers shifted primes sieve

Subsampling bias and the best-discrepancy systematic cross validation

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2021年第1期64卷 197-210页

作者： Liang Guo jianya liu Ruodan Lu Data Science Institute Shandong UniversityWeihai264209China Data Science Institute Shandong UniversityJinan250100China School of Architecture Building and Civil EngineeringLoughborough UniversityLoughboroughLE113TUUK Darwin College University of CambridgeCambridgeCB39EUUK

Statistical machine learning models should be evaluated and validated before putting to *** k-fold Monte Carlo cross-validation(MCCV)procedure uses a pseudo-random sequence to partition instances into k subsets,which usually causes subsampling bias,inflates generalization errors and jeopardizes the reliability and effectiveness of *** on ordered systematic sampling theory in statistics and low-discrepancy sequence theory in number theory,we propose a new k-fold cross-validation procedure by replacing a pseudo-random sequence with a best-discrepancy sequence,which ensures low subsampling bias and leads to more precise expected-prediction-error(EPE)*** with 156 benchmark datasets and three classifiers(logistic regression,decision tree and na?ve bayes)show that in general,our cross-validation procedure can extrude subsampling bias in the MCCV by lowering the EPE around 7.18%and the variances around 26.73%.In comparison,the stratified MCCV can reduce the EPE and variances of the MCCV around 1.58%and 11.85%,*** leave-one-out(LOO)can lower the EPE around 2.50%but its variances are much higher than the any other cross-validation(CV)*** computational time of our cross-validation procedure is just 8.64%of the MCCV,8.67%of the stratified MCCV and 16.72%of the *** also show that our approach is more beneficial for datasets characterized by relatively small size and large aspect *** makes our approach particularly pertinent when solving bioscience classification *** proposed systematic subsampling technique could be generalized to other machine learning algorithms that involve random subsampling mechanism.

关键词： subsampling bias cross validation systematic sampling low-discrepancy sequence best-discrepancy sequence

Functoriality of automorphic L-functions through their zeros

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2009年第1期52卷 1-16页

作者： liu jianya YE YangBo School of Mathematics Shandong UniversityJinan 250100China Department of Mathematics The University of IowaIowa CityIA 52242-1419USA

Let E be a Galois extension of ? of degree l, not necessarily solvable. In this paper we first prove that the L-function L(s, π) attached to an automorphic cuspidal representation π of $ GL_m (E_\mathbb{A} ) $ cannot be factored nontrivially into a product of L-functions over E.Next, we compare the n-level correlation of normalized nontrivial zeros of L(s, π1)…L(s, π k ), where π j , j = 1,…, k, are automorphic cuspidal representations of $ GL_{m_j } (\mathbb{Q}_\mathbb{A} ) $ , with that of L(s,π). We prove a necessary condition for L(s, π) having a factorization into a product of L-functions attached to automorphic cuspidal representations of specific $ GL_{m_j } (\mathbb{Q}_\mathbb{A} ) $ , j = 1,…,k. In particular, if π is not invariant under the action of any nontrivial σ ∈ Gal E/?, then L(s, π) must equal a single L-function attached to a cuspidal representation of $ GL_{m\ell } (\mathbb{Q}_\mathbb{A} ) $ and π has an automorphic induction, provided L(s, π) can factored into a product of L-functions over ?. As E is not assumed to be solvable over ?, our results are beyond the scope of the current theory of base change and automorphic induction.Our results are unconditional when m,m 1,…,m k are small, but are under Hypothesis H and a bound toward the Ramanujan conjecture in other cases.

关键词： automorphic induction automorphic L-function functoriality zero correlation 11F70 11M26 11M41

Double square moments and subconvexity bounds for Rankin-Selberg L-functions of holomorphic cusp forms

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2020年第5期63卷 823-844页

作者： jianya liu Haiwei Sun Yangbo Ye School of Mathematics Shandong UniversityJinan 250100China School of Mathematics and Statistics Shandong UniversityWeihai 264209China Department of Mathematics The University of IowaIowa CityIA 52242-1419USA

Let f and g be holomorphic cusp forms of weights k1 and k2 for the congruence subgroups TO(N1)and Γ0(N2),*** this paper the square moment of the Rankin-Selberg L-function for f and g in the aspect of both weights in ... 详细信息

关键词： automorphic L-function congruence subgroup cusp form holomorphic cusp form Rankin-Selberg L-function square moment subconvexity bound

主旨、特质、价值:习近平文化思想的核心理念论析

在线全文

学校读者我要写书评

暂无评论

安徽乡村振兴研究 2024年第4期3卷 1-11页

作者：刘建亚赵淑帆中南大学马克思主义学院湖南长沙410083

习近平文化思想是新时代文化建设的实践成果,也是新时代文化思想精髓的理论升华。领会习近平文化思想的核心要旨,要对其理论主旨、鲜明特质和实践价值彰显进行综合探析与深入思考。习近平文化思想理论主旨明确,诠释了新时代文化建设的... 详细信息

习近平文化思想是新时代文化建设的实践成果,也是新时代文化思想精髓的理论升华。领会习近平文化思想的核心要旨,要对其理论主旨、鲜明特质和实践价值彰显进行综合探析与深入思考。习近平文化思想理论主旨明确,诠释了新时代文化建设的指导思想、基本原则、思维方法、崇高使命;习近平文化思想特质鲜明,实现了“明体”与“达用”融会贯通、“魂脉”与“根脉”有机结合、“返本”与“开新”统筹兼顾、“党性”与“人民性”共融共生、“民族性”与“世界性”兼收并蓄;习近平文化思想价值意蕴深厚,继承和发展了马克思主义文化理论,为新时代建设社会主义文化强国擘画了宏伟蓝图,为世界文化交流互鉴贡献了中国智慧和中国方案。

关键词：习近平文化思想中华文化新时代文化建设人民性民族性

同方期刊数据库

在线全文

学校读者我要写书评

暂无评论

Foreword

Science China Mathematics 2023年第12期66卷 2665-2666页

作者： Liming Ge jianya liu Jie Wu Academy of Mathematics and Systems Science Chinese Academy of SciencesBeijing 100190China University of New Hampshire DurhamNH 03824USA School of Mathematics Shandong UniversityJinan 250100China CNRS LAMA 8050 Universite Paris-Est Creteil94010 Creteil CedexFrance

This special issue on Analytic Number Theory is dedicated to Jing-run Chen's Theorem(1+2)on the Goldbach Conjecture,the proof of which was first published in SCIENCE CHINA Mathematics exactly 50 years ***-run Chen was... 详细信息

关键词： China Xiamen proof

THE GOLDBACH-VINOGRDOV THEOREM WITH THREE PRIMES IN A THIN SUBSET

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,Series B 1998年第4期19卷 479-488页

作者： liu jianya (Department of Mathematics, Shandong University, Jinan 250100, China.) 山东大学数学系山东济南

It is proved constructively that there exists a thin subset S of primes, satisfying for some absolute constant c＞0, such that every sufficiently large odd integer N can beLet r be prime, and hi positive integers with (bj, r) = 1,j = 1, 2, 3. It is also proved that, for almost all prime moduli r＜ log- N, every sufficiently large odd integer N = b1 + b2 +ba(modr) can be represented as where c ＞ 0 is an absolute constant.

关键词： Goldbach-Vinogradov theorem Exponential sum Primes Arithmetic progression Mean-value theorem