supported by the National Key R&D Program of China(2019YFA0709501);the National Natural Science Foundation of China(61621003);the National Ten Thousand Talent Program for Young Top-notch Talents,the CAS Frontier Science Research Key Project for Top Young Scientist(QYZDB-SSW-SYS008);the Shanghai Municipal Science and Technology Major Project(2017SHZDZX01).
Cell type-specific genomic regulation is driven by the binding of transcription factors(TFs)in accessible genomic regions.Thus,chromatin accessibility can be used to identify cis-regulatory elements and directly depic...
supported by the National Key Research and Development Program of China(2016YFA0301901);the National Natural Science Foundation of China(11374178 and 11574002);the National Research Foundation of Singapore(NRF Award No.NRF-NRFF2016-02 and project NRF2017-NRFANR004 Van Qu Te);the Competitive Research Programme(CRP Award No.NRF-CRP14-2014-02);the Ministry of Education in Singapore Tier 1 RG190/17;the Oxford Martin School
The NOT gate that flips a classical bit is ubiquitous in classical information processing.However its quantum analogue,the universal NOT(UNOT) gate that flips a quantum spin in any alignment into its antipodal counter...
The key of tissue section technique is the selection and application of the embedding agent. Based on the specific characteristics of the tissue and outer skeleton of insects, a new kind of embedding agent, colophony ...
LET D Rn be a bounded domain with C∞ boundary, and λ (x) be a defining function. This means that λ(x) is in C∞(Rn), is bounded and |▽λ|≠0 in some neighborhood o...
1 Notation and Terminology Throughout this note κ is always a regular uncountable cardinal, and λ≥κ acardinal. When we say an ideal I on P_κλ, it means that I is a κ-completenon-principal fine ideal on P_κλ. ...
Project supported by the Natural Science Foundation of Tsinghua University
This note will give some classification results for local and global C^1 diffeomorphisms of R under C^1 conjugacy. For γ=1, 2,…, ∞, ω, let D~γ(0)={f: R→R is C~γ; f’(x)>0, x∈R; and f has 0 asits unique fixe...
Project supported by the National Natural Science Foundation of China
According to [1], recognizing the net-embeddability of a graph is a very hard problem. Up to now, no efficient algorithm has been known. However, this note presents a theoretical account for recognizing the net-embedd...
Let N be a closed, nonorientable surface, M be a simply connected 4-manifold. f: N→M is an embedding with normal bundle vf. The normal Euler class e(vf) of f is an element in H2(N,...
Project supported partially by the National Natural Science Foundation of China
Ⅰ. INTRODUCTION In this report, we study differentiable embeddings of S2 and nonorientable surfaces in simply connected closed 4-manifolds, For S2, we only consider the problem,i.e, which homoto...