一种基于STM32的NAND flash的块分配框架设计

STM32对大容量数据文件存储与管理问题可通过NAND flash来解决。而NAND flash的高效管理需要文件系统参与。NAND flash有特殊的块读写及擦除机制,一般的嵌入式文件系统组织结构并不完全兼容NAND flash。针对NAND flash的特点兼顾STM32的资源承受力要提出新的NAND flash块分配框架,框架通过块分配槽这种数据结构,在不使用块分配表与垃圾表的情况下,实现了NAND flash均衡负载与垃圾块的回收;同时通过节点分配栈与文件节点表的配合来提高STM32对文件的读写速度,空间利用率和系统性能。仿真实验和计算结果表明该块分配框架可有效提高NAND flash块的均衡负载与节省RAM空间。     

Noncommutative geometry and conformal geometry. III. Vafa–Witten inequality and Poincaré duality

This paper is the third part of a series of papers whose aim is to use the framework of twisted spectral triples to study conformal geometry from a noncommutative geometric viewpoint. In this paper we reformulate the inequality of Vafa–Witten [42] in the setting of twisted spectral triples. This involves a notion of Poincaré duality for twisted spectral triples. Our main results have various consequences. In particular, we obtain a version in conformal geometry of the original inequality of Vafa–Witten, in the sense of an explicit control of the Vafa–Witten bound under conformal changes of metrics. This result has several noncommutative manifestations for conformal deformations of ordinary spectral triples, spectral triples associated with conformal weights on noncommutative tori, and spectral triples associated with duals of torsion-free discrete cocompact subgroups satisfying the Baum–Connes conjecture.     

Left and right centers in quasi-Poisson geometry of moduli spaces

We introduce left central and right central functions and left and right leaves in quasi-Poisson geometry, generalizing central (or Casimir) functions and symplectic leaves from Poisson geometry. They lead to a new type of (quasi-)Poisson reduction, which is both simpler and more general than known quasi-Hamiltonian reductions. We study these notions in detail for moduli spaces of flat connections on surfaces, where the quasi-Poisson structure is given by an intersection pairing on homology.     

Measure of segments which intersect a convex body from rotational formulae

Classical problems in integral geometry and geometric probability involve the kinematic measure of congruent segments of fixed length within a convex body in R³. We give this measure from rotational formulae; that is, from isotropic plane sections through a fixed point. From this result we also obtain a new rotational formula for the volume of a convex body; which is proved to be equivalent to the wedge formula for the volume.     

电解生成亚铁离子返滴定法测定消毒液中过氧化氢含量的数字化实验*

氧化还原与电解的相关知识是中学化学学习的重点内容。应用自主研制的MXLab21先进数字化实验系统电解Fe₂(SO₄)₃溶液,用电解生成的Fe²⁺直接滴定KMnO₄溶液以测定其浓度,再用返滴法测定消毒液中H₂O₂的含量。对恒电流电解的最佳条件如Fe₂(SO₄)₃溶液浓度及电解电流大小进行了优化。该数字化实验系统相比较于常规数字化仪器(或手持技术)的优越性在于其自带电解、搅拌及控制系统,能在电解的同时利用电生物质实现对待测物质的准确测定,测定时间短(不超过4 min)。本实验采用预设终点电势值的方法自动估计滴定终点,不但便捷准确,且呈现出的实时直观的电势和电量随时间变化的动态曲线便于学生理解电解及氧化还原滴定反应的微观本质,对中学化学教学及化学学科核心素养的培养具有重要价值。     

甲烷与氯气取代反应实验的创新设计*

基于甲烷氯代反应的机理,对物质体系、反应容器、光照条件、实验表征等进行分析,创新设计甲烷氯代反应实验,利用数字化实验的压强和温度传感器采集的实验数据为支持,更直观地多重表征甲烷与氯气发生的“取代”过程,对于成功实现甲烷氯代反应实验具有指导意义。     

A Lagrangian for Hamiltonian vector fields on singular Poisson manifolds

On a manifold equipped with a bivector field, we introduce for every Hamiltonian a Lagrangian on paths valued in the cotangent space whose stationary points project onto Hamiltonian vector fields. We show that the remaining components of those stationary points tell whether the bivector field is Poisson or at least defines an integrable distribution—a class of bivector fields generalizing twisted Poisson structures that we study in detail.     

大学物理实验教学仪器的改进

通过仪器电路改进、程序编写等工作,成功改进了数字电流表。改进后的电流表具有量程自动切换功能,实现了对原有数字电流表的量程保护。经实验测试表明,改进后电流表运行稳定,测试结果正确。