The use of section 136 to detain people in police custody

There has been some research into the police use of section 136, the profile of those detained, and the outcome of the assessment across different types of places of safety, but these studies have tended to focus on London. The aim of the study, which is the subject of this article, was to therefore provide a picture of section 136 usage across England and Wales to detain people in police custody. It sought to identify the demographics of those detained, the length and outcome of the detention and the reasons for variation in the use of police custody across different police force areas

Docking system of androgynous and peripheral type

Soviet and American space engineers have proceeded with creating compatible means for closing and docking spacecraft. It was decided to make a new advanced docking system of a peripheral and androgynous type. Because of a more complex design of the new-type docking mechanism, a number of technical problems arose. To a great extent, the solution of these problems depends on a chosen concept of the docking mechanism. The report deals with the docking system concept accepted by the Soviet engineers as the basis for further development. The description and structural arrangement of the docking system as a whole, its basic assemblies, and a kinematic scheme of the docking mechanism using a system of differentials are given. It should be noted that the experience that was gained from the development of previous docking systems was used to create a new type of docking system. The main problems to be solved in the course of designing and developing the advanced system are noted

The Apollo 14 docking anomaly

Six docking attempts were required to achieve initial latch engagement during the Apollo 14 translunar docking event. Although subsequent performance of the docking hardware was normal, the docking probe was retained for a thorough postflight investigation. Pertinent design details of the docking system, the mission events related to the anomaly, and a discussion of the postflight investigation of the cause of the anomaly are presented

2∞2^\infty-Selmer Rank Parities via the Prym Construction

We derive a local formula for the parity of the $2^{\infty}$-Selmer rank of Jacobians of curves of genus $2$ or $3$ with a $K$-rational $2$-torsion point. We give an explicit example to show how this local formula gives rank parity predictions against which the $2$-parity conjecture may be tested. Our results yield applications to the parity conjecture for semistable curves of genus $3$.Comment: 11 page

Arithmetic of Genus Three Curves and Their Jacobians

The Birch–Swinnerton-Dyer Conjecture predicts that, given an abelian variety A over a number field K, its rank, rk(A/K), is equal to the order of vanishing of its L-function L(A/K, s) at s = 1. A consequence of this is the Parity Conjecture; rk(A/K) and the order of vanishing at s=1 of L(A/K, s) are expected to have the same parity. The parity of the latter is given by the root number w(A/K), and so the Parity Conjecture states that (−1)^rk(A/K) = w(A/K). This thesis investigates what can be said about the Parity Conjecture when A is the Jacobian of a curve of genus 3. Part of this requires developing the local theory of non-hyperelliptic genus 3 curves. We introduce a combinatorial object called an octad diagram, which we conjecture to recover the essential data of stable models

Ligand-biased ensemble receptor docking (LigBEnD): a hybrid ligand/receptor structure-based approach.

Ligand docking to flexible protein molecules can be efficiently carried out through ensemble docking to multiple protein conformations, either from experimental X-ray structures or from in silico simulations. The success of ensemble docking often requires the careful selection of complementary protein conformations, through docking and scoring of known co-crystallized ligands. False positives, in which a ligand in a wrong pose achieves a better docking score than that of native pose, arise as additional protein conformations are added. In the current study, we developed a new ligand-biased ensemble receptor docking method and composite scoring function which combine the use of ligand-based atomic property field (APF) method with receptor structure-based docking. This method helps us to correctly dock 30 out of 36 ligands presented by the D3R docking challenge. For the six mis-docked ligands, the cognate receptor structures prove to be too different from the 40 available experimental Pocketome conformations used for docking and could be identified only by receptor sampling beyond experimentally explored conformational subspace

A modular docking mechanism for in-orbit assembly and spacecraft servicing

A Docking Mechanism concept is described which is suitable for use with autonomous docking systems. The central feature of using simple cylindrical handles on one side and a type of prism seating on the other is offered as a practical method of achieving a standardized structural interface without freezing continued development of the latches, either technically or commercially. The main emphasis in docking mechanism concepts is in two directions: (1) a very simple docking mechanism, involving mainly the latch mechanism to achieve a structural link; and (2) a sophisticated Docking Mechanism, where the latch mechanism is designed for nonrigid spacecraft and the achievement of very low dynamic interactions between spacecraft during the docking process