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Lectures on Representations of Surface Groups

Francois Labourie, Universite Paris Sud - A publication of the European Mathematical Society, 2013, 146 pp., Softcover, ISBN-13: 978-3-03719-127-9, List: US$38, All AMS Members: US$30.40, EMSZLEC/17

The subject of these notes is the character variety of representations of a surface group in a Lie group. The author emphasizes the various points of...




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Capacity Theory with Local Rationality: The Strong Fekete-Szego Theorem on Curves

Robert Rumely, University of Georgia - AMS, 2013, 437 pp., Hardcover, ISBN-13: 978-1-4704-0980-7, List: US$119, All AMS Members: US$95.20, SURV/193

This book is devoted to the proof of a deep theorem in arithmetic geometry, the Fekete-Szegö theorem with local rationality conditions. The...




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From Newton to Boltzmann: Hard Spheres and Short-Range Potentials

Isabelle Gallagher, Universite Paris Diderot, Laure Saint-Raymond, Ecole Normale Superieure, and Benjamin Texier, Universite Paris Diderot - A publication of the European Mathematical Society, 2014, 150 pp., Softcover, ISBN-13: 978-3-03719-129-3, List: US$38, All AMS Members: US$30.40, EMSZLEC/18

The question addressed in this monograph is the relationship between the time-reversible Newton dynamics for a system of particles interacting via...




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Lecture Notes on Cluster Algebras

Robert J. Marsh, University of Leeds - A publication of the European Mathematical Society, 2014, 122 pp., Softcover, ISBN-13: 978-3-03719-130-9, List: US$36, All AMS Members: US$28.80, EMSZLEC/19

Cluster algebras are combinatorially defined commutative algebras which were introduced by S. Fomin and A. Zelevinsky as a tool for studying the dual...




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Hodge Theory, Complex Geometry, and Representation Theory

Robert S. Doran, Greg Friedman, and Scott Nollet, Texas Christian University, Editors - AMS, 2014, approx. 318 pp., Softcover, ISBN-13: 978-0-8218-9415-6, List: US$113, All AMS Members: US$90.40, CONM/608

This volume contains the proceedings of an NSF/Conference Board of the Mathematical Sciences (CBMS) regional conference on Hodge theory, complex...




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Classification and Identification of Lie Algebras

Libor Snobl, Czech Technical University, and Pavel Winternitz, Centre de Recherches Mathematiques, and Universite de Montreal - AMS | CRM, 2014, 306 pp., Hardcover, ISBN-13: 978-0-8218-4355-0, List: US$124, All AMS Members: US$99.20, CRMM/33

The purpose of this book is to serve as a tool for researchers and practitioners who apply Lie algebras and Lie groups to solve problems arising in...




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Ring Theory and Its Applications

Dinh Van Huynh, S. K. Jain, and Sergio R. Lopez-Permouth, Ohio University, and S. Tariq Rizvi and Cosmin S. Roman, Ohio State University, Editors - AMS, 2014, 311 pp., Softcover, ISBN-13: 978-0-8218-8797-4, List: US$113, All AMS Members: US$90.40, CONM/609

This volume contains the proceedings of the Ring Theory Session in honor of T. Y. Lam's 70th birthday, at the 31st Ohio State-Denison Mathematics...




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Perspectives in Representation Theory

Pavel Etingof, Massachusetts Institute of Technology, Mikhail Khovanov, Columbia University, and Alistair Savage, University of Ottawa, Editors - AMS, 2014, 370 pp., Softcover, ISBN-13: 978-0-8218-9170-4, List: US$126, All AMS Members: US$100.80, CONM/610

This volume contains the proceedings of the conference Perspectives in Representation Theory, held from May 12-17, 2012, at Yale University, in honor...




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Harmonic Analysis and Partial Differential Equations

Patricio Cifuentes and Jose Garcia-Cuerva, Universidad Autonoma de Madrid, Gustavo Garrigos, Universidad de Murcia, Eugenio Hernandez, Universidad Autonoma de Madrid, Jose Maria Martell, Javier Parcet, and Keith M. Rogers, Consejo Superior de Investigaciones Cientificas, and Alberto Ruiz, Fernando Soria, and Ana Vargas, Universidad Autonoma de Madrid, Editors - AMS, 2014, 178 pp., Softcover, ISBN-13: 978-0-8218-9433-0, List: US$78, All AMS Members: US$62.40, CONM/612

This volume contains the Proceedings of the 9th International Conference on Harmonic Analysis and Partial Differential Equations, held June 11-15,...




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Near Soliton Evolution for Equivariant Schrodinger Maps in Two Spatial Dimensions

Ioan Bejenaru, University of California, San Diego, and Daniel Tataru, University of California, Berkeley - AMS, 2014, 108 pp., Softcover, ISBN-13: 978-0-8218-9215-2, List: US$76, All AMS Members: US$60.80, MEMO/228/1069

The authors consider the Schrödinger Map equation in (2+1) dimensions, with values into (mathbb{S}^2). This admits a lowest energy steady...




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Large Deviations for Additive Functionals of Markov Chains

Alejandro D. de Acosta and Peter Ney - AMS, 2014, 108 pp., Softcover, ISBN-13: 978-0-8218-9089-9, List: US$76, All AMS Members: US$60.80, MEMO/228/1070

For a Markov chain ({X_j}) with general state space (S) and ({f:S ightarrowmathbf{R}^d}), the large deviation principle for...




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Relative Equilibria in the 3-Dimensional Curved (n)-Body Problem

Florin Diacu, University of Victoria - AMS, 2014, 80 pp., Softcover, ISBN-13: 978-0-8218-9136-0, List: US$71, All AMS Members: US$56.80, MEMO/228/1071

The author considers the (3)-dimensional gravitational (n)-body problem, (nge 2), in spaces of constant Gaussian curvature (kappa e 0), i.e....




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Spectra of Symmetrized Shuffling Operators

Victor Reiner, University of Minnesota, Franco Saliola, Universite du Quebec a Montreal, and Volkmar Welker, Philipps-Universitaet Marburg - AMS, 2014, 109 pp., Softcover, ISBN-13: 978-0-8218-9095-0, List: US$76, All AMS Members: US$60.80, MEMO/228/1072

For a finite real reflection group (W) and a (W)-orbit (mathcal{O}) of flats in its reflection arrangement--or equivalently a conjugacy class of...




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Nonlinear Stability of Ekman Boundary Layers in Rotating Stratified Fluids

Hajime Koba, Waseda University - AMS, 2014, 127 pp., Softcover, ISBN-13: 978-0-8218-9133-9, List: US$79, All AMS Members: US$63.20, MEMO/228/1073

A stationary solution of the rotating Navier-Stokes equations with a boundary condition is called an Ekman boundary layer. This book constructs...




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Classical Mechanics with Calculus of Variations and Optimal Control: An Intuitive Introduction

Mark Levi, Pennsylvania State University - AMS, 2014, 299 pp., Softcover, ISBN-13: 978-0-8218-9138-4, List: US$42, All AMS Members: US$33.60, STML/69

It is hard to imagine a more original and insightful approach to classical mechanics. Most physicists would regard this as a well-worn and settled...




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Group Theory, Combinatorics, and Computing

Robert Fitzgerald Morse, University of Evansville, Daniela Nikolova-Popova, Florida Atlantic University, and Sarah Witherspoon, Texas A & M University, Editors - AMS, 2014, 187 pp., Softcover, ISBN-13: 978-0-8218-9435-4, List: US$78, All AMS Members: US$62.40, CONM/611

This volume contains the proceedings of the International Conference on Group Theory, Combinatorics and Computing held from October 3-8, 2012, in Boca...




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Topology and Field Theories

Stephan Stolz, University of Notre Dame, Editor - AMS, 2014, 176 pp., Softcover, ISBN-13: 978-1-4704-1015-5, List: US$78, All AMS Members: US$62.40, CONM/613

This book is a collection of expository articles based on four lecture series presented during the 2012 Notre Dame Summer School in Topology and Field...




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The Joys of Haar Measure

Joe Diestel, Kent State University, and Angela Spalsbury, Youngstown State University - AMS, 2013, 320 pp., Hardcover, ISBN-13: 978-1-4704-0935-7, List: US$65, All AMS Members: US$52, GSM/150

From the earliest days of measure theory, invariant measures have held the interests of geometers and analysts alike, with the Haar measure playing an...




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Pearls from a Lost City: The Lvov School of Mathematics

Roman Duda, University of Wroclaw - Translated by Daniel Davies - AMS, 2014, approx. 216 pp., Hardcover, ISBN-13: 978-1-4704-1076-6, List: US$39, All AMS Members: US$31.20, HMATH/40

The fame of the Polish school at Lvov rests with the diverse and fundamental contributions of Polish mathematicians working there during the interwar...




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Really Big Numbers

Richard Evan Schwartz, Brown University - AMS, 2014, 192 pp., Softcover, ISBN-13: 978-1-4704-1425-2, List: US$25, All AMS Members: US$20, MBK/84

A superb, beautifully illustrated book for kids -- and those of us still children at heart -- that takes you up (and up, and up,and up, and up, and...




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Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces

David Dos Santos Ferreira, Universite Paris 13, and Wolfgang Staubach, Uppsala University - AMS, 2013, 65 pp., Softcover, ISBN-13: 978-0-8218-9119-3, List: US$63, All AMS Members: US$50.40, MEMO/229/1074

The authors investigate the global continuity on (L^p) spaces with (pin [1,infty]) of Fourier integral operators with smooth and rough amplitudes...




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Operator-Valued Measures, Dilations, and the Theory of Frames

Deguang Han, University of Central Florida, David R. Larson, Texas A&M University, Bei Liu, Tianjin University of Technology, and Rui Liu, Nankai University - AMS, 2013, 84 pp., Softcover, ISBN-13: 978-0-8218-9172-8, List: US$65, All AMS Members: US$52, MEMO/229/1075

The authors develop elements of a general dilation theory for operator-valued measures. Hilbert space operator-valued measures are closely related to...




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Semiclassical Standing Waves with Clustering Peaks for Nonlinear Schrodinger Equations

Jaeyoung Byeon, KAIST, and Kazunaga Tanaka, Waseda University - AMS, 2013, 89 pp., Softcover, ISBN-13: 978-0-8218-9163-6, List: US$71, All AMS Members: US$56.80, MEMO/229/1076

The authors study the following singularly perturbed problem: (-epsilon^2Delta u+V(x)u = f(u)) in (mathbf{R}^N). Their main result is the...




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Cohomology for Quantum Groups via the Geometry of the Nullcone

Christopher P. Bendel, University of Wisconsin-Stout, Daniel K. Nakano, University of Georgia, Brian J. Parshall, University of Virginia, and Cornelius Pillen, University of South Alabama - AMS, 2013, 93 pp., Softcover, ISBN-13: 978-0-8218-9175-9, List: US$71, All AMS Members: US$56.80, MEMO/229/1077

Let (zeta) be a complex (ell)th root of unity for an odd integer (ell>1). For any complex simple Lie algebra (mathfrak g), let...




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On the Spectra of Quantum Groups

Milen Yakimov, Louisiana State University - AMS, 2013, 91 pp., Softcover, ISBN-13: 978-0-8218-9174-2, List: US$71, All AMS Members: US$56.80, MEMO/229/1078

Joseph and Hodges-Levasseur (in the A case) described the spectra of all quantum function algebras (R_q[G]) on simple algebraic groups in terms of...




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Introduction to 3-Manifolds

Jennifer Schultens, University of California, Davis - AMS, 2014, approx. 293 pp., Hardcover, ISBN-13: 978-1-4704-1020-9, List: US$75, All AMS Members: US$60, GSM/151

This book grew out of a graduate course on 3-manifolds and is intended for a mathematically experienced audience that is new to low-dimensional...




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HKSAR Air Quality Health Index at : Sun, 10 May 2020 01:30:00 +0800 Current Condition :

General Stations: 1 to 2 (Health Risk: Low)

Roadside Stations: 2 (Health Risk: Low)




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Water-splitting module a source of perpetual energy

(Rice University) Rice University researchers have integrated high-efficiency solar cells and electrode catalysts into an efficient, low-cost device that splits water to produce hydrogen fuel.




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Brazilian and Indian scientists produce crystal with many potential applications

(Fundação de Amparo à Pesquisa do Estado de São Paulo) Thanks to its magnetic properties, the material -- zinc-doped manganese chromite -- can be used in a range of products, from gas sensors to data storage devices.




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A big comeback for a little switch

(College of Engineering, Carnegie Mellon University) Carnegie Mellon University's Maarten de Boer and Gianluca Piazza are developing reliable, mechanical switches the size of a DNA molecule, thanks to a $2M LEAP-HI grant from the National Science Foundation.




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An artificial 'tongue' of gold to taste maple syrup

(University of Montreal) A chemistry professor at Université de Montréal has developed a new test using gold nanoparticles to establish the flavour profile of maple syrup and help producers evaluate its quality.




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Extreme ultraviolet imaging displays potential to enhance study of Alzheimer's disease

(University of Southampton) Scientists have published highly detailed images of lab-grown neurons using Extreme Ultraviolet radiation that could aid the analysis of neurodegenerative diseases.




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Dartmouth's Katherine Mirica wins National Teacher-Scholar Honor

(Dartmouth College) Annual award supports the research and teaching careers of talented young faculty in the chemical sciences.




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Inhibiting thrombin protects against dangerous infant digestive disease

(University of South Florida (USF Health)) A new preclinical study by researchers at the University of South Florida Health (USF Health) Morsani College of Medicine and Johns Hopkins University School of Medicine offers promise of a specific treatment for NEC, a rare inflammatory bowel disease that is a leading cause of death in premature infants. The team found that inhibiting the inflammatory and blood-clotting molecule thrombin with targeted nanotherapy can protect against NEC-like injury in newborn mice.




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Screw cancer: Microneedle sticks it to cancer tissue

(DGIST (Daegu Gyeongbuk Institute of Science and Technology)) A drug-loaded microrobotic needle effectively targets and remains attached to cancerous tissue in lab experiments without needing continuous application of a magnetic field, allowing more precise drug delivery. The details were published by researchers at DGIST's Microrobot Research Center in Korea and colleagues in the journal Advanced Healthcare Materials.




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Filtering out toxic chromium from water

(Ecole Polytechnique Fédérale de Lausanne) EPFL chemists have developed sponges to capture various target substances, like gold, mercury and lead, dissolved in solution. The sponges are actually porous crystals called metal organic frameworks, and now one exists for capturing toxic hexavalent chromium from water.




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Real-time visualization of solid-phase ion migration

(University of Science and Technology of China) Researchers from University of science and technology of China has shed new lights on the topic of solid-phase ion migration. Researchers demonstrated a unique in-situ strategy for visualizing the dynamic solid-phase ion migration between nanostructures with nanogap at the atomic scale. The research article entitled "Real-Time Visualization of Solid-Phase Ion Migration Kinetics on Nanowire Monolayer" was published in Journal of the American Chemical Society on April 29th.




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Research found a new way to make functional materials based on polymers of metal clusters

(University of Jyväskylä - Jyväskylän yliopisto) Researchers at the universities of Jyvaskyla and Xiamen discovered a novel way to make functional macroscopic crystalline materials out of nanometer-size 34-atom silver-gold intermetallic clusters. The cluster material has a highly anisotropic electrical conductivity, being a semiconductor in one direction and an electrical insulator in other directions. The research was published in Nature Communications on May 6, 2020.




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Shedding new light on nanolasers using 2D semiconductors

(Arizona State University) Cun-Zheng Ning, a professor of electrical engineering in the Ira A. Fulton Schools of Engineering at Arizona State University, and collaborators from Tsinghua University in China discovered a process of physics that enables low-power nanolasers to be produced in 2D semiconductor materials. Understanding the physics behind lasers at nanoscale and how they interact with semiconductors can have major implications for high-speed communication channels for supercomputers and data centers.




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Three NSF RAPID grants to develop quicker test for COVID-19 for Holonyak Lab faculty

(University of Illinois Grainger College of Engineering) Three Nick Holonyak Jr., Micro and Nanotechnology Lab (HMNTL) faculty members received NSF Rapid Response Research (RAPID) program grants, all of which aim to shorten the amount of time it takes to process a COVID-19 test with less false negatives. Current tests can take as long as five days for results to be.




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Surfaces that grip like gecko feet could be easily mass-produced

(Georgia Institute of Technology) The science behind sticky gecko's feet lets gecko adhesion materials pick up about anything. But cost-effective mass production of the materials was out of reach until now. A new method of making them could usher the spread of gecko-inspired grabbers to assembly lines and homes.




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New simple method for measuring the state of lithium-ion batteries

(Johannes Gutenberg Universitaet Mainz) Scientists at Johannes Gutenberg University Mainz (JGU) and the Helmholtz Institute Mainz (HIM) in Germany have presented a non-contact method for detecting the state of charge and any defects in lithium-ion batteries.




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Young Scientist prize for Lancaster physicist

(Lancaster University) Lancaster University's Dr Samuli Autti has been awarded a Young Scientist Prize 2020 by the International Union of Pure and Applied Physics. The prestigious prize, awarded only once every three years, was made by the Low Temperature Commission of the IUPAP.





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No new COVID-19 cases reported

The Centre for Health Protection announced that as of 4pm today, no new COVID-19 cases have been recorded, leaving the number of confirmed cases in Hong Kong at 1,040 so far.

 

The centre again urged members of the public to maintain an appropriate social distance with other people in their daily lives to minimise the risk of infection.

 

People should go out less and avoid social activities such as having meals out or other gatherings to minimise the risk of coronavirus clusters emerging in the community.

 

As the COVID-19 situation remains severe and the number of cases reported around the world continues to rise, people are strongly urged to avoid all non-essential travel outside Hong Kong as well as maintain strict personal and environmental hygiene at all times.

 

Additionally, the Hospital Authority reported that there are currently 142 patients under isolation and that 920 patients have been discharged upon recovery.

 

For information and health advice on COVID-19, visit the Government's dedicated webpage.




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Some anti-epidemic measures eased

(To watch the full press conference with sign language interpretation, click here.)

 

Chief Executive Carrie Lam today said because Hong Kong has not reported a local COVID-19 case for over two weeks and imported cases are low, some anti-epidemic measures can be lifted.

 

During a press conference, Mrs Lam outlined that unlike some European countries, Hong Kong did not need to go into lockdown to contain the spread of the disease.

 

“Hong Kong has never gone into a stage of a complete city lockdown. In some of the European countries where they practise a city lockdown, residents are simply not allowed to leave their homes, except for some very essential purposes. But we have never adopted that practice.

 

“And in fact, many renowned experts are now trying to study our situation - why does Hong Kong succeed in keeping the confirmed cases at a low level without drastic measures like a complete city lockdown. And I do think that is a very interesting topic for further research.”

 

Mrs Lam noted that the Government had adopted the “suppress and lift” strategy under which restrictions are implemented and lifted in accordance with the infection situation.

 

“The strategy that Hong Kong has been adopting - and advocated by some of our experts - is what we call a ‘suppress and lift strategy’.

 

“So in light of the number of confirmed cases and likelihood of the spread of the disease in the community, we will have to suppress in order to make sure that there will be no surge in the number of confirmed cases as we have seen in some neighbouring regions.

 

“When the situation of the infection stabilises, that is the time for lifting, that is, loosening a bit so that society can operate more normally, especially for the businesses and for individuals’ behaviour.”

 

The Chief Executive said the Government still needed to monitor the COVID-19 situation closely, even though it was in the stage of lifting restrictions.

 

“We are now right in the stage of lifting because we have not had a local case for 16 days already and the number of imported cases is very, very low.

 

“We are now quite confident that the system of testing and holding that we have put in place for all arrivals from overseas would enable us to control the number of imported cases. So this is a time for lifting and this afternoon we have announced a number of lifting measures.

 

“If the situation continues to stay at the current level - no local cases, very few imported cases - then at the end of the 14-day period, that is May 22, of course that would be the time for more relaxation.”

 

Mrs Lam added that if a local case suddenly surfaced, Hong Kong may have to go back to some suppression measures, which was why the Government had to monitor the situation closely so it could take the necessary and pertinent response measures.




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CE explains relaxation of measures

(To watch the full press conference with sign language interpretation, click here.)

 

The relaxation of anti-epidemic measures is a step in the right direction, Chief Executive Carrie Lam said today.

 

Mrs Lam made the statement at a press conference this afternoon.

 

She said the Government will relax the requirement limiting group gatherings in public places to a maximum of four people. Starting from Friday, up to eight people can gather in public places.

 

"So raising the number from four to eight for the catering business and also for the prohibition against group gatherings under Cap 599G is not an exact science, but this is a step in the right direction of relaxation.

 

"Maybe in another 14 days’ time we will raise the number of eight to 10, to 12, to 15 and so on."

 

Regarding bars and pubs, Mrs Lam said these venues will be able to reopen but the Government will put in place requirements to prevent physical interactions.

 

"We have decided that perhaps to strike a pragmatic balance is to allow them to reopen for business but to put in far more stringent requirements."

 

Such requirements include no live music, band performances or dancing in bar premises.

 

"That would be another way to keep the social distance and prevent as much as possible physical interactions."

 

Click here for the latest measures.




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Class resumption date set

(To watch the full press conference with sign language interpretation, click here.)

 

Secretary for Education Kevin Yeung today said the Government is confident that classes can resume on May 27.

 

Mr Yeung made the statement at a press conference this afternoon.

 

He said: “We are not announcing class resumption right away. We are giving advance notice of about three weeks for all the stakeholders to get prepared for the school resumption.”

 

The Government will continue to monitor the situation during this period and adjust the school resumption plan if necessary, he added.

 

"At this stage we are still pretty confident that we should be able to resume classes on May 27."




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Masks for the needy ensured

(To watch the full press conference with sign language interpretation, click here.)

 

Chief Executive Carrie Lam today said that Hong Kong’s needy and disadvantaged will receive masks as part of the Government’s new mask distribution programme.

 

Mrs Lam made the announcement during a press conference this afternoon and explained that millions of donated masks will also be distributed to those in need.

 

“I have outlined six measures to distribute masks freely to the people of Hong Kong, and of course in so doing, we will take special account of the disadvantaged, the elderly and street sleepers. 

 

“So apart from being a member of the Hong Kong population, they will receive reusable masks. They will receive disposable masks. We have this mask distribution program together with a large number of non-governmental organisations, charity groups and self-help groups.

 

“So we will continue to work with them to distribute another three million masks, which were donated to us.”

 

Mrs Lam emphasised that should there be a shortage of masks set aside for the needy, the Government will use its own supply to cover the shortfall.

 

“I am announcing that if we run out of donated masks, but there is still a need from this disadvantaged groups, we will use the government masks - the masks that we procured which are supposed to be for our own use - and share these with the needy groups in society.

 

“That's a way to ensure that, in a public health situation that we are now in, the needs of the disadvantaged groups will be fully taken care of.”

 

In addition to distributing donated masks, the Government announced other measures on mask supplies that include handing out single-use and reusable masks to all Hong Kong residents and students in need.

 

Such measures also call for increasing the supply of masks to staff of elderly homes and cleaning workers employed by the Government's outsourced service contractors, as well as providing masks to private medical practitioners.




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Gov’t to distribute reusable masks

The Government will distribute free reusable face masks to all Hong Kong citizens, the Innovation & Technology Bureau announced today.

 

The CuMask, made with six layers and special ergonomic features, was developed by the Hong Kong Research Institute of Textiles & Apparel.

 

Two of its layers contain copper which is capable of immobilising bacteria, common viruses and other harmful substances.

 

The mask complies with the American Society for Testing & Materials F2100 Level 1 Standard in terms of particle and bacterial filtration efficiency, resistance to penetration by synthetic blood, and flammability and pressure resistance.

 

It is also reusable for up to 60 washes.

 

The bureau said, except for babies and infants, all holders of valid Hong Kong identity cards are eligible to obtain a mask.

 

Citizens can register online from 7am tomorrow till June 6. Each registration can cater for a maximum of six persons.

 

Upon successful registration, the mask will be delivered to the door by Hongkong Post within two weeks.

 

Primary and kindergarten students will each be given two masks, which will be delivered directly to children's schools. Parents do not have to register.

 

The Government has also arranged to deliver over 140,000 of the masks to residential homes and social welfare institutions for their distribution to those including elderly and the homeless.

 

Click here for registration details.