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An explicit form for extremal functions in the embedding constant problem for Sobolev spaces

I. A. Sheipak and T. A. Garmanova
Trans. Moscow Math. Soc. 80 (2020), 189-210.
Abstract, references and article information





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Ad space on my funny memes website




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Gaussian blur is removing all transparent pixels from image




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CBD News: Intervention du Secrétaire exécutif M. Ahmed Djoghlaf à l'occasion de la Soirée francophone de l'Organisation internationale de la francophonieau Congrès mondial de la nature, 6 octobre 2008, Barcelone, Espagne.




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CBD News: Announcement of the International University of Andalusia (Spain): The 9th Master's Degree in Management, Access and Conservation of Species in Trade: The International Framework (April-June 2010).




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CBD News: Message from Mr Ahmed Djoghlaf, Executive Secretary of the Convention on Biological Diversity, to the International Seminar "The Andalusí Experience: A Model for the Conservation of Biodiversity", 7 October 2009, Granada, Spain.




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CBD News: Statement by Mr. Ahmed Djoghlaf, Executive Secretary of the Convention on Biological Diversity, on the occasion of Spanish Presidency of the European Union Conference Celebrating the International Year on Biodiversity at the Meeting on "Pos




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CBD News: Statement by Ahmed Djoghlaf, Executive Secretary of the Convention on Biological Diversity, at the occasion of the European Maritime Day Stakeholder Conference, 19 may, 2010, Gijon, Spain.




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CBD News: Statement by Mr Ahmed Djoghlaf, CBD Executive Secretary, on the occasion of the Conference on Delivering Global Food Security: Global Biological Diversity for Development in the Post-2010 Era, 13 September 2010, Cordoba, Spain.




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CBD News: Statement by Mr Ahmed Djoghlaf, CBD Executive Secretary, on the occasion of the International Seminar on the Role of Agrobiodiversity in Addressing Hunger and Climate Change: The Road To Nagoya, 14 September 2010, Cordoba, Spain.




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CBD "REDD-plus Benefits: Biodiversity and Livelihoods": Joint publication of CBD Secretariat and GIZ now available in English, French and Spanish.




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CBD News: Message de Braulio Ferreira de Souza Dias, Secrétaire exécutif de la CDB, à l'occasion du lancement du Camp de base de 1000 Jours pour la planète, Espace pour la vie, 20 Juin 2012




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CBD News: Statement by Mr. Braulio F. de Souza Dias, CBD Executive Secretary, at the opening of the Mediterranean Regional Workshop to Facilitate the Description of Ecologically or Biologically Significant Marine Areas, Málaga, Spain, 7 - 11 April 20




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CBD News: Statement by Mr. Braulio F. de Souza Dias, CBD Executive Secretary, at the opening of the Expert Workshop to Provide Consolidated Practical Guidance and a Toolkit for Marine Spatial Planning, Montreal, Canada, 9 - 11 September 2014




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CBD News: Today some four billion people live in urban areas. In these human-built spaces, people tend to think of streets and buildings.




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CBD News: On Saturday 24 March 8:30 p.m. local time, skylines around the world will go dark as millions celebrate WWF's Earth Hour to spark global awareness and action on nature and the environment.




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CBD News: The European Business and Nature Summit (EBNS) took place in Madrid, Spain over the span of two days to help strengthen the role that businesses play in supporting nature conservation and its sustainable use.




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CBD Notification SCBD/IMS/JMF/NS/ET/CP/88538 (2019-109): Date extension: Thematic Consultation on Transparent Implementation, Monitoring, Reporting and Review Mechanism, 20-22 February 2020 - Kunming, China and Thematic Consultation on Capacity Building a




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CBD Notification SCBD/SSSF/AS/SBG/JA/JMQ/88545 (2019-113): Submission of Information on Experiences in the Implementation of Marine Spatial Planning




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Stability of the Stokes projection on weighted spaces and applications

Ricardo G. Durán, Enrique Otárola and Abner J. Salgado
Math. Comp. 89 (2020), 1581-1603.
Abstract, references and article information




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Linear and Multilinear Algebra and Function Spaces

A. Bourhim, J. Mashreghi, L. Oubbi and Z. Abdelali, editors. American Mathematical Society | Centre de Recherches Mathematiques, 2020, CONM, volume 750, approx. 224 pp. ISBN: 978-1-4704-4693-2 (print), 978-1-4704-5607-8 (online).

This volume contains the proceedings of the International Conference on Algebra and Related Topics, held from July 2–5, 2018, at Mohammed V...




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Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions

Jungang Li, Guozhen Lu and Qiaohua Yang
Trans. Amer. Math. Soc. 373 (2020), 3483-3513.
Abstract, references and article information




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Equidistribution on homogeneous spaces and the distribution of approximates in Diophantine approximation

Mahbub Alam and Anish Ghosh
Trans. Amer. Math. Soc. 373 (2020), 3357-3374.
Abstract, references and article information





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On the dimension of subspaces of continuous functions attaining their maximum finitely many times

L. Bernal-González, H. J. Cabana-Méndez, G. A. Muñoz-Fernández and J. B. Seoane-Sepúlveda
Trans. Amer. Math. Soc. 373 (2020), 3063-3083.
Abstract, references and article information





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Solutions in Lebesgue spaces to nonlinear elliptic equations with subnatural growth terms

A. Seesanea and I. E. Verbitsky
St. Petersburg Math. J. 31 (2020), 557-572.
Abstract, references and article information





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Survey on gradient estimates for nonlinear elliptic equations in various function spaces

S.-S. Byun, D. K. Palagachev and L. G. Softova
St. Petersburg Math. J. 31 (2020), 401-419.
Abstract, references and article information







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Refined scales of decaying rates of operator semigroups on Hilbert spaces: Typical behavior

Moacir Aloisio, Silas L. Carvalho and César R. de Oliveira
Proc. Amer. Math. Soc. 148 (2020), 2509-2523.
Abstract, references and article information








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Scheme transparency ensured: CS

The Government will ensure absolute transparency of the Employment Support Scheme, Chief Secretary Matthew Cheung said today.

 

Mr Cheung made the statement after attending a radio programme this morning, and reiterated that under the new $80 billion scheme, eligible employers have to undertake that they cannot implement redundancy and that the subsidy will go towards paying staff.

 

"We have got two very important criteria. One is, no redundancy at all. The second thing is, all the subsidy from the Government for that particular purpose must go to paying staff salaries and not other purposes. A very restrictive approach."

 

He added that the list of applicants for the scheme would be open for public inspection.

 

"We will ensure absolute transparency of the scheme. For any successful applicant, their amount of subsidy disbursed and so on will be released to the public, and also particularly to the employees concerned, so they know whether the employers have applied for the scheme and whether they are successful indeed.

 

"And finally in Hong Kong, we have got a very active media and also a very active trade union movement here."

 

Mr Cheung also said that imposing a penalty against those who did not comply with the scheme's regulations would be discussed.

 

"If there is any criminal element involved - conspiracy, dishonesty and so on - we will act in accordance with the law. Any outstanding sum that is not used will be clawed back. We are also considering imposing a penalty for any deviation from the so-called regulation or rules imposed by the scheme. Now, all these need to be thrashed out in the next few days.

 

"We will be going to the Finance Committee coming Friday. A special Finance Committee meeting will be lined up. Then the whole thing will go firm, because there are still some minor details yet to be thrashed out."




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Metric Spaces, Convexity and Nonpositive Curvature: Second Edition

Athanase Papadopoulos, Universite de Strasbourg - A publication of the European Mathematical Society, 2013, 320 pp., Softcover, ISBN-13: 978-3-03719-132-3, List: US$58, All AMS Members: US$46.40, EMSILMTP/6.R

This book is about metric spaces of nonpositive curvature in the sense of Busemann, that is, metric spaces whose distance function satisfies a...




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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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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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Caspar Tsui visits sports association

Secretary for Home Affairs Caspar Tsui visited the Physical Fitness Association of Hong Kong, China today to inspect its work in implementing the Fitness Centre Subsidy Scheme launched under the second phase of the Anti-epidemic Fund.

 

Mr Tsui said the scheme aims to provide a one-off subsidy of $100,000 to fitness centres to tide businesses over financial difficulties arising from anti-epidemic measures.

 

He thanked the association for handling the scheme’s applications.

 

Mr Tsui also expressed gratitude to the fitness industry for complying with the Government’s preventive measures, including suspension of business, in the fight against the virus.

 

Given the stabilising epidemic situation, the Government has conducted a health risk assessment and will allow premises, including fitness centres, to resume operations, Mr Tsui said, adding that he hopes the fitness industry will soon regain vitality.

 

The Home Affairs Bureau commissioned the association to assist in implementing the scheme, which opened for applications on May 4.

 

As of May 7, the association received 397 applications, of which more than half of them have been initially found to be eligible, involving subsidies of about $20 million.

 

The application period for the scheme will end on June 3.

 

Call 2302 9089 or send an email for enquiries.




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Cross-regulation between LUBAC and caspase-1 modulates cell death and inflammation [Signal Transduction]

The linear ubiquitin assembly complex (LUBAC) is an essential component of the innate and adaptive immune system. Modification of cellular substrates with linear polyubiquitin chains is a key regulatory step in signal transduction that impacts cell death and inflammatory signaling downstream of various innate immunity receptors. Loss-of-function mutations in the LUBAC components HOIP and HOIL-1 yield a systemic autoinflammatory disease in humans, whereas their genetic ablation is embryonically lethal in mice. Deficiency of the LUBAC adaptor protein Sharpin results in a multi-organ inflammatory disease in mice characterized by chronic proliferative dermatitis (cpdm), which is propagated by TNFR1-induced and RIPK1-mediated keratinocyte cell death. We have previously shown that caspase-1 and -11 promoted the dermatitis pathology of cpdm mice and mediated cell death in the skin. Here, we describe a reciprocal regulation of caspase-1 and LUBAC activities in keratinocytes. We show that LUBAC interacted with caspase-1 via HOIP and modified its CARD domain with linear polyubiquitin and that depletion of HOIP or Sharpin resulted in heightened caspase-1 activation and cell death in response to inflammasome activation, unlike what is observed in macrophages. Reciprocally, caspase-1, as well as caspase-8, regulated LUBAC activity by proteolytically processing HOIP at Asp-348 and Asp-387 during the execution of cell death. HOIP processing impeded substrate ubiquitination in the NF-κB pathway and resulted in enhanced apoptosis. These results highlight a regulatory mechanism underlying efficient apoptosis in keratinocytes and provide further evidence of a cross-talk between inflammatory and cell death pathways.




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A smart space for innovation

Entrepreneur Ricky Chan’s information technology company has been hard at work developing a virtual reality application that enables designers and their clients to walk through different versions of their home or office without having to physically move a single piece of furniture.

 

From the colour of the walls to the style of fixtures and fittings, Mr Chan’s app caters to all personal tastes and design ideas.

 

“We have customers who are interior designers or furniture retailers. Our virtual reality application brings their sketches to life. Designers in the past needed weeks to produce sketches. Now they can make designs instantly,” he explained.

 

Up to 40% of the application was developed at Smart-Space 8 in Tsuen Wan, Cyberport’s first co-working space outside its main Pok Fu Lam campus.

 

“Cyberport provides funding that helps to lower our expenses and we can hold seminars here with a rental fee that is much lower than the market price,” Mr Chan added.
 

The 20,000 sq ft space launched last year was specifically designed with young entrepreneurs in mind and provides workshops and seminars for startups. For companies that wish to join the Smart-Space 8 community, one of its founders must be aged between 18 and 35 and the company itself should not have been in operation for longer than seven years.

 

Smart-Space 8 users are entitled to comprehensive entrepreneurial support and value-added services to accelerate their businesses such as the Cyberport Creative Micro Fund and Cyberport Incubation Programme.

 

Mr Chan, who lives in the New Territories, said the added bonus of setting up shop in Smart-Space 8 is the commute, as Cyberport in Pok Fu Lam is farther away for him and his clients.

 

Cyberport may be expanding beyond Pok Fu Lam, but some entrepreneurs like agriculture technology company CEO and founder Gordon Tam have opted to stay at the home campus because of the incentives available.

 

“The business network here is unique. There are so many startups and we encourage and learn from each other.”

 

Mr Tam’s company sells vegetables from an indoor farm to local supermarkets and is now exploring the overseas market. He credits the vibrant community and ecosystem at Cyberport for building up his business.

 

“Traditional agriculture comes with a host of problems and the efficiency of Hong Kong’s agriculture industry is relatively low. This is why we are looking into indoor agriculture. We want to grow plants in industrial buildings.”

 

When Mr Tam joined the Cyberport Incubation Programme, his firm was offered two years of rent reduction. But more importantly, he said, the space is a one-of-a-kind ecosystem where his team can brainstorm ideas and continue to innovate.

 

Other startup owners share the same sentiment. Information technology company CEO and founder Stark Chan noted that with Cyberport as a public body, it offers a lot of support and rents are more stable.

 

“We have been here since we first started up. My colleagues are familiar with this environment and the atmosphere is good for innovation,” Mr Chan said.




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Lockdown Losses: Lack of Government Transparency during COVID-19 Pandemic Holds Back Businesses from Taking Risks, Making Financial Decisions

Thursday, April 30, 2020 - 14:15

NEW YORK – Since the coronavirus outbreak began, states across the U.S. have implemented stay-at-home orders, disrupting businesses and causing many to shut down. In addition, almost half of U.S. states from New York to Oregon have extended their lockdown orders beyond the original end date. These extensions of lockdown policy, while clearly beneficial to address public health concerns, can damage the economy beyond their immediate impact on business closures and layoffs.




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Study reveals how spaceflight affects risk of blood clots in female astronauts

(King's College London) A study of female astronauts has assessed the risk of blood clots associated with spaceflight.The study, published in Aerospace Medicine and Human Performance, in collaboration with King's College London, the Centre for Space Medicine Baylor College of Medicine, NASA Johnson Space Centre and the International Space University, examines the potential risk factors for developing a blood clot (venous thromboembolism) in space.




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NASA CubeSat mission to gather vital space weather data

(NASA/Goddard Space Flight Center) NASA has selected a new pathfinding CubeSat mission to gather data not collected since the agency flew the Dynamics Explorer in the early 1980s.




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Archaeologists verify Florida's Mound Key as location of elusive Spanish fort

(Florida Museum of Natural History) Florida and Georgia archaeologists have discovered the location of Fort San Antón de Carlos, home of one of the first Jesuit missions in North America. The Spanish fort was built in 1566 in the capital of the Calusa, the most powerful Native American tribe in the region, on present-day Mound Key in the center of Estero Bay on Florida's Gulf Coast.