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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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The UK's 15 most in-demand programming languages




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Best website builders




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Learn to code with these classroom-based UK coding courses




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A timeline of 5G development: From 1979 to Now




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Common interview questions for developers




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God of thunder - Thor: Ragnarok

kamil.karpinski517 posted a photo:




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Secret well kept (Underground part)

Milan Sekiz posted a photo:

Here is bottom part. This one has 4 portals guarded by some nice ladies. Those portals are also teaser for some future MOCs. I am working on the roof for this underground hall, when finished I will post the whole MOC




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Secret well kept (Underground part)

Milan Sekiz posted a photo:

Here is bottom part. This one has 4 portals guarded by some nice ladies. Those portals are also teaser for some future MOCs. I am working on the roof for this underground hall, when finished I will post the whole MOC




de

Secret well kept (Underground part)

Milan Sekiz posted a photo:

Here is bottom part. This one has 4 portals guarded by some nice ladies. Those portals are also teaser for some future MOCs. I am working on the roof for this underground hall, when finished I will post the whole MOC




de

Secret well kept (Underground part)

Milan Sekiz posted a photo:

Here is bottom part. This one has 4 portals guarded by some nice ladies. Those portals are also teaser for some future MOCs. I am working on the roof for this underground hall, when finished I will post the whole MOC




de

Arcade Boeing 247 b

dlberek posted a photo:




de

Secret well kept (Underground part)

Milan Sekiz posted a photo:

Here is bottom part. This one has 4 portals guarded by some nice ladies. Those portals are also teaser for some future MOCs. I am working on the roof for this underground hall, when finished I will post the whole MOC




de

Calculation of the convexity adjustment to the forward rate in the Vasicek model for the forward in-arrears contracts on LIBOR rate

N. O. Malykh and I. S. Postevoy
Theor. Probability and Math. Statist. 99 (2020), 189-198.
Abstract, references and article information




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Asymptotic distribution of the maximum likelihood estimator in the fractional Vašíček model

S. S. Lohvinenko and K. V. Ralchenko
Theor. Probability and Math. Statist. 99 (2020), 149-168.
Abstract, references and article information




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Goodness-of-fit test in the Cox proportional hazards model with measurement errors

A. G. Kukush and O. O. Chernova
Theor. Probability and Math. Statist. 99 (2020), 125-135.
Abstract, references and article information




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Construction of the Karhunen–Loève model for an input Gaussian process in a linear system by using the output process

Yu. V. Kozachenko and I. V. Rozora
Theor. Probability and Math. Statist. 99 (2020), 113-124.
Abstract, references and article information





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On the lack of memory for distributions of overshoot functionals in the case of upper almost semicontinuous processes defined on a Markov chain

D. V. Gusak and E. V. Karnaukh
Theor. Probability and Math. Statist. 99 (2020), 77-89.
Abstract, references and article information




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Persistence and extinction in a stochastic nonautonomous logistic model of population dynamics

O. D. Borysenko and D. O. Borysenko
Theor. Probability and Math. Statist. 99 (2020), 67-75.
Abstract, references and article information







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A borderline case of Calderón–Zygmund estimates for nonuniformly elliptic problems

C. De Filippis and G. Mingione
St. Petersburg Math. J. 31 (2020), 455-477.
Abstract, references and article information








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Classical solution of a PDE system stemming from auxin transport model for leaf venation

Bin Li and Jieqiong Shen
Proc. Amer. Math. Soc. 148 (2020), 2565-2578.
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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The algebra of bounded-type holomorphic functions on the ball

Daniel Carando, Santiago Muro and Daniela M. Vieira
Proc. Amer. Math. Soc. 148 (2020), 2447-2457.
Abstract, references and article information




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Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology

Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos and Andrea Solotar
Proc. Amer. Math. Soc. 148 (2020), 2421-2432.
Abstract, references and article information









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Seven things developers should do before going freelance




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HK residents back from Morocco

A total of 27 Hong Kong residents who left Morocco on a chartered flight arranged by the Chinese Embassy in the Kingdom of Morocco arrived in Guangzhou today.

 

Among them, 26 people subsequently took the coaches arranged by the Hong Kong Special Administrative Region Government to return to Hong Kong through the Shenzhen Bay Port and have arrived at AsiaWorld-Expo.

 

One Hong Kong resident chose to stay in Guangzhou for a 14-day isolation period for medical surveillance in accordance with the relevant requirements.




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Arrests based on evidence

The Security Bureau said Police have the duty to take lawful measures for apprehending people when sufficient grounds exist.

 

The bureau issued the statement in response to media inquiries regarding a number of people arrested by Police today in connection with organising and participating in unauthorised assemblies.

 

It emphasised that under the Police Force Ordinance, Police have the duty to take lawful measures for apprehending all persons whom it is lawful to apprehend and for whose apprehension sufficient grounds exist.

 

The bureau noted that the relevant arrests were made based on evidence from investigations and strictly according to the laws in force.

 

It pointed out that in Hong Kong, everyone is equal before the law and that no one is above it nor can break it without facing consequences.

 

The bureau explained that if there is evidence that anyone violates the law, regardless of their status or background, they must face justice. No one has any special privileges.

 

Police will handle the case in a fair, just and impartial manner in accordance with the law, it added.




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Treasure judicial independence: SJ

In recent times, criminal damage has been repeatedly inflicted on our court buildings through graffiti. Some went as far as making derogatory remarks against specific judges which may amount to contempt of court. It is bewildering as to what such acts could achieve except a futile attempt to undermine the very core value that we cherish and respect.

 

Judicial independence is the key building block to our society. These rampant acts and statements, and for that matter, any views expressed in society or media, would not in any way usurp the decision-making process in court proceedings, nor will they affect our judicial independence as our judges will continue to decide cases based only on evidence and law, setting out how they have arrived at such decisions in their judgments, which are available to the general public. They have taken a judicial oath to administer justice without fear or favour and it is their duty to so do.

 

Judges in Hong Kong are appointed upon the recommendation by a statutory committee comprising nine members including the Chief Justice of the Court of Final Appeal, the Secretary for Justice, two judges from the Judiciary, one barrister and one solicitor, as well as three eminent and respected members of the society not connected with the practice of law. Our judges would not be subjected to any political vetting. The only criteria upon which they are considered before appointment is the judicial and professional quality that contributes to our renowned judicial independence.

 

Judges enjoy security of tenure and immunity. Upon the appointment, district court judges and above are precluded from returning to practice in Hong Kong as a barrister or a solicitor. This “non-revolving door” system has worked well in preventing perceived potential conflicts of interest and enhances the independence of our judiciary.

 

Our judges manifest the highest professional and judicial quality as well as impartiality through the reasoned judgments that they deliver. Hong Kong cases are often cited in overseas jurisprudence evidencing the confidence and respect of the global legal community in Hong Kong’s judicial and legal systems.

 

The institutional framework described above, the guarantee of judicial independence explicitly set out in the Basic Law and the quality of our judgments contribute to the much respected judiciary and rule of law in Hong Kong. To top it all is that eminent and highly respected judges from apex court of other common law jurisdictions sit on our Court of Final Appeal as non-permanent judges. They sit on all types of cases, from commercial, criminal to constitutional and have witnessed Hong Kong’s system in administering justice.

 

One of our non-permanent judges of the Court of Final Appeal, the Right Honourable the Lord Neuberger of Abbotsbury (former President of the Supreme Court of England and Wales who presided over the Brexit case), pointed out in a seminar in 2017 that his own direct experience as a non-permanent judge since 2010 proved that the Permanent Judges of the Court of Final Appeal are as institutionally independent and impartial. He also said that he has every reason to believe that this is equally true of the judges in the other courts of Hong Kong. He even said he would not be sitting in the Court of Final Appeal if he had any serious concerns about judicial independence or judicial impartiality in Hong Kong.

 

More recently, the Right Honourable Beverley McLachlin, PC, another non-permanent judge of the Court of Final Appeal and also a retired chief justice of Canada, described in an interview that Hong Kong’s law is very rigorously applied, the judges are of high calibre, it is a very high level of judging, and the court is independent.

 

These remarks from eminent and respected judges from around the world speak volume about Hong Kong. One cannot help but be perplexed as to why some chose to try to undermine these core values baselessly and insidiously. It behoves each of us, in particular the legal sector including the two branches of the legal profession, to protect our judicial independence that underpins Hong Kong’s success and encourage others to join hands through our own sphere of influence. It is high time we bring back the Hong Kong we are familiar with.

 

Secretary for Justice Teresa Cheng wrote this article and posted it on her blog on January 5.




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Basic Law underpins HK’s success

On April 4, 1990, the Basic Law of the Hong Kong Special Administrative Region of the People’s Republic of China was adopted by the Seventh National People’s Congress (NPC) of the People’s Republic of China (PRC). The Basic Law enshrines the basic policies of the PRC regarding the Hong Kong Special Administrative Region (HKSAR) and provides a solid constitutional basis for the implementation of “one country, two systems”. Looking back, we must not forget the purpose and mission of the Basic Law.

 

The Basic Law clearly states that Hong Kong has been part of the territory of China since ancient times and is an inalienable part of the PRC. It is a Special Administrative Region enjoying a high degree of autonomy under the Central People’s Government. Upholding national unity and territorial integrity, maintaining the prosperity and stability of Hong Kong, and taking account of history and realities, the “one country, two systems” principle was put forth by Mr Deng Xiaoping as a way to preserve the characteristics and strengths of Hong Kong as much as possible and to enable Hong Kong citizens to maintain their way of life.

 

In the 22 years since her return to the motherland, Hong Kong has weathered different challenges and, on the whole, the implementation of “one country, two systems” has been successful. Leveraging on our strengths in free market economy, rule of law, independent judiciary and the free flow of information and with our country’s strong support, Hong Kong has developed into an international financial, trade and transportation centre and attracted more than 9,000 overseas and Mainland companies to establish offices here, with many of them making Hong Kong as their regional headquarters in Asia-Pacific.

 

International financial centre

Article 109 of the Basic Law confirms Hong Kong’s status as an international financial centre and stipulates that the Government of the Hong Kong Special Administrative Region shall provide an appropriate economic and legal environment for the maintenance of such status. Specifically, under the Basic Law:

 

- The Hong Kong dollar is the legal tender of the HKSAR and the linked exchange rate system has been maintained. With the strong support of the Central Government, Hong Kong has been able to maintain financial stability even during turbulent times. Riding on our country’s reform and opening up, Hong Kong has also developed into the world’s largest offshore renminbi centre.

 

 - The free flow of capital is protected and has attracted a large number of foreign direct investment and companies using Hong Kong as an ideal platform for initial public offerings and fundraising. Over the past 10 years, Hong Kong has topped the annual global IPO rankings six times.

 

- Hong Kong maintains a simple and low tax system, which is key to Hong Kong’s success as an international financial, trading and business centre. The Hong Kong Special Administrative Region Government is free to implement tax measures according to policy needs under its independent tax system. Since I took office, I have put in place initiatives such as the two-tier profits tax system and tax deduction for research and development expenditure to enhance Hong Kong’s competitiveness.

 

Rule of law and independent judiciary

The Basic Law preserves and guarantees Hong Kong’s long-established and trusted common law system and allows the HKSAR to enjoy independent judicial power, including that of final adjudication. The rule of law and an independent judiciary, which are held dearly by Hong Kong people, are constitutionally protected. The Basic Law stipulates that judges shall be appointed by the Chief Executive on the recommendation of an independent commission; for the appointment of judges of the Court of Final Appeal (CFA) and the Chief Judge of the High Court, the Chief Executive shall obtain the endorsement of the Legislative Council and report such appointment to the Standing Committee of the NPC for the record. Last month, I accepted the recommendation of the Judicial Officers Recommendation Commission to appoint the Honourable Justice Andrew Cheung, Permanent Judge of the CFA, to succeed The Honourable Chief Justice Geoffrey Ma who will retire next year.

 

The Basic Law also allows the CFA to draw on the experience of judges from other common law jurisdictions. Currently, 15 eminent judges from the United Kingdom, Australia and Canada are sitting on the CFA as non-permanent judges. Their participation shows that our rule of law and independent judiciary are well recognised.

 

Rights and freedoms of residents

The fundamental rights and freedoms of Hong Kong residents are fully protected by the Basic Law. Under Chapter 3, Hong Kong residents shall have freedom of speech, of the press and of publication; freedom of association, of assembly, of procession and of demonstration; freedom of the person; freedom of communication; freedom of religious belief; freedom of choice of occupation; freedom to engage in academic research, literary and artistic creation, and other cultural activities; freedom of marriage and so forth. However, as pointed out by our courts in their judgments, freedom is not absolute; one should respect the rights and freedoms of other people and be subject to law when exercising such freedoms.

 

Developing external affairs

Hong Kong has always been a bridge between the East and the West. The Basic Law allows the HKSAR to maintain and develop relations with foreign states and regions and relevant international organisations in the appropriate fields, including economic, trade, financial and monetary, shipping, communications, tourism, cultural and sports fields on its own, using the name Hong Kong, China. The HKSAR has participated in the World Trade Organization, the World Meteorological Organization, the Asia-Pacific Economic Cooperation and many others in the name Hong Kong, China and has entered into hundreds of bilateral agreements with other countries, including Free Trade Agreements, Investment Promotion & Protection Agreements and Comprehensive Double Taxation Agreements. Hong Kong athletes can also represent Hong Kong in international competitions.

 

The implementation of “one country, two systems” fully demonstrates that it is the best institutional arrangement to maintain Hong Kong’s long-term prosperity and stability. As a pioneering initiative, its application entails an evolving process and we have to effectively and fully apply this principle in order to maintain the prosperity and stability of Hong Kong, to meet the aspirations of our citizens and to meet the fundamental interests of our country. I encourage all Hong Kong citizens to learn more about the Basic Law, including the institutional safeguards, and the rights and duties of Hong Kong residents. In so doing, we should consider how best we can continue to leverage on Hong Kong’s advantages, allowing Hong Kong to advance with the country and enabling every Hong Kong resident to realise their goal.

 

Chief Executive Carrie Lam wrote this op-ed entitled The Basic Law - Best Safeguard for the Prosperity & Stability of Hong Kong on April 4.




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Bird watching festival underway

The Wetland Park is holding its annual Bird Watching Festival, with "Incredible Bird Parents" as this year’s theme.

 

Running until April 20, the event shows how versatile and sophisticated birds are in providing parental care for their offspring.

 

For the first time, five unique Lego brick wetland animal models are displayed as another festival attraction.

 

They include the saltwater crocodile Pui Pui, a kingfisher, paddy frog, fiddler crab and the common tiger, as well as Lego brick wall art.

 

Co-created by the Wetland Park and Lego Certified Professional Andy Hung, the Lego series aims to inspire kids to build a better future for nature.

 

Other edutainment comprises bird watching tours, thematic bird interpretation sessions, bird photography workshops, public lectures and a kids reading club.

 

Click here for details.




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Understanding What Kepler Did--Part I




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Understanding Kepler II--Earth's Motion




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Understanding Kepler III--Predecessors




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Puppies, Kittens, and the Golden Ratio




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Points, Lines, and Incidences




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HKTDC helps SMEs amid unprecedented challenges

With the novel coronavirus expected to further impact Hong Kong’s already slowing economy, the Hong Kong Trade Development Council (HKTDC) is working hand in hand with local small and medium-sized enterprises (SMEs) to brave the...




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Hong Kong Trade Development Council welcomes new Budget

Chairman of the Hong Kong Trade Development Council (HKTDC) Dr Peter Lam welcomes the new 2020-21 Budget, including the additional HK$150 million funding to the HKTDC to help Hong Kong businesses find new opportunities and to help the...