1 . Atomic shapes are so simple that they can’t be broken down any further. Mathematicians are trying to turn to artificial intelligence (AI) for help to build a periodic table of these shapes, hoping it will assist in finding yet-unknown atomic shapes.

Tom Coates at Imperial College London and his colleagues are working to classify atomic shapes known as Fano varieties, which are so simple that they can’t be broken down into smaller components. Just as chemists arranged element s in the periodic table by their atomic weight and group to reveal new insights, the researchers hope that organizing these atomic shapes by their various properties will help in understanding them.

The team has given each atomic shape a sequence of numbers based on its features such as the number of holes it has or the extent to which it bends around itself. This acts as a bar code (条形码) to identify it. Coates and his colleagues have now created an AI that can predict certain properties of these shapes from their bar code numbers alone, with an accuracy of 98 percent.

The team member Alexander Kasprzyk at the University of Nottingham, UK, says that the AI has let the team organize atomic shapes in a way that begins to follow the periodic table, so that when you read from left to right, or up and down, there seem to be general patterns in the geometry (几何) of the shapes.

Graham Nib lo at the University of Southampton, UK, stresses that humans will still need to understand the results provided by AI and create proofs of these ideas. “AI has definitely got unbelievable abilities. But in the same way that telescopes (望远镜) don’t put astronomers out of work, AI doesn’t put mathematicians out of work,” he says. “It just gives us new backing that allows us to explore parts of the mathematical landscape that are out of reach.”

The team hopes to improve the model to the point where missing spaces in its periodic table could point to the existence of unknown shapes.

Yours,

Li Hua

6 . Preamble of《China: Democracy that works》

Published by the State Council on December 4, 2021

Democracy is a common value of humanity and an ideal that has always been cherished by the Communist Party of China and the Chinese people.

This year marks the centenary of the CPC. Since its founding in 1921, the Party has taken wellbeing for the Chinese people and the rejuvenation of the Chinese nation as its abiding goals, and has made continuous efforts to ensure the people’s status as masters of the country. China is a country with a feudal (封建的) history dating back several thousand years that descended into a semi-feudal and semi-colonial society after the Opium War of 1840. Over the past hundred years, the Party has led the people in realizing people’s democracy in China. The Chinese people now truly hold in their hands their own future and that of society and the country.

The people’s status as masters of the country is the essence of people’s democracy. Since the 18th CPC National Congress in 2012, with a deeper understanding of China’s path to democracy and the political system, the Party has developed whole-process people’s democracy as a key concept and striven to translate it and relevant democratic values into effective institutions and concrete actions.

Whole-process people’s democracy integrates process-oriented democracy with results-oriented democracy, procedural democracy with substantive (本质上的) democracy, direct democracy with indirect democracy, and people’s democracy with the will of the state. It is a model of socialist democracy that covers all aspects of the democratic process and all sectors of society. It is a true democracy that works.

Democracy is a concrete phenomenon that is constantly evolving. Rooted in history, culture and tradition, it takes diverse forms and develops along the paths chosen by different peoples based on their exploration and innovation.

The best way to evaluate whether a country’s political system is democratic and efficient is to observe whether the succession of its leaders is orderly and in line with the law, whether all the people can manage state and social affairs and economic and cultural undertakings in conformity with legal provisions, whether the public can express their requirements without hindrance, whether all sectors can efficiently participate in the country’s political affairs, whether national decision-making can be conducted in a rational and democratic way, whether people of high caliber in all fields can be part of the national leadership and administrative systems through fair competition, whether the governing party is in charge of state affairs in accordance with the Constitution and the law, and whether the exercise of power can be kept under effective restraint and supervision.

Democracy is not a decorative ornament, but an instrument for addressing the issues that concern the people. Whether a country is democratic depends on whether its people are truly the masters of the country; whether the people have the right to vote, and more importantly, the right to participate extensively; whether they have been given verbal promises in elections, and more importantly, how many of these promises are fulfilled after elections; whether there are set political procedures and rules in state systems and laws, and more importantly, whether these systems and laws are truly enforced; whether the rules and procedures for the exercise of power are democratic, and more importantly, whether the exercise of power is genuinely subject to public scrutiny and checks.

Democracy is the right of the people in every country, rather than the prerogative of a few nations. Whether a country is democratic should be judged by its people, not dictated by a handful of outsiders. Whether a country is democratic should be acknowledged by the international community, not arbitrarily decided by a few self-appointed judges. There is no fixed model of democracy; it manifests itself in many forms. Assessing the myriad political systems in the world against a single yardstick and examining diverse political structures in monochrome are in themselves undemocratic.

In the richly diverse world, democracy comes in many forms. China’s democracy is thriving alongside those of other countries in the garden of civilizations. China stands ready to contribute its experience and strength to global political progress through cooperation and mutual learning.

Suzie wanted to go to a party. It was a beach party. It had been almost the only thing her friends had been talking about for the last couple of weeks. It was going to be the best party of the year, perhaps the best party of her life.

But there was a problem… and a big problem. Her mom had said no. Suzie was desperate, and the more desperately she pleaded her case, the more emphatically her mom said no. Suzie was disappointed. No, worse than that, she was heartbroken. This was her best friend’s party. How could she tell her that her mom wouldn’t let her go? She’d look silly if she was the only one not there. The other kids were bound to laugh at her. They might even dump her as a friend if she didn’t join in and participate in what they were doing.

Sunday dinner came around and Suzie’s Grandma joined the family for the meal, as she nearly always did on Sunday. Grandma noticed how unhappy Suzie had been looking during the meal but didn’t say a thing. It was Suzie’s turn to wash up and Grandma said, “Let me help you,” while the rest of the family shifted into the living room to watch a video.

“What’s up?” asked Grandma as Suzie dumped the dishes into water. Grandma wiped a plate with a tea towel.

“Mom won’t let me go to my best friend’s party,” said Suzie, sadly. “Has Mom explained why she doesn’t want you to go? “ asked Grandma. “No,” replied Suzie.

“Then for a moment, put yourself in her position,” said Grandma. “If you were Mom, what would your objections be?”

Suzie hadn’t stopped to think about her mom’s side. All she had seen was what she wanted. “Well,” she answered after thinking for a moment or two, “it’s a beach party. Maybe she doesn’t trust us or thinks we’ll get into trouble. Maybe she thinks we’ll drown or something, but we all know how to swim and look after ourselves.”

After further discussion, Suzie realised that her mom might be concerned about her safety because no adults would be at the party.

Suzie thought Grandma’s suggestions over and decided to have a chat with her mom.