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.

2 . On March 7, 1907, the English statistician Francis Galton published a paper which illustrated what has come to be known as the “wisdom of crowds” effect. The experiment of estimation he conducted showed that in some cases, the average of a large number of independent estimates could be quite accurate.

This effect capitalizes on the fact that when people make errors, those errors aren’t always the same. Some people will tend to overestimate, and some to underestimate. When enough of these errors are averaged together, they cancel each other out, resulting in a more accurate estimate. If people are similar and tend to make the same errors, then their errors won’t cancel each other out. In more technical terms, the wisdom of crowds requires that people’s estimates be independent. If for whatever reasons, people’s errors become correlated or dependent, the accuracy of the estimate will go down.

But a new study led by Joaquin Navajas offered an interesting twist (转折) on this classic phenomenon. The key finding of the study was that when crowds were further divided into smaller groups that were allowed to have a discussion, the averages from these groups were more accurate than those from an equal number of independent individuals. For instance, the average obtained from the estimates of four discussion groups of five was significantly more accurate than the average obtained from 20 independent individuals.

In a follow-up study with 100 university students, the researchers tried to get a better sense of what the group members actually did in their discussion. Did they tend to go with those most confident about their estimates? Did they follow those least willing to change their minds? This happened some of the time, but it wasn’t the dominant response. Most frequently, the groups reported that they “shared arguments and reasoned together”. Somehow, these arguments and reasoning resulted in a global reduction in error. Although the studies led by Navajas have limitations and many questions remain, the potential implications for group discussion and decision-making are enormous.

3 . My students frequently ask me how I planned out my career to become president of Fidelity Investments. I always tell them, “There was no grand plan; I backed into my career one step at a time.” In this tough economy and ever-changing world, it is more important than ever to smartly evaluate each step in your career. To prepare for whatever surprises lie ahead, try to make choices today that will maximize your options in the future.     1    

Gaining transferable (可转移的) knowledge begins with the choices you make at school. You want your education to provide you with the necessary skills and expertise to succeed in a wide variety of jobs.     2     I favor those that involve extensive writing, rigorous analysis, or quantitative skills.

Once you have finished your formal education, search for jobs that will allow you to further expand your transferable knowledge—to help you find your next job. Let’s say you take a job putting together airplane leases. Within a few years, you could become the world’s expert on the subject.     3     By contrast, if you take a job that will expand your computer programming skills, you can greatly boost your options for later steps in your career.

Remember gaining transferable knowledge is only one piece of the puzzle.     4     As a saying goes, “Organizations don’t hire people. People hire people.” The more people you know, the more people will think of you when a job pops open—even when it is not publicly advertised.

Of course, you can build your network to some degree without changing jobs.     5     But this sort of event-driven networking pales in comparison with the deep bonds you can develop with your colleagues by working, communicating, and traveling with them.

4 . “I’m not a reader.” It’s a common reply that Julia Torres, a teacher-librarian in Denver Public School, has heard throughout her 16-year career. She’s seen students tear up books, throw them away or check them out only to immediately return them all because they didn’t have confidence in their ability to read.

As a librarian, Torres feels strongly that libraries should be spaces of liberation, places where students can develop a love of reading at any stage. Reading is a skill that everyone can grow to love, but too many negative experiences during a child’s literacy (读写能力) education can result in boredom, lack of interest or even anger. When a student has a poor experience like being shamed for their reading choices, they can begin to associate reading with painful feelings of insecurity, shame and stress.

To prevent reading disorder (阅读障碍) practices, as Torres notes, librarians first can build an inclusive (内容丰富的) library where classified collections can make it easier for students to find out the books they want and also help identify gaps in the collections. Reevaluating librarians’ role is necessary, which allows students to take control of the library and have a say in what’s purchased for the collection, directly exciting students’ reading interest. Instead of hosting traditional book fairs where students have to pay for books, it is better to open up a True Book Fair, where students are invited to choose books intentionally to their interests without any costs. Librarians are recommended to read what students are reading. Another two important approaches to preventing reading disorder are to take a look at the library policies and redefine (重新定义) what counts as reading. It is necessary to get rid of fines, check-out limits, security gates, and punishment policies. Plus, students are encouraged to listen to audiobooks or read picture books. Find a way to teach important skills like comprehension or critical thinking with the texts that excite and interest students.

5 . Self-esteem is the ruling view you have of yourself. This includes your beliefs about your inner qualities and how you think others see you.     1     Someone can develop low self-esteem even when they are highly functional and greatly skilled. Understanding this mysterious emotional currency might be the key to unlocking your own self-worth.

People with healthy self-esteem don't need to boast about themselves to others. People with low self-esteem may tell you how much everyone loves them, what a great job they do at work, and how amazing they are at pretty everything under the sun even though they really wonder if it's true. People may see them as obnoxious or “full of themselves”.     2     They are not shy about sharing ideas, including constructive criticisms of others. They also take care of themselves without second-guessing or apologizing. They are the people who we say seem “sure of themselves”.

If you're starting to think you may have low self-esteem, you can work on the way you talk to yourself. When you turn off negative self-talk, you can open the floor to positive reinforcements and access the courage to show different sides of yourself. It isn't going to feel good at first, though. Keep going until it becomes less and less and maybe even a few awkward laughs in the mirror may help.     3    

However, in serious cases of low or even non-existent self-esteem, you may want to call in a professional or a specialist. Good mental health is important, and professionals doing psychotherapy do not pass judgement or give corrections.     4     It is the best way to get at the roots of your real self-esteem problems.

    5     It will take some work but your entire life — from your relationships to your body image to your work habits — will be touched with the kind of power that only comes from someone believing in themselves. This is the hardest part, and the greatest leap. With some changes and support, you can improve your self-esteem and see how everything else changes as a result.

6 . How to Feel Connected

It's easy to feel disconnected from what is going on around you in today's fast-paced world.     1     You can get in touch and feel connected, however, by following the tips below:

Consider why you feel disconnected. Knowing what is making you feel disconnected can help you choose the best ways to address it.     2     Ask yourself these questions: Are you keeping yourself occupied with work too much? Do you rely on electronic communication instead of face to face communication? Do you lack friendships that are satisfying?

Interact with people in person. Technology is a great way to stay in touch, but sometimes you need to spend time with other people in person.     3     You can also take steps to feel more connected by making small-talk with strangers who are sharing parts of your day.

    4    

Your loved ones could feel shy, so you may never know how to improve your relationship unless you ask the right questions. Asking them to open the doors can give you some insight on what you can do. Learning this information can help to strengthen your bond.

Show your commitment to them. Simply showing up and being there for your loved ones says a lot about how much you value your relationships. Putting in the time shows them that you are committed and want to stay connected.     5    

Show appreciation. A simple “thank you” goes a very long way. Unfortunately, it is something that people who are close often take for granted. Telling someone you appreciate their time, love, and efforts can strengthen your bond and help you to become more connected.