2 . 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.

6 . 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.

9 . 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.