【推荐1】Math and music are two entirely different fields of study, but there is a strong relevance between them. At some point, they tend to overlap, and it is common for people good at math to be good at music. It may seem illogical to compare the two, but there are more similarities between math and music than you would imagine.

Numbers can tell us more about music. Sounds strange but it’s true. Music is divided into sections that are called measures, where each measure has equal amounts of beats. This is comparable to mathematical divisions of time. Now, each piece of music will tell us how many beats there are in each measure. All the music notes have numerical connections and a number of beats. It is important to understand the value of fractions (分数) and notes to count the music correctly.

The biggest similarity between math and music in pattern. For example, music has repeating choruses while math uses patterns to explain the unknown. You can use different mathematical phenomena in music. These include geometry (几何学), signal processing, etc. In fact, research has shown that when music shows some mathematical structure, it tends to be more popular.

In addition to their shared elements, math and music can be taught using the principles of both. A student who enjoys math and music can benefit from both. For example, music can enhance cognition and reasoning skills. For instance, Einstein listened to music when solving math problems to increase clarity. Similarly, playing music can improve cognition, as it increases communication between the two brains.

Music is a gateway to many things, and until now, you probably didn’t realize that it’s just as demanding, analytical, logical and scientific as math. Something as simple as learning “Mary Had a Little Lamb” on the piano is actually setting your child up for bigger and better things; maybe they’ll pick up Pythagoras (毕达哥拉斯) in a flash, maybe they’ll be a genius in math, perhaps they’ll one day discover their own theory of relativity.

【推荐3】Since winning the BBC Young Musician competition in 2016, Sheku Kanneh-Mason has performed at a royal wedding and released music that has topped the charts. Now he has released a new album called Song. “Because the cello (大提琴) sings,” he explains. “There are no boundaries to music,” he said. “I enjoy what Ienjoy.”

Sheku comes from an incredible musical family in which all six of his siblings (he is the third child of seven) play instruments to a high standard—yet neither parents are musicians. Every spare penny goes into the children’s musical education. The whole family practised at home, which meant he sometimes had to play cello in the bathroom.

Every Saturday, Sheku wakes up at the crack of dawn in order to catch the train to London. He uses the journey to catch up with his A-Level homework. However Sheku still finds time for his other hobbies — he enjoys football, table tennis and listens to a wide range of music. Sheku began to play the cello at the age of six, after attending a concert. By the time he was nine, he had achieved Grade 8 and earned the top marks in the country. Since then he has won numerous awards.

“I would love to inspire more diversity in young people taking up classical music.”

Sheku is also passionate about building better opportunities for young people of any background to learn music at school. “You might never want to go on to become a musician, but it’s still so important. I’d love to help bring more music to schools.”

Many schools are having to cut music lessons to save money, which Kanneh-Mason believes deprives young people. “Children should study music for music’s sake,” he said. “It connects the emotional side of your brain — the creativity, the empathy (understanding how other people feel)— with something practical. To bring them together is a very powerful thing.”

【推荐1】Anxiety is part of your body’s stress response system, and it can be uncomfortable, overwhelming，and sometimes plain confusing.

“I describe anxiety as a future-centred emotional response to a threat,” says Joel Minden, PhD, a clinical psychologist and the author of Show Your Anxiety Who’s Boss. “We anticipate that something bad will happen. Maybe we have evidence. Maybe we don’t. But we have a belief that something disastrous might occur.”

Minden says, sympathetic nervous system controls involuntary processes such as breathing and heart rate. This leads to releasing adrenaline and cortisol (肾上腺素和皮质醇), two of the crucial substance that drive your body’s fight-freeze flight response and prompt anxiety’s physical symptoms. Your heart races, your blood pressure rises, your eyes became wider, you get short of breath, and you break put in sweat.

For Arthur, chronic (慢性) physical pain and discomfort were the most powerful manifestation of her disorder, but anxiety can show itself in many ways. You might constantly overthink plans or spend all of your time creating solutions to worst-case imagination. Maybe you feel uncertain and fear making the wrong decision. Or you might find yourself restless, nervous, and unable to relax.

Often, those symptoms last only as long as certain situations are present. Other times, anxiety can tip into becoming a chronic anxiety disorder such as generalized anxiety disorder, panic disorder, social anxiety disorder, obsessive compulsive disorder, stress disorder, or a panic.

The distinction between circumstantial or temporary anxiety and a more severe case isn’t always easy to make, says clinical psychologist David Carbonell, PhD, founder of the Anxiety Treatment Center in Chicago.

“There isn’t a blood test for anxiety. At some point, everybody experiences it,” he says. “It becomes a disorder when it disturbs your behavioral choices and your ability to do as you wish in life.”

【推荐3】A wildlife photographer was waiting, hoping to get a shot of a relatively rare bird, a particular kind of heron(鹭). He’d waited several frustrating hours in the woods, but with no luck at all. Suddenly, to the photographer’s delight, a heron settled on a branch right in front of him. The photographer raised his camera and took the shot. Feeling particularly pleased, the photographer looked at the image. To his astonishment, he saw that behind the heron, his photograph had also captured a very, very rare woodpecker flying past. He hadn’t seen it, but without even trying, he’d photographed an even rarer bird than the one he was aiming for. This is an example of serendipity.

Cases of serendipity can be found in numerous fields, such as science. Back in the 1800s, a man called Wellswas at a demonstration (演示) of laughing gas. After being given the gas, the patient started laughing, as expected. But then he suddenly fell over and cut his le g rather badly. To everyone’s surprise, the man reported that he couldn’t feel any pain. Wells hadn’t been looking for it, but he’d made a medical discovery — certain gases reduce and can even almost eradicate pain. Had Wells not been there that night, anesthesia (麻醉) might have taken longer to be discovered.

Most of us can probably think of at least one example of serendipity in our own lives. Jane, a friend of mine,was trying to come up with an idea for an article but got completely stuck. Frustrated, she decided to go out to a local café. As she was sipping her coffee, she heard two people talking behind her. A man was telling a story that sounded so unbelievable that she knew it had to be true. She asked the people if she could interview them for the article. They agreed and her article turned out to be one of the top trending articles of the week.