1 . Ariel Procaccia has thought a lot about how to cut a cake over the last 15 years. As the father of three children, he knows how hard it is to divide a birthday cake to everyone’s satisfaction. But it’s also because Procaccia’s work focuses on exploring the mathematical rules for dividing stuff up fairly. One way to do that is to think abstractly about dessert.
For decades, researchers have been asking the seemingly simple question of how to cut a cake fairly. The answer reaches far beyond birthday parties. A mathematical problem at its heart, cake cutting connects strict reasoning to real-world issues of fairness, and so attracts not only mathematicians, but also social scientists, economists and more. “It’s a very elegant model in which you can distill what fairness really is, and reason about it,” Procaccia says.
The simplest approach is called the “divider-chooser” method, where one person cuts the cake into two equal pieces in his view, and the other person picks first. Each receives a piece that they feel is as valuable as the other’s. But when personal preferences are taken into account, even the easiest rule becomes complicated. Suppose Alice and Bob are to divide a cake, and Alice knows Bob prefers chocolate, she may knowingly divide the cake unequally so the smaller piece contains more chocolate. Then Bob will choose according to his preference, and Alice will get the larger piece. Both of them are satisfied with what they get, but the meaning of fairness changes in this situation.
The cake is a symbol for any divisible good. When cake-cutting principles are employed to settle disagreements, they are potentially helping the world find solutions. Procaccia has used fair division algorithms (算法) to model food distribution. Social scientist Haris Aziz is exploring situations ranging from how to divide up daily tasks to how to best schedule doctors’ shifts in hospitals.
Even after decades of investigation, cake cutting isn’t like a simple jigsaw puzzle (拼图) with a well-defined solution. Instead, over time, it has evolved into a kind of mathematical sandbox, a constructive playground that brings together abstract proofs and easy applications. The more researchers explore it, the more there is to explore.
1. What does the underlined word “distill” in paragraph 2 mean?A.Get the essence of. | B.Find the opposite of. |
C.Keep the focus on. | D.Reduce the impact on. |
A.Its standard is stable. | B.It prevents unequal division. |
C.Its concept is complex. | D.It dominates personal preferences. |
A.The application of its rules. | B.The details of its process. |
C.The problems it produces. | D.The harmony it symbolizes. |
A.Who benefits most from fairness? |
B.How has fairness changed over time? |
C.What method works best in cake-cutting? |
D.Why are researchers so interested in cake-cutting? |
2 . Genetic testing companies have a long history of creative attempts to reach the mainstream. An early example was the sequencing of rock star Ozzy Osbourne’s genes in 2010, with accompanying guess about how they might have influenced his drug habits.
Lately, such projects have taken on a new, highly commercialized tendency. In 2017, we got the “Marmite (马麦酱) gene project,” run by London-based genetic testing start-up DNAfit. It claims to show that love or hate for Marmite was in our genes. The project turned into a full-blown marketing campaign, and even sold Marmite-branded DNA testing tools.
DNAfit is now working with Mercedes-Benz to find out whether specific genetic traits are associated with business wisdom. AncestryDNA, the world’s largest consumer genetic testing company, last year teamed up with Spotify to promote “music tailored to your DNA.” Just a few weeks ago, 23andMe, the second largest, announced a partnership with Airbnb to provide genetically tailored travel experiences, also inspired by ancestral DNA.
I have skin in this game. I run a genetic-testing start-up that connects people who want their genome sequenced with researchers who want data to improve their understanding of genetic disease. I believe that broadening access to DNA testing can be a powerful force for good, providing safer, more effective medicines and giving people more power over their healthcare. But these campaigns risk discrediting the industry, by giving a misleading impression of what genetics can and can't say and its role in determining behaviours and personal preferences.
Take the Marmite study. It covered 261 people — tiny, by the standards of the field. It was published not in a journal, but online on bioRxiv, a server where scientists typically put results before peer-review. Shortly after, researchers looked at the genetic data of more than 500 times as many people in the UK Biobank and found no such correlation. A large peer-reviewed study in 2013 found no significant link between genes and business common sense.
We need to inform the public about what this is all about: that is, the gathering of large amounts of genetic data. We need better regulation to ensure that consumers are clear that this may happen with this sensitive personal information. A checkbox on a 20-page web document full of legal terms should not be enough.
Scientists too, need to start asking hard questions about whether the information they are using has been sourced ethically. DNA testing has a great future, but we can't build this future with data acquired by any means.
1. The author mentions DNAfit, AncestryDNA and 23andMe in order to __________.A.highlight the problems facing genetic testing |
B.illustrate the commercial applications of DNA |
C.compare what progress the companies have made |
D.reveal the link between DNA and a person's character |
A.is challenging the available treatment for skin disease |
B.has a personal investment in the genetic-testing business |
C.hopes to remove people's misunderstanding of the game rules |
D.believes that every individual should have access to DNA testing |
A.The disadvantages of genetic testing. | B.The scientific value of genetic testing. |
C.The legal system genetic testing needs. | D.The essentials for proper genetic testing. |
A.DNA Is Anything but a Marketing Tool | B.Genetic Testing Campaigns Aren't Legal |
C.Creative Marketing Is Key to Genetic Testing | D.DNA Testing Has Become a Booming Industry |
I’ve always known that I’m very quick with my hands. If someone throws something, I catch it almost before I’m aware it has been thrown. When I was young, I had no idea how useful this skill would become.
Last week, I was going to visit a friend with her newborn and was on my way to a toy store to buy a gift. I’d once lived in the neighbourhood and I decided to head back to my old cupcake shop for a coffee. Sitting alone at a table outside with my drink, I was approached by an older man, who in a calm and very matter-of-fact way told me to call 911, because there was a baby on a fire escape.
I jumped up to see where the baby was. I was so surprised to see it, wearing a little onesie (连体衣) and lying on the fire escape railings (栏杆) between the second and third storeys. I was nervous, so the baby boy became my only priority.
As I was on the phone to the emergency services, I made eye contact with the child, keeping him calm, telling him to stay there. Some people were going up the stairs to find the parents, who were apparently sleeping through the whole drama.
I just wanted the child to feel safe. I hoped he’d stay there until somebody could rescue him. Apparently he had slipped through pieces of cardboard placed next to an air-conditioning unit in the window, and without bars to protect him he’d crawled (爬) out and up the fire escape towards the next storey. He was only 16 months old. For him to even climb up and balance in that position was incredible.
Then he slipped. Instinctively (本能), he grabbed on the railing as he fell, hanging by his arms. I knew he couldn’t hold on, 25 feet above the street, for long. I sensed people had gathered behind, but my attention was purely focused on my intention to catch the baby.
注意:1. 续写词数应为150左右;
2. 请按如下格式在答题卡的相应位置作答。
I made sure I was positioned to catch him.
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________The moments after he was saved were exciting.
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________