A good workout app is like having a training assistant in your pocket-it can help you push harder, lift heavier, and eat better. But with so many different apps to choose from, knowing which will help you reach your goals can be a challenge in itself. To help simplify your workout routine, we’ve hand-picked some of the best workout apps to use in 2022.

Nike Training Club
SPECIFICATIONS: Price: Free
REASONS TO BUY: + Content completely free
+Classes labeled by intensity
+ Home workouts
REASONS TO AVOID: —Nike removed certain training programs from app

With the update, Nike removed some of their training programs. It’s not perfect, but for a free app, there’s plenty to keep you moving here.

Centr
SPECIFICATIONS: Price: $29. 99 per month, annual subscription $10 per month
REASONS TO BUY: +Training programs
+Home and gym workouts
+ Meal plans
REASONS TO AVOID: —No option to play your own music

Centr offers daily workout videos covering a variety of disciplines. It features a 7-day free trial.

Strava
SPECIFICATIONS: Price: Free/$5 per month or $59. 99 per year
REASONS TO BUY: + Allows tracking for multiple sports
+Community surroundings
+30-day free trial of subscription
REASONS TO AVOID: —A lot of in-depth analysis features are behind paywall

The paid version gives users suggestions and plans based on other runners’ data.

Peloton
SPECIFICATIONS—Price: $13 per month; 30 days free for trials
REASONS TO BUY: + A wide range of motivational classes
+Easy to stack and save classes for later
+Live classes to join with friends
REASONS TO AVOID: —If you don’t have access to an exercise bike or treadmill (跑步机), you won’t get the most out of this platform.
1. What might be one reason why app users choose Nike Training Club?

A．Easy operation.	B．Outdoor programs.
C．Updated content.	D．Intensity-based classes.

2. Which app best suits people who enjoy outdoor sports?

A．Nike Training Club.	B．Centr.
C．Strava.	D．Peloton.

3. What is the common advantage of the four apps?

A．Users can enjoy live classes.	B．They provide further analysis.
C．Users have various choices to make.	D．They provide training classes.

While still in high school, Ryan and his mom registered an open-house program at the Academy for Career Technology High School, where he encountered Jim, a teacher of horticulture (园艺学) in the school.

Ryan attended Jim’s greenhouse class for two hours each day. He learned to identify and attend plants and became particularly interested in roses. At the end of the year, Ryan qualified for a certificate allowing him to work in plant nurseries.

After high school, Ryan had to complete a community-based assessment (CBA) to ensure he had the soft skills to succeed in a job. Ryan wanted to work in the university’s rose gardens during the CBA, which were very valuable and important to the university community. The university required that the job coach conducting Ryan’s assessment have a horticulture degree. Ryan’s mom Lori trusted Jim, who hence became Ryan’s paid job coach.

During the CBA, Ryan maintained the university’s huge rose gardens, keeping roses healthy by watering them, checking for and identifying diseases. Jim coached him on useful soft skills, such as asking questions of other coworkers or supervisors. Jim taught Ryan smart people ask questions so they can do their jobs the right way the first time.   

Evenings at home, Ryan surfed the Internet about attending roses and kept information in a file to look up later or show to a prospective employer. The university program also developed a short video profile for Ryan highlighting his previous experiences.

Ryan began his job search after he completed the CBA. The university program arranged for Jim to be Ryan’s job developer. He introduced Ryan to the owner of Moana Nursery, who met with Ryan, watched his video profile, and agreed to hire him. Ryan enjoys working outside, likes all the people at Moana Nursery, and has become an expert at a job he loves.

4. What does Ryan have to do if he intends to work in a plant nursery?

A．Gain a qualification.	B．Acquire a horticulture degree.
C．Pass a community-based assessment.	D．Attend an open-house program.

5. What is most probably one of the soft skills mentioned in the text?

A．Acquiring a certificate.	B．Getting professionally trained.
C．Identifying plant diseases.	D．Being eager to learn from others.

6. What is the probable reason why Moana Nursery employed Ryan?

A．They knew Ryan very well.	B．Ryan is an expert at plants.
C．They learned about Ryan’s story.	D．Ryan was a student of Jim.

7. Which of the following is a suitable title for the text?

A．Opportunity Knocks Only Once.	B．The Early Bird Catches the Worm.
C．Cooperation Leads to Where You Are.	D．Success Is All for the Prepared People.

American mathematician Dennis Sullivan has been awarded the 2022 Abel Prize, one of the most distinguished awards in math, for his contributions to the fields of topology and dynamical systems. Sullivan has been recognized for his groundbreaking contributions to topology in its broadest sense, and particularly its algebraic (代数的), geometric and dynamical aspects.

Topology is the study of properties of objects and spaces that do not change when they are deformed (变形). The field is sometimes called “rubber-sheet geometry”, because objects can be stretched into different shapes like rubber but cannot be broken. For instance, a square can be deformed into a circle without breaking, but a doughnut shape cannot.

Sullivan, born in Port Huron, Michigan, in 1941, began studying topology as a graduate student at Princeton University in the early 1960s. His 1966 doctoral thesis, called “Triangulating Homotopy Equivalences,” helped revolutionize the study of manifolds, spaces that look flat when viewed from any point on their surface but have a more complicated overall structure.

Subsequently Sullivan taught at several other universities. During this time, he gradually changed how mathematicians perceived algebraic and geometric topology, introducing new ideas and building a new vocabulary. In 1970, he wrote a set of unpublished notes widely circulated and considered hugely influential.

By the late 1970s, Sullivan began investigating problems in dynamical systems, which is the study of a point moving through a geometrical space and a fundamental part of chaos theory. His work united dynamical systems and algebraic topology in ways that had never been done. In 1985, Sullivan proved a 60-year-old assumption that points moving in complex dynamical systems eventually return to their starting point rather than wandering about endlessly.

“Dennis P. Sullivan has repeatedly changed the landscape of topology by introducing new concepts”, said Hans Munthe-Kaas, chair of the Abel Committee. “I’m not sure Sullivan sees the boundaries between different areas of mathematics the same as other people see it.”

8. What is the purpose of the second paragraph?

A．To clarify a concept.	B．To present a fact.
C．To explain a phenomenon.	D．To make an assumption.

9. Which of the following best describes Sullivian?

A．Promising and sincere.	B．Committed and pioneering.
C．Generous and intelligent	D．Ambitious and considerate.

10. Which statement corresponds with Sullivian’s new theory?

A．Spaces have a more complicated overall structure.

B．A doughnut can be deformed into a circle without breaking.

C．Dynamic systems and algebraic topology can’t be integrated.

D．Points moving in certain systems eventually return to their starting point.

11. What can we infer from Hans Munthe-Kaas’ remarks in the last paragraph?

A．Sullivian doesn’t normally agree with others.

B．Different areas of mathematics have no boundaries.

C．Sullivian may have his own way of viewing different areas of maths.

D．Hans Munthe-Kaas has prejudice against Sullivian in the areas of mathematics.