induction
formal introduction to a role or group
The official time when someone is welcomed into a new job, position, or group and is given first information or training.
the induction of [someone] into [a job/organization]
- All new staff must attend a two-day induction before starting work on site.
- Her induction into the company included safety training and a tour of the building.
- The museum held an induction ceremony for the latest members of its board of trustees.
- During the induction, the manager explained the company’s values and policies.
- The hall was filled with fans for the singer’s induction into the Rock & Roll Hall of Fame.
- My first day was an induction for new workers.
- At the induction, they told us about the company rules.
- We met our team leader during the induction.
- He felt nervous before his induction into the sports club.
- The school has an induction day for new students.
reasoning from examples to general rule
A way of thinking where you look at many examples and then say what is usually true for all similar cases.
induction from [examples/observations] to [a general rule]
- In science, many theories are built by induction from experimental results.
- Hume famously questioned whether induction can ever be logically justified.
- From a small sample, any induction about the whole population is uncertain.
- The course introduces students to induction and deduction in everyday decision-making.
- Data scientists rely heavily on induction when they look for patterns in large datasets.
- Induction is important in scientific thinking.
- With induction, we see many cases and then make one general idea.
- The teacher showed how induction can lead to a wrong rule.
- They used induction to guess a rule from the numbers.
- Philosophy books often talk about induction and deduction.
medical starting of childbirth
A hospital process where doctors make labor start using medicine or other medical methods.
the induction of [labor] at [time]
- Because the pregnancy was overdue, the doctor recommended an induction of labor.
- She checked into the hospital on Monday evening for a planned induction.
- The midwife explained the risks and benefits of induction before the couple signed the consent form.
- After twelve hours, the induction had not worked and they decided on a cesarean section.
- Some women prefer to avoid induction unless there is a clear medical reason.
- The doctor says I may need an induction next week.
- She went to the hospital for an induction of labor.
- The induction started in the morning, and the baby came at night.
- They talked about the possible side effects of induction.
- He took time off work for his partner’s induction.
electromagnetic production of electricity
A physical process where a changing magnet field makes electricity in a nearby wire or metal.
induction of [current/voltage] in [a conductor]
- Generators use electromagnetic induction to turn mechanical motion into electricity.
- Faraday’s experiments on induction changed the history of electrical engineering.
- Induction heating is used in modern cooktops to heat pans quickly and efficiently.
- The design of the induction motor makes it robust and easy to maintain.
- Students repeated a classic experiment to observe induction in a simple coil and magnet setup.
- An induction motor works using a changing magnetic field.
- The teacher showed induction by moving a magnet near a coil of wire.
- Many new stoves use induction to heat metal pots.
- Faraday studied induction in the nineteenth century.
- Induction is very important in power stations.
mathematical proof by induction
A way to prove a math rule is true for all whole numbers by proving it for the first number and then proving that if it is true for one number, it is also true for the next number.
proof by induction on [a variable]
- We will now give a proof of this formula by induction on n.
- The homework asks you to use induction to show that the sum of the first n odd numbers is n squared.
- Strong induction is often easier to apply than simple induction in number theory.
- Her thesis begins with a brief review of induction and other methods of proof.
- If you are not careful with the inductive step, an induction can fail even when the statement is true.
- The teacher showed a simple proof by induction.
- We used induction to prove a rule about even numbers.
- In class, I learned how induction works in math.
- This problem is easier if you use induction on n.
- Induction is a common method of proof in algebra.
- Base: induction
- Plural: induction, inductions
induction ceremony
1formal event to welcome new member
A special formal event where a person is officially welcomed into a group, job, or honor.
- The club held an induction ceremony for its new members.
- Her induction ceremony into the Hall of Fame was broadcast live on television.
- Parents were invited to attend the induction ceremony for the student council.
induction of labor
1medical starting of labor
A medical process where doctors make labor start, usually with medicine or other hospital methods.
- The doctor scheduled an induction of labor for forty-one weeks.
- An induction of labor may be suggested if the pregnancy goes far past the due date.
- She asked about the possible risks before agreeing to an induction of labor.
mathematical induction
1standard math induction method
A common method in mathematics to prove that a rule is true for every natural number, using a first case and a step from one case to the next.
- We will use mathematical induction to prove this identity.
- The textbook introduces mathematical induction in the chapter on sequences.
- Mathematical induction is a powerful tool, but it must be applied carefully.
proof by induction
1mathematical proof using induction
A way to show a math rule is true for all whole numbers by proving it for the first number and then showing it is true for the next number if it is true for one number.
- The lecturer demonstrated a proof by induction for the binomial theorem.
- Your assignment is to give a proof by induction that this sequence is always positive.
- We often use proof by induction when dealing with statements about natural numbers.
staff induction
1introduction process for new staff
The organized process a workplace uses to welcome new workers and give them important first information and training.
- All new teachers must attend a staff induction before the term starts.
- The company runs a one-week staff induction for graduates.
- Health and safety training is part of the staff induction program.