Vocabulary

  • spread out: To extend or stretch over a large area.
  • trade off: Exchange that occurs as a compromise
  • over time: Gradually; as time passes.
  • in time: Eventually; after a period of time.
  • think of: To look on as (being something specific); consider
  • to do with: To be about something; concern
  • think about: To consider something carefully.
  • talking about: To discuss a particular topic.
  • have to: Must do
  • in mind: Being aware of or considering something.
  • fall out
  • in sync: Operating or occurring at the same time or rate.
  • point in time: A specific moment or instance when something occurs or exists.
  • in terms of
  • balance out: To make or become more equal to another thing
  • look at: To use your eyes to focus on something
  • analogous to: Comparable in certain respects, typically in a way that clarifies the nature of the things compared.
  • know about: To have information or understanding of a subject or situation.
  • take some time: To allocate or dedicate a period to a specific activity or purpose.
  • out of sync: Not occurring at the same time or rate; not synchronized.
  • in the extreme: To a very great degree; extremely.
  • rather than: More exactly; more correctly
  • bring in: To earn a certain amount of money or profits
  • put out: To publish, e.g. a book
  • go ahead: To start an activity; start doing, working etc.
  • come up: To come closer to someone; approach
  • drop off: To leave someone, something somewhere
  • on the other hand : Considering a different aspect of the matter; alternatively.
  • off of: From a position on something; down from.
  • in the field: Working or doing research in a real-world environment, not in a classroom or laboratory.
  • in practice: In reality or actual use; as opposed to in theory.
  • break it down: To simplify something complex into smaller, more manageable parts.
  • major in: To specialize in a particular subject at college or university.
  • fly into: Suddenly become very angry or emotional.
  • as soon as: In a short time after (something happens)
  • on earth: Used to emphasize a question expressing surprise or anger.
  • number of people: The total count of individuals within a group or gathering.
  • wait for: To wait until someone comes, or something happens
  • used to: Did regularly before, but don't do now
  • in the way: Obstructing someone or something; hindering progress.
  • wave in: Signal or gesture for someone to enter a place.
  • at play here: Having an influence or effect in a particular situation.
  • just plain weird: Extremely strange or unusual; very odd.
  • phenomenon: Unusual event, fact that can be studied
  • multiple: Having or involving more than one of something
  • slightly: Only a little
  • period: Set amount of time during which events take place
  • matter: To be of great importance; to count
  • intuitive: Able to understand by feeling rather than fact
  • general: Widespread, normal or usual
  • necessarily: In a way that is needed/required/is unavoidable
  • strength: Condition of being strong
  • position: Person's opinion or attitude about something
  • describe: To tell the appearance, sound, smell of something
  • metaphor: Imaginative use of words to reveal a similarity
  • imagine: To think creatively about; form mental picture of
  • fundamental: Forming a necessary part, base, or core
  • spread: A big meal, often laid out as a buffet
  • measure: Plan to achieve a desired result
  • concentrate: To cause to be present in large amount or number
  • shift: To change in position or direction
  • bit: Device put in a horse's mouth to control it
  • momentum: Speed or force that is gained when something moves
  • mean: Average of a set of numbers
  • reference: A letter of recommendation, e.g. for a job
  • plot: Small piece of land for a house growing crops etc.
  • require: To demand that someone does something
  • principle: Moral rule or belief governing a person's behavior
  • effect: An advantage, benefit
  • core: To take out the central section of a fruit
  • distance: Lack of friendliness toward another person
  • mass: Religious ceremony in some Christian churches
  • persist: To continue a course of action despite opposition
  • trade: A specific industry, e.g. shoe making
  • mind: To be bothered or upset by something
  • fall: Season after summer and before winter; Autumn
  • observation: Remark or comment on something you noticed
  • energy: Physical or mental strength
  • phase: Different stages of the moon from new to full
  • object: Something you can see or touch, but is not alive
  • ambiguous: Able to be understood in more than one way
  • frequency: Number of repetitions of (radio or sound) wave
  • velocity: Speed in a given direction
  • premise: Foundation idea in an argument/discussion
  • transform: To change the shape completely in a good way
  • duration: Length of time that something lasts
  • sound: Sensible, dependable and reliable
  • sync: Short for 'synchronization'
  • kind: In a caring and helpful manner
  • uncertainty: Feeling of not really knowing what will happen
  • spatial: About space
  • particle: Adverb or preposition that joins with a verb
  • point: An item to be discussed
  • quantum: The smallest unit or amount of energy
  • versa: used to say that what you have just said is also true in the opposite order
  • rotate: To regularly change people who perform a role
  • deduce: To use logic or reason to reach a conclusion
  • radar: Radio device used to find the location of objects
  • oscillate: To keep moving back and forth many times
  • setup: Way something is organized or arranged
  • relativity: Einstein theory about time, space and position
  • vector: Math a quantity that has both size and direction
  • analogous: Similar and comparable to
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    • ambiguous

      US /æmˈbɪɡjuəs/

      UK /æmˈbɪgjuəs/

      • Adjective
      • Able to be understood in more than one way
      B1TOEIC
      More
    • analogous

      US /əˈnæləɡəs/

      UK /əˈnæləgəs/

      • Adjective
      • Similar and comparable to
      B2
      More
    • analogous to

      US

      UK

      • Adjective
      • Comparable in certain respects, typically in a way that clarifies the nature of the things compared.
      A1
      More
    • as soon as

      US /æz sun æz/

      UK /æz su:n æz/

      • Phrase
      • In a short time after (something happens)
      • Without any delay; immediately
      • Conjunction
      • At the moment that, or immediately after.
      A1
      More
    • at play here

      US

      UK

      • Phrase
      • Having an influence or effect in a particular situation.
      • In operation or having an effect in a particular situation or context.
      A1
      More
    • balance out

      US /ˈbæləns aʊt/

      UK /ˈbæləns aut/

      • Phrasal Verb
      • To make or become more equal to another thing
      A2
      More
    • break it down

      US

      UK

      • Phrasal Verb
      • To simplify something complex into smaller, more manageable parts.
      • To explain something in a detailed and understandable way.
      A2
      More
    • bring in

      US /brɪŋ ɪn/

      UK /briŋ in/

      • Phrasal Verb
      • To earn a certain amount of money or profits
      • To add person into existing group, e.g. phone call
      A1
      More
    • come up

      US /kʌm ʌp/

      UK /kʌm ʌp/

      • Phrasal Verb
      • To come closer to someone; approach
      • (Of sun) to rise into the sky in the morning
      A1
      More
    • concentrate

      US /ˈkɑnsənˌtret/

      UK /'kɒnsntreɪt/

      • Verb (Transitive/Intransitive)
      • To cause to be present in large amount or number
      • To pay great attention to a task; focus
      • Noun (Countable/Uncountable)
      • A substance made by removing water or other diluents; a concentrated form of something.
      A2
      More
    • core

      US /kɔr, kor/

      UK /kɔ:(r)/

      • Transitive Verb
      • To take out the central section of a fruit
      • Noun (Countable/Uncountable)
      • Important central part of something
      • The hard central part of certain fruits, containing the seeds.
      A2
      More
    • deduce

      US /dɪˈdu:s/

      UK /dɪˈdju:s/

      • Transitive Verb
      • To use logic or reason to reach a conclusion
      B2TOEIC
      More
    • distance

      US /ˈdɪstəns/

      UK /'dɪstəns/

      • Uncountable Noun
      • Lack of friendliness toward another person
      • Noun (Countable/Uncountable)
      • Amount of space between two places or things
      • A point or place that is far away.
      A2
      More
    • drop off

      US /drɑp ɔf/

      UK /drɒp ɒf/

      • Phrasal Verb
      • To leave someone, something somewhere
      • To fall asleep
      • Verb (Transitive/Intransitive)
      • To take someone or something to a particular place and leave them there.
      A1
      More
    • duration

      US /duˈreɪʃn/

      UK /djuˈreɪʃn/

      • Uncountable Noun
      • Length of time that something lasts
      B1TOEIC
      More
    • energy

      US /ˈɛnədʒi/

      UK /'enədʒɪ/

      • Noun (Countable/Uncountable)
      • Physical or mental strength
      • Enthusiasm and determination.
      A2
      More
    • fall out

      US /fɔl aʊt/

      UK /fɔ:l aut/

      • Phrasal Verb
      • To stop being friends with; have a disagreement
      A1
      More
    • fly into

      US /flaɪ ˈɪntu/

      UK /flai ˈintu:/

      • other
      • Suddenly become very angry or emotional.
      • Move quickly into a place, usually by flying.
      B2
      More
    • frequency

      US /ˈfrikwənsi/

      UK /'fri:kwənsɪ/

      • Uncountable Noun
      • Number of repetitions of (radio or sound) wave
      • How often something happens
      B1TOEIC
      More
    • fundamental

      US /ˌfʌndəˈmɛntl/

      UK /ˌfʌndəˈmentl/

      • Adjective
      • Forming a necessary part, base, or core
      • Of central importance.
      • Noun (Countable/Uncountable)
      • A basic part of something
      • (Music) the lowest note in a harmony
      A2TOEIC
      More
    • go ahead

      US /ɡo əˈhɛd/

      UK /ɡəu əˈhed/

      • Phrasal Verb
      • To start an activity; start doing, working etc.
      • To give permission to do something
      • Intransitive Verb
      • To start or proceed with something
      • To proceed despite potential obstacles or doubts.
      A1
      More
    • have to

      US /hæv tu/

      UK /ˈhæv tə/

      • Auxiliary Verb
      • Must do
      A1
      More
    • in mind

      US /ɪn maɪnd/

      UK /in maind/

      • Phrase
      • Being aware of or considering something.
      • To remember or consider something.
      A2
      More
    • in practice

      US /ɪn ˈpræktɪs/

      UK /in ˈpræktis/

      • Phrase
      • In reality or actual use; as opposed to in theory.
      A1
      More
    • in sync

      US /ɪn sɪŋk/

      UK /in siŋk/

      • Adjective
      • Operating or occurring at the same time or rate.
      • Adverb
      • In a state of coordination or harmony.
      More
    • in terms of

      US

      UK

      • Phrase
      • With regard to; concerning a particular aspect.
      A1
      More
    • in the extreme

      US /ɪn ði ɪkˈstrim/

      UK /in ði: ɪkˈstri:m/

      • other
      • To a very great degree; extremely.
      C1
      More
    • in the field

      US

      UK

      • Phrase
      • Working or doing research in a real-world environment, not in a classroom or laboratory.
      • Located on the playing area of a sports ground.
      A1
      More
    • in the way

      US /ɪn ði we/

      UK /in ðə wei/

      • Phrase
      • Obstructing someone or something; hindering progress.
      • Stored or placed so as to be available or ready when needed.
      A1
      More
    • in time

      US /ɪn taɪm/

      UK /in taim/

      • Adverb
      • Eventually; after a period of time.
      • Not late; with enough time to spare.
      • Phrase
      • Eventually; before it is too late.
      • According to the scheduled time; punctual.
      A1
      More
    • intuitive

      US /ɪnˈtuɪtɪv, -ˈtju-/

      UK /ɪnˈtju:ɪtɪv/

      • Adjective
      • Able to understand by feeling rather than fact
      • Easy to use and understand.
      B2
      More
    • just plain weird

      US

      UK

      • Phrase
      • Extremely strange or unusual; very odd.
      B2
      More
    • know about

      US /noʊ əˈbaʊt/

      UK /nəʊ əˈbaut/

      • Phrasal Verb
      • To have information or understanding of a subject or situation.
      More
    • look at

      US /lʊk æt/

      UK /luk æt/

      • Phrasal Verb
      • To use your eyes to focus on something
      • To focus your eyes on something carefully
      A1
      More
    • major in

      US

      UK

      • Verb (Transitive/Intransitive)
      • To specialize in a particular subject at college or university.
      A1
      More
    • mass

      US /mæs/

      UK /mæs/

      • Noun (Countable/Uncountable)
      • Religious ceremony in some Christian churches
      • Large amount or number of something
      • Transitive Verb
      • To gather people or things into a large group
      B1
      More
    • metaphor

      US /ˈmɛtəˌfɔr, -fɚ/

      UK /ˈmetəfə(r)/

      • Noun
      • Imaginative use of words to reveal a similarity
      B1
      More
    • momentum

      US /moˈmɛntəm/

      UK /mə'mentəm/

      • Uncountable Noun
      • Speed or force that is gained when something moves
      B2TOEIC
      More
    • multiple

      US /ˈmʌltəpəl/

      UK /ˈmʌltɪpl/

      • Adjective
      • Having or involving more than one of something
      • Having or involving several parts, elements, or members.
      • Countable Noun
      • Number produced by multiplying a smaller number
      • A number of identical circuit elements connected in parallel or series.
      B1
      More
    • necessarily

      US /ˌnɛsɪˈsɛrəli, -ˈsɛr-/

      UK /ˌnesəˈserəli/

      • Adverb
      • In a way that is needed/required/is unavoidable
      A2TOEIC
      More
    • number of people

      US /ˈnʌmbɚ ʌv ˈpipəl/

      UK /ˈnʌmbə ɔv ˈpi:pl/

      • Phrase
      • The total count of individuals within a group or gathering.
      • A statistical figure representing the population size or a subset thereof.
      A1
      More
    • object

      US /ˈɑbdʒɪkt/

      UK /'ɒbdʒɪkt/

      • Noun (Countable/Uncountable)
      • Something you can see or touch, but is not alive
      • Goal or purpose of a particular plan or activity
      • Verb (Transitive/Intransitive)
      • To disagree; to protest against an idea or plan
      • To state one's reason for disagreement
      A2TOEIC
      More
    • observation

      US /ˌɑbzɚˈveʃən/

      UK /ˌɒbzəˈveɪʃn/

      • Noun (Countable/Uncountable)
      • Remark or comment on something you noticed
      • Practice of performing actions required by rules
      B1
      More
    • off of

      US /ɔf ʌv/

      UK /ɔf ɔv/

      • Preposition
      • From a position on something; down from.
      A1
      More
    • on earth

      US /ɑn ɚθ/

      UK /ɔn ə:θ/

      • Phrase
      • Used to emphasize a question expressing surprise or anger.
      • Used to emphasize that something is not possible or will not happen.
      A1
      More
    • on the other hand

      US

      UK

      • Phrase
      • Considering a different aspect of the matter; alternatively.
      A1
      More
    • oscillate

      US

      UK

      • Intransitive Verb
      • To keep moving back and forth many times
      B2
      More
    • out of sync

      US

      UK

      • Adjective
      • Not occurring at the same time or rate; not synchronized.
      • Not in agreement or harmony.
      A1
      More
    • over time

      US /ˈovɚ taɪm/

      UK /ˈəuvə taim/

      • Phrase
      • Gradually; as time passes.
      • During a long period.
      • Adverb
      • Gradually; as time passes.
      B1
      More
    • particle

      US /ˈpɑrtɪkəl/

      UK /ˈpɑ:tɪkl/

      • Noun
      • Adverb or preposition that joins with a verb
      • Tiny piece or quantity of something
      B1
      More
    • persist

      US /pɚˈsɪst, -ˈzɪst/

      UK /pə'sɪst/

      • Intransitive Verb
      • To continue a course of action despite opposition
      • To continue to exist or occur beyond the usual, expected, or desired time.
      B1TOEIC
      More
    • phase

      US /fez/

      UK /feɪz/

      • Noun
      • Different stages of the moon from new to full
      • Distinct part or step in a process
      • Transitive Verb
      • To make happen in a gradual ordered way
      A2
      More
    • phenomenon

      US /fɪˈnɑməˌnɑn, -nən/

      UK /fə'nɒmɪnən/

      • Noun (Countable/Uncountable)
      • Unusual event, fact that can be studied
      • Interesting or unusual person, group
      B1
      More
    • plot

      US /plɑt/

      UK /plɒt/

      • Countable Noun
      • Small piece of land for a house growing crops etc.
      • Series of events that form the main story
      • Transitive Verb
      • To mark a path, etc. on a map, using lines or dots
      • To devise or develop a dramatic storyline
      B1
      More
    • point in time

      US

      UK

      • Noun
      • A specific moment or instance when something occurs or exists.
      • A significant juncture or stage in history or a sequence of events.
      A1
      More
    • premise

      US /ˈprɛmɪs/

      UK /'premɪs/

      • Noun (Countable/Uncountable)
      • Foundation idea in an argument/discussion
      • A previous statement or proposition from which another is inferred or follows as a conclusion.
      • Transitive Verb
      • To base your argument on
      • State or assume as a premise.
      B1TOEIC
      More
    • principle

      US /ˈprɪnsəpəl/

      UK /ˈprɪnsəpl/

      • Noun (Countable/Uncountable)
      • Moral rule or belief governing a person's behavior
      • Natural law that explains how things work
      A2TOEIC
      More
    • put out

      US /pʊt aʊt/

      UK /put aut/

      • Phrasal Verb
      • To publish, e.g. a book
      • To cause someone to be troubled or inconvenienced
      A1
      More
    • quantum

      US /ˈkwɑ:ntəm/

      UK /ˈkwɒntəm/

      • Noun (Countable/Uncountable)
      • The smallest unit or amount of energy
      B2
      More
    • radar

      US /ˈredɑr/

      UK /ˈreɪdɑ:(r)/

      • Noun
      • Radio device used to find the location of objects
      B2
      More
    • rather than

      US

      UK

      • Adverb
      • More exactly; more correctly
      • Preferably; instead
      • Preposition
      • Instead of
      A1
      More
    • reference

      US /ˈrɛfərəns, ˈrɛfrəns/

      UK /'refrəns/

      • Noun
      • A letter of recommendation, e.g. for a job
      • Note in a book, etc. giving source of information
      • Transitive Verb
      • To cite a piece of research in speech or writing
      • Mention or refer to.
      A2TOEIC
      More
    • relativity

      US /ˌrɛləˈtɪvɪti/

      UK /ˌreləˈtɪvəti/

      • Uncountable Noun
      • Einstein theory about time, space and position
      • The state of being relative; dependence on a frame of reference.
      C2
      More
    • require

      US /rɪˈkwaɪr/

      UK /rɪ'kwaɪə(r)/

      • Transitive Verb
      • To demand that someone does something
      • To need to do something, to make it necessary
      A2TOEIC
      More
    • rotate

      US /ˈroʊteɪt/

      UK /rəʊˈteɪt/

      • Verb (Transitive/Intransitive)
      • To regularly change people who perform a role
      • To regularly change the crops that grow in a field
      B2
      More
    • setup

      US /ˈsɛtˌʌp/

      UK /'setʌp/

      • Noun
      • Way something is organized or arranged
      B2TOEIC
      More
    • shift

      US /ʃɪft/

      UK /ʃɪft/

      • Verb (Transitive/Intransitive)
      • To change in position or direction
      • To move something from one place to another
      • Noun (Countable/Uncountable)
      • A change in a persons plans, opinions or beliefs
      • Period of work starting at a certain time
      A2
      More
    • slightly

      US /ˈslaɪtli/

      UK /ˈslaɪtli/

      • Adverb
      • Only a little
      B1
      More
    • spatial

      US /ˈspeʃəl/

      UK /ˈspeɪʃl/

      • Adjective
      • About space
      B1
      More
    • spread

      US /sprɛd/

      UK /spred/

      • Noun (Countable/Uncountable)
      • A big meal, often laid out as a buffet
      • The distance between two things
      • Verb (Transitive/Intransitive)
      • To place over a large area; to cover a large area
      • (Of ideas, gossip) to pass to and affect others
      A2TOEIC
      More
    • spread out

      US /sprɛd aʊt/

      UK /spred aut/

      • Phrasal Verb
      • To extend or stretch over a large area.
      • To arrange things so that they cover a large area.
      B2
      More
    • strength

      US /strɛŋkθ, strɛŋθ, strɛnθ/

      UK /streŋθ/

      • Noun (Countable/Uncountable)
      • Condition of being strong
      • The quality or state of being physically strong.
      A2TOEIC
      More
    • sync

      US /sɪŋk/

      UK /sɪŋk/

      • Noun
      • Short for 'synchronization'
      C1
      More
    • take some time

      US

      UK

      • Verb (Transitive/Intransitive)
      • To allocate or dedicate a period to a specific activity or purpose.
      A1
      More
    • talking about

      US

      UK

      • Phrasal Verb
      • To discuss a particular topic.
      • To be constantly mentioning or bringing up a subject.
      A1
      More
    • think about

      US /θɪŋk əˈbaʊt/

      UK /θiŋk əˈbaut/

      • Phrasal Verb
      • To consider something carefully.
      • To remember or call to mind.
      A1
      More
    • think of

      US /θɪŋk ʌv/

      UK /θiŋk ɔv/

      • Phrasal Verb
      • To look on as (being something specific); consider
      • To consider or remember something.
      • Verb (Transitive/Intransitive)
      • To imagine or call something to mind
      A1
      More
    • to do with

      US

      UK

      • Phrasal Verb
      • To be about something; concern
      A1
      More
    • trade

      US /treid/

      UK /treɪd/

      • Noun (Countable/Uncountable)
      • A specific industry, e.g. shoe making
      • Action of buying and selling things in business
      • Transitive Verb
      • To buy, sell and exchange goods in business
      • To give something in return for something else
      A2TOEIC
      More
    • trade off

      US /treid ɔf/

      UK /treid ɔf/

      • Noun (Countable/Uncountable)
      • Exchange that occurs as a compromise
      • Verb (Transitive/Intransitive)
      • To accept that you cannot have everything you want and give up something that is less important so that you can have what is more important.
      • To balance two opposing situations or qualities; to compromise.
      C2
      More
    • transform

      US /trænsˈfɔrm/

      UK /træns'fɔ:m/

      • Transitive Verb
      • To change the shape completely in a good way
      • To convert from one form or substance into another.
      C2
      More
    • uncertainty

      US /ʌnˈsə:tn:ti/

      UK /ʌn'sɜ:tntɪ/

      • Uncountable Noun
      • Feeling of not really knowing what will happen
      • Lack of confidence; doubt.
      B2TOEIC
      More
    • used to

      US /juzd tu/

      UK /ˈju:st tə/

      • Adjective
      • Did regularly before, but don't do now
      • Auxiliary Verb
      • Have done before, but do not do now
      A1
      More
    • vector

      US /ˈvɛktɚ/

      UK /'vektə(r)/

      • Noun
      • Math a quantity that has both size and direction
      B2
      More
    • velocity

      US /vəˈlɑsɪti/

      UK /və'lɒsətɪ/

      • Noun (Countable/Uncountable)
      • Speed in a given direction
      • The rate of change of an object's position with respect to time; a vector quantity.
      B1
      More
    • versa

      US /'vɜ:sə/

      UK /'vɜ:sə/

      • Adverb
      • used to say that what you have just said is also true in the opposite order
      C1
      More
    • wait for

      US /wet fɔr/

      UK /weit fɔ:/

      • Phrasal Verb
      • To wait until someone comes, or something happens
      A1
      More
    • wave in

      US /weɪv ɪn/

      UK /weɪv ɪn/

      • other
      • Signal or gesture for someone to enter a place.
      B2
      More
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    01:03

    She took a brave step forward, leaving behind her comfort zone to chase her dreams.

    Vocabulary
    • brave

      adj. Having courage

    • comfort zone

      phr. A familiar situation where one feels safe

    Explanation
    a brave step is a noun phrase, where brave is an adjective modifying the noun step, meaning "a courageous step". forward is an adverb modifying step, meaning "ahead". The whole phrase serves as the object, answering the "what" of took (verb) — she took a brave step forward.

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    brave

    US/brev/
    UK/breɪv/
    adj.Brave
    v.t.To bravely face
    A2 Elementary

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    B1US
    #frequency#signal#transform#wave#spread#particle

    The more general uncertainty principle, regarding Fourier transforms

    0
    方崇嘉 posted on 2025/05/09
    Ever wondered how Doppler radar works or what a wave packet really is? This video dives into the fascinating world of the uncertainty principle and Fourier transforms, giving you a super clear visual intuition for complex physics concepts! You'll boost your understanding and pick up some awesome advanced vocabulary along the way.

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