Vocabulary

  • at least: As a minimum
  • no matter: Regardless of; it does not matter.
  • for example: As an illustration or instance.
  • as long as: For the period that; provided that.
  • instead of: When one thing is replaced by another
  • of course: Sure ; Certainly
  • used to: Did regularly before, but don't do now
  • write down: To record in writing
  • in fact: Used to emphasize the truth of a statement, especially one that contrasts with or contradicts something else.
  • come up with: To think of an idea or solution; produce
  • such as: For example; like
  • of yours: Belonging to you; your possession or property.
  • cooking with gas: Working efficiently and effectively, making good progress.
  • as you like: In any way that you want; according to your preference.
  • for instance: As an example.
  • take for example: To use as an instance or illustration.
  • sum up
  • in other words: Stating something in a different way, often to make it clearer or more understandable.
  • add up to: To amount to a particular sum or total.
  • look at: To use your eyes to focus on something
  • going on: To continue doing something
  • as well as: Also; in addition to
  • number: Symbols such as 1, 2, 56, 793
  • big: Popular
  • smaller: Less in amount or less large in size
  • close: Almost; near
  • write: To compose letters and words on paper or a screen
  • draw: To attract attention to someone or something
  • answer: To reply to a question someone asks
  • question: To ask for or try to get information
  • easy: Not hard to do; not difficult
  • wall: High, flat side of a room or building
  • writing: To compose letters and words on paper or a screen
  • place: To put someone in a particular type of situation
  • grouping: To combine or collect objects or people together
  • class: To place things into groups by common qualities
  • long: Person's name
  • term: Conditions applying to an agreement, contract
  • add: To include as well
  • square: Shape with 4 equal length sides and 4 equal angles
  • area: Amount of measured space
  • list: To lean to one side, like a boat or ship
  • matter: To be of great importance; to count
  • large: Big; of great size; broad, tall, wide, or fat
  • degree: Amount or extent of something
  • fact: Something that is known or proved to be true
  • call: A order or request for action
  • notice: To become aware by sight, touch, or hearing
  • case: Container used to carry things, e.g. clothes
  • listing: Lean of a boat to one side
  • repeat: Action that is done again
  • top: To be higher or larger than a specific value
  • series: Set of stories or articles on a particular subject
  • sum: Amount when all is added together; total
  • summation: Concluding summary
  • professor: Teacher who teaches at a college or university
  • previous: Existing or happening before the present time
  • equal: Same in shape, size, or number
  • distance: Lack of friendliness toward another person
  • create: To make, cause, or bring into existence
  • decrease: To reduce the size, amount or number of something
  • accurate: With no mistake or error; Correct
  • divide: To split numbers by another number, e.g. 6 / 2 = 3
  • height: Distance of something from the bottom to the top
  • complicate: To make more difficult to do, understand or use
  • total: Whole number or amount of something
  • sleeve: Part of a garment covering the arm
  • rectangle: Four-sided geometrical shape with all right angles
  • calculate: To find an answer using mathematics
  • symbol: Image that means or represents something
  • accuracy: Being exactly right; correctness
  • determine: To control exactly how something will be or act
  • calculates: To find an answer using mathematics
  • mathematical: Concerning numbers and equations
  • measure: Plan to achieve a desired result
  • sequence: Part of a movie showing one part of the story
  • formula: A mathematical or scientific rule
  • ratio: The relationship in relative size, etc.
  • infinite: Being very large in amount
  • finite: Having limits; lasting for a limited time
  • infinitely: Continuing forever without end; very great
  • overflowing: (Liquid) to flow over the edge of something
  • fraction: Small part of something
  • infinity: State of being without end; endless time, space
  • converge: (E.g. of two roads) to come together
  • diverge: To move away from, in a different direction
  • notation: Set of written signs are used in music or math
  • harmonic: Relating to harmony in music
  • decimal: Number using one equal tenth of a whole as a basis
  • mathematic
  • nth: Last or greatest in an indefinitely large series
  • sine: Angle's ratio of side opposite hypotenuse
  • compact: Small case with face powder and a mirror
  • exponential: (Of an increase) at a faster and faster rate
  • cosine: Ratio of the adjacent side to the hypotenuse of a right-angled triangle
  • sigma: 18th letter of the Greek alphabet -
  • cube: Solid object that has six square sides
  • circumference: Length around an outer boundary, e.g. a circle
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  • not found vocabularyNo vocabulary matches your filters
    • accuracy

      US /ˈækjərəsi/

      UK /ˈækjərəsi/

      • Uncountable Noun
      • Being exactly right; correctness
      • The degree to which something is close to the true value.
      A2TOEIC
      More
    • accurate

      US /ˈækjərɪt/

      UK /ˈækjərət/

      • Adjective
      • With no mistake or error; Correct
      A2
      More
    • add up to

      US /æd ʌp tu/

      UK /æd ʌp tu:/

      • Phrasal Verb
      • To amount to a particular sum or total.
      • To have a particular result or effect; to be equal to.
      A2
      More
    • as long as

      US /æz lɔŋ æz/

      UK /æz lɔŋ æz/

      • Conjunction
      • For the period that; provided that.
      • For the length of time that
      • Preposition
      • On the condition that; providing that.
      • Having the same length as.
      A1
      More
    • as well as

      US /æz wɛl æz/

      UK /æz wel æz/

      • Adverb
      • Also; in addition to
      • Preposition
      • In addition to; and also.
      A1
      More
    • as you like

      US

      UK

      • Phrase
      • In any way that you want; according to your preference.
      • Interjection
      • An expression of agreement or permission.
      A1
      More
    • at least

      US /æt list/

      UK /æt li:st/

      • Adverb
      • As a minimum
      • Not less than
      • Phrase
      • No less than; at the minimum
      • Used to indicate that something is positive in a bad situation.
      C2
      More
    • calculate

      US /ˈkælkjəˌlet/

      UK /'kælkjʊleɪt/

      • Transitive Verb
      • To find an answer using mathematics
      • To make an educated guess about something
      B2
      More
    • calculates

      US

      UK

      • Transitive Verb
      • To find an answer using mathematics
      • To make an educated guess about something
      B2
      More
    • circumference

      US /sərˈkʌmfərəns/

      UK /səˈkʌmfərəns/

      • Noun
      • Length around an outer boundary, e.g. a circle
      C1
      More
    • come up with

      US /kʌm ʌp wɪð/

      UK /kʌm ʌp wið/

      • Phrasal Verb
      • To think of an idea or solution; produce
      A1
      More
    • compact

      US /kəmˈpækt/

      UK /'kɒmpækt/

      • Noun (Countable/Uncountable)
      • Small case with face powder and a mirror
      • A formal agreement or contract.
      • Adjective
      • Packed closely together
      B1
      More
    • complicate

      US /ˈkɑ:mplɪkeɪt/

      UK /ˈkɒmplɪkeɪt/

      • Transitive Verb
      • To make more difficult to do, understand or use
      B1
      More
    • converge

      US /kənˈvɚdʒ/

      UK /kən'vɜ:dʒ/

      • Intransitive Verb
      • (E.g. of two roads) to come together
      • If ideas, opinions, etc. converge, they gradually become similar.
      B2
      More
    • cooking with gas

      US /ˈkʊkɪŋ wɪθ ɡæs/

      UK /ˈkʊkɪŋ wɪð ɡæs/

      • other
      • Working efficiently and effectively, making good progress.
      B2
      More
    • cube

      US /kjub/

      UK /kju:b/

      • Noun
      • Solid object that has six square sides
      • Transitive Verb
      • To cut food into the shape of small cubes
      • To multiply a number by itself three times
      B2
      More
    • decimal

      US /ˈdɛsəməl/

      UK /'desɪml/

      • Noun
      • Number using one equal tenth of a whole as a basis
      B2
      More
    • decrease

      US /dɪˈkris/

      UK /dɪˈkri:s/

      • Verb (Transitive/Intransitive)
      • To reduce the size, amount or number of something
      • Uncountable Noun
      • Amount by which something has been reduced
      B1TOEIC
      More
    • degree

      US /dɪˈɡri/

      UK /dɪˈgri:/

      • Noun (Countable/Uncountable)
      • Amount or extent of something
      • Unit for measuring temperature or angles
      A2TOEIC
      More
    • determine

      US /dɪˈtɚmɪn/

      UK /dɪ'tɜ:mɪn/

      • Transitive Verb
      • To control exactly how something will be or act
      • To establish the facts about; discover
      A2TOEIC
      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
    • diverge

      US /daɪˈvɜ:rdʒ/

      UK /daɪˈvɜ:dʒ/

      • Intransitive Verb
      • To move away from, in a different direction
      • To think or feel differently about something
      B2
      More
    • divide

      US /dɪˈvaɪd/

      UK /dɪ'vaɪd/

      • Verb (Transitive/Intransitive)
      • To split numbers by another number, e.g. 6 / 2 = 3
      • To separate something into equal pieces
      • Noun
      • A separation or distinction.
      A2TOEIC
      More
    • exponential

      US /ˌɛkspəˈnɛnʃəl/

      UK /ˌekspəˈnenʃl/

      • Adjective
      • (Of an increase) at a faster and faster rate
      C1
      More
    • finite

      US /ˈfaɪˌnaɪt/

      UK /ˈfaɪnaɪt/

      • Adjective
      • Having limits; lasting for a limited time
      B1
      More
    • for example

      US

      UK

      • Phrase
      • As an illustration or instance.
      More
    • for instance

      US /fɔr ˈɪnstəns/

      UK /fɔ: ˈinstəns/

      • Adverb
      • As an example.
      • Phrase
      • As an example.
      • As an illustration or case in point
      B1
      More
    • formula

      US /ˈfɔrmjələ/

      UK /'fɔ:mjələ/

      • Noun (Countable/Uncountable)
      • A mathematical or scientific rule
      • Plan, rule or method for doing or making something
      A2TOEIC
      More
    • fraction

      US /ˈfrækʃən/

      UK /ˈfrækʃn/

      • Noun (Countable/Uncountable)
      • Small part of something
      • A numerical quantity that is not a whole number (e.g., 1/2, 0.5).
      B1TOEIC
      More
    • going on

      US /ˈɡoɪŋ ɑn/

      UK /ˈgəʊɪŋ ɔn/

      • Phrasal Verb
      • To continue doing something
      • To happen (usually negative)
      A1
      More
    • harmonic

      US /hɑrˈmɑnɪk/

      UK /hɑ:ˈmɒnɪk/

      • Adjective
      • Relating to harmony in music
      B2
      More
    • height

      US /haɪt/

      UK /haɪt/

      • Noun
      • Distance of something from the bottom to the top
      A2
      More
    • in fact

      US /ɪn fækt/

      UK /in fækt/

      • Adverb
      • Used to emphasize the truth of a statement, especially one that contrasts with or contradicts something else.
      • Used to introduce a more detailed or surprising piece of information.
      • Phrase
      • Used to emphasize the truth of a statement, especially one that is surprising or contrary to what might be expected.
      C1
      More
    • in other words

      US

      UK

      • Phrase
      • Stating something in a different way, often to make it clearer or more understandable.
      More
    • infinite

      US /ˈɪnfənɪt/

      UK /'ɪnfɪnət/

      • Adjective
      • Being very large in amount
      • Without an end; limitless; endless
      B2
      More
    • infinitely

      US /ˈɪnfənɪtlɪ/

      UK /ˈɪnfɪnətli/

      • Adverb
      • Continuing forever without end; very great
      B2
      More
    • infinity

      US /ɪnˈfɪnɪti/

      UK /ɪn'fɪnətɪ/

      • Uncountable Noun
      • State of being without end; endless time, space
      B2
      More
    • instead of

      US /ɪnˈstɛd ʌv/

      UK /inˈsted ɔv/

      • Preposition
      • When one thing is replaced by another
      • Adverb
      • As a substitute or alternative.
      A1
      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
    • mathematical

      US /ˌmæθəˈmætɪkəl/

      UK /ˌmæθə'mætɪkl/

      • Adjective
      • Concerning numbers and equations
      A2
      More
    • no matter

      US

      UK

      • Conjunction
      • Regardless of; it does not matter.
      • Adverb
      • Regardless of; it is not important
      A1
      More
    • notation

      US /noˈteʃən/

      UK /nəʊ'teɪʃn/

      • Noun
      • Set of written signs are used in music or math
      C2
      More
    • nth

      US /ɛnθ/

      UK /enθ/

      • Number
      • Last or greatest in an indefinitely large series
      • Adjective
      • Occurring at a high or unspecified number in a series.
      • Relating to the power to which a number or expression is raised.
      C2
      More
    • of course

      US /ʌv kɔː(r)s/

      UK /ɔv kɔː(r)s/

      • Adverb
      • Sure ; Certainly
      • Phrase
      • For sure; certainly
      A2
      More
    • of yours

      US /ʌv jʊɚz/

      UK /əv jɔ:z/

      • other
      • Belonging to you; your possession or property.
      A1
      More
    • overflowing

      US /oʊvə'floʊɪŋ/

      UK /əʊvə'fləʊɪŋ/

      • Intransitive Verb
      • (Liquid) to flow over the edge of something
      • Adjective
      • Present participle of overflow; exceeding capacity.
      B2
      More
    • previous

      US /ˈpriviəs/

      UK /ˈpri:viəs/

      • Adjective
      • Existing or happening before the present time
      • Existing or occurring immediately before in time or order.
      • Noun
      • A button or link that allows navigation to a preceding item or page.
      A2TOEIC
      More
    • professor

      US /prəˈfɛsɚ/

      UK /prəˈfesə(r)/

      • Noun (Countable/Uncountable)
      • Teacher who teaches at a college or university
      • A title given to a teacher of the highest academic rank in a college or university.
      A2
      More
    • ratio

      US /ˈreɪʃioʊ/

      UK /ˈreɪʃiəʊ/

      • Noun (Countable/Uncountable)
      • The relationship in relative size, etc.
      • The quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
      C2
      More
    • rectangle

      US /ˈrɛkˌtæŋɡəl/

      UK /ˈrektæŋgl/

      • Noun
      • Four-sided geometrical shape with all right angles
      B1TOEIC
      More
    • repeat

      US /rɪˈpit/

      UK /rɪˈpi:t/

      • Noun (Countable/Uncountable)
      • Action that is done again
      • Musical passage that is to be played again
      • Verb (Transitive/Intransitive)
      • To do something over again
      • To say something you have learned and memorized
      A2TOEIC
      More
    • sequence

      US /ˈsikwəns, -ˌkwɛns/

      UK /'si:kwəns/

      • Noun
      • Part of a movie showing one part of the story
      • A particular order in which related events, movements, or things follow each other.
      • Transitive Verb
      • To arrange things in an order they should happen
      A2TOEIC
      More
    • sigma

      US /'sɪɡmə/

      UK /ˈsɪgmə/

      • Noun
      • 18th letter of the Greek alphabet -
      C1
      More
    • sine

      US /saɪn/

      UK /saɪn/

      • Noun
      • Angle's ratio of side opposite hypotenuse
      C1
      More
    • sleeve

      US /sliv/

      UK /sli:v/

      • Noun
      • Part of a garment covering the arm
      A2
      More
    • square

      US /skwɛr/

      UK /skweə(r)/

      • Noun (Countable/Uncountable)
      • Shape with 4 equal length sides and 4 equal angles
      • The result of multiplying Length by the width
      • Adjective
      • Being fair or honest
      • Multiply a number by itself e.g. 2x2 or 6x6
      A2TOEIC
      More
    • such as

      US /sʌtʃ æz/

      UK /sʌtʃ æz/

      • Preposition
      • For example; like
      A1
      More
    • sum

      US /sʌm/

      UK /sʌm/

      • Noun
      • Amount when all is added together; total
      • Transitive Verb
      • To add two or more numbers together; total
      A2TOEIC
      More
    • sum up

      US

      UK

      • Phrase
      • Phrasal Verb
      • To state the main points of (something) in a concise way.
      A2
      More
    • summation

      US /səˈmeʃən/

      UK /sʌˈmeɪʃn/

      • Noun
      • Concluding summary
      C2
      More
    • symbol

      US /ˈsɪmbəl/

      UK /'sɪmbl/

      • Noun
      • Image that means or represents something
      • An image that represents a message of some kind
      A2
      More
    • take for example

      US

      UK

      • Phrase
      • To use as an instance or illustration.
      A1
      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
    • write down

      US /raɪt daʊn/

      UK /rait daun/

      • Phrasal Verb
      • To record in writing
      A1
      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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    B2
    #infinite#infinite number#term#infinity#sum#sequence

    Infinite Series

    0
    VoiceTube posted on 2013/01/18
    Ever wondered how tiny parts can add up to infinity? This video dives into the fascinating world of infinite series, explaining concepts like convergence and divergence with cool visual proofs and intuitive examples. You'll pick up some advanced vocabulary perfect for STEM students looking to master summation notation!

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