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S01.9 Proof That a Set of Real Numbers is Uncountable

88,969 views

MIT OpenCourseWare

Video Language:

  • English

Caption Language:

  • {{captionLanguage | language_name}} ({{captionLanguage}})

Accent:

  • English (US)

Speech Time:

96%
  • 3:53 / 4:02

Speech Rate:

  • 133 wpm - Conversational

Category:

  • Education

Tags :

Intro:

Video Vocabulary

numbers

/ˈnəmbər/

noun other verb

arithmetical value expressed by word, symbol, or figure. Particular songs or dances performed during shows. make as total.

strings

/striNG/

noun other verb

material consisting of threads of cotton, hemp. Musical instruments like violins or cellos. hang something so that it stretches in long line.

expansion

/ikˈspanSHən/

noun

Making or becoming larger.

argument

/ˈärɡyəmənt/

noun

Discussion in which you disagree with someone.

written

/rīt/

adjective other verb

Expressed using writing. To invent or create a computer program. To create a song or piece of music.

uncountable

/ˌənˈkoun(t)əb(ə)l/

adjective

(Of nouns) that cannot exist in the plural.

decimal

/ˈdes(ə)məl/

adjective noun

based on number ten. fraction.

establishes

/əˈstabliSH/

verb

set up.

somewhat

/ˈsəmˌ(h)wät/

adverb

to moderate extent or by moderate amount.

diagonalization
noun

Changing a square matrix to diagonal form (with all non-zero elements on the principal diagonal).

looking

/ˈlo͝okiNG/

adjective verb

having specified appearance. To appear to be when you look at them; seem.

continues

/kənˈtinyo͞o/

verb

persist in activity.

talking

/ˈtôkiNG/

adjective noun verb

engaging in speech. action of talking. To say things or ideas to someone with words.

through

/THro͞o/

adjective adverb preposition

continuing or valid to final destination. From the beginning of something until the end. Over, in, across an entire thing or place.

instead

/inˈsted/

adverb

When one thing is replaced by another.

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