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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. Symbols such as 1, 2, 56, 793. To claim to be part of a larger group, series, set.

strings

/striNG/

noun other verb

material consisting of threads of cotton, hemp. Lines of connected objects. To tie or connect things together with a thread.

expansion

/ikˈspanSHən/

noun

Making or becoming larger.

argument

/ˈärɡyəmənt/

noun

A presentation of reasons for or against an idea.

written

/rīt/

adjective other verb

Expressed using writing. To invent or create a computer program. mark symbols on surface with pen.

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

To do something without stopping, or after pausing.

talking

/ˈtôkiNG/

adjective noun verb

engaging in speech. action of talking. To make a formal speech about something.

through

/THro͞o/

adjective adverb preposition

From one end or side of something to the other. expressing movement into one side and out of other side of opening etc.. moving in one side and out of other side of.

instead

/inˈsted/

adverb

as alternative or substitute.

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