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Homomorphisms (Abstract Algebra)

278,684 views

Socratica

Video Language:

  • English

Caption Language:

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

Accent:

  • English (US)

Speech Time:

93%
  • 3:54 / 4:11

Speech Rate:

  • 165 wpm - Fast

Category:

  • Education

Tags :

Intro:

Video Vocabulary

definition

/ˌdefəˈniSH(ə)n/

noun

statement of word's meaning.

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.

diamond

/ˈdī(ə)mənd/

noun

Very hard colorless stone used in jewelry.

captures

/ˈkapCHər/

noun verb

action of capturing. To take control of a place or object by force.

operation

/ˌäpəˈrāSH(ə)n/

noun

Functioning; use.

example

/iɡˈzampəl/

noun verb

Thing, person which represents a category. be illustrated or exemplified.

preserves

/prəˈzərv/

noun other verb

jam or marmalade. Sweet fruit spreads; jams. To cook food so it can be kept for long periods.

complex
adjective noun verb

consisting of many different connected parts. group of buildings or facilities. cause to form complex.

function

/ˈfəNG(k)SH(ə)n/

noun verb

What something is intended to be used for; purpose. To serve a certain purpose or role.

between

/bəˈtwēn/

adverb preposition

in space separating things. In the space that separates two objects.

homomorphism

/ˌhōməˈmôrfizəm/

noun

transformation of one set into another that preserves in second set relations between elements of first.

abelian

/əˈbēlyən/

adjective

(of group) having members related by commutative operation.

structure

/ˈstrək(t)SHər/

noun verb

The way in which the parts of a system or object are arranged or organized, or a system arranged in this way. construct or arrange according to plan.

absolute

/ˈabsəˌlo͞ot/

adjective noun

total. value or principle.

another

/əˈnəT͟Hər/

adjective determiner pronoun

One more, but not this. One more added. One more (thing).

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