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Eigenfunctions of a Hermitian operator

31,252 views

MIT OpenCourseWare

Video Language:

  • English

Caption Language:

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

Accent:

  • English (US)

Speech Time:

94%
  • 12:25 / 13:05

Speech Rate:

  • 100 wpm - Slow

Category:

  • Education

Tags :

Intro:

Video Vocabulary

written

/rīt/

adjective other verb

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

understand

/ˌəndərˈstand/

verb

To know the meaning of language, what someone says.

spectral

/ˈspektrəl/

adjective

of or like ghost.

whatever

/(h)wətˈevər/

adjective adverb determiner exclamation pronoun

Referring to any particular kind, type, quantity. at all. Anything or everything needed; no matter what. said as response indicating reluctance to discuss something, often implying indifference. used to emphasize lack of restriction.

eigenvalues

/ˈīɡənˌvalyo͞o/

noun other

each of set of values of parameter for which differential equation has non-zero solution eigenfunction under given conditions. Any number such that a given square matrix minus that number times the identity matrix has a zero determinant.

especially

/iˈspeSHəlē/

adverb

used to single out one person or thing over all others.

eigenfunctions

/ˈīɡənˌfəNG(k)SHən/

noun

each of set of independent functions which are solutions to given differential equation.

important

/imˈpôrtnt/

adjective

of great significance or value.

eigenvectors

/ˈīɡənˌvektər/

noun

vector which when operated on by given operator gives scalar multiple of itself.

impress
noun verb

act of making impression. To make an emotional impact upon.

dimensional

/dəˈmen(t)SH(ə)nəl/

adjective

Concerning how many planes an object exists in.

discussed

/dəˈskəs/

verb

To talk about seriously or in great detail.

thinking

/ˈTHiNGkiNG/

adjective noun verb

using thought or rational judgement. process of considering or reasoning about something. To have an idea, opinion or belief about something.

provide

/prəˈvīd/

verb

supply.

because

/bēˈkəz/

conjunction

for reason that.

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