Last Updated :2025/11/26

complex measure

Noun
Japanese Meaning
σ-代数を定義域とし、複素数全体を値域とした、可算加法性を持つ関数(すなわち、複素数値測度)
What is this buttons?

有界可測関数を複素測度に関して積分するには、その測度を実部と虚部に対応する二つの有限符号付測度の組として扱います。

plural

Quizzes for review

(mathematical analysis) A function whose domain is a σ-algebra, whose codomain is the set of complex numbers, and which is countably additive.

音声機能が動作しない場合はこちらをご確認ください
See correct answer

complex measure

To integrate a bounded measurable function with respect to a complex measure, we treat the measure as a pair of finite signed measures corresponding to its real and imaginary parts.

See correct answer

To integrate a bounded measurable function with respect to a complex measure, we treat the measure as a pair of finite signed measures corresponding to its real and imaginary parts.

音声機能が動作しない場合はこちらをご確認ください

English - English

Word Edit Setting
  • Users who have edit permission for words - All Users
  • Screen new word creation
  • Screen word edits
  • Screen word deletion
  • Screen the creation of new headword that may be duplicates
  • Screen changing entry name
  • Users authorized to vote on judging - Editor
  • Number of votes required for decision - 1
Sentence Edit Setting
  • Users who have edit permission for sentences - All Users
  • Screen sentence deletion
  • Users authorized to vote on judging - Editor
  • Number of votes required for decision - 1
Quiz Edit Setting
  • Users who have edit permission for quizzes - All Users
  • Users authorized to vote on judging - Editor
  • Number of votes required for decision - 1
Editing Guideline

Login / Sign up

 

Download the app!
DiQt

DiQt

Free

★★★★★★★★★★