翻訳と辞書
Words near each other
・ Transverse fissure
・ Transverse flow effect
・ Transverse flute
・ Transverse folds of rectum
・ Transverse grand pyrg
・ Transverse humeral ligament
・ Transverse Island
・ Transverse isotropy
・ Transverse knot
・ Transverse leaf spring and solid axle front suspension of early Ford cars
・ Transverse lesion
・ Transverse ligament
・ Transverse ligament of atlas
・ Transverse ligament of knee
・ Transverse mass
Transverse measure
・ Transverse Mercator projection
・ Transverse mesocolon
・ Transverse metacarpal ligament
・ Transverse metatarsal ligament
・ Transverse mode
・ Transverse muscle of auricle
・ Transverse muscle of the chin
・ Transverse muscle of tongue
・ Transverse myelitis
・ Transverse nasal crease
・ Transverse occipital sulcus
・ Transverse orientation
・ Transverse perineal muscle
・ Transverse perineal muscles


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Transverse measure : ウィキペディア英語版
Transverse measure
In mathematics, a measure on a real vector space is said to be transverse to a given set if it assigns measure zero to every translate of that set, while assigning finite and positive (i.e. non-zero) measure to some compact set.
==Definition==

Let ''V'' be a real vector space together with a metric space structure with respect to which it is a complete space. A Borel measure ''μ'' is said to be transverse to a Borel-measurable subset ''S'' of ''V'' if
* there exists a compact subset ''K'' of ''V'' with 0 < ''μ''(''K'') < +∞; and
* ''μ''(''v'' + ''S'') = 0 for all ''v'' ∈ ''V'', where
::v + S = \
:is the translate of ''S'' by ''v''.
The first requirement ensures that, for example, the trivial measure is not considered to be a transverse measure.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Transverse measure」の詳細全文を読む



スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.