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measured mile
A length of one nautical mile, the limits of which have been accurately measured and are indicated by ranges ashore. It is used by ships to calibrate logs, revolution counters, etc. as well as to measure the ship's speed.
沿岸における目印(レンジ)によって示される、正確に測定された1海里の長さ。船舶でログや回転計の校正、及び船速の測定に使用される。
complex measure
(mathematical analysis) A function whose domain is a σ-algebra, whose codomain is the set of complex numbers, and which is countably additive.
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)
counting measure
(mathematical analysis) A positive measure which, for each subset of a given measure space, assigns a value equal to the number of points in that subset.
計数測度(数学解析):与えられた測度空間の各部分集合に対し、その部分集合に含まれる点の数を対応させる正の測度。
complete measure
(mathematical analysis) A measure such that, for every set of measure zero belonging to its domain, all subsets of that set are also assigned measure zero by the given measure.
与えられた測度において、任意の測度ゼロの集合のすべての部分集合にも測度ゼロが割り当てられる性質を持つ測度。
Borel measure
(mathematical analysis) A measure whose domain is the Borel σ-algebra of a locally compact Hausdorff space.
局所コンパクトハウスドルフ空間のBorel σ-代数上で定義された測度。
probability measure
(mathematics) A mathematical measure on a probability space that can take on values between 0 and 1, with 0 corresponding to the empty set and 1 to the entire space.
確率空間上の数学的測度。値が0(空集合に対応)から1(全体集合に対応)までの範囲を取る。
in no small measure
measure off
To measure something (such as wood, fabric etc), prior to marking or cutting it
(木材や布などを)切断やマーキングする前に寸法を測ること
( present singular third-person )
( participle present )
( participle past )
( past )
measure out
to measure an amount or quantity or size that is needed or wanted, to mark the dimensions of something.
必要な量や大きさを測って決める / 必要な分量を計量する / 寸法を測り、印を付ける
( present singular third-person )
( participle present )
( participle past )
( past )
Radon measures
plural of Radon measure
「Radon measure」(ラドン測度)の複数形です。つまり、複数のラドン測度を指す場合に使われる形です。