Capacity of a set
In mathematics, the capacity of a set in Euclidean space is a measure of that set's "size". Unlike, say, Lebesgue measure, which measures a set's volume or physical extent, capacity is a mathematical analogue of a set's ability to hold electrical charge. More precisely, it is the capacitance of the set: the total charge a set can hold while maintaining a given potential energy. The potential energy is computed with respect to an idealized ground at infinity for the harmonic or Newtonian capacity, and with respect to a surface for the condenser capacity.
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Capacity of a set
In mathematics, the capacity of a set in Euclidean space is a measure of that set's "size". Unlike, say, Lebesgue measure, which measures a set's volume or physical extent, capacity is a mathematical analogue of a set's ability to hold electrical charge. More precisely, it is the capacitance of the set: the total charge a set can hold while maintaining a given potential energy. The potential energy is computed with respect to an idealized ground at infinity for the harmonic or Newtonian capacity, and with respect to a surface for the condenser capacity.
has abstract
Eine Kapazität (engl. capacity ...... ts mit Unschärfe zu tun haben.
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In mathematics, the capacity o ...... ce for the condenser capacity.
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La capacità di un insieme, in ...... r la capacità di condensatore.
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Гармоническая ёмкость — характ ...... держивать электрический заряд.
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在數學中,容度是位勢論裡描述一個集合大小的概念。
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first
E. D.
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id
c/c020280
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last
Solomentsev
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title
Capacity of a set
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wikiPageUsesTemplate
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hypernym
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Eine Kapazität (engl. capacity ...... ts mit Unschärfe zu tun haben.
@de
In mathematics, the capacity o ...... ce for the condenser capacity.
@en
La capacità di un insieme, in ...... na superficie che contiene l'i
@it
Гармоническая ёмкость — характ ...... держивать электрический заряд.
@ru
在數學中,容度是位勢論裡描述一個集合大小的概念。
@zh
label
Capacity of a set
@en
Capacità di un insieme
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Kapazität (Mathematik)
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Гармоническая ёмкость
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容度
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