Conservative vector field
In vector calculus, a conservative vector field is a vector field that is the gradient of some function. Conservative vector fields have the property that the line integral is path independent; the choice of any path between two points does not change the value of the line integral. Path independence of the line integral is equivalent to the vector field being conservative. A conservative vector field is also irrotational; in three dimensions, this means that it has vanishing curl. An irrotational vector field is necessarily conservative provided that the domain is simply connected.
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Conservative vector field
In vector calculus, a conservative vector field is a vector field that is the gradient of some function. Conservative vector fields have the property that the line integral is path independent; the choice of any path between two points does not change the value of the line integral. Path independence of the line integral is equivalent to the vector field being conservative. A conservative vector field is also irrotational; in three dimensions, this means that it has vanishing curl. An irrotational vector field is necessarily conservative provided that the domain is simply connected.
has abstract
Een conservatief vectorveld, o ...... dezelfde waarde zal opleveren.
@nl
Em cálculo de várias variáveis ...... pendente do caminho utilizado.
@pt
Ett konservativt fält, virvelf ...... vativa kallas för dissipativa.
@sv
In vector calculus, a conserva ...... dent of the actual path taken.
@en
Nel calcolo vettoriale, un cam ...... on è sempre vero il viceversa.
@it
Un champ vectoriel est dit con ...... toute courbe fermée est nulle.
@fr
Потенциальное (или безвихревое ...... з (обобщённой) теоремы Стокса.
@ru
Потенціальне ве́кторне по́ле, ...... і є рівність нулю ротора поля:
@uk
如果一个向量场是某个标量势的梯度，那么便称为保守向量场（英語 ...... 守向量场的旋度都是零（因此是无旋的），也具有路径无关的性质。
@zh
보존벡터장(保存vector場)은 스칼라장의 그래디언트로 ...... 력은 보존력이고 보존력은 보존벡터장을 이루기 때문이다.
@ko
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Een conservatief vectorveld, o ...... dezelfde waarde zal opleveren.
@nl
Em cálculo de várias variáveis ...... descrição de sistemas físicos.
@pt
Ett konservativt fält, virvelf ...... unkt b enkelt beräknas enligt:
@sv
In vector calculus, a conserva ...... he domain is simply connected.
@en
Nel calcolo vettoriale, un cam ...... on è sempre vero il viceversa.
@it
Un champ vectoriel est dit con ...... toute courbe fermée est nulle.
@fr
Потенциальное (или безвихревое ...... же формула записывается как ,
@ru
Потенціальне ве́кторне по́ле, ...... і є рівність нулю ротора поля:
@uk
如果一个向量场是某个标量势的梯度，那么便称为保守向量场（英語 ...... 守向量场的旋度都是零（因此是无旋的），也具有路径无关的性质。
@zh
보존벡터장(保存vector場)은 스칼라장의 그래디언트로 ...... 력은 보존력이고 보존력은 보존벡터장을 이루기 때문이다.
@ko
label
Campo conservativo
@pt
Campo vettoriale conservativo
@it
Champ conservatif
@fr
Conservatief vectorveld
@nl
Conservative vector field
@en
Gradientenfeld
@de
Konservativt fält
@sv
Потенциальное векторное поле
@ru
Потенціальне векторне поле
@uk
保守向量场
@zh