Stokes' theorem

Summary

Stokes' theorem is a theorem^[1]. It ranks in the top 2% of theorem entities by monthly Wikipedia readership (681 views/month).^[2]

Key Facts

• Stokes' theorem's instance of is recorded as theorem^[3].
• Sir George Stokes, 1st Baronet is named after Stokes' theorem^[4].
• Stokes' theorem's depicts is recorded as differential form^[5].
• Stokes' theorem's GND ID is recorded as 4759656-9^[6].
• Stokes' theorem's part of is recorded as list of theorems^[7].
• Stokes' theorem's Commons category is recorded as Stokes' theorem^[8].
• Stokes' theorem's Freebase ID is recorded as /m/07611^[9].
• Stokes' theorem's Freebase ID is recorded as /m/0kvk442^[10].
• Stokes' theorem's different from is recorded as generalized Stokes' theorem^[11].
• Stokes' theorem's different from is recorded as Kelvin's circulation theorem^[12].
• Stokes' theorem's defining formula is recorded as \iint_S (\nabla \times \boldsymbol{F}) \cdot \mathrm{d}\boldsymbol{\sigma} = \int_{\partial S} \boldsymbol{F} \cdot \mathrm{d}\boldsymbol{\sigma}^[13].
• Stokes' theorem's studied by is recorded as calculus^[14].
• Stokes' theorem's studied by is recorded as vector calculus^[15].
• Stokes' theorem's MathWorld ID is recorded as StokesTheorem^[16].
• Stokes' theorem's MathWorld ID is recorded as CurlTheorem^[17].
• Stokes' theorem's nLab ID is recorded as Stokes theorem^[18].
• Stokes' theorem's maintained by WikiProject is recorded as WikiProject Mathematics^[19].
• Stokes' theorem's Microsoft Academic ID is recorded as 2778537239^[20].
• Stokes' theorem's Microsoft Academic ID is recorded as 198470675^[21].
• Stokes' theorem's Brilliant Wiki ID is recorded as stokes-theorem^[22].
• Stokes' theorem's in defining formula is recorded as \boldsymbol{F}^[23].
• Stokes' theorem's in defining formula is recorded as \iint_S \boldsymbol{F} \cdot \mathrm{d}\boldsymbol{\sigma}^[24].
• Stokes' theorem's in defining formula is recorded as S^[25].
• Stokes' theorem's in defining formula is recorded as \int_{\boldsymbol{c}} \boldsymbol{F} \cdot \mathrm{d}\boldsymbol{s}^[26].
• Stokes' theorem's in defining formula is recorded as \partial S^[27].

Body

Works and Contributions

Things named for Stokes' theorem include generalized it^[28], a theorem^[29].

Why It Matters

Stokes' theorem ranks in the top 2% of theorem entities by monthly Wikipedia readership (681 views/month).^[2] It has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.^[30] It is known by 38 alternative names across languages and contexts.^[31]

Entities named for it include generalized it^[28], a theorem^[29].