# Översätt Stokes från engelska till finska - Redfox Lexikon

Forum Mikael BengtssonMikael Bengtsson

Stokes' Theorem. be familiar with the central theorems of the theory, know how to use these differential forms, Stokes' theorem, Poincaré's lemma, de Rham cohomology, the  an introduction to three famous theorems of vector calculus, Green's theorem, Stokes' theorem and the divergence theorem (also known as Gauss's theorem). Irish physicist and mathematician George Gabriel Stokes , 1857. He developed Stokes' Theorem of vector calculus.

straightforward adj. okonstlad  THIS APPLICATION FOR MECHANICS IS ONE OF THE BEST LEARNING TOOL FOR STUDENTS AND TEACHERS OF PHYSICS TO LEARN THE IMPORTANT  e The total work done by the surface forces is (ui τij ). Which part of c The circulation can easily be computed using Stokes' theorem: I Z the most elegant Theorems in Spherical Geometry and. Trigonometry. of the work I have received invaluable assistance from.

## Matematik - Differentialekvationer

Consider the surface S described by the parabaloid z=16-x^2-y^2 for z>=0, as shown in the figure below. Let n denote the unit normal vector to S with positive z component.

### Vector Analysis Versus Vector Calculus av Antonio Galbis To gure out how Cshould be oriented, we rst need to understand the orientation of S. 2018-06-04 · Use Stokes’ Theorem to evaluate ∬ S curl →F ⋅ d→S ∬ S curl F → ⋅ d S → where →F =y→i −x→j +yx3→k F → = y i → − x j → + y x 3 k → and S S is the portion of the sphere of radius 4 with z ≥ 0 z ≥ 0 and the upwards orientation. Answer to: When to use the stokes theorem and the divergence theorem? F · dr, där. ~. F = (b) Use the Stokes theorem to compute the line integral HC. ~. On the path integral representation for wilson loops and the non-abelian stokes theorem ii The main revision concerns theexpansion into group characters that  Käytämme evästeitä ja muita seurantateknologioita parantaaksemme käyttäjäkokemusta verkkosivustollamme, näyttääksemme sinulle personoituja sisältöjä ja  c The circulation can easily be computed using Stokes' theorem: Γ = ∮ u · dl = ∫A ω · ndA. Γ=2B πr2 = 2πB. 3. Applying integral forms to a finite region (tank car):.
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A theorem proposing that the surface integral of the curl of a function over any surface bounded by a closed path is equal to the line integral of a particular vector function round that path.

Assume that Sis oriented upwards.
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### Satsen: English translation, definition, meaning, synonyms

Stokes’ theorem relates a vector surface integral over surface S in space to a line integral around the boundary of S. Therefore, just as the theorems before it, Stokes’ theorem can be used to reduce an integral over a geometric object S to an integral over the boundary of S. Use Stokes’ Theorem to evaluate ∬ S curl →F ⋅ d→S ∬ S curl F → ⋅ d S → where →F =(z2 −1) →i +(z+xy3) →j +6→k F → = (z 2 − 1) i → + (z + x y 3) j → + 6 k → and S S is the portion of x =6 −4y2 −4z2 x = 6 − 4 y 2 − 4 z 2 in front of x = −2 x = − 2 with orientation in the negative x x -axis direction. Use Stokes’ Theorem to evaluate when and C is the triangle defined by (1, 0, 0), (0, 1, 0) and (0, 0, 2) Verify that Stokes’ theorem for the vector field and surface S, where S is the parabola z = 4 – x2 – y2. Compute, where C is the unit circle x 2 + y 2 = 1 oriented counter-clockwise.

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### Reynolds transportteorem – Wikipedia

This works for some surf This veriﬁes Stokes’ Theorem. C Stokes’ Theorem in space. Remark: Stokes’ Theorem implies that for any smooth ﬁeld F and any two surfaces S 1, S 2 having the same boundary curve C holds, ZZ S1 (∇× F) · n 1 dσ 1 = ZZ S2 (∇× F) · n 2 dσ 2.