line integral वाक्य
उदाहरण वाक्य
मोबाइल
- In mathematics, a "'line integral "'is an integral where the differential vector in the curve ).
- Where is a line integral along the positively oriented if and only if forms a positively oriented basis for ( right-hand rule ).
- In contrast to the one-dimensional line integrals encountered in elementary physics, the contour of constant energy possesses a vast number of dimensions.
- If the parametrization \ gamma is continuously differentiable, the line integral can be evaluated as an integral of a function of a real variable:
- When a vector field represents force, the line integral of a vector field represents the curl ( which represents the rotation of a flow ).
- Holding that point fixed, the line integral over the path of the electric currents is calculated to find the total magnetic field at that point.
- Therefore generally the total attenuation p of a ray at position, on the projection at angle \ theta, is given by the line integral:
- Where the definition of the line integral is used in the first equality, and the fundamental theorem of calculus is used in the third equality.
- But I ran into problems when trying to derive it more generally by taking the line integral ( over the particle's path C ):
- The law is a physical example of a line integral, being evaluated over the path " C " in which the electric currents flow.
- The integral form of the original circuital law is a line integral of the magnetic field around some closed curve ( arbitrary but must be closed ).
- Thus the normals allow the calculation of the relative surface heights of the line on the object using a line integral, if we assume a continuous surface.
- Because inertial motion in curved spacetimes lacks the simple expression it has in SR, the line integral form of the proper time equation must always be used.
- Since, from Maxwell's equations, curl H = J, the closed line integral of H�dl evaluates to the total current passing through the surface.
- Line integrals of vector fields are independent of the parametrization "'r "'in absolute value, but they do depend on its orientation.
- For the closed curve enclosing origin, circulation ( line integral of velocity field ) \ Gamma = K and for any other closed curves, \ Gamma = 0
- The sign of the line integral is based on the right-hand rule for the choice of direction of line element d "'s " '.
- I'm trying to derive this formula by using a line integral, but I'm getting a different result, so I must be doing something wrong.
- For a particular angle one must solve the line integral for the ray with origin at the intersection point of the line P 0 P 1 with the circular object plane.
- A " line integral " ( sometimes called a " path integral " ) is an integral where the function to be integrated is evaluated along a curve.
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