cylindrical coordinate वाक्य
उदाहरण वाक्य
मोबाइल
- Due to the circular geometry of \ Omega, it will be convenient to use cylindrical coordinates, ( r, \ theta, z ).
- *PM : Laplace equation in cylindrical coordinates, id = 8555 new !-- WP guess : Laplace equation in cylindrical coordinates-- Status:
- *PM : Laplace equation in cylindrical coordinates, id = 8555 new !-- WP guess : Laplace equation in cylindrical coordinates-- Status:
- It is particularly helpful to write the displacement in cylindrical coordinates for a point force F _ z \, \ ! directed along the z-axis.
- This lies on the surface of the torus given by ( r-2 ) ^ 2 + z ^ 2 = 1 ( in cylindrical coordinates ).
- The three-dimensional wave equation, when expressed in elliptic cylindrical coordinates, may be solved by separation of variables, leading to the Mathieu differential equations.
- Since all of the surfaces of constant ?, ? and " z " are conicoid, Laplace's equation is separable in cylindrical coordinates.
- There are then Cartesian ( X, Y, Z ), spherical coordinates, and cylindrical coordinates that can be used, based on those 3 reference points.
- Other popular methods of describing the location of a point in three-dimensional space include cylindrical coordinates and spherical coordinates, though there are an infinite number of possible methods.
- Where the A _ n ( k ) are constants with respect to the cylindrical coordinates and the limits of the summation and integration are determined by the boundary conditions of the problem.
- In a conservative model ( that is, without dissipations and acoustic irradiations and therefore in vacuum ), the oscillation modes of a membrane of radius a have the form in cylindrical coordinates
- :Similarly, spherical coordinates and cylindrical coordinates are alternative ways to describe the position of objects in 3D, and tend to be more convenient when dealing with spheres or cylinders, respectively.
- The journal sent their manuscript to be reviewed by Howard P . Robertson, who ( anonymously ) reported that the singularities in question were simply the harmless coordinate singularities of the employed cylindrical coordinates.
- In this cylindrical coordinate system, the incompressible flow can be described with a Stokes stream function " ? ", depending on " r " and " z ":
- The mathematical function which describes a Bessel beam is a solution of Bessel's differential equation, which itself arises from separable solutions to Laplace's equation and the Helmholtz equation in cylindrical coordinates.
- For instance, the coordinates for an hyperbolically accelerated reference frame are sometimes called Rindler coordinates, or those of a uniformly rotating reference frame are called rotating cylindrical coordinates ( or sometimes Born coordinates ).
- They are sometimes called " cylindrical polar coordinates " and " polar cylindrical coordinates ", and are sometimes used to specify the position of stars in a galaxy ( " galactocentric cylindrical polar coordinates " ).
- For the case of a sphere in a uniform far field flow, it is advantageous to use a cylindrical coordinate system ( " r ", ?, " z " ).
- The classic applications of parabolic cylindrical coordinates are in solving partial differential equations, e . g ., Laplace's equation or the Helmholtz equation, for which such coordinates allow a separation of variables.
- An elegant action-angle variables solution for the Kepler problem can be obtained by eliminating the redundant four-dimensional coordinates \ boldsymbol \ eta in favor of elliptic cylindrical coordinates ( ?, ?, ?)
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