scalar function वाक्य
उदाहरण वाक्य
मोबाइल
- While expansions of scalar functions are by far the most common application of multipole expansions, they may also be generalized to describe tensors of arbitrary rank.
- Where \ mathbf { n } denotes the ( typically exterior ) boundary \ partial \ Omega and " f " is a given scalar function.
- In axisymmetric flow another stream function formulation, called the Stokes stream function, can be used to describe the velocity components of an incompressible flow with one scalar function.
- If connection of interest is Levi-Civita connection one can find a convenient formula for Laplacian of scalar function in terms of partial derivatives with respect to chosen coordinates:
- Where \ phi is scalar function, | g | is absolute value of determinant of metric ( the use of absolute value is necessary in inverse of the metric tensor
- For a single element system of atoms, three scalar functions must be specified : the embedding function, a pair-wise interaction, and an electron cloud contribution function.
- For the sake of the simplicity, in dealing with Heaviside and Dirac delta functions in a two-dimensional coordinate space, consider a scalar function d, defined as:
- For scalar functions, the derivative in the Volterra system is the logarithmic derivative, and so the Volterra system is not a multiplicative calculus and is not a non-Newtonian calculus.
- Formally, a Hamiltonian system is a dynamical system completely described by the scalar function H ( \ boldsymbol { q }, \ boldsymbol { p }, t ), the Hamiltonian.
- Up to an overall sign, the Laplace de Rham operator is equivalent to the previous definition of the Laplace Beltrami operator when acting on a scalar function; see the proof for details.
- As I'm sure you know, there are several alternative approaches the field of analytical mechanics that don't use forces, but scalar functions and a variational principle.
- The gradient ( or gradient vector field ) of a scalar function is denoted or " f " } } where ( the nabla symbol ) denotes the vector differential operator, del.
- A magnetic field is a vector field, but if it is expressed in Cartesian components, each component is the derivative of the same scalar function called the " magnetic potential ".
- The Jacobian of the gradient of a scalar function of several variables has a special name : the Hessian matrix, which in a sense is the " second derivative " of the function in question.
- The output of the network is then a scalar function of the input vector, \ varphi : \ mathbb { R } ^ n \ to \ mathbb { R }, and is given by
- Because the electric field is irrotational, it is possible to express the electric field as the gradient of a scalar function, \ phi, called the electrostatic potential ( also known as the voltage ).
- In many situations, the electric field is a conservative field, which means that it can be expressed as the gradient of a scalar function, that is, & nabla; V } }.
- The gradient of a scalar function ? is the vector field grad " f " that may be defined through the inner product \ langle \ cdot, \ cdot \ rangle on the manifold, as
- Only in the simplest case ( coarse-graining, long-wavelength limit, cubic symmetry of the material ), these properties can be considered as ( complex-valued ) scalar functions of the frequency only.
- For example, the second order partial derivatives of a scalar function of " n " variables can be organized into an " n " by " n " matrix, the Hessian matrix.
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