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  2. Meshfree methods - Wikipedia

    en.wikipedia.org/wiki/Meshfree_methods

    In the field of numerical analysis, meshfree methods are those that do not require connection between nodes of the simulation domain, i.e. a mesh, but are rather based on interaction of each node with all its neighbors. As a consequence, original extensive properties such as mass or kinetic energy are no longer assigned to mesh elements but ...

  3. Radial basis function interpolation - Wikipedia

    en.wikipedia.org/wiki/Radial_basis_function...

    The interpolant takes the form of a weighted sum of radial basis functions. [1] [2] RBF interpolation is a mesh-free method, meaning the nodes (points in the domain) need not lie on a structured grid, and does not require the formation of a mesh. It is often spectrally accurate [3] and stable for large numbers of nodes even in high dimensions.

  4. Slater-type orbital - Wikipedia

    en.wikipedia.org/wiki/Slater-type_orbital

    STOs have the following radial part: =where n is a natural number that plays the role of principal quantum number, n = 1,2,...,; N is a normalizing constant,; r is the distance of the electron from the atomic nucleus, and

  5. Node (physics) - Wikipedia

    en.wikipedia.org/wiki/Node_(physics)

    Atomic orbitals are classified according to the number of radial and angular nodes. A radial node for the hydrogen atom is a sphere that occurs where the wavefunction for an atomic orbital is equal to zero, while the angular node is a flat plane. [4] Molecular orbitals are classified according to bonding character. Molecular orbitals with an ...

  6. Atomic orbital - Wikipedia

    en.wikipedia.org/wiki/Atomic_orbital

    The Slater-type orbital (STO) is a form without radial nodes but decays from the nucleus as does a hydrogen-like orbital. The form of the Gaussian type orbital (Gaussians) has no radial nodes and decays as e − α r 2 {\displaystyle e^{-\alpha r^{2}}} .

  7. Radial basis function kernel - Wikipedia

    en.wikipedia.org/wiki/Radial_basis_function_kernel

    In machine learning, the radial basis function kernel, or RBF kernel, is a popular kernel function used in various kernelized learning algorithms. In particular, it is commonly used in support vector machine classification .

  8. Estimation of signal parameters via rotational invariance ...

    en.wikipedia.org/wiki/Estimation_of_signal...

    The one-dimensional form of ESPRIT can be applied if the weights have the form , = (), whose phases are integer multiples of some radial frequency. This frequency only depends on the index of the system's input, i.e. k {\textstyle k} .

  9. Graph partition - Wikipedia

    en.wikipedia.org/wiki/Graph_partition

    Consider a graph G = (V, E), where V denotes the set of n vertices and E the set of edges. For a (k,v) balanced partition problem, the objective is to partition G into k components of at most size v · (n/k), while minimizing the capacity of the edges between separate components. [1]