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  2. Negative relationship - Wikipedia

    en.wikipedia.org/wiki/Negative_relationship

    Negative correlation can be seen geometrically when two normalized random vectors are viewed as points on a sphere, and the correlation between them is the cosine of the circular arc of separation of the points on a great circle of the sphere. [1] When this arc is more than a quarter-circle (θ > π/2), then the cosine is negative.

  3. File:Sphere function in 3D.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Sphere_function_in_3D.pdf

    Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.

  4. Spherical harmonics - Wikipedia

    en.wikipedia.org/wiki/Spherical_harmonics

    An exception are the spin representation of SO(3): strictly speaking these are representations of the double cover SU(2) of SO(3). In turn, SU(2) is identified with the group of unit quaternions, and so coincides with the 3-sphere. The spaces of spherical harmonics on the 3-sphere are certain spin representations of SO(3), with respect to the ...

  5. Correlation (projective geometry) - Wikipedia

    en.wikipedia.org/wiki/Correlation_(projective...

    [1] Given a line m and P a point not on m, an elementary correlation is obtained as follows: for every Q on m form the line PQ. The inverse correlation starts with the pencil on P: for any line q in this pencil take the point m ∩ q. The composition of two correlations that share the same pencil is a perspectivity.

  6. Correlation diagram - Wikipedia

    en.wikipedia.org/wiki/Correlation_diagram

    Terms such as correlation diagram(s), diagram(s) of correlation, and the like may refer to: Data visualization, the general process of presenting information visually; Statistical graphics, images depicting statistical information; In chemistry, there are several types of correlation diagrams:

  7. Péclet number - Wikipedia

    en.wikipedia.org/wiki/Péclet_number

    [1] A flow will often have different Péclet numbers for heat and mass. This can lead to the phenomenon of double diffusive convection. In the context of particulate motion the Péclet number has also been called Brenner number, with symbol Br, in honour of Howard Brenner. [2]

  8. Sphere packing - Wikipedia

    en.wikipedia.org/wiki/Sphere_packing

    Sphere packing finds practical application in the stacking of cannonballs. In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space. The spheres considered are usually all of identical size, and the space is usually three-dimensional Euclidean space.

  9. File:Hard sphere deflection.pdf - Wikipedia

    en.wikipedia.org/.../File:Hard_sphere_deflection.pdf

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