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Minkowski Tensors in Two Dimensions: Probing the Morphology and Isotropy of the Matter and Galaxy Density Fields

  • Authors: Stephen Appleby, Pravabati Chingangbam, Changbom Park, Sungwook E. Hong, Juhan Kim, and Vidhya Ganesan

2018 The Astrophysical Journal 858 87.

  • Provider: AAS Journals

Caption: Figure 3.

We exhibit two squares, (i, j) and ﹩(i,j+1)﹩, which represent cases Nc = 2 and Nc = 6 in Figure 1. By interpolation, we generate the black arrows, which are the vectors ﹩{\boldsymbol{e}}﹩ij and ﹩{\boldsymbol{e}}﹩ij+1. The brown arrows denote the unit normals to ﹩{\boldsymbol{e}}﹩ij and ﹩{\boldsymbol{e}}﹩ij + 1; the angle between them is ﹩{\beta }_{i}﹩. We note that βi is directed following the anticlockwise conventions of our method.

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