This user is interested in
Mathematics.
This user studied at
The Queen's College, Oxford
This user lives in the United Kingdom.
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Active Wikipedian with interests in many places 🤓

Some rudimentary data science from the WikiRank project:

We can draw a map of UN member states and their log10 PageRank centrality:

Countries by log(10) WikiRank 2018 PageRank centrality
  <-4.5
  -4.3 to -4.5
  -4 to -4.3
  -3.7 to -4
  -3.3 to -3.7
  -2.836 to -3.3

Notice, though, that it appears to correlate with overall economic size. Plotting GDP (nominal) against -log10 PageRank centrality:

It makes sense, then, to adjust for the size of the country's economy using the logarithmic interpolation, using the formula:

This gives the adjusted map:

Countries by observed/expected ratio
  1.05-1.142
  1.025-1.05
  1 to 1.025
  -0.965 to 1
  0.93 to 0.965
  <0.93

The ten highest states are:

Rank Country Ratio
1 Iran 0.8324533513
2 Romania 0.9065791461
3 France 0.9080441941
4 Nepal 0.9102667925
5 Somalia 0.9139302456
6 Estonia 0.9162380653
7 Madagascar 0.9234474791
8 India 0.9282444325
9 New Zealand 0.9299828459
10 Sri Lanka 0.9314158037

We may also look at individual projects, using the data of the WP 1.0 bot and article quality/importance rankings. Here are three graphs from WikiProject Mathematics (captions are self-explanatory):

We can apply a similar technique to adjusting the PageRank vs quality data as we did to the countries' data, to produce a sort of 'neglect ratio', i.e. to identify those articles with much lower quality, as ranked 1 (Stub) to 8 (FA), than would be expected given their centrality. The 100 articles thus in most need of our attention are:

Rank Page Neglect ratio
1 Wolfram Demonstrations Project 0.2913891106
2 Distance sampling 0.299387338
3 Aggregate data 0.3122070818
4 Treatment and control groups 0.3164050903
5 Mass fraction (chemistry) 0.321451816
6 French Institute for Research in Computer Science and Automation 0.3233530378
7 Quotient 0.3258085358
8 Apex (geometry) 0.3260750144
9 System of equations 0.332761551
10 Plane curve 0.3360804225
11 Isogonal figure 0.3406622557
12 Antipodal point 0.3417667043
13 Discrete-time signal 0.3418631867
14 Boolean function 0.3419404119
15 Internal and external angles 0.3430993453
16 Value (mathematics) 0.3455789523
17 Isolated point 0.3458318485
18 Argument of a function 0.3479308895
19 Definite quadratic form 0.349416704
20 Convex combination 0.3498545656
21 Subtended angle 0.353164183
22 Octahedral symmetry 0.3535160063
23 Numerical method 0.3551515358
24 Facet (geometry) 0.3553664922
25 Concurrent lines 0.3561294023
26 Univariate 0.3561673719
27 Inverse relation 0.3567720471
28 Duality (order theory) 0.3568272388
29 Toroid 0.3571508482
30 Norman Johnson (mathematician) 0.3575911608
31 Improper rotation 0.3592060919
32 Distance geometry problem 0.3596381386
33 Trivial group 0.3622171878
34 Level (logarithmic quantity) 0.3633256772
35 Tangential and normal components 0.3637089717
36 Concave polygon 0.3639070737
37 Counting measure 0.3647551967
38 Steklov Institute of Mathematics 0.3671925806
39 Coaxial 0.3683836017
40 Hypersphere 0.3689503965
41 Trichotomy (mathematics) 0.3708244566
42 Equidistant 0.3723208689
43 Identification (information) 0.3735310431
44 Well-posed problem 0.3735411249
45 Vector area 0.3738510464
46 Minimum bounding box 0.3742236318
47 Base (geometry) 0.3745404793
48 Ordinal data 0.3754724195
49 Weighted geometric mean 0.3763724501
50 Convenience sampling 0.3808467605
51 Boolean domain 0.3814585952
52 Inverse second 0.3821266528
53 Atomic formula 0.3829816762
54 Edwin Bidwell Wilson 0.3834728485
55 Limiting case (mathematics) 0.3836763561
56 Notices of the American Mathematical Society 0.3839378917
57 Aperiodic frequency 0.3841144775
58 Lattice graph 0.3845139163
59 S-plane 0.3860846215
60 Isometry group 0.3864465443
61 Quadrant (plane geometry) 0.3881170572
62 Correlation coefficient 0.3887306553
63 Small stellated dodecahedron 0.3905847206
64 Line–line intersection 0.3907469854
65 Dihedral symmetry in three dimensions 0.3912156309
66 Observable variable 0.3928687634
67 Paul R. Halmos – Lester R. Ford Award 0.3929054105
68 D'Alembert operator 0.393044094
69 Lwów School of Mathematics 0.393214793
70 2D geometric model 0.3940432687
71 Rhombohedron 0.394113802
72 Dirichlet boundary condition 0.3941250256
73 Pencil (mathematics) 0.3955217165
74 Antilinear map 0.3967332817
75 Arborescence (graph theory) 0.3971610388
76 Rectification (geometry) 0.3972929674
77 Mathematische Annalen 0.3997041966
78 Spectrum (topology) 0.3999566721
79 Hyperinteger 0.400505626
80 Hexagonal prism 0.4014932237
81 A Mathematical Theory of Communication 0.4020414011
82 Containment order 0.4024890483
83 Mathematics Magazine 0.4033285604
84 Instituto Nacional de Matemática Pura e Aplicada 0.4040552681
85 Valuation (logic) 0.4041446047
86 Great icosahedron 0.4048894878
87 Octagram 0.4051112862
88 Tetrahedral-octahedral honeycomb 0.4053180652
89 Great dodecahedron 0.4055607061
90 Subsequence 0.4064471964
91 Cole Prize 0.4074883453
92 Projection (set theory) 0.4085296735
93 Self-adjoint 0.4085313963
94 Equipollence (geometry) 0.4086382359
95 Triple helix 0.4094153627
96 Inclusion (Boolean algebra) 0.4100357246
97 Link (knot theory) 0.4101138361
98 Rózsa Péter 0.4101398798
99 Term algebra 0.4102840485
100 0.411201803