User:Multipotentialmike

This user is interested in
Mathematics.

This user studied at
The Queen's College, Oxford

This user lives in the United Kingdom.

en

This user is a native speaker of the English language.

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:

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: ${\frac {-log_{10}{\text{observed PR centrality}}}{-{\text{expected log10 PR centrality}}}}$

This gives the adjusted map:

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