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InequalityIsoperimetric inequalityStar-shaped setsMinkowski sumStar shapes

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Calculus of variations

Analyzing Network Connections...

Network Profile

Overall Strength
i
12.68% of network
(28.2K)
Strength Breakdown
  • This Post (12.68%)
  • Isoperimetric inequality (5.63%)
  • Star-shaped sets (5.63%)
  • Star shapes (5.63%)
  • Minkowski sum (1.41%)
Dominant nodes (excluded from chart)
Inequality 69.01%
Influence Score
i
16.67% of network
(1)
Influence Breakdown
  • This Post (16.67%)
  • Inequality (16.67%)
  • Isoperimetric inequality (16.67%)
  • Minkowski sum (16.67%)
  • Star-shaped sets (16.67%)
  • Star shapes (16.67%)
Direct Connections 6

Node & Network Details

How is this calculated?

The math continuously tracks how strongly this post is connected to the rest of the network. Every tag forms a 2-way link. The base stats determine personal node strength, and the pie charts below show this node's share against its direct neighbours.

// 1. Base variables (floored at 1 to prevent zero-multiplication math errors)
$inbound = max(1, 3) = 3
$outbound = max(1, 3) = 3

// 2. Node Base Values (Local connection strength)
Base_Strength (PV) = $inbound * $outbound = 3 * 3 = 9
Base_Influence (IV) = $inbound / $outbound = 3 / 3 = 1

// 3. Exponential Network Values (accumulating 5 direct neighbours)
Network_Strength (CV) = Base_PV * (Neighbour_1_PV * Neighbour_2_PV * ...)
                         = 9 *
                           ( 49 [Inequality] *
                            4 [Isoperimetric inequality] *
                            1 [Minkowski sum] *
                            4 [Star-shaped sets] *
                            4 [Star shapes]
                           )

                         = 28.2K

Network_Influence (TV) = Base_IV * (Neighbour_1_IV * Neighbour_2_IV * ...)
                         = 1 *
                           ( 1 [Inequality] *
                            1 [Isoperimetric inequality] *
                            1 [Minkowski sum] *
                            1 [Star-shaped sets] *
                            1 [Star shapes]
                           )

                         = 1
Outbound 3 Tags on post
Inbound 3 Posts tagging this
Connections 5 Total nodes
Base Node Strength 9
Base Node Influence 1
Strength Share (vs Direct Neighbours)
12.68% (28.2K overall)
  • This Post (12.68%)
  • Isoperimetric inequality (5.63%)
  • Star-shaped sets (5.63%)
  • Star shapes (5.63%)
  • Minkowski sum (1.41%)
Dominant nodes (excluded from chart)
Inequality 69.01%
Influence Share (vs Direct Neighbours)
16.67% (1 overall)
  • This Post (16.67%)
  • Inequality (16.67%)
  • Isoperimetric inequality (16.67%)
  • Minkowski sum (16.67%)
  • Star-shaped sets (16.67%)
  • Star shapes (16.67%)

Connected Network Hierarchy

Sort list by:
Top Network Boosters (Highest Multipliers)
Inequality ↗
Str: 49Inf: 1
Isoperimetric inequality ↗
Str: 4Inf: 1
Minkowski sum ↗
Str: 1Inf: 1
Star-shaped sets ↗
Str: 4Inf: 1
Star shapes ↗
Str: 4Inf: 1
Weakest Connections (Lowest Multipliers)
Star shapes ↗
Str: 4Inf: 1
Star-shaped sets ↗
Str: 4Inf: 1
Minkowski sum ↗
Str: 1Inf: 1
Isoperimetric inequality ↗
Str: 4Inf: 1
Inequality ↗
Str: 49Inf: 1

Connection Health Audit (Red = broken 1-way link)

Outbound Tags (3)
Isoperimetric inequality
Minkowski sum
Star-shaped sets
Inbound Posts (3)
Isoperimetric inequality
Minkowski sum
Star-shaped sets
Last calculated: Jul 26, 7:26 AM
39

Related Content

Subtopics

  • Inequality

Topics

  • Isoperimetric inequality
  • Minkowski sum
  • Star-shaped sets
  • Star shapes