Interaction Force on an Individual (Q6674434)

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interaction force on an individual

Language	Label	Description	Also known as
English	Interaction Force on an Individual	interaction force on an individual

Statements

mathematical expression

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continuous-time expression

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continuous-space expression

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defining formula

F_{i} (𝐱, 𝐲, 𝐳, t) = \frac{a}{\sum_{j^{'}} w_{i j^{'}} (t)} \sum_{j = 1}^{N} w_{i j} (t) (x_{j} (t) - x_{i} (t)) + b \sum_{m = 1}^{M} B_{i m} (t) (y_{m} (t) - x_{i} (t)) + c \sum_{l = 1}^{L} C_{i l} (t) (z_{l} (t) - x_{i} (t))

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in defining formula

B (t)

symbol represents

Medium Follower Matrix

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C (t)

symbol represents

Influencer Individual Matrix

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F_{i} (t)

symbol represents

Interaction Force

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a

symbol represents

Parameter to Scale Attractive Force from Other Individuals

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b

symbol represents

Parameter to Scale Attractive Force from Media

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c

symbol represents

Parameter to Scale Attractive Force from Influencers

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t

symbol represents

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w_{i j}

symbol represents

Interaction Weight

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MaRDI profile type

MaRDI formula profile

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The interaction force on individual i is given by a weighted sum of attractive forces from all other connected individuals j, the respective media and the respective influencer scaled by the parameters a,b,c > 0 respectively.

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Sitelinks

Mathematics(1 entry)

mardi Formula:6674434

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