Spreading Curve (Approximate) Definition (Q3824): Difference between revisions

@@ Property / defining formula @@
+ $\phi (t\,|\,\sigma ,i(0))\equiv \left(P_{m}-\int _{0}^{t}\left.{\frac {ds_{m}(\tau )}{d\tau }}\right|_{\sigma ,P_{m}-i(0)}d\tau \right)_{m=1,\ldots ,N_{R}}$ 
\phi (t\, |\,\sigma , i(0)) \equiv \left( P_m - \int _{0}^t \left. \frac{ds_m(\tau )}{d\tau } \right| _{\sigma , P_m - i(0)} d\tau \right) _{m = 1,\ldots ,N_R}
+Normal rank
@@ Property / in defining formula @@
+ $t$ 
t
@@ Property / in defining formula: $t$ / rank @@
+Normal rank
@@ Property / in defining formula: $t$ / qualifier @@
+symbol represents: time
@@ Property / in defining formula @@
+ $\phi$ 
\phi
@@ Property / in defining formula: $\phi$ / rank @@
+Normal rank
@@ Property / in defining formula: $\phi$ / qualifier @@
+symbol represents: Spreading Curve (Approximate)
@@ Property / in defining formula @@
+ $P$ 
P
@@ Property / in defining formula: $P$ / rank @@
+Normal rank
@@ Property / in defining formula: $P$ / qualifier @@
+symbol represents: Number of Cities
@@ Property / in defining formula @@
+ $N_{R}$ 
N_R
@@ Property / in defining formula: $N_{R}$ / rank @@
+Normal rank
@@ Property / in defining formula: $N_{R}$ / qualifier @@
+symbol represents: Number of Regions
@@ Property / in defining formula @@
+ $s$ 
s
@@ Property / in defining formula: $s$ / rank @@
+Normal rank
@@ Property / in defining formula: $s$ / qualifier @@
+symbol represents: Susceptible Cities
@@ Property / in defining formula @@
+ $i$ 
i
@@ Property / in defining formula: $i$ / rank @@
+Normal rank
@@ Property / in defining formula: $i$ / qualifier @@
+symbol represents: Number Of Infected Cities
@@ Property / in defining formula @@
+ $\sigma$ 
\sigma
@@ Property / in defining formula: $\sigma$ / rank @@
+Normal rank
@@ Property / in defining formula: $\sigma$ / qualifier @@
+symbol represents: Contact Network (Time-dependent)
@@ Property / contains @@
+Initial Number Of Infected Cities
@@ Property / contains: Initial Number Of Infected Cities / rank @@
+Normal rank
@@ Property / contains: Initial Number Of Infected Cities / qualifier @@
+object has role: initial condition

Spreading Curve (Approximate) Definition (Q3824): Difference between revisions

$\phi (t\,|\,\sigma ,i(0))\equiv \left(P_{m}-\int _{0}^{t}\left.{\frac {ds_{m}(\tau )}{d\tau }}\right|_{\sigma ,P_{m}-i(0)}d\tau \right)_{m=1,\ldots ,N_{R}}$

$t$

$\phi$

$P$

$N_{R}$

$s$

$i$

$\sigma$

Latest revision as of 10:01, 18 September 2024

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mathematics(0 entries)

Spreading Curve (Approximate) Definition (Q3824): Difference between revisions

ϕ ( t | σ , i ( 0 ) ) ≡ ( P m − ∫ 0 t d s m ( τ ) d τ | σ , P m − i ( 0 ) d τ ) m = 1 , … , N R {\displaystyle \phi (t\,|\,\sigma ,i(0))\equiv \left(P_{m}-\int _{0}^{t}\left.{\frac {ds_{m}(\tau )}{d\tau }}\right|_{\sigma ,P_{m}-i(0)}d\tau \right)_{m=1,\ldots ,N_{R}}}

t {\displaystyle t}

ϕ {\displaystyle \phi }

P {\displaystyle P}

N R {\displaystyle N_{R}}

s {\displaystyle s}

i {\displaystyle i}

σ {\displaystyle \sigma }

Latest revision as of 10:01, 18 September 2024

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mathematics(0 entries)

$\phi (t\,|\,\sigma ,i(0))\equiv \left(P_{m}-\int _{0}^{t}\left.{\frac {ds_{m}(\tau )}{d\tau }}\right|_{\sigma ,P_{m}-i(0)}d\tau \right)_{m=1,\ldots ,N_{R}}$

$t$

$\phi$

$P$

$N_{R}$

$s$

$i$

$\sigma$