Probability of the System being in a State (Q6773623): Difference between revisions

@@ label / en / label / en @@
-Probability of the System being in a particulat State
+Probability of the System being in a State
@@ description / en / description / en @@
-probability of the system being in a particulat state at a specific time
+probability of the system being in a particular state at a specific time
@@ Property / defining formula @@
+ $p (𝒙, t) : = ℙ (𝑿 (t) = 𝒙 ∣ 𝑿 (0) = 𝒙_{0})$ 
p(\boldsymbol{x}, t):=\mathbb{P}\left(\boldsymbol{X}(t)=\boldsymbol{x} \mid \boldsymbol{X}(0)=\boldsymbol{x}_0\right)
+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 @@
+ $𝒙$ 
\boldsymbol{x}
@@ Property / in defining formula: $𝒙$ / rank @@
+Normal rank
@@ Property / in defining formula: $𝒙$ / qualifier @@
+symbol represents: State of System Vector
@@ Property / in defining formula @@
+ $X (t)$ 
X(t)
@@ Property / in defining formula: $X (t)$ / rank @@
+Normal rank
@@ Property / in defining formula: $X (t)$ / qualifier @@
+symbol represents: Markov Jump Process
@@ links / mardi / name / links / mardi / name @@
+Quantity:6773623

Latest revision as of 10:19, 10 July 2025