„… ). A random variable associates each outcome of a random process to a value (or configuration), denoted …” „… value of Y is known. Conditional and joint probabilities are related to each other via the chain rule …” „… ) ∈ E . A DAG must not contain cycles. This property suggests the use of parent-child relationships …”

„… ) is a solution of the initial value problem (2.1) on interval I = [0, t1), t1 > 0, if x(t) is …” „… exists a t1 > 0, so that the initial value problem (2.1) has a unique solution x(t) for t ∈ [0, t1]. This …” „… continuous on Rm, then the initial value problem (2.1) has a unique solution x(t) for t ∈ [0, t1], ∀t1 > 0 …”

„… all stakeholdersThe transformation from linear to circular value creation requires not only a common …” „… system is aligned to it.With circular value creation, resource efficiency becomes an even more …” „… significant economic principle. Closing the loop turns waste into a raw material that has value. This value …”

„… = X(ω) is a realization, which is an observed value of X. In this work, we will only consider random …” „… abuse of notation, we may omit random variables if the statement remains clear from the context. Thus …” „… }). Definition 2.2. The expected value of a discrete random variable X : Ω→ R is given by E[X] := ∑ x∈X(Ω) xP(X …”

„… value. If a node (corresponding to a detection) or an edge (representing a possible link of two nodes to …” „… chain rule and the Markov property is given by P(γ) = P(d1) M∏ i=2 P(di | di−1)P(dM) , (1.4) where we …” „… possible trajectory to a probability value is difficult. An alternative approach is to employ a …”

„… statement to be shown. Now assume u 6= w. Let u0 = v, u1 = u, and P̃ = (u0u1, . . . , un−1un) ∈ vun-paths(G …” „… ∈ R. Note that there exists a unique path P̃ with the desired property by the flow conservation …” „… bounded by a value δ independent of |V|. 145 4 Lifted Disjoint Paths Algorithm 4.3: Extract_path(P 1, v, w …”

„… virtual work. This is considered by some as a statement of mechanics more fundamental than the traditional …” „… the equilibrium of the particle [69]. Zienkiewicz et al. [69] reported that the virtual work statement …” „… corresponding to Zienkiewicz et al. [69]. As it can be seen, the virtual work statement precisely is the weak …”