Here for any (i, j inmathcal{V}), (U_{ij} (x_{i},x_{j})) is an arbitrary function, (mathbb{Q}) is the set of all spanning unicyclic graphs of ((mathcal{G},A)), (w(mathcal{Q})) is the weight of spanning unicycle graph (mathcal{Q}), and (C_{mathcal{Q}}) denotes the directed cycle of (mathcal{Q}).
Here, for any (k, hinmathbb{L}), (F_{kh} (x_{k},x_{h} )) is an arbitrary function, (mathbb{Q} ) is the set of all spanning unicyclic graphs of ((mathcal {G},A )), (W(mathcal{Q})) is the weight of (mathcal{Q}), and (mathcal{C}_{mathcal{Q}}) denotes the directed cycle of (mathcal {Q}).
Here, (F_{ij}(x_{i}, x_{j}), 1leq i, jleq n), are arbitrary functions, Q is the set of all spanning unicyclic graphs of ((G, A)), (w(Q)) is the weight of Q, and (C_{mathrm{Q}}) denotes the directed cycle of Q.
Here (F_{ij} (x_{i},x_{j})) are arbitrary functions for any (1leq i, jleq l), (a_{ij}) are elements of matrix A, (mathbb{Q}) is the set of all spanning unicyclic graphs of ((mathcal{G},A)), (W(mathcal{Q})) is the weight of (mathcal {Q}), and (C_{mathcal{Q}}) denotes the directed cycle of (mathcal {Q}).
To unify the time unit, the half-life spans of all the drugs investigated were uniformly converted to minutes.
The closure of the finite linear span of all these continuous functions is a Hilbert space For any element in the finite linear span of the conventional (continuous) Hermite functions, there exists a sequence which converges pointwise to.
The voice maintains its certain, inalienable poise across the span of all these pieces.
The Newbler 2.3 assembly scored worst in each comparison, probably because it had the smallest span of all the assemblies.
Use a fresh air volume control because it is the item with the shortest life span of all these parts.
In the model bridge, the number of beams in all spans was the same, resulting in identical dead loads.
