Sentence examples for hence constraints from inspiring English sources

Exact(1)

When we set the dictionary to be overcomplete, an infinite number of solutions are available for the representation; hence, constraints on the solution must be set.

Similar(58)

Hence, Constraint (3) is formulated as Equality.

Hence, constraint (6) in conjunction with constraint (7)results in a ij kl=0 if f ij kl=0.

Apart from accurate evaluation of limit load, detailed evaluation of crack tip stresses and hence constraint near the crack tip has been performed using this new form of work principles.

The power budget on each sub-carrier is given by: P n max = p pu | h n pu | 2 2 1 − η / P n md ( λ n ) R pu, n max − 1 − δ 2 1 | h k, n cp | 2. Hence, constraint C2 of (P2) is satisfied if ∑ k = 1 K ρ k, n p k, n < P n max, ∀ n.

Hence, the constraints form a polyhedron which is a convex set.

Hence, the constraints of the form (13). where is a posynomial (cf. [24, 25]), can be equivalently expressed as (14).

Hence, engineering constraints such as plane symmetry of two points, as well as coplanar and collinear of the multipoint should be considered in the new optimal method of posture adjustment in aircraft fuselage joining assembly.

Since the data available from rural and unorganised sectors are often ill-defined and subjective in nature, many coefficients are fuzzy numbers, and hence several constraints appear to be fuzzy expressions.

From a routine autoimmune laboratory perspective, this approach requires the detection of CD-specific autoAb by different techniques and, hence, creates constraints to run large numbers of samples cost-effectively.

It is interesting to note that as θ → 0 and hence QoS constraints relax, effective capacity approaches the ergodic capacity, i.e., C θ → E z R i. On the other hand, as shown in [13], C converges to the delay limited capacity as θ grows without limit (i.e., θ → ∞) and QoS constraints become increasingly more strict.

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