Sentence examples for limit form of from inspiring English sources

They used the limit form of k-gamma function for this purpose.

2, we define the sub-band operator, and obtain the limit form of the norm of the sub-band operator.

Then the weak convergence theorem is proved for the ergodic distribution of the process X ( t ) and the limit form of the ergodic distribution is derived.

The finite element function space is induced from the limit form of Catmull Clark surface subdivision containing boundary subdivision schemes which has C1 continuity everywhere.

Finally, the weak convergence theorem is proved for the ergodic distribution of the process W λ ( t ) ≡ λ X ( t ), and the limit form of the ergodic distribution G ( x ) is established.

Particularly, we investigate a limit form of Theorem 3 considering h → 0. In the Case (I) of k even, the asymptotic stability region of (11) becomes | b | + a < 0. Let us note that with the exception of the boundary, this region corresponds to (2).

Theorem 1.6 Suppose that K, L and Q are convex bodies in R n that contain the origin in their interiors, then for real λ ∈ [ 0, 1 ], we have V ¯ 0 ( Q, ( 1 − λ ) ⋅ K + 0 λ ⋅ L ) ≤ V ¯ 0 ( Q, K ) 1 − λ V ¯ 0 ( Q, L ) λ. Combining the famous variant (proved in [4]) of Aleksandrov's lemma and the representation of (1.4), we obtain a limit form of V ¯ 0 ( K, L ) in the following theorem.

For the ancient Athenians who practiced an incipient, albeit limited form of democracy (one that we surely aim to surpass), violence was characteristic of the master-slave relationship, not that of free citizens.