Sentence examples similar to I m supposed from inspiring English sources

For any given type of AAS i (i = 1, 2,…, m), suppose that there are n i variants in the disease database and each variant j (j = 1, 2,…, n i) has a PhastCons score of P ij.

Suppose { x i, m } is a sequence on Λ i, 1 ≤ i ≤ N. Thus, { ( F i Ψ x i, m ) ( t ) } as a sequence of functions on [ 0, T ] is equicontinuous.

Let us consider an m-dimensional network, m=2 or 3, with N reference nodes at known positions a i = [ a i, 1 ⋯ a i, m ] T ∈ R m, i = 1, …, N. Suppose that a target node is placed at an unknown position x = [ x 1 ⋯ x m ] T ∈ R m.

What I else am I supposed to do?" Ms Xue, a friendly outgoing girl in her 20s, said they all knew the perils.

However, frequent comparisons of Eresidual(i) and Ethreshold(i) may cause jitter in the value of m i. Suppose that node n i starts to operate as an FT-node as soon as Eresidual(i) exceeds Ethreshold(i).

The points Xi of visit to the sets Mi, i ∊ 1, m, are supposed to be an uncertain factors (opposing nature) or controls of real player-opponent trying to maximize the cost.

Corrollary 2.2 Let ( X, d ) be a complete metric space, m ∈ N, A 1, A 2, …, A m be non-empty closed subsets of X and Y = ⋃ i = 1 m A i. Suppose that T : Y → Y is an operator such that (1) ⋃ i = 1 m A i is a cyclic representation of Y with respect to T;   (2) there exists k ∈ [ 0, 1 2 ) such that d ( T x, T y ) ≤ k [ d ( x, T y ) + d ( y, T x ) ]  .

Corollary 1.21 Let ( X, σ ) be a complete metric-like space, m ∈ N, let A 1, A 2, …, A m be nonempty σ-closed subsets of X and Y = ⋃ i = 1 m A i. Suppose that T : Y → Y is an operator such that (i) Y = ⋃ i = 1 m A i is a cyclic representation of X with respect to T;   (ii) there exists β ∈ [ 0, 1 6 ) such that σ ( T x, T y ) ≤ β [ σ ( x, T x ) + σ ( y, T y ) + σ ( x, T y ) + σ ( y, T x ) ] (28)  .

Theorem 2 [7] Let (X, d) be a complete metric space, m ∈ ℕ, A1, A2,..., A m closed nonempty subsets of X and X = ∪ i = 1 m A i. Suppose that f is a cyclic weaker φ-contraction.

Theorem 1 [5] Let (X, d) be a complete metric space, m ∈ ℕ, A1, A2,..., A m, closed nonempty subsets of X and X = ∪ i = 1 m A i. Suppose that f satisfies the following condition.

Let ( X, d ) be a complete metric space, m ∈ N, A 1, A 2, …, A m be closed nonempty subsets of X and X = ⋃ i = 1 m A i. Suppose that f is a cyclic weaker φ-contraction.