Sentence examples for not be distinct from inspiring English sources

Observe that a path of length l involves ((l+1)) elements of X that need not be distinct in general.

Though the acoustic impedance contrast of the blue and red loop may not be distinct, sometimes they tend to be almost faint.

This suggests that migraine and tension-type headache may not be distinct entities, but two aspects of the same spectrum of benign headache [55]; alternatively as the brain matures migraine biology is more readily expressed and the conditions are distinct.

In case N = 2, there will be eigenvalues with multiplicity 2 precisely when a non-negative integer k exists for which c 1 + kc 2 = 0, and then the number of such eigenvalues is k + 1 2. It is perhaps tempting to think that although the eigenvalues of the operator L may not be distinct, yet it is still diagonalizable.

Second, the DOA θ n ∈ [ − π 2, π 2 ], n = 1, 2, ⋯, N, may not be distinct with each other since from Section 3.1, we know that the estimates of θ 1, θ 2, ⋯, and θ N are independently obtained from the corresponding scaled steering vectors h ̂ 1, h ̂ 2, ⋯, and h ̂ n, respectively.

This relevant negation is therefore an intensional operator: in order to evaluate negated formulas at w, one has to refer at the goings on of a world that may be distinct from w (it need not be distinct, as we will see soon).

A rejection supplied to PocketGamer by a developer shows Apple citing apps that "include filtering, bookmarking, searching or sharing recommendations" as not being distinct enough from the App Store itself to pass muster with Apple.

Don't go too far with the toothpick, since if you blend the colors too much they won't be distinct from one another.

In the double-walled-cup stage, the two internal germinal layers endoderm and mesoderm may not yet be distinct.

In practice, these stages might not always be distinct.

Though the catwalk and football field could not be more distinct, its fans sometimes overlap.