Sentence examples for any ies from inspiring English sources

For successful application of any IES (Intelligent Educational System), it is necessary to get information about a learner's knowledge [5, 6].

For example, f (x i,y i)> f (x i,y j) for any y i in Y i and y j not in Y i.

for any y ∈ C 1 ( I ) with y = 0 = y.

It follows from condition (i) that for any y ∈ K, we have y ∈ G y) and so G y) ≠ ∅.

for any y ∈ Y and any symmetric tensor ξ i j.

Similarly, for any x ∈ Y, any finite subset { y 1, …, y n } of Y and any y ∈ co { y 1, …, y n }, there is i ∈ { 1, …, n } such that Q ′ ( x, y, y i ) holds.

Similarly, for any x ∈ X, any finite subset { y 1, …, y n } of Y and any y ∈ co { y 1, …, y n }, there is i ∈ { 1, …, n } such that Q ( x, y, y i ) holds.

Theorem 4.1 Suppose that for any y, z ∈ X, we have y ⪯ z ⇒ d ( T i y, T i z ) → 0. (4.1).

Note that F* y) = XF- y) for any y ∈ Y.

for any y ∈ K. Then x = z.

for any y ∈ Z σ ( s, p ) by Lemma 3.7.