Sentence examples for there exist two cases from inspiring English sources

With this approach, there exist two cases of Shift.

For x k, there exist two cases as follows.

(v) Let l 0 = l ∩ P 0 ∈ L 0 and l ∈ L. There exist two cases: l ∩ P ′ = ϕ or not.

(39) Otherwise, there exist two cases: (i) (F tilde{p},t)>0) for all (tgeq n_{4}T);   (ii) (F tilde{p},t)) oscillates about 0 for all large t.  .

As described in Remark 1, there exist seven cases for the two-source MARC.

For the real numbers f ( x 1 ) and x 1, there exist three cases: f ( x 1 ) > x 1, f ( x 1 ) < x 1 and f ( x 1 ) = x 1.

Thus, there exist four cases, as demonstrated in Figure 5. Specially, if the current vector is located at the starting position of a reset frame, there will be no adjacent vector to build the next-state function, then a special state, s s 0, should be assigned.

Then, there exists two cases.