Sentence examples for no two elements from inspiring English sources

There are no two elements within a sub-array having as large a spacing as this, giving an advantage to the joint processing for LSA.

The mappings f, g : X → R are said to be ⪯-comonotonic if there are no two elements x 1, x 2 ∈ X with x 1 ⪯ x 2, f ( x 1 ) < f ( x 2 ) and g ( x 1 ) > g ( x 2 ).

Such functions are in bijective correspondence with antichains aka Sperner families of P = { 0, 1 } r, that is, subsets of P such that no two elements are comparable under the partial order ≤.

While it is true that (_O) is first-order definable from (_P,) the opposite is not the case: both a total ordering and an antichain ordering i.e., no two elements are comparable on a two-element set give rise to the same interpretation for (_O,) but not for (_P).

Next, we permuted the popCons coordinates such that no two elements in the permuted data set overlapped (just as in the true set).

If p has no zero elements, then the result to be proved is trivially satisfied.

Partly, you can sense it when each individual element in a wine (fruit, tannins, alcohol and acidity) is in proportion so that no one element dominates or is noticeable by its absence.

"Why no Norway – two elements – no ECJ intervention.

In reference to Britain remaining a member of the European Economic Area, like Norway, the note said: "Why no Norway – two elements – no ECJ [European court of justice] intervention.

No matter which two elements you choose, just remember that you can only be those two – figure out what those values are, internalize them, and then stick with that plan to continuously delight your clients.

We then generated 19 subsets for the cross-validation experiments, such as there is no sequence identity greater than 25% and no functional similarity between two elements belonging to disjoint sets.