Sentence examples for notions needed from inspiring English sources

We begin by stating some notions needed.

In this section, we state more notions needed later.

Below we present some basic notions needed in this manuscript.

The only topological notions needed in the characterization are two notions of sequential convergence, pointwise and strict.

In Section 3.2 we will introduce Ω-logic and the other notions needed to make the case.

We complete the introduction of the notions needed for evaluation of the desired difference of the expectation values by considering the operators obtained in the following two ways: (9) A (x, p ) ↔ Weyl A ˆ (x ˆ, p ˆ ) ⟶ x ˆ (t ), p ˆ (t ) via − A ˆ (x ˆ (t ), p ˆ (t ) ) = A ˆ (t, x ˆ, p ˆ ) ≠ A (x, p ) ⟶ x (t ), p (t ) via P A P (x (t ), p (t ) ) = A P (t, x, p ) ↔ Weyl A ˆ P (t, x ˆ, p ˆ ).

But this is a further claim that many defenders of the traditional notions need not embrace.

Beyond the notion of blame lie other, equally ethically important, notions such as regret or even anguish at one's actions; and these notions need not show any tight connection with voluntariness either.

On the other hand, the two notions need to be distinct –– if it is to be plausible that having a primitive normative attitude does not require concepts like those of rule or truth.

Mr. Bratton said that the original notion needed to be adjusted, not discarded, particularly after the major reductions in crime.

There is an additional notion needed here from classical homotopy theory, that of a twisting cochain which we recall here.