Sentence examples for argument of unity from inspiring English sources

This is the argument of Unity '08, a group of citizens and a few political veterans formed to back some sort of independent, centrist, problem-solving candidate to be named later.

Hence, gamma duplication formulae can be used at this stage to convert the variable coefficient of the first argument to unity.

Mr Hadi needs to make a convincing argument for unity.

In these two examples, Hausdorffness of is assumed since they used the partition of unity argument.

Indeed, as we already explained, we may assume that ( N subset {mathbb {R}}^n, M subset {mathbb {R}}^m) and, by a partition of unity argument, that M is an open set in ({mathbb {R}}^h).

Then using (5) and (6) and by applying the converse result of Theorem 3.1 established in [2], condition (6) in conjunction with (8) and (9) enables us to build, by the standard partition of unity arguments, a C ∞ control law u = ϕ ( t, x ) with ϕ ( t, 0 ) = 0 such that Y Φ ( t, x ) = D Φ ( t, x ) + ∑ z = 1 p D z Φ ( t, x ) u z ≤ − ρ ( Φ ( t, x ) ) + μ ( t ).

In order to translate the variable coefficient in the argument of the last term to unity, set s β = s ′ which results in f NW ( v ) = β Γ ( m ) ( Ωα m ) 1 2 1 2 πj ∫ L Γ m - 1 2 + β s ′ 2 × Γ 1 - 1 β + s ′ Ω α 2 m β s ′ 2 v - β s ′ d s ′. (17).

On an interpretation of this type, the mechanism of the argument of §16 is to adduce a kind of unity or combination that my representations actually exhibit, and then to argue that this unity requires synthesis by means of the categories as a condition or for its explanation.

The number e is the primitive nth root of unity with the smallest positive complex argument.

Herbig's proof of Theorem 7.6 also starts with the inequalities behind Theorem 3.3, though new arguments are required, including a careful analysis of a partition of unity in the phase variable.

Reid (1785), almost an exact contemporary of Kant's, made extensive use of the unity of consciousness, among other things to run Descartes' argument from unity to indivisibility the other way around.