Sentence examples similar to pseudo right from inspiring English sources

Apply the idea of core individual rights consistently, without distinction by sphere, and two benefits arise: Citizens see governments as made up of individuals who must respect these same rights, and, by focusing government on its core functions, citizens can better provide for themselves and will demand fewer pseudo "rights" from elected officials.Eric C. BanfieldBrookfield, Illinois.

Instead, the country is consumed by a civil cold war between the pseudo-right and the pseudo-left.

Now we define the notions of ρ-generalized-pseudo-right upper-Dini-derivative locally arcwise connected, strictly ρ-generalized-pseudo-right upper-Dini-derivative locally arcwise connected and ρ-generalized-quasi-right upper-Dini-derivative locally arcwise connected functions.

This means that φ is ρ-generalized-pseudo-right upper-Dini-derivative locally arcwise connected (with respect to H) at x ¯ = 0.

The function φ : X → R is said to be ρ-generalized-pseudo-right upper-Dini-derivative locally arcwise connected (with respect to H) on X if it is ρ-generalized-pseudo-right upper-Dini-derivative locally arcwise connected (with respect to H) at any x ¯ ∈ X.

The following example shows that there exists a function which is ρ-generalized-pseudo-right upper-Dini-derivative locally arcwise connected but not -right upper-Dini-derivative locally arcwise connected with respect to the arc H. Example 2.1 Let X = ( − 1, 1 ) and the function φ : X → R be defined by φ ( x ) = { | x | sin 2 1 x ; if  x ∈ ( − 1, 0 ) ∪ ( 0, 1 ), 0 ; if  x = 0.

Definition 2.5 The function φ : X → R is said to be ρ-generalized-pseudo-right upper-Dini-derivative locally arcwise connected (with respect to H) at x ¯, if there exists a real function ρ : X × X → R such that ( d φ ) + ( H x ¯, x ( 0 + ) ) ≥ − ρ ( x, x ¯ ) ⇒ φ ( x ) ≥ φ ( x ¯ ), ∀ x ∈ X, equivalently φ ( x ) < φ ( x ¯ ) ⇒ ( d φ ) + ( H x ¯, x ( 0 + ) ) < − ρ ( x, x ¯ ), ∀ x ∈ X.

Two versions of solutions of (upbeta) can be derived from (10) regarding left pseudo-inverse or right pseudo-inverse.