You couldn't have blamed Russell that night for thinking, If only Red could have lived to see this.
If only "Red Flag" were funnier and tighter and had a sharper idea about what it means to blur the lines between self-interrogation and self-absorption.
If two profiles share similar shapes but with an apparent difference in the magnitude, they may be regarded as similar profiles if only R factor is taken into account.
The mapping T : K → K is called R-map if Fix (T) is a ρ-continuous retract of K. Recall that a mapping R : K → Fix T) is a retract if and only if R ○ R = R.
Hence, (M,g) is Ricci-generalized pseudosymmetric if and only if R · R = L Q ( S, R ) Open image in new window (7).
Theorem C The Gini means G ( r, s ; x, y ) is Schur-geometric convex with respect to ( x, y ) on R + + 2 if and only if ( r, s ) ∈ { ( r, s ) | r + s ≥ 0 }, and G ( r, s ; x, y ) is Schur-geometric concave with respect to ( x, y ) on R + + 2 if and only if ( r, s ) ∈ { ( r, s ) | r + s ≤ 0 }.
x < 0 : R ( x ) > e x for all x < 0 <span class="lh">if and only if r is even, R ( x ) < e x for all η < x < 0 if and only if r is odd, where ξ > 1 is a real zero of Q s ( z ) and η < − 1 is a real zero of P r ( z ).
Then T is maximal if and only if R ( J p + r T ) = E ∗ for all r > 0. Using Theorem 3.2, we can show the following result.
Then R is finite if and only if R is finite for every α ∈ Π2.
$$\end{documentt} Γ → = 0 r in L if and only if r ∉ 1 L ⊥ K Γ.
