The background of sea and sky, which reads, as do the sculptures, as both flat and recessive, adds a cosmic dimension to the artist's philosophical riddling.
Day's resignation – which was expected to set off a routine process where he would be replaced by another candidate from Family First through a casual vacancy – was followed by Parry's letter to senators, which reads as follows.
The pieces in it are characterized by his customary blend of common sense, intense curiosity, prodigious scholarship and an unusual ability to synthesize insights and discoveries from many disciplines, as well as by a prose style of the utmost clarity, which reads as easily as though the author were speaking directly to us.
Strictly speaking, it refers to the last sentence of a very short tractate on the Trinity, which reads, "As far as you are able, join faith to reason"—an injunction which in fact was to become, for centuries, the formal foundation of Scholasticism.
We will establish an abstract existence theorem concerning cone expansion and compression of order type, which reads as follows.
Notice also here that the above corollary is related to a multivariate fixed point theorem of Ćirić and Prešić (see [22]), which reads as follows.
In the present note, we give a short proof of Theorem 1.1, based on the weighted version of the handshaking lemma, which reads as follows.
Note that in the general case, the characteristic equation r k − α 1 r k − 1 − ⋯ − α k − 1 r − α k = 0. has all its roots (not always real) in absolute value in the interval [ 0, 1 ), by virtue of a consequence of the Rouché theorem, see [36], which reads as follows.
Corollary 1.4 For any graph G of order n, ∑ u v ∈ E ( G ) ( 1 d ( u ) + 1 d ( v ) ) = n − n 0, where n 0 is the number of isolated vertices in G. Let V 0 denote the set of isolated vertices in a graph G. Došlic et al. established an identity similar to Theorem 1.2, which reads as follows.
