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Quilled flowers : a garden of 35 paper projects
\"Roll, mold, and shape colorful strips of paper into a bevy of petals, blooms, and bouquets for all occasions\"--P. [4] of cover.
Book
The set of maximal points of an $\\boldsymbol{\\omega}$ -domain need not be a $\\boldsymbol{G}_{\\boldsymbol{\\delta}}$ -set
A topological space has a domain model if it is homeomorphic to the maximal point space
$\\mbox{Max}(P)$
of a domain
$P$
. Lawson proved that every Polish space
$X$
has an
$\\omega$
-domain model
$P$
and for such a model
$P$
,
$\\mbox{Max}(P)$
is a
$G_{\\delta }$
-set of the Scott space of
$P$
. Martin (2003) then asked whether it is true that for every
$\\omega$
-domain
$Q$
,
$\\mbox{Max}(Q)$
is
$G_{\\delta }$
-set of the Scott space of
$Q$
. In this paper, we give a negative answer to Martin’s long-standing open problem by constructing a counterexample. The counterexample here actually shows that the answer is no even for
$\\omega$
-algebraic domains. In addition, we also construct an
$\\omega$
-ideal domain
$\\widetilde{Q}$
for the constructed
$Q$
such that their maximal point spaces are homeomorphic. Therefore,
$\\textrm{Max}(Q)$
is a
$G_\\delta$
-set of the Scott space of the new model
$\\widetilde{Q}$
.
Journal Article
Clique-factors in graphs with sublinear $\\boldsymbol\\ell$ -independence number
Given a graph
$G$
and an integer
$\\ell \\ge 2$
, we denote by
$\\alpha _{\\ell }(G)$
the maximum size of a
$K_{\\ell }$
-free subset of vertices in
$V(G)$
. A recent question of Nenadov and Pehova asks for determining the best possible minimum degree conditions forcing clique-factors in
$n$
-vertex graphs
$G$
with
$\\alpha _{\\ell }(G) = o(n)$
, which can be seen as a Ramsey–Turán variant of the celebrated Hajnal–Szemerédi theorem. In this paper we find the asymptotical sharp minimum degree threshold for
$K_r$
-factors in
$n$
-vertex graphs
$G$
with
$\\alpha _\\ell (G)=n^{1-o(1)}$
for all
$r\\ge \\ell \\ge 2$
.
Journal Article
Easy paper projects : 60 crafts you can wear, gift, use and admire
\"Learn just how versatile paper can be when creating fun, colorful crafts. Whether you have plain printer paper, a rainbow array of cardstock or just a few scraps of construction paper, you?ll be able to create inventive paper crafts that require only a few materials you already have, making them a thrifty and accessible alternative to more complicated projects ... With easy-to-follow step-by-step instructions and plenty of photos to guide you, you can be on your way to creating paper masterpieces in no time\"--Back cover.
Book
The Zwicky Transient Facility
The Zwicky Transient Facility (ZTF) Observing System (OS) is the data collector for the ZTF project to study astrophysical phenomena in the time domain. ZTF OS is based upon the 48 inch aperture Schmidt-type design Samuel Oschin Telescope at the Palomar Observatory in Southern California. It incorporates new telescope aspheric corrector optics, dome and telescope drives, a large-format exposure shutter, a flat-field illumination system, a robotic bandpass filter exchanger, and the key element: a new 47-square-degree, 600 megapixel cryogenic CCD mosaic science camera, along with supporting equipment. The OS collects and delivers digitized survey data to the ZTF Data System (DS). Here, we describe the ZTF OS design, optical implementation, delivered image quality, detector performance, and robotic survey efficiency.
Journal Article