... Chessboards have a Closed Knight’s Tour
within the Rectangular Prism?
Joe DeMaio
Department of Mathematics and Statistics
Kennesaw State University
Kennesaw, Georgia, 30144, USA
jdemaio@kennesaw.edu
Bindia ... [8]. Across the Board: The
Mathematics of Chessboard Problems by John Watkins is an indispensable collection of
knight’s tour results as well as many other mat...
... the standard 8 × 8 board [3] and the problem is easily generalized
to rectangular boards. In 1991 Schwenk [4] completely answered the question: Which
rectangular chessboards have a knight’s tour?
Schwenk’s ... J. Schwenk, Which Rectangular Chessboards have a Knight’s Tour? Mathematics
Magazine 64:5 (December 1991) 325-332.
[5] J. J. Watkins, Knight’s Tours on...
...
Helicoverpa zea
moth showing the two antennal lobes at the bases of the antennae. The preparation has been
histologically cleared so that the many antennal lobe glomeruli are visible as spheroidal shapes. ... travel to the antennal
lobe of the brain at the base of the antenna and arborize in
their own class-specific knot of neuropil called a
glomerulus, which resides ther...
... thank Tudor Marian for
serving as an annotator, Rada Mihalcea for ac-
cess to the Romanian newswire corpus, and Claire
Cardie, Yejin Choi, Effi Georgala, Mark Liber-
man, Myle Ott, Jo
˜
ao Paula ... is that adjective you’ve mentioned.
Anca: A negative pronominal adjective.
Cristi: You mean there are people who analyze that
kind of thing?
Anca: The Romanian Academy.
Cristi: They’re crazy....
... configuration to the other. In the opening part of the performance,
the artist creates a minimalist atmosphere by playing a theme on the synthesizer.
As the arrangement gradually evolves, the performer ... the
dynamic haptic feedback.
Apart from the gain parameters modulation, the mechanical capabilities and
the design of the robot deeply influenced the capabilitie...
... is the lateral deflection, x the space coordinate, t the
time, E the Young modulus, r the mass density, h the cross section area, L the length,
p
0
the initial axial tension and f the external ... with the nonlinear term h(∇u) requires a careful
treatment because we do not have any information about the influence of the integral
h(∇u)u
t
dx
about the sign of...
... on the dorsal surface of the shaft
of the penis where small, superficial incisions are made
and beads are placed under the skin surface. Most
implants are made of small inert metal beads (stainless
steel, ... initial
report; BD and MF edited and revised the report, and added the discussion.
All authors read and approved the final manuscript.
Competing interests
The authors dec...