2,133 research outputs found
Acupuncture for Attenuating Frontal Lobe α Band Asymmetry Induced by Anger: : a pilot study
Peer reviewe
Poset modules of the -Hecke algebras and related quasisymmetric power sum expansions
Duchamp--Hivert--Thibon introduced the construction of a right
-module, denoted as , for any partial order on the set .
This module is defined by specifying a suitable action of on the set
of linear extensions of . In this paper, we refer to this module as the
poset module associated with . Firstly, we show that has a Hopf algebra structure that is isomorphic to the
Hopf algebra of quasisymmetric functions, where is the full
subcategory of whose objects are direct sums of finitely
many isomorphic copies of poset modules and is the
Grothendieck group of . We also demonstrate how
(anti-)automorphism twists interact with these modules, the induction product
and restrictions. Secondly, we investigate the (type 1) quasisymmetric power
sum expansion of some quasi-analogues of Schur functions, where
is a composition. We show that they can be expressed as the sum of the
-partition generating functions of specific posets, which allows us to
utilize the result established by Liu--Weselcouch. Additionally, we provide a
new algorithm for obtaining these posets. Using these findings, for the dual
immaculate function and the extended Schur function, we express the
coefficients appearing in the quasisymmetric power sum expansions in terms of
border strip tableaux.Comment: 42 page
Low-temperature synthesis of CuO-interlaced nanodiscs for lithium ion battery electrodes
In this study, we report the high-yield synthesis of 2-dimensional cupric oxide (CuO) nanodiscs through dehydrogenation of 1-dimensional Cu(OH)2 nanowires at 60°C. Most of the nanodiscs had a diameter of approximately 500 nm and a thickness of approximately 50 nm. After further prolonged reaction times, secondary irregular nanodiscs gradually grew vertically into regular nanodiscs. These CuO nanostructures were characterized using X-ray diffraction, transmission electron microscopy, and Brunauer-Emmett-Teller measurements. The possible growth mechanism of the interlaced disc CuO nanostructures is systematically discussed. The electrochemical performances of the CuO nanodisc electrodes were evaluated in detail using cyclic voltammetry and galvanostatic cycling. Furthermore, we demonstrate that the incorporation of multiwalled carbon nanotubes enables the enhanced reversible capacities and capacity retention of CuO nanodisc electrodes on cycling by offering more efficient electron transport paths
Video-Based Stylized Rendering using Frame Difference
In this paper, we suggest video based stylized rendering using frame difference. Stylized rendering using video frame has a temporal problem that occurs a difference between the previous and current frame. To reduce the temporal problem, we generate reference maps using temporal frame difference in correction and rendering steps. A correction method using reference maps can be reduced flickering effect caused by frame difference between the previous and current frame. We use a background map, an average map, and a quadtree-based summed area table as reference maps. Among these reference maps, the method using quadtree based summed area table can completely remove a flickering and popping effect. Also, a post-blurring method using bilateral filtering can be represented smooth, stylized rendering by removing unnecessary noise. Suggested stylized rendering system can be used in various fields such as visual art, advertisement, game and movie for stylized image contents generation
The projective cover of tableau-cyclic indecomposable -modules
Let be a composition of and a permutation in
. This paper concerns the projective covers of
-modules , and
, which categorify the dual immaculate
quasisymmetric function, the extended Schur function, and the quasisymmetric
Schur function when is the identity, respectively. First, we show that
the projective cover of is the projective indecomposable
module due to Norton, and and the -twist
of the canonical submodule of
for 's satisfying suitable
conditions appear as -homomorphic images of .
Second, we introduce a combinatorial model for the -twist of
and derive a series of surjections starting from
to the -twist of
. Finally, we construct the projective
cover of every indecomposable direct summand of
. As a byproduct, we give a characterization of
triples such that the projective cover of
is indecomposable.Comment: 41 page
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