bluuebunny/crossref_metadata_2025 huggingface dataset:
Estimating Breeding values for milk production and mastitis traits for Holstein cattle in Egypt
Authors: Faid-Allah Eslam
Published: January 2019

This study was carried out to evaluate the sires and dams genetically for milk production and mastitis traits in Egyptian 12 herds of Holstein cattle using Best Linear Unbiased Prediction via MTDFREML program. The data was obtained from a commercial farm called Dena, located in Cairo-Alex Desert Road (80 Km), Menofia, Egypt. Data included 4791 cows, 4227 dams and 248 sires that represented the period from 2007 to 2014. Estimating breeding values for milk production traits as cumulative milk yield at 90 days (90-DM), cumulative milk yield at 180 days (180-DM), cumulative milk yield at 270 days (270-DM), cumulative milk yield at 305 days (305-DM), and number of mastitis infection around the season of lactation (MAST). The averages of the 90-DM, 180-DM, 270-DM, 305-DM and MAST were 3026.3±655.1 kg, 5873.3±1081.1 kg, 7891.1±2692.2 kg, 9611.2±1897.9 kg, and 0.712±1.2 time/parity, respectively. Estimates of heritability for the previous traits were 0.11±0.016, 0.15±0.014, 0.18±0.012, 0.22±0.015, and 0.09±0.029, respectively; genetic variance were 47206.2 kg, 175300.6 kg, 1304654.4 kg, 792411.6 kg and 0.12 time/parity, respectively; and phenotypic variance were 429147.6 kg, 1168670.6 kg, 7248079.9 kg, 3601870.9 kg, and 1.35 time/parity, respectively. The EBV values as average, SD, (Min: Max) for sires were 0.0±0.179 (-0.4: 0.66) for MAST, 0.0±86.176 (-263.1: 245.4) for 90-DM, 0.0±227.523 (-600.3: 800.3) for 180-DM, 0.0±413.48 (-323.3: 1277.7) for 270-DM and 0.0±440.26 (-1280.9: 1565.1) for 305-DM. Also, The EBVs for dams were 0.0±0.055 (-0.14: 0.45) for MAST, 0.033±26.24 (-142.8: 103.0) for 90-DM, 0.074±76.81 (-360.2: 289.6) for 180-DM, -0.045±139.66 (-591.9: 529.2) for 270-DM and 0.266±154.1 (-666.3: 617.6) for 305-DM. These results provide that the selection of sires and dams will improve the traits of milk production and mastitis in this herd because of the wide differences in genetic potential among sires and dams.
Genetic Diversity and Relationship among Bali Cattle from Several Locations in Indonesia Based on ETH10 Microsatellite Marker
Authors: Margawati Endang Tri , Volkandari Slamet Diah , Indriawati Indriawati , Ridwan Muhamad
Published: January 2019

Bali cattle is one of local beef cattle in Indonesia, up to present its performance indicated an inbreeding occurrence. This study was aimed to analyze the genetic diversity and relationship among Bali cattle from several locations in Indonesia based on ETH10 microsatellite marker. Ninety-four (94) DNA samples (89 Bali cattle; 5 Banteng) were analyzed. The Bali cattle samples were from 6 locations in Indonesia (15 Pulukan; 15 Nusa Penida; 14 Bima West Nusa Tenggara/WNT; 10 Mataram, WNT; 20 Riau; 15 South Borneo). DNA Banteng samples were collected from Prigen Malang of East Java. Microsatellite marker of ETH10 labelled HEX was used for amplification. Alleles were analyzed by using Cervus 3.0.7 and GenAlex 6.5. Result showed that there were five (5) alleles found in ETH10 marker i.e., 209; 213; 215; 217; and 219 bp. Average of observed (Ho) and expected (He) heterozygosity were 0.46±0.05 and 0.60±0.03, respectively. Five (5) out of 6 locations were in breeding occurrence except Bali cattle from Mataram was not inbreeding. The longest genetic relationship was between Bali cattle from Mataram and Riau whereas the closest distance was Bali cattle from South Borneo with Mataram. Banteng was closest to Bali cattle from Nusa Penida and the longest was to Bali cattle from South Borneo. This finding indicates there is inbreeding in Bali cattle, therefore it needs to be concerned in bull rotation and semen distribution for increasing the Bali cattle performance.
Serum Biochemical, Hormonal and Fatty Acid Profiles During the Late Gestation of Pregnancy Ketosis in Boer Cross Goats
Authors: Affan A. A. , Amirul FMA , Ghani AAA , Annas S , Zamri-Saad M , Hassim HA
Published: January 2019

Pregnancy ketosis has been recognized as one of the common metabolic disease affecting goat’s meat and milk production. For the present study, sixteen (n=16) individuals of pregnant does at day 80 of pregnancy had been used. A total of 8 does were categorized as control group (healthy pregnant goats), were fed on Napier grass and goat concentrate with water ad libitum, and another 8 does were considered as treatment group which categorized as ketosis based on the clinical signs and presence of ketone body in urine. Blood sample were collected from all goats for biochemical profiles analysis which were glucose, Beta-hydroxybutyrate (BHBA), free fatty acid (FFA), calcium, electrolytes (sodium, potassium, chloride), liver enzyme and hormonal levels (cortisol and insulin). Three does from each group were slaughtered and liver samples were collected for fatty acid profiles study. In this study, the BHBA, FFA, calcium, amino aspartate transferase (AST), gamma glutamyl transferase (GGT) and cortisol hormone were significantly higher in pregnancy ketosis goats as compared to control group. Meanwhile, the concentration of glucose, sodium, potassium, chloride and insulin hormones were lower in pregnancy ketosis goats as compared to control. Furthermore, the fatty acid composition in blood plasma of pregnant goat with ketosis showed higher level of palmitic, stearic and oleic acid, while in liver, palmitic, oleic and linoleic acid was found higher.
Efforts to Improve the Quality of Palm Kernel Cake through Fermentation Technology and Enzyme Addition for Poultry
Authors: Pasaribu Tiurma
Published: January 2019

Palm kernel cake (PKC) with the protein content 14-21% and crude fiber about 17.63% is a by product of palm kernel oil. Utilization of PKC as source of protein for poultry feed is still limited. While demand of feed is getting increased. Therefore, the technology to improve PKC quality is needed to optimalize using PKC. This paper inform any efforts to improve the quality of PKC through fermentation technology and addition of enzymes and their utilization as poultry feed ingredient. Fermentation process of PKC can be done using single bacteria, mold or combination of them. By fermentation technology, the protein of PKC increased up to 88% (from 13-15% to 16-28%) and crude fiber decreased by 28% (from 17 to 12.21%). Palm kernel cake after fermentation can substitute soybean meal up to 18%, can be used up to 21% in broiler ration, and up to 25% in layer ration. Enzyme addition could increase metabolisable energy. Fermented PKC and enzyme addition can improve feed efficiency and feed conversion, and reduce abdominal fat in the broiler. Fermentation technology and addition of enzyme to PKC could improve the nutritional quality of PKC.
Políticas de convivencia escolar en América Latina: Cuatro perspectivas de comprensión y acción
Authors: Morales Macarena , López Verónica
Published: January 2019

Muchos países de América Latina han promulgado políticas en relación a la convivencia escolar, observándose distintos énfasis en su conceptualización. Es importante estudiar la diversidad de comprensiones y propósitos de las políticas, puesto que de ellos se desprenden distintas estrategias e intervenciones. En este estudio analizamos las perspectivas de abordaje de la convivencia escolar, mediante un análisis cualitativo documental de políticas educativas de 18 países de la región. Los resultados describen cuatro perspectivas de comprensión y de acción para la convivencia escolar: democrática, de seguridad ciudadana, de salud mental infanto-juvenil y managerialista. Se discuten las implicancias de cada perspectiva para las prácticas de gestión de la convivencia escolar y para los desafíos educacionales de la región.
State-level autonomy in the era of accountability: A comparative analysis of Virginia and Nebraska education policy through No Child Left Behind
Authors: Ruff Ryan Richard
Published: January 2019

Following the 1983 A Nation at Risk report and culminating in No Child Left Behind (NCLB), states designed and implemented accountability policies to evaluate student achievement. External assessments of these policies identified substantial variability in the level of stakes associated with each system. This paper presents a comparative analysis of accountability policy prior to and during implementation of NCLB. Using the Virginia Standards of Learning and the Nebraska School-based Teacher-led Assessment and Reporting System, it explores the role of the historical and political context in shaping assessment policy through the lenses of the processes, conditions, and consequences of the policy process. It concludes that the influence of Nebraskan historical culture embedded the role of local action in the design and interpretation of accountability policy, which when combined with the collaborative efforts of the board of education, legislature, and executive branch, resulted in an atypical assessment model involving actors across the policy process. The Virginia experience was characterized by a strong political identity of centralization, yielding a top-down accountability system that constrained resources and opportunities for transforming policy at local levels. Findings demonstrate how comparable policy intentions for accountability are transformed due to existing state-level conditions and local policy culture.
OPERATOR PADA RUANG FUNGSI TERINTEGRAL DUNFORD
Authors: Solikhin Solikhin , Sumanto Y.D. , Hariyanto Susilo , Aziz Abdul
Published: January 2019

An integral Dunford and an operator on Dunford integrable functional space have discussed in this article. The results were shown that the Dunford integrable functional space was a linear function. For every Dunford integrable function on a closed interval, there is an operator that is linear bounded and weak compact operator, whereas its adjoin operator is also linear bounded and weak compact. An operator is weak compact if and only if its adjoin operator is weak compact. Furthermore, the norm of this operator was equal to the norm of its adjoin operator.
In Vitro Reactivation of Acetylcholinesterase Inhibited by Cyclosarin Using Bisquaternary Pyridinium Aldoximes K005, K033, K027 and K048
Authors: Kuča Kamil , Ševelová-Bartošová Lucie , Krejčová-Kunešová Gabriela
Published: January 2019

We have tested four new bisquaternary pyridinium acetylcholinesterase (AChE; EC 3.1.1.7) reactivators – K005 (1,3–bis(2–hydroxyiminomethylpyridinium) propane dibromide), K033 (1,4–bis(2–hydroxyiminomethylpyridinium) butane dibromide), K027 (1–(4–hydroxyiminomethylpyridinium)-3–(4–carbamoylpyridinium) propane dibromide) and K048 (1–(4–hydroxyiminomethylpyridinium)-4–(4–carbamoylpyridinium) butane dibromide) as the potential reactivators of AChE inhibited by cyclosarin. Their reactivation potencies were studied using standard in vitro reactivation test. Rat brain homogenate was used as the source of the enzyme. Oxime K033 seems to be the most potent reactivator of cyclosarin-inhibited AChE. Its reactivation potency is significantly higher than the efficacy of all other tested AChE reactivators.
The Detection of Urinal Neopterin Concentration Increases the Efficiency of Cervical Smear in the Diagnosis of Cervical Cancer
Authors: Bayram Merih , Boyunaga Hakan , Diribas Kemal , Ozer Guler , Akgul Emin Ozgur , Erbil M Kemal
Published: January 2019

Objective: To investigate the importance of urinal neopterin detection carried out together with cervical smear test, in the diagnosis of cervical cancer. Methods: In this study, urine samples were collected from randomly selected vulvovaginitis’ women who attended hospital and an independent control group. The participants were classified into two representative sample groups and a control group; 1st Group: 35 women with vulvovaginitis, whose ages varied fro 21 to 42 and who had no viral infections, and chronic inflammatory diseases and no smoking habit, but had complaints of vaginal discharge. 2nd Group: 25 women aged between 38–52 with no smoking habit, who applied to hospital with complaints of vaginal discharge, and cervical cancer was diagnosed for them as the result of biopsy, but no associated treatment of cancer had been carried out yet. 3rd Group: A control group with 30 women who aged between 20 and 28, with no smoking habit, and who had not taken part in sexual activities yet. They had no complaints from any type of tumors, and viral infections or chronic inflammatory diseases. Urinalysis was carried out for each group member’s urine sample in order to measure the level of neopterin. Neopterin was estimated by HPLC. Some statistical analyses were done by SPSS Windows 10.0 and were analyzed by Oneway Annova test. (p=0.000) Meaningful differences between the groups were determined by Post Hoc Tukey Test. Results: The mathematical results of neopterin levels for the groups revealed that the level of Group 1 was significantly higher than the level of Group 3 (p= 0.0001). When the levels of Group 1 and 2 were compared with each other, a significant difference was determined (p=0.004). Also, the difference in the levels of Group 2 and 3 was found to be significant (p=0.0001). Conclusions: If the results of this study were not confounded by another factor, then we can deduce that an increment in the level of neopterin may be considered as a risk factor that should warrant further investigation of cervical cancer. Then, the detection of urinal neopterin level as a noninvasive test done together with cervical smear can increase the sensitivity of smear test.
Convergence of Riemannian 4-manifolds with L2L^{2}-curvature bounds
Authors: Zergänge Norman
Published: January 2019

In this work we prove convergence results of sequences of Riemannian 4-manifolds with almost vanishing

L
2

{L^{2}}

-norm of a curvature tensor and a non-collapsing bound on the volume of small balls.
In Theorem 1.1 we consider a sequence of closed Riemannian 4-manifolds, whose

L
2

{L^{2}}

-norm of the Riemannian curvature tensor tends to zero.
Under the assumption of a uniform non-collapsing bound and a uniform diameter bound, we prove that there exists a subsequence that converges with respect to the Gromov–Hausdorff topology to a flat manifold.
In Theorem 1.2 we consider a sequence of closed Riemannian 4-manifolds, whose

L
2

{L^{2}}

-norm of the Riemannian curvature tensor is uniformly bounded from above, and whose

L
2

{L^{2}}

-norm of the traceless Ricci-tensor tends to zero.
Here, under the assumption of a uniform non-collapsing bound, which is very close to the Euclidean situation, and a uniform diameter bound, we show that there exists a subsequence which converges in the Gromov–Hausdorff sense to an Einstein manifold.
In order to prove Theorem 1.1 and Theorem 1.2, we use a smoothing technique, which is called

L
2

{L^{2}}

-curvature flow.
This method was introduced by Jeffrey Streets.
In particular, we use his “tubular averaging technique” in order to prove distance estimates of the

L
2

{L^{2}}

-curvature flow, which only depend on significant geometric bounds.
This is the content of Theorem 1.3.
On the monotonicity of the principal frequency of the p-Laplacian
Authors: Bocea Marian , Mihăilescu Mihai
Published: January 2019

For any fixed integer

D
>
1

{D>1}

we show that there exists

M
∈

[

e

-
1

,
1
]

{M\in[e^{-1},1]}

such that
for any open, bounded, convex domain

Ω
⊂

ℝ
D

{\Omega\subset{\mathbb{R}}^{D}}

with smooth boundary for which the maximum of the distance function to the boundary
of Ω is less than or equal to M, the principal frequency of the p-Laplacian on Ω is an increasing function of p on

(
1
,
∞
)

{(1,\infty)}

. Moreover, for any real number

s
>
M

{s>M}

there exists an open, bounded, convex domain

Ω
⊂

ℝ
D

{\Omega\subset{\mathbb{R}}^{D}}

with smooth boundary which
has the maximum of the distance function to the boundary of Ω equal to s such that the principal frequency of the p-Laplacian is
not a monotone function of

p
∈

(
1
,
∞
)

{p\in(1,\infty)}

.
Quantum Kostka and the rank one problem for 𝔰𝔩2m
Authors: Hobson Natalie L. F.
Published: January 2019

We give necessary and sufficient conditions to specify vector bundles of conformal blocks for 𝔰𝔩2m
with rectangular weights which have ranks 0, 1, and larger than 1. We show that the first Chern classes of such rank one bundles determine a finitely generated subcone of the nef cone.
Is a complete, reduced set necessarily of constant width?
Authors: Brandenberg René , Merino Bernardo González , Jahn Thomas , Martini Horst
Published: January 2019

Is it true that a convex body K being complete and reduced with respect to some gauge body C is necessarily of constant width, i.e. does it satisfy K − K = ρ(C − C) for some ρ > 0? We prove this implication for several cases including the following: if K is a simplex or if K contains a smooth extreme point, then the implication holds. Moreover, we derive several new results on perfect norms.
Superforms, tropical cohomology, and Poincaré duality
Authors: Jell Philipp , Shaw Kristin , Smacka Jascha
Published: January 2019

We establish a canonical isomorphism between two bigraded cohomology theories for polyhedral spaces: Dolbeault cohomology of superforms and tropical cohomology. Furthermore, we prove Poincaré duality for cohomology of tropical manifolds, which are polyhedral spaces locally given by Bergman fans of matroids.
Nonlinear Scalar Field Equations with L
2 Constraint: Mountain Pass and Symmetric Mountain Pass Approaches
Authors: Hirata Jun , Tanaka Kazunaga
Published: January 2019

We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in

ℝ
N

{\mathbb{R}^{N}}

(

N
≥
2

{N\geq 2}

):

${(*)_{m}}$

{

-

Δ
⁢
u

=

g
⁢

(
u
)

-

μ
⁢
u

 

in 
⁢

ℝ
N

,

∥
u
∥

L
2

⁢

(

ℝ
N

)

2

=
m

,

u
∈

H
1

⁢

(

ℝ
N

)

,

\displaystyle\begin{cases}-\Delta u=g(u)-\mu u\quad\text{in }\mathbb{R}^{N},% \cr\lVert u\rVert_{L^{2}(\mathbb{R}^{N})}^{2}=m,\cr u\in H^{1}(\mathbb{R}^{N})% ,\end{cases}

where

g
⁢

(
ξ
)

∈

C
⁢

(
ℝ
,
ℝ
)

{g(\xi)\in C(\mathbb{R},\mathbb{R})}

,

m
>
0

{m>0}

is a given constant and

μ
∈
ℝ

{\mu\in\mathbb{R}}

is a Lagrange multiplier. We introduce a new approach using a Lagrange formulation of problem

(
*
)

m

{(*)_{m}}

. We develop a new deformation argument under a new version of the Palais–Smale condition. For a general class of nonlinearities related to [H. Berestycki and P.-L. Lions, Nonlinear scalar field equations. I: Existence of a ground state, Arch. Ration. Mech. Anal. 82 (1983), no. 4, 313–345], [H. Berestycki and P.-L. Lions, Nonlinear scalar field equations. II. Existence of infinitely many solutions, Arch. Ration. Mech. Anal. 82 (1983), no. 4, 347–375], [J. Hirata, N. Ikoma and K. Tanaka, Nonlinear scalar field equations in

ℝ
N

{\mathbb{R}^{N}}

: Mountain pass and symmetric mountain pass approaches, Topol. Methods Nonlinear Anal. 35 (2010), no. 2, 253–276], it enables us to apply minimax argument for

L
2

{L^{2}}

constraint problems and we show the existence of infinitely many solutions as well as mountain pass characterization of a minimizing solution of the problem

inf
⁡

{

∫

ℝ
N

1
2

⁢

|

∇
⁡
u

|

2

-

G
⁢

(
u
)

⁢
d
⁢
x

:

∥
u
∥

L
2

⁢

(

ℝ
N

)

2

=
m

}

,

G
⁢

(
ξ
)

=

∫
0
ξ

g
⁢

(
τ
)

⁢

𝑑
τ

.

\inf\Bigg{\{}\int_{\mathbb{R}^{N}}{1\over 2}|{\nabla u}|^{2}-G(u)\,dx:\lVert u% \rVert_{L^{2}(\mathbb{R}^{N})}^{2}=m\Bigg{\}},\quad G(\xi)=\int_{0}^{\xi}g(% \tau)\,d\tau.
Multiplicative convolution of real asymmetric and real anti-symmetric matrices
Authors: Kieburg Mario , Forrester Peter J. , Ipsen Jesper R.
Published: January 2019

The singular values of products of standard complex Gaussian random matrices, or sub-blocks of Haar distributed unitary matrices, have the property that their probability distribution has an explicit, structured form referred to as a polynomial ensemble.
It is furthermore the case that the corresponding bi-orthogonal system can be determined in terms of Meijer G-functions, and the correlation kernel given as an explicit double contour integral.
It has recently been shown that the Hermitised product {X_{M}\cdots X_{2}X_{1}AX_{1}^{T}X_{2}^{T}\cdots X_{M}^{T}}, where each {X_{i}} is a standard real Gaussian matrix and A is real anti-symmetric, exhibits analogous properties.
Here we use the theory of spherical functions and transforms to present a theory which, for even dimensions, includes these properties of the latter product as a special case.
As an example we show that the theory also allows for a treatment of this class of Hermitised product when the {X_{i}} are chosen as sub-blocks of Haar distributed real orthogonal matrices.
Inversion of the Initial Value for a Time-Fractional Diffusion-Wave Equation by Boundary Data
Authors: Jiang Suzhen , Liao Kaifang , Wei Ting
Published: January 2019

In this study, we consider an inverse problem of recovering the initial value for a multi-dimensional time-fractional diffusion-wave equation.
By using some additional boundary measured data, the uniqueness of the inverse initial value problem is proven by the Laplace transformation and the analytic continuation technique.
The inverse problem is formulated to solve a Tikhonov-type optimization problem by using a finite-dimensional approximation.
We test four numerical examples in one-dimensional and two-dimensional cases for verifying the effectiveness of the proposed algorithm.
A New Probabilistic Interpretation of the Bramble–Hilbert Lemma
Authors: Chaskalovic Joël , Assous Franck
Published: January 2019

The aim of this paper is to provide new perspectives on relative finite element accuracy which is usually based on the asymptotic speed of convergence comparison when the mesh size h goes to zero. Starting from a geometrical reading of the error estimate due to the Bramble–Hilbert lemma, we derive two probability distributions that estimate the relative accuracy, considered as a random variable, between two Lagrange finite elements

P
k

{P_{k}}

and

P
m

{P_{m}}

(

k
<
m

{k<m}

). We establish mathematical properties of these probabilistic distributions and we get new insights which, among others, show that

P
k

{P_{k}}

or

P
m

{P_{m}}

is more likely accurate than the other, depending on the value of the mesh size h.
Structure theorems for singular minimal laminations
Authors: Meeks III William H. , Pérez Joaquín , Ros Antonio
Published: January 2019

We apply the local removable singularity theorem for
minimal laminations [W. H. Meeks III, J. Pérez and A. Ros,
Local removable singularity theorems for minimal laminations,
J. Differential Geom. 103 (2016), no. 2, 319–362] and the local picture theorem on
the scale of topology [W. H. Meeks III, J. Pérez and A. Ros,
The local picture theorem on the scale of topology,
J. Differential Geom. 109 (2018), no. 3, 509–565] to obtain two descriptive results
for certain possibly singular minimal laminations of

ℝ
3

{\mathbb{R}^{3}}

.
These two global structure theorems will be applied
in [W. H. Meeks III, J. Pérez and A. Ros,
Bounds on the topology and index of classical minimal surfaces,
preprint 2016] to obtain bounds on the index
and the number of ends of complete, embedded minimal surfaces of
fixed genus and finite topology in

ℝ
3

{\mathbb{R}^{3}}

, and in [W. H. Meeks III, J. Pérez and A. Ros,
The embedded Calabi–Yau conjectures for finite genus,
preprint 2018] to prove that a complete, embedded
minimal surface in

ℝ
3

{\mathbb{R}^{3}}

with finite genus and a countable number
of ends is proper.
Linear extension operators between spaces of Lipschitz maps and optimal transport
Authors: Ambrosio Luigi , Puglisi Daniele
Published: January 2019

Motivated by the notion of

K

{K\hskip-0.284528pt}

-gentle partition of unity introduced in [J. R. Lee and A. Naor,
Extending Lipschitz functions via random metric partitions,
Invent. Math. 160 (2005), no. 1, 59–95] and the notion of

K

{K\kern-0.284528pt}

-Lipschitz retract studied in [S. I. Ohta,
Extending Lipschitz and Hölder maps between metric spaces,
Positivity 13 (2009), no. 2, 407–425], we study a weaker notion related to
the Kantorovich–Rubinstein transport distance that we call

K

{K\kern-0.284528pt}

-random projection. We
show that

K

{K\kern-0.284528pt}

-random projections can still be used to provide linear extension operators for Lipschitz maps. We also prove that the existence of these
random projections is necessary and sufficient for the existence of weak

*

{{}^{*}}

continuous operators. Finally, we use this notion to characterize
the metric spaces

(
X
,
d
)

{(X,d)}

such that the free space

ℱ
⁢

(
X
)

{\mathcal{F}(X)}

has the bounded approximation propriety.
Hessenberg varieties and hyperplane arrangements
Authors: Abe Takuro , Horiguchi Tatsuya , Masuda Mikiya , Murai Satoshi , Sato Takashi
Published: January 2019

Given a semisimple complex linear algebraic group

G

{{G}}

and a lower ideal I in positive roots of G, three objects arise:
the ideal arrangement

𝒜
I

{\mathcal{A}_{I}}

, the regular nilpotent Hessenberg variety

Hess
⁡

(
N
,
I
)

{\operatorname{Hess}(N,I)}

, and the regular semisimple Hessenberg variety

Hess
⁡

(
S
,
I
)

{\operatorname{Hess}(S,I)}

.
We show that
a certain graded ring derived from the logarithmic derivation module of

𝒜
I

{\mathcal{A}_{I}}

is isomorphic to

H
*

⁢

(

Hess
⁡

(
N
,
I
)

)

{H^{*}(\operatorname{Hess}(N,I))}

and

H
*

⁢

(

Hess
⁡

(
S
,
I
)

)

W

{H^{*}(\operatorname{Hess}(S,I))^{W}}

,
the invariants in

H
*

⁢

(

Hess
⁡

(
S
,
I
)

)

{H^{*}(\operatorname{Hess}(S,I))}

under an action of the Weyl group W of G.
This isomorphism is shown
for general Lie type,
and generalizes Borel’s celebrated theorem showing that the coinvariant algebra of W is isomorphic to the cohomology ring of the flag variety

G
/
B

{G/B}

.

This surprising connection between Hessenberg varieties and hyperplane
arrangements enables us to produce a number of interesting
consequences. For instance, the surjectivity of the restriction map

H
*

⁢

(

G
/
B

)

→

H
*

⁢

(

Hess
⁡

(
N
,
I
)

)

{H^{*}(G/B)\to H^{*}(\operatorname{Hess}(N,I))}

announced by Dale
Peterson
and an affirmative answer to
a conjecture of Sommers and Tymoczko are immediate consequences. We also
give an explicit ring presentation of

H
*

⁢

(

Hess
⁡

(
N
,
I
)

)

{H^{*}(\operatorname{Hess}(N,I))}

in
types B, C, and G. Such a presentation was already known in type
A and when

Hess
⁡

(
N
,
I
)

{\operatorname{Hess}(N,I)}

is the Peterson variety. Moreover, we find
the volume polynomial of

Hess
⁡

(
N
,
I
)

{\operatorname{Hess}(N,I)}

and see that the hard
Lefschetz property and the Hodge–Riemann relations hold for

Hess
⁡

(
N
,
I
)

{\operatorname{Hess}(N,I)}

, despite the fact that it is a singular variety in general.
Kähler geometry of horosymmetric varieties, and application to Mabuchi’s K-energy functional
Authors: Delcroix Thibaut
Published: January 2019

We introduce a class of almost homogeneous varieties contained in the class of spherical
varieties and containing horospherical varieties as well as complete symmetric
varieties. We develop Kähler geometry on these varieties, with applications to
canonical metrics in mind, as a generalization of the Guillemin–Abreu–Donaldson
geometry of toric varieties. Namely we associate convex functions with Hermitian
metrics on line bundles, and express the curvature form in terms of this function,
as well as the corresponding Monge–Ampère volume form and scalar curvature.
We provide an expression for the Mabuchi functional and derive as an
application a combinatorial sufficient condition of properness similar to
one obtained by Li, Zhou and Zhu on
group compactifications. This finally translates to a sufficient criterion of
existence of constant scalar curvature Kähler metrics thanks to the recent work of
Chen and Cheng. It yields infinitely many new examples of explicit Kähler classes
admitting cscK metrics.
Dehn functions and Hölder extensions in asymptotic cones
Authors: Lytchak Alexander , Wenger Stefan , Young Robert
Published: January 2019

The Dehn function measures the area of minimal discs that fill closed curves in a space; it is an important invariant in analysis, geometry, and geometric group theory. There are several equivalent ways to define the Dehn function, varying according to the type of disc used. In this paper, we introduce a new definition of the Dehn function and use it to prove several theorems. First, we generalize the quasi-isometry invariance of the Dehn function to a broad class of spaces. Second, we prove Hölder extension properties for spaces with quadratic Dehn function and their asymptotic cones. Finally, we show that ultralimits and asymptotic cones of spaces with quadratic Dehn function also have quadratic Dehn function. The proofs of our results rely on recent existence and regularity results for area-minimizing Sobolev mappings in metric spaces.
Rational torsion of generalized Jacobians of modular and Drinfeld modular curves
Authors: Wei Fu-Tsun , Yamazaki Takao
Published: January 2019

We consider the generalized JacobianJ~{\widetilde{J}}of the modular curveX0⁢(N){X_{0}(N)}of levelNwith respect to a reduced divisor consisting of all cusps. SupposingNis square free, we explicitly determine the structure of theℚ{\mathbb{Q}}-rational torsion points onJ~{\widetilde{J}}up to 6-primary torsion. The result depicts a fuller picture than [18] where the case of prime power level was studied. We also obtain an analogous result for Drinfeld modular curves. Our proof relies on similar results for classical Jacobians due to Ohta, Papikian and the first author. We also discuss the Hecke action onJ~{\widetilde{J}}and its Eisenstein property.
Neuroprotective Effects of the Anthocleista Schweinfurthii Gilg. (Loganiaceae) Stem Bark Extract in Postmenopause-Like Model of Ovariectomized Wistar Rats
Authors: Chantal Ngoungoure Madeleine , Paul Désiré Dzeufiet Djomeni , Caude Bilanda Danielle , Yolande Sandrine Mengue Ngandena , Lohik Mbolang Nguegang , Francine Mballa Marguerite , Larissa Dzekui Tchuo , Mireille Kameni Poumeni , Pierre Kamtchouing
Published: January 2019

Background

Estrogen deficiency in postmenopausal period causes severe neuroendocrine changes in brain which influences memory and other nervous functions. Anthocleista schweinfurthii is used traditionally to treat female infertility and menopause related symptoms. This study was performed to investigate the potential neuroprotective effects of aqueous extract of Anthocleista schweinfurthii on brain in a postmenopause-like model of ovariectomized Wistar rats.

Methods

Thirty animals were sham-operated or ovariectomized (Ovx) 84 days after surgery, six groups of five rats each were daily treated orally during 28 days with: distilled water for groups 1 (sham-operated) and 2 (Ovx), estradiol valerate (group 3) and the three doses of extracts {groups 4, 5 and 6 (Ovx)}. Biochemical and histological evaluations focused on brain.

Results

Compared to sham-operated control, ovariectomy decreased total protein levels in brain (p<0.01) which was increased by plant extract at the dose of 300 mg/kg (p<0.05), underlying its anabolic properties. Ovariectomy significantly decreased magnesium levels in brain (p<0.001). Anthocleista schweinfurthii increased significantly magnesium levels (p<0.01), showing its capacity to act on synaptic conduction. Ovariectomy induced oxidative stress by increasing malondialdehyde levels (p<0.05) and decreasing reduced glutathione levels (p<0.05) in brain. The plant extract exhibited antioxidative activity by reducing malondialdehyde levels and increasing glutathione levels in brain. Damage in brain structure which was caused by ovariectomy disappeared following the treatment.

Conclusions

Results suggest that Anthocleista schweinfurthii may have neuroprotective effects in Ovx Wistar rats by increasing total protein, magnesium levels and reducing oxidative stress in brain.
Use of natural remedies to treat oral diseases among female patients in Al Madinah, western Saudi Arabia
Authors: Dar-Odeh Najla S. , Gasim Rafal A. , Binsaad Sara M , Abu-Hammad Shaden , Abu-Hammad Osama A
Published: January 2019

Background

The study aimed to investigate natural remedies use (NRU) for oral diseases among female patients.

Methods

Dental patients attending the female section of Taibah University Dental Hospital were invited to complete an online questionnaire which explored demographic data, and pattern of NRU for oral diseases.

Results

A total of 540 patients participated in the survey. A total of 232 patients (43%) used natural remedies to treat oral diseases. The most commonly cited reasons for NRU were financial reasons (n=79, 34.1%). The practice had a statistically significant association with older participants (p=0.003), and those working as employees (p=0.031). Most of the natural remedies used (n=17) were herbal, with cloves (71.1%) and miswak (26.7%) being the most frequently reported. Acute dental pain (n=157, 67.7%) and halitosis (n= 51, 22%) were the most frequently cited oral conditions associated with NRU. A percentage of 87.1% of patients using natural remedies (n=202) perceived improvement of symptoms upon use of natural remedies, however, 2.2% (n=5) reported complications.

Conclusions

Substantial proportion of patients use natural remedies to treat their oral disease. Patients were mostly satisfied with natural remedies in terms of effectiveness and lack of complications.
Phytochemical analysis, cytotoxic and antioxidant activities of Myrtus communis essential oil from Morocco
Authors: Harassi Younes , Tilaoui Mounir , Idir Abderrazak , Frédéric Jullien , Baudino Sylvie , Ajouaoi Sana , Mouse Hassan Ait , Zyad Abdelmajid
Published: January 2019

Background

Myrtus communis L. is an aromatic evergreen plant common in Morocco. In addition to its culinary uses, it has been used medicinally as a disinfectant, an antiseptic or as a hypoglycemic agent. However, its cytotoxic activity has not been well investigated so far. The current study describes the chemical composition, cytotoxic and antioxidant activities of Myrtus communis L essential oil obtained from different regions of Morocco.

Methods

Myrtus communis essential oils were obtained by hydrodistillation, and analyzed by gas chromatography coupled with mass spectrometry. Cytotoxic activity was evaluated in murine mastocytoma P815 and MCF-7 breast cancer cells, using the MTT assay. In addition, DNA fragmentation was assessed by gel electrophoresis. The antioxidant effect was determined by measuring bleaching of β-carotene with the linoleic acid and the DPPH radical scavenging methods.

Results

GC-MS analysis showed high amounts of methyl eugenol (18.7%), α-terpineol (15.5%) and geranyl acetate (11.64%) in essential oil from the Benslimane region. In contrast, essential oil from Ouazzane was particularly rich in 1,8-cineole (36.3%). The cytotoxicity results showed that MCF-7 cells were more sensitive than P815 cells to the essential oils from Ouazzane and Benslimane regions with IC50 values of 4 and 6.25 µg/mL, respectively. Moreover, this cytotoxicity was partly associated with DNA fragmentation, which is one of the characteristics of apoptosis. The tested essential oils did not show strong antioxidant activity.

Conclusions

Myrtus communis L. essential oil exhibits a weak antioxidant effect, but induced remarkable cytotoxic activity by a mechanism related to apoptosis, suggesting a possible application of the bioactive compounds as natural anticancer compounds.
Evaluating the effect of lifestyle education based on peer model on anxiety in patients with acute myocardial infarction
Authors: Mohammadpourhodki Reza , Bagheri Hosein , Basirinezhad Mohammad Hasan , Ramzani Hosein , Keramati Maryam
Published: January 2019

Background

Anxiety in patients with myocardial infarction (MI) which has a very negative effect on the prognosis of their disease and their physical and mental health. We performed this study in order to find the impact of a peer based education (PE) on anxiety in patients with MI.

Methods

This was a randomized clinical trial study. The study participants included 60 patient with MI, who were randomly divided into two groups. The first group received routine education and the other one received PE. We assessed anxiety before and 30 days after the intervention through a valid questionnaires. Data were analyzed by independent sample t-test, two-way ANOVA and the Bonferroni test.

Results

The majority of samples were male, married, self-employer, and living in city. After 30 days intervention the anxiety score was significantly lower in the PE group compare to the control group.

Conclusion

Our findings indicated that the implication of PE as an educational element in decreasing anxiety score and can be considered as a method for continuing of care, and could as well as be a good approach for other patients.
Effects of dietary supplementations and herbs on migraine – a systematic review
Authors: Rehman Tayyeba , Ahmad Saeed , Fatima Qindeel
Published: January 2019

Background

Migraine is a disabling disease and conventional treatment has many side effects. Dietary supplements and various herbs have reported valuable effects on migraine.

Aim

The present study systematically review the effects of these dietary supplements and herbs on migraine.

Methods

The literature search was done on electronic databases PubMed, Google Scholar and Science direct (2005–2015). The quality of articles was assessed through a criteria list of methodological quality assessment of randomized controlled trials (RCTs). The papers got C50 points considered to be of good quality methodology. The maximum score was 100.

Results

Fourteen RCTs on migraine were included in this review. The range of quality score varied from 37 to 65 points.

Conclusion

Various RCTs suggested that dietary and vitamin supplementation and different herbs might be effective in treatment of migraine. Evaluated RCTs have various methodological shortcomings. So, a firm conclusion can’t be made for the efficacy of dietary supplementation and herbs in the treatment of migraine.
On a theorem of Avez
Authors: Elder Murray , Rogers Cameron
Published: January 2019

For each symmetric, aperiodic probability measure μ on a finitely generated groupG, we define a subsetAμ{A_{\mu}}consisting of group elementsgfor which the limit of the ratioμ∗n⁢(g)/μ∗n⁢(e){{\mu^{\ast n}(g)}/{\mu^{\ast n}(e)}}tends to 1. We prove thatAμ{A_{\mu}}is a subgroup, is amenable, contains every finite normal subgroup, andG=Aμ{G=A_{\mu}}if and only ifGis amenable. For non-amenable groups we show thatAμ{A_{\mu}}is not always a normal subgroup and can depend on the measure. We formulate some conjectures relatingAμ{A_{\mu}}to the amenable radical.
Groups whose Chermak–Delgado lattice is a quasi-antichain
Authors: An Lijian
Published: January 2019

A quasi-antichain is a lattice consisting of a maximum, a minimum, and the atoms of the lattice.
The width of a quasi-antichain is the number of atoms.
For a positive integer

w
≥
3

{w\geq 3}

, a quasi-antichain of width w is denoted by

ℳ
w

{\mathcal{M}_{w}}

.
In [B. Brewster, P. Hauck and E. Wilcox,
Quasi-antichain Chermak–Delgado lattice of finite groups,
Arch. Math. 103 2014, 4, 301–311],
it is proved that

ℳ
w

{\mathcal{M}_{w}}

can be the Chermak–Delgado lattice of a finite group if and only if

w
=

1
+

p
a

{w=1+p^{a}}

for some positive integer a and some prime p.
Let t be the number of abelian atoms in

𝒞
⁢
𝒟
⁢

(
G
)

{\mathcal{CD}(G)}

.
In this paper, we completely answer the following question: which values of t are possible in quasi-antichain Chermak–Delgado lattices?
(3, 𝑞, 𝑟)-generations of Fischer's sporadic group Fi′24
Authors: Ali Faryad , Ibrahim Mohammed Ali Faya , Woldar Andrew
Published: January 2019

A group G is said to be

(
l
,
m
,
n
)

{(l,m,n)}

-generated if it can be generated by two suitable elements x and y such that

o
⁢

(
x
)

=
l

{o(x)=l}

,

o
⁢

(
y
)

=
m

{o(y)=m}

and

o
⁢

(

x
⁢
y

)

=
n

{o(xy)=n}

.
In [J. Moori,

(
p
,
q
,
r
)

{(p,q,r)}

-generations for the Janko groups

J
1

{J_{1}}

and

J
2

{J_{2}}

,
Nova J. Algebra Geom. 2 1993, 3, 277–285],
J. Moori posed the problem of finding all triples of distinct primes

(
p
,
q
,
r
)

{(p,q,r)}

for which a finite non-abelian simple group is

(
p
,
q
,
r
)

{(p,q,r)}

-generated.
In the present article, we partially answer this question for Fischer’s largest sporadic simple group

Fi
24
′

{\mathrm{Fi}_{24}^{\prime}}

by determining all

(
3
,
q
,
r
)

{(3,q,r)}

-generations, where q and r are prime divisors of

|

Fi
24
′

|

{\lvert\mathrm{Fi}_{24}^{\prime}\rvert}

with

3
<
q
<
r

{3<q<r}

.
The Schur multiplier of groups of order 𝑝5
Authors: Hatui Sumana , Kakkar Vipul , Yadav Manoj K.
Published: January 2019

In this article, we compute the Schur multiplier, non-abelian tensor square and exterior square of non-abelian p-groups of order

p
5

{p^{5}}

. As an application, we determine the capability of groups of order

p
5

{p^{5}}

.
On the lifting of the Dade group
Authors: Lassueur Caroline , Thévenaz Jacques
Published: January 2019

For the group of endo-permutation modules of a finite p-group, there is a surjective reduction homomorphism from a complete discrete valuation ring of characteristic 0 to its residue field of characteristic p.
We prove that this reduction map always has a section which is a group homomorphism.
On a conjecture by Haipeng Qu
Authors: Tărnăuceanu Marius
Published: January 2019

In this note, we prove that

D
8

×

C
2

n
-
3

{D_{8}\times C_{2}^{n-3}}

is the non-elementary abelian 2-group of order

2
n

{2^{n}}

,

n
≥
3

{n\geq 3}

,
whose number of subgroups of possible orders is maximal. This solves a conjecture by Haipeng Qu. A formula
for counting the subgroups of an (almost) extraspecial 2-group is also presented.
Inverse problem for one-dimensional wave equation with matrix potential
Authors: Khanfer Ammar , Bukhgeim Alexander
Published: January 2019

We prove a global uniqueness theorem of reconstruction of a matrix-potential

a
⁢

(
x
,
t
)

{a(x,t)}

of one-dimensional wave equation

□
⁢
u

+

a
⁢
u

=
0

{\square u+au=0}

,

x
>
0

,

t
>
0

{x>0,t>0}

,

□
=

∂
t
2

-

∂
x
2

{\square=\partial_{t}^{2}-\partial_{x}^{2}}

with
zero Cauchy data for

t
=
0

{t=0}

and given Cauchy data for

x
=
0

{x=0}

,

u
⁢

(
0
,
t
)

=
0

{u(0,t)=0}

,

u
x

⁢

(
0
,
t
)

=

g
⁢

(
t
)

{u_{x}(0,t)=g(t)}

. Here

u
,
a
,
f

{u,a,f}

, and g are

n
×
n

{n\times n}

smooth real matrices,

det
⁡

(

f
⁢

(
0
)

)

≠
0

{\det(f(0))\neq 0}

, and the matrix

∂
t

⁡
a

{\partial_{t}a}

is known.
A note on prime divisors of polynomials P(Tk
); k ≥ 1
Authors: Legrand François
Published: January 2019

Let F be a number field, OF
the integral closure of ℤ in F, and P(T) ∈ OF
[T] a monic separable polynomial such that P(0) ≠ 0 and P(1) ≠ 0. We give precise sufficient conditions on a given positive integer k for the following condition to hold: there exist infinitely many non-zero prime ideals 𝓟 of OF
such that the reduction modulo 𝓟 of P(T) has a root in the residue field OF
/𝓟, but the reduction modulo 𝓟 of P(Tk
) has no root in OF
/𝓟. This makes a result from a previous paper (motivated by a problem in field arithmetic) asserting that there exist (infinitely many) such integers k more precise.
Purcell factor and local intensity enhancement in surface-enhanced Raman scattering
Authors: Maslovski Stanislav I. , Simovski Constantin R.
Published: January 2019

We prove that, at any point of any reciprocal structure, the local field intensity enhancement, which is averaged over the incident wave polarizations and the incidence directions, exactly coincides with the radiative part of the Purcell factor, which is averaged over the orientations of the emitter. This result is important for gaining a better understanding of the electromagnetic Raman gain in the surface-enhanced Raman scattering and for the further development of this technique.
Voice and bodily deixis as manifestation of performativity in written texts
Authors: Proskurin Sergey , Feshchenko Vladimir
Published: January 2019

This article deals with voice and bodily deixis as manifestations of performativity in written texts. A speech act of origin presents as both vocal and performative events. Ritual matrixes of culture contain performative complexes, as suggested by Austin. Such performative nuclei are neither true nor false, that is, their negation cannot be logically inferred from true premises. The term deixis describes the performative moment of the utterance, its active and transformative force. The first embodied deictic utterance in Western history would be the biblical phrase “And the word made flesh.” It is the first mythopoetical performative denoting the bodily incarnation of logos. In the article, the term bodily deixis is considered against the background of experimental poetry of E.E. Cummings.
An explicit formula for the smoother weights of the Hodrick–Prescott filter
Authors: Yamada Hiroshi , Jahra Fatima Tuj
Published: January 2019

By applying the Sherman–Morrison–Woodbury (SMW) formula and a discrete cosine transformation matrix, De Jong and Sakarya [De Jong, R. M., and N. Sakarya. 2016. “The Econometrics of the Hodrick–Prescott Filter.” Review of Economics and Statistics 98 (2): 310–317] recently derived an explicit formula for the smoother weights of the Hodrick–Prescott filter. More recently, by applying the SMW formula and the spectral decomposition of a symmetric tridiagonal Toeplitz matrix, Cornea-Madeira [Cornea-Madeira, A. 2017. “The Explicit Formula for the Hodrick–Prescott Filter in Finite Sample.” Review of Economics and Statistics 99: 314–318] provided a simpler formula. This paper provides an alternative simpler formula for it and explains the reason why our approach leads to a simpler formula.
Investigating the efficiency of single-walled and multi-walled carbon nanotubes in removal of penicillin G from aqueous solutions
Authors: Chavoshan Soheila , Khodadadi Maryam , Nasseh Negin , Hossein Panahi Ayat , Hosseinnejad Aliyeh
Published: January 2019

Background: Drugs, especially antibiotics, are one of the serious problems of modern life and the main pollution sources of the environment, especially in the last decade, which are harmful to human health and environment. The aim of this study was to investigate the removal of penicillin G from aqueous solutions using single-walled and multi-walled carbon nanotubes. Methods: In this study, the effect of different parameters including pH (3, 5, 7, 9, and 11), initial concentration of pollutant (50, 100, 150, and 200 mg/l), absorbent dose (0.25, 0.5, 0.75, and 1 g/L), mixing speed (0, 100, 200, and 300 rpm), and temperature (10, 15, 25, 35, 45°C) were investigated. The Langmuir, Freundlich, Temkin, BET, Dubinin-Radushkevich isotherms and adsorption kinetics of the first- and second-order equations were determined. Results: The results showed that the efficiency of single-walled and multi-walled carbon nanotubes in the removal of penicillin G was 68.25% and 56.37%, respectively, and adsorption capacity of the nanotubes was 141 mg/g and 119 mg/g at initial concentration of 50 mg/l and pH=5 with adsorption dose of 0.8 g/L for 105 minutes at 300 rpm and temperature of 10°C from aqueous solutions. Also, it was revealed that the adsorption process had the highest correlation with the Langmuir model and secondorder kinetics, and the maximum adsorption capacity based on Langmuir model was 373.80 mg/g. Conclusion: According to the results, it was found that single-walled and multi-walled carbon nanotubes can be used as effective absorbents in the removal of penicillin G from aqueous solutions.