bluuebunny/crossref_metadata_2025_split huggingface dataset:
Convergence of the Chern–Moser–Beloshapka normal forms
Authors: Lamel Bernhard , Stolovitch Laurent 
Published: May 2019

Abstract
In this article, we give a normal form for real-analytic, Levi-nondegenerate submanifolds of

ℂ
N

{\mathbb{C}^{N}}

of codimension

d
≥
1

{d\geq 1}

under the action of formal biholomorphisms. We find a very
general sufficient condition on the formal normal form that ensures that the normalizing transformation to this normal form is holomorphic. In
the case

d
=
1

{d=1}

our methods in particular allow us to obtain a new and direct proof of the convergence of the Chern–Moser normal form.
Further refinements of generalized numerical radius inequalities for Hilbert space operators
Authors: Hajmohamadi Monire , Lashkaripour Rahmatollah , Bakherad Mojtaba 
Published: May 2019

Abstract
In this paper, we show some refinements of generalized numerical radius inequalities involving the Young and Heinz inequality. In particular, we present

w
p
p

⁢

(

A
1
*

⁢

T
1

⁢

B
1

,
…
,

A
n
*

⁢

T
n

⁢

B
n

)

≤

n

1
-

1
r

2

1
r

⁢

∥

∑

i
=
1

n

[

B
i
*

⁢

f
2

⁢

(

|

T
i

|

)

⁢

B
i

]

r
⁢
p

+

[

A
i
*

⁢

g
2

⁢

(

|

T
i
*

|

)

⁢

A
i

]

r
⁢
p

∥

1
r

-

inf

∥
x
∥

=
1

⁡

η
⁢

(
x
)

,

w_{p}^{p}(A_{1}^{*}T_{1}B_{1},\dots,A_{n}^{*}T_{n}B_{n})\leq\frac{n^{1-\frac{1%
}{r}}}{2^{\frac{1}{r}}}\bigg{\|}\sum_{i=1}^{n}[B_{i}^{*}f^{2}(|T_{i}|)B_{i}]^{%
rp}+[A_{i}^{*}g^{2}(|T_{i}^{*}|)A_{i}]^{rp}\bigg{\|}^{\frac{1}{r}}-\inf_{\|x\|%
=1}\eta(x),

where

T
i

,

A
i

,

B
i

∈

𝔹
⁢

(
ℋ
)

{T_{i},A_{i},B_{i}\in\mathbb{B}(\mathscr{H})}

(

1
≤
i
≤
n

)

{(1\leq i\leq n)}

, f and g are nonnegative continuous functions on

[
0
,
∞
)

{[0,\infty)}

satisfying

f
⁢

(
t
)

⁢
g
⁢

(
t
)

=
t

{f(t)g(t)=t}

for all

t
∈

[
0
,
∞
)

{t\in[0,\infty)}

,

p
,
r

≥
1

{p,r\geq 1}

,

N
∈
ℕ

{N\in\mathbb{N}}

, and

η

(
x
)

=

1
2

∑

i
=
1

n

∑

j
=
1

N

(

〈

(

A
i
*

⁢

g
2

⁢

(

|

T
i
*

|

)

⁢

A
i

)

p

⁢
x

,
x
〉

2

j
-
1

-

k
j

⁢

〈

(

B
i
*

⁢

f
2

⁢

(

|

T
i

|

)

⁢

B
i

)

p

⁢
x

,
x
〉

k
j

2
j

\displaystyle\eta(x)=\frac{1}{2}\sum_{i=1}^{n}\sum_{j=1}^{N}\Bigl{(}\sqrt[2^{j%
}]{\big{\langle}(A_{i}^{*}g^{2}(|T_{i}^{*}|)A_{i})^{p}x,x\big{\rangle}^{2^{j-1%
}-k_{j}}\big{\langle}(B_{i}^{*}f^{2}(|T_{i}|)B_{i})^{p}x,x\big{\rangle}^{k_{j}}}

-

〈

(

B
i
*

⁢

f
2

⁢

(

|

T
i

|

)

⁢

B
i

)

p

⁢
x

,
x
〉

k
j

+
1

⁢

〈

(

A
i
*

⁢

g
2

⁢

(

|

T
i
*

|

)

⁢

A
i

)

p

⁢
x

,
x
〉

2

j
-
1

-

k
j

-
1

2
j

)

2

.

\displaystyle -\sqrt[2^{j}]{\big{\langle}(B_{i}^{*}f^{2}(|T_{i}|)B_{i}%
)^{p}x,x\big{\rangle}^{k_{j}+1}\big{\langle}(A_{i}^{*}g^{2}(|T_{i}^{*}|)A_{i})%
^{p}x,x\big{\rangle}^{2^{j-1}-k_{j}-1}}\,\Big{)}^{2}.
Zassenhaus conjecture on torsion units holds for SL(2, 𝑝) and SL(2, 𝑝2)
Authors: del Río Ángel , Serrano Mariano 
Published: May 2019

Abstract
H. J. Zassenhaus conjectured that any unit of finite order and augmentation 1 in the integral group ring

ℤ
⁢
G

{\mathbb{Z}G}

of a finite group G is conjugate in the rational group algebra

ℚ
⁢
G

{\mathbb{Q}G}

to an element of G.
We prove the Zassenhaus conjecture for the groups

SL
⁢

(
2
,
p
)

{\mathrm{SL}(2,p)}

and

SL
⁢

(
2
,

p
2

)

{\mathrm{SL}(2,p^{2})}

with p a prime number.
This is the first infinite family of non-solvable groups for which the Zassenhaus conjecture has been proved.
We also prove that if

G
=

SL
⁢

(
2
,

p
f

)

{G=\mathrm{SL}(2,p^{f})}

, with f arbitrary and u is a torsion unit of

ℤ
⁢
G

{\mathbb{Z}G}

with augmentation 1 and order coprime with p, then u is conjugate in

ℚ
⁢
G

{\mathbb{Q}G}

to an element of G.
By known results, this reduces the proof of the Zassenhaus conjecture for these groups to proving that every unit of

ℤ
⁢
G

{\mathbb{Z}G}

of order a multiple of p and augmentation 1 has order actually equal to p.
On the indices of maximal subgroups and the normal primary coverings of finite groups
Authors: Fumagalli Francesco 
Published: May 2019

Abstract
We define and study two arithmetic functions

γ
0

{\gamma_{0}}

and η, having domain the set of all finite groups whose orders are not prime powers.
Namely, if G is such a group, we call

γ
0

⁢

(
G
)

{\gamma_{0}(G)}

the normal primary covering number of G; this is defined as the smallest positive integer k such that the set of primary elements of G is covered by k conjugacy classes of proper (pairwise non-conjugate) subgroups of G.
Also we set

η
⁢

(
G
)

{\eta(G)}

, the indices covering number of G, to be the smallest positive integer h such that G has h proper subgroups having coprime indices.
This second function is an upper bound for

γ
0

{\gamma_{0}}

, and it is much friendlier.
The study of these functions for arbitrary finite groups reduces immediately to the non-abelian simple ones.
We therefore apply CFSG to obtain bounds and interesting properties for

γ
0

{\gamma_{0}}

and η.
Open questions on these functions are reformulated in pure number-theoretical terms and lead to problems concerning the distributions and the representations of prime numbers.
On the sample-mean method for computing hyper-volumes
Authors: Rabiei Nima , Saleeby Elias G. 
Published: May 2019

AbstractEstimating hyper-volumes of convex and non-convex sets are of interest in a number of areas. In this article we develop further a simple geometric Monte Carlo method, known also as the sample-mean method, which transforms the domain to an equivalent hyper-sphere with the same volume. We first examine the performance of the method to compute the volumes of star-convex unit balls and show that it gives accurate estimates of their volumes. We then examine the use of this method for computing the volumes of nonstar-shaped domains. In particular, we develop two algorithms, which couple the sample-mean method with algebraic and geometric techniques, to generate and compute the volumes of low-dimensional stability domains in parameter space.
Conditional excess risk measures and multivariate regular variation
Authors: Das Bikramjit , Fasen-Hartmann Vicky 
Published: May 2019

Abstract
Conditional excess risk measures like Marginal Expected Shortfall and Marginal Mean Excess
are designed to aid in quantifying systemic risk or risk contagion in a multivariate setting. In the context of insurance, social networks, and telecommunication, risk factors often tend to be heavy-tailed and thus frequently studied under the paradigm of regular variation. We show that regular variation on different subspaces of the Euclidean space leads to these risk measures exhibiting distinct asymptotic behavior.
Furthermore, we elicit connections between regular variation on these subspaces and the behavior of tail copula parameters extending previous work and providing a broad framework for studying such risk measures under multivariate regular variation. We use a variety of examples to exhibit where such computations are practically applicable.
Indoor Study on Road Crack Monitoring Based on Polymer Optical Fiber Sensing Technology
Authors: Cui Shengchao , Zhang Jiupeng , Pei Jianzhong , Li Rui , Chen Xu , Guo Dong , Zhang Honglinag 
Published: May 2019

Abstract
The polymer optical fiber sensor was applied to develop the crack modulator in order to monitor the crack transmission in asphalt pavement. The plate specimens were prepared to simulate the asphalt pavement with cracks by using the grooving method, and the developed crack modulator was then used to monitor the bending loss of the polymer optical fiber sensor for cracks with different angles and widths. The theoretical analysis results show that the optical fiber is bent to the S-shape at the crack position, and the smaller incident angle and bending radius generate the smaller output power and higher optical power loss. The Logistic model and the Gomperz model were used to describe the relationship between the crack parameters and the polymer optical loss value. The bending radius of the fiber and the optical loss increased gradually, while the optical power value decreased as the crack width increased. By comparing and analyzing the error and error rate of those two prediction models, the Gomperz model was more accurate in the prediction of pavement crack width.
A presentation of aids-related ophthalmic disease in a severely immunocompromised patient
Authors: Chetrit Sally 
Published: May 2019

Background: Human immunodeficiency virus (HIV) retinopathy is the most common ocular manifestation of the acquired immunodeficiency syndrome (AIDS), serving as an important marker for patients with significantly compromised immune status who are at risk for developing severe and visionthreatening ocular opportunistic infections. This case report describes a presentation of HIV retinopathy and cytomegalovirus (CMV) retinitis, and reviews the current management options.
Case Report: A 40-year-old black male presented for a comprehensive eye exam to rule out HIV-related ophthalmic disease. At his initial visit, a dilated fundus examination revealed HIV retinopathy of the left eye. Upon subsequent examinations and as his immune status diminished, the patient developed CMV retinitis of the right eye. The patient was treated successfully with a course of highly active antiretroviral therapy (HAART) and oral valgancyclovir.
Conclusion: CMV retinitis is the most common ocular opportunistic infection associated with AIDS. Treatment with systemic HAART and concomitant anti-CMV therapy leads to reconstitution of the immune system and regression of the retinitis.
Patient and practitioner compliance with silicone hydrogel and daily disposable lens replacement in Canada
Authors: Richter Doris , Dumbleton Kathy , Guthrie Sarah , Woods Craig , Jones Lyndon , Fonn Desmond 
Published: May 2019

Purpose: To assess current recommendations by optometrists for replacement frequency (RF) of silicone hydrogels (SH) and daily disposable (DD) contact lenses in Canada, determine rates of non-compliance with recommendations by both the optometrist and patient, and investigate reasons for non-compliance.
Methods: Survey packages were sent to optometrists in Canada who had agreed to participate. Patients completed survey questions regarding demographics and contact lens wearing patterns, including recommended and actual contact lens RF. Optometrists were asked to provide lens information and their recommendation for RF. Fifty-eight optometrists returned 654 surveys, of which 578 were eligible for analysis.
Results: Seventy percent of patients were female with a median age of 32 years. Lens type distribution was 18% DD, 35% two-week SH, and 47% one-month SH. Six percent were worn for extended wear. Daily wear median wearing time was 12 hours/day, a median of five days/week for DD, seven days/week for SH (two-week and one-month). Optometrists’ recommendations were non-compliant with the manufacturers’ recommended RF for 6% of DD, 35% of two week, and 2% of one-month patients. Patients were non-compliant with recommendations from both the manufacturer and optometrist for 12% of DD, 43% of two-week, and 31% of one-month lens wearers. The most common reason for non-compliance was forgetting which day to replace lenses. Fifty-six percent thought a reminder system would help with compliance. A higher proportion of compliant patients followed the RF because of confidence in their optometrist.
Conclusions: Optometrists generally recommended RFs consistent with manufacturers’ recommendations for DD and one-month SH lenses but often recommended longer intervals for two-week SH lenses. Patients were most compliant when wearing DD lenses and least compliant when wearing two-week SH lenses. Communication between the patient and optometrists concerning the risks of non-compliance, or initiating a reminder system might improve compliance.
Improved ways to screen for patients with Fabry disease, involving optometry in a multidisciplinary approach
Authors: Michaud Langis , Auray-Blais Christiane 
Published: May 2019

Purpose: Fabry disease is considered a rare disease, based on its prevalence. It is recognized, however, that there are many individuals aff ected who are unscreened. This article aims to demonstrate how optometrists can help to defi ne improved ways to screen patients aff ected by this rare metabolic disorder, in a multidisciplinary perspective.
Methods: A screening model, based on continuous education for optometrists was developed. Under this model, suspect patients identifi ed by optometrists are referred to Université de Montréal's vision clinic (EOUM) for further testing and assessment. Should ocular manifestations and/or case history prove relevant to these rare diseases, a urinary test is then performed to fi nd related biomarkers. When suspicions narrow to probable Fabry disease, the subjects are referred to metabolic disorder specialists for complete DNA testing and medical follow-up of their condition.
Results: Continuous education lectures were given across Quebec, reaching nearly 60% of the province’s optometrists. Sixteen months following the model's implementation, ten suspected patients were referred. Of these, two new Fabry patients were confi rmed, leading to the diagnosis of fi ve other relatives with the disease. Two additional persons, diagnosed as Fabry patients, but lost to medical follow-up for many years, were once again placed under the care of Fabry experts. To this point, because of optometric involvement, seven new patients of Fabry were diagnosed and two were brought back under experts care.
Conclusion: Continuous education lectures were given across Quebec, reaching near 60% of the province’s optometrists. Sixteen months following the model's implementation, ten suspected patients were referred. Of these, two new Fabry patients were confi rmed, leading to the diagnosis of fi ve other relatives with the disease. Two additional persons, diagnosed as Fabry patients, but lost to medical follow-up for many years, were once again placed under the care of Fabry experts. To this point, because of optometric involvement, seven new patients of Fabry were diagnosed and two were brought back under experts care.
Diagnosis and management of a full thickness macular hole
Authors: Fontaine Nicolas , Olivier Sébastien 
Published: May 2019

Background: First stage macular holes are not always easily identified without the use of medical imagery. Differential diagnosis from other macular conditions is possible with a keen eye and the use of a binocular fundus lens. However, the advent of optical coherence tomography facilitates accurate diagnosis.
Case Report: This report demonstrates a classical case of a full thickness macular hole. The clinical signs are not pathognomonic at first, but typical signs develop in the following weeks. The different stages of the disease are described, as well as current state of surgical treatment and possible outcomes.
Conclusions: Early diagnosis allows quick visual recovery. Nevertheless, this condition can be treated up to one year after occurrence with significant improvement of visual function.
Eye See Eye Learn L’avantage des examens complets de la vue chez les enfants d’âge préscolaire
Authors: Jones Deborah A , Chiarelli Catherine A , Robinson Barbara A , MacDonald Karen E 
Published: May 2019

Objectifs : Chez les enfants, les problèmes de vision non détectés peuvent entraîner une perte permanente de la vision, problème appelé amblyopie. La détection et le traitement précoces des causes de l’amblyopie peuvent éviter cette perte de vision. Cette communication vise à chercher des éléments probants démontrant que les examens complets de la vue au moment de l’entrée en prématernelle constituent un moyen efficace de repérer et de traiter rapidement les problèmes de vision.
Méthodes : Nous avons étudié des publications pertinentes critiquées par des pairs portant sur l’amblyopie et sur l’importance des examens complets de la vue. Les aspects précis étudiés comprennent la prévalence et les causes de l’amblyopie, l’effet des problèmes de vision sur le développement et l’éducation de l’enfant, l’effet de l’amblyopie ou du strabisme sur la qualité de vie et la rentabilité du traitement de l’amblyopie. Nous avons évalué aussi la validité de ces tests de dépistage comparativement à l’examen complet de la vue.
Résumé : L ’étude indique que sans examen complet de la vue, beaucoup de problèmes oculovisuels ne sont pas détectés à l’arrivée de l’enfant à l’école. S’ils ne sont pas corrigés, ces problèmes ont un effet négatif sur le développement, l’éducation et la qualité de vie de l’enfant. La baisse de la vue causée par l’amblyopie limite aussi les possibilités d’emploi futures et accroît le risque de déficience visuelle bilatérale chez l’adulte. Des méthodes d’examen très sensibles et spécifiques s’imposent pour repérer ces problèmes avec précision. Des études montrent que le traitement de l’amblyopie à un jeune âge constitue une des interventions les plus rentables en santé.
Conclusion : Les publications contiennent de bons éléments de preuve indiquant qu’un examen complet de la vue joue un rôle crucial dans la détection de tous les cas d’amblyopie. Il est possible de détecter et de traiter l’amblyopie et d’autres problèmes de vision à un jeune âge, ce qui améliore les résultats reliés à la vue, à la qualité de vie et à l’économie. Le programme Eye See Eye Learn offre « l'étalon-or » des soins oculovisuels.
Sulcoflex Piggyback Intraocular Lens Implantation For Correction Of Refractive Errors Following Cataract Surgery
Authors: Purba Mona , Mardinger Cynthia , Hibma Abby , Gimbel Howard V 
Published: May 2019

Purpose: To investigate the visual and refractive outcomes following implantation of a Sulcoflex intraocular lens (IOL) to correct pseudophakic refractive error.
Methods: This retrospective chart review included 14 pseudophakic eyes of 13 patients who underwent implantation of a Sulcoflex IOL. The Sulcoflex IOL is a piggyback IOL technique where a secondary, supplementary lens is implanted in the ciliary sulcus.
Results: Eleven eyes (78.6%) had a postoperative SE within 0.50 D of the targeted SE. Preoperative UDVA was 20/30 in 4 eyes (28.6%), and 20/40 or worse in 10 eyes (71.4%). Postoperative UDVA was 20/30 or better in all eyes, where half (50.0%) of eyes were 20/20 or better. The mean preoperative logMAR (0.50 ± 0.33) significantly improved to 0.06 ± 0.09, p<.01. There were no complications.
Conclusions. The significant improvement in UDVA and the precision in reaching the target refraction suggest that the Sulcoflex is a viable and successful treatment option for pseudophakic refractive error.
Early Primary Open-Angle Glaucoma
Authors: Lifferth Austin R. 
Published: May 2019

Glaucoma is the leading cause of irreversible blindness worldwide and is projected to affect more than 79.6 million people by 2020, over 10% of whom will be bilaterally blind.1
This multifactorial progressive optic neuropathy causes characteristic retinal nerve fiber layer damage that will eventually lead to associated glaucomatous visual field defects if left untreated. Unfortunately, these visual field defects are difficult for the patient to detect until more advanced stages and, as a result, early glaucoma is usually asymptomatic.2
This paper presents a case that is consistent with population studies that suggest that as many as half of people with glaucoma are unaware that they have the disease.3
Survey of Occupational Musculoskeletal Pain and Injury in Canadian Optometry
Authors: Uhlman Kathryn , Diaconita Vlad , Mao Alexander , Mather Rookaya 
Published: May 2019

Objective:
A growing concern in optometry is the incidence and prevalence of occupational musculoskeletal (MSK) pain and injury, with no studies assessing Canadian professionals. However, the risk of work-related MSK pain in optometry has become widely recognized by the profession and literature as having a negative impact on the health and careers of optometrists. The goal of this study was to quantify prevalence and location of MSK pain in Canadian optometrists and estimate practices that may be associated with MSK issues.
Methods:
A voluntary, internet-based survey (SurveyMonkey Inc., San Mateo, CA, United States) was distributed to all optometrists registered with the Canadian Association of Optometry (CAO). Survey questions were adapted from the literature to identify the prevalence and significance of work-related MSK issues.
Results:
One-hundred-twenty-one optometrists, with a response rate of 2.4%, and 169 ophthalmologists, with a response rate of 17% participated in a voluntary internet-based survey. When asked if they had experienced pain attributed to their work in the last 12 months, 61% of optometry responders said “yes”, compared to 50% of ophthalmology responders (p=0.06). Shoulder pain was reported in 41% of optometry responders, lower back pain in 37% and neck pain in 34%. This was compared to 28% (p=0.02), 36% (p=0.90) and 46% (p=0.04) respectively in ophthalmology responders. Optometry respondents most commonly attributed MSK pain to “performing the same task over and over”, “working in the same position” and “slit lamp exams”.
Conclusion:
Many of the eye-care responders in our study were impacted by work-related MSK pain. The prevalence, location and severity of pain were similar to findings in other literature. More research is needed to determine best practices for prevention and solution of MSK pain among eye-care professionals.
Variabilitas Hidrologis dan Dinamika Produksi Garam Pada Beragam Kondisi ENSO di Kabupaten Pati dan Rembang
Authors: Bramawanto Rikha , Ratnawati Herlina Ika , Supriyadi Supriyadi 
Published: May 2019

El Niño Southern Oscillation (ENSO) merupakan salah satu fenomena global yang terbukti mempengaruhi curah hujan dan sekaligus produksi garam di Indonesia. Kajian ini menggali informasi karakteristik variabilitas hidrologis pada beragam kejadian ENSO. Tujuannya untuk memperoleh gambaran kondisi optimum (maksimum dan minimum) hidrologis yang mendukung produksi garam. Dinamika produksi garam di Pati dan Rembang cenderung selaras dengan perubahan kejadian ENSO. Kondisi hidrologis optimum yang terjadi agar produksi garam dapat tetap berlangsung antara lain terdiri dari rata-rata SPL 28,3 - 28,5 ⁰C, rata-rata laju evaporasi 5,8 - 6,3 mm/hari, rata-rata laju presitipasi 0,45 - 4,5 mm/hari dan kadar salinitas 32,7- 32,8 PSU. Dalam kajian ini kondisi maksimum terjadi saat El Niño kuat tahun 2015 berlangsung, dan kondisi minimum terjadi saat ENSO netral tahun 2014 berlangsung. Nilai rata-rata SPL, laju evaporasi dan laju presitipasi yang melebihi kondisi minimum serta salinitas yang kurang dari kondisi miminum akan berpotensi mengakibatkan gagal panen garam seperti tahun 2016. Informasi ini bermanfaat bagi petambak garam untuk menekan risiko kerugian akibat fase ekstrim dari ENSO.
The Florentine Quattrocento and the art historiography in Aby Warburg
Authors: Vieira Neto Serzenando Alves 
Published: May 2019

The work of Aby Warburg (1866-1929), dedicated above all to the great theme of the survival of the classical tradition in the European Renaissance, has gained notoriety in recent decades, including in Brazil. This article seeks an immersion in the work of this historian, circumscribing the discussion, in particular, to the thesis on Botticelli and some successive studies on the theme of the Florentine Quattrocento. We present a reading guided by an effort of contextualization, in which it is sought to identify Warburg’s main historiographical references, demonstrating his latent interlocution with the art historiography produced in the German-speaking world. In this sense, this article sustains that Warburg was clearly aligned with the tradition of “art history as cultural history”, present in the work of authors such as Jacob Burckhardt, Anton Springer and Hubert Janitschek.