bluuebunny/crossref_metadata_2025_split huggingface dataset:
Characterization of hereditarily reversible posets
Authors: Kukieła Michał 
Published: August 2016

Abstract
A poset P is called reversible if every order preserving bijective self map of P is an order automorphism. P is called hereditarily reversible if every subposet of P is reversible. We give a complete characterization of hereditarily reversible posets in terms of forbidden subsets. A similar result is stated also for preordered sets. As a corollary we extend the list of known examples of hereditarily reversible topological spaces.
Diophantine equation X
4+Y
4 = 2(U
4 + V
4)
Authors: Izadi Farzali , Nabardi Kamran 
Published: August 2016

Abstract
In this paper, the theory of elliptic curves is used for finding the solutions of the quartic Diophantine equation X
4+Y
4 = 2(U
4 + V
4).
On the congruent number problem over integers of cyclic number fields
Authors: Zinevičius Albertas 
Published: August 2016

Abstract
Given a cyclic field extension K/ℚ of degree d and a nonzero rational integer m, we show that the equation mp2
= x4
- y
2 has no nontrivial solutions in

K

/

Q

${K/{\mathbb Q}}$

when p belongs to a subset of rational prime numbers of relative density at least φ(d)/(2d).
On the Diophantine equation x
2 + C= yn
for C = 2
a
3
b
17
c
and C = 2
a
13
b
17
c
Authors: Godinho Hemar , Marques Diego , Togbé Alain 
Published: August 2016

Abstract
In this paper, we find all solutions of the Diophantine equation x2 + C= y
n
in integers x, y ≥ 1, a, b, c ≥ 0, n ≥ 3, with gcd(x, y) = 1, when C= 2
a
3
b
17
c
and C = 2
a
13
b
17
c
.
Representations and evaluations of the error term in a certain divisor problem
Authors: Furuya Jun , Minamide Makoto , Tanigawa Yoshio 
Published: August 2016

Abstract
In this paper, we shall derive representations of the Chowla-Walum type formula for the error term in a divisor problem related to the derivatives of the Riemann zeta-function. As a direct corollary of this formula, we shall consider estimations of this error term.
A construction of a Peano curve
Authors: Harzheim Egbert 
Published: August 2016

Abstract
PEANO, G.: Sur une courbe, qui remplit toute une aire plane, Math. Ann. 36 (1890), 157–160] invented a surjective continuous mapping f of the unit interval I = [0, 1] onto I× I. A wellknown geometric construction was given by [HILBERT, D.: Über die stetige Abbildung einer Linie auf ein Flächenstück, Math. Ann. 38 (1891), 459–460]. In general Peano curves are constructed as limit of a series of piecewise linear functions. We here present another type of proof. A detailed survey on Peano curves is given in [WUNDERLICH, W.: Über Peano-Kurven, Elem. Math. 28 (1973), 1–10].
Oscillation criteria for higher order nonlinear delay dynamic equations on time scales
Authors: Wu Xin , Sun Taixiang 
Published: August 2016

Abstract
In this paper, we study the oscillation criteria of the following higher order nonlinear delay dynamic equation

R
n
△

(
t
,
x
(
t
)
)
+
b
(
t
)

|

R

n
−
1

△

(
t
,
x
(
t
)
)

|

γ
−
1

R

n
−
1

△

(
t
,
x
(
t
)
)
+
q
(
t
)
f
(

|

x
(
τ
(
t
)
)

|

γ
−
1

x
(
τ
(
t
)
)
)
=
0

$$R_n^\triangle (t, x(t))+b(t)|R_{n-1}^\triangle(t, x(t))|^{\gamma-1} R_{n-1}^\triangle(t, x(t))+q(t)f(|x(\tau(t))|^{\gamma-1}x(\tau(t)))=0$$

on an arbitrary time scale T with sup T = ∞, where n ≥ 2, γ > 0 is a constant, τ: T → T with τ(t) ≤ t and

lim

t
→
∞

⁡
τ
(
t
)
=
∞

$\mathop {\lim }\limits_{t \to \infty } \tau (t) = \infty $

and

R
k

(
t
,
x
(
t
)
)
=

x
(
t
)
,

if

k
=
0
,

r
k

(
t
)

R

k
−
1

△

(
t
,
x
(
t
)
)
,

if

1
≤
k
≤
n
−
1
,

r
n

(
t
)

|

R

n
−
1

△

(
t
,
x
(
t
)
)

|

γ
−
1

R

n
−
1

△

(
t
,
x
(
t
)
)
,

if

k
=
n
,

$$R_k(t, x(t))=
\begin{cases}
x(t),&\text{if}\ \;\;k=0,
\\
r_k(t)R^\triangle_{k-1}(t, x(t)),&\text{if}\ \;\;1\leq k\leq n-1,
\\
r_n(t)|R^\triangle_{n-1}(t, x(t))|^{\gamma-1}
R^\triangle_{n-1}(t, x(t)),&\text{if}\ \;\;k= n,
\end{cases}$$

with rk
(t) (1 ≤ k ≤ n) are positive rd-continuous functions. We give sufficient conditions under which every solution of this equation is either oscillatory or tends to zero.
On the solutions of a fourth order parabolic equation modeling epitaxial thin film growth
Authors: Duan Ning , Zhao Xiaopeng , Zhao Xiufang 
Published: August 2016

Abstract
In this paper, we study the existence and uniqueness of global weak solution, the regularity of the solutions and the existence of global attractor for a fourth order parabolic equation modeling epitaxial thin film growth with Neumann boundary conditions in two space dimensions.
Meromorphic solutions of q-shift difference equations
Authors: Qi Xiaoguang , Yang Lianzhong , Liu Yong 
Published: August 2016

Abstract
In this paper, we consider the growth of meromorphic solutions of some generalized q-shift difference equation An
(z)f(qz + n) + … + A
1(z)f(qz + 1) + A
0(z)f(qz) = 0. Moreover, we also investigate the existence of transcendental meromorphic solutions of Fermat type of q-shift difference equations.
Weighted αβ-statistical convergence of Kantorovich-Mittag-Leffler operators
Authors: Ali özarslan Mehmet , Aktuğlu Hüseyin 
Published: August 2016

Abstract
In this paper we introduce Kantorovich variant of the Mittag-Leffler operators including the modified Kantorovich-Szász-Mirakjan operators. We give αβ-statistical approximation theorems for these operators in various function spaces. The results include the statistical, lacunary statistical and λ-statistical cases. Moreover, we compute the rate of convergence in different Lipschitz type spaces.
The local spectral radius of a nonnegative orbit of compact linear operators
Authors: Pituk Mihály 
Published: August 2016

Abstract
We consider orbits of compact linear operators in a real Banach space which are nonnegative with respect to the partial ordering induced by a given cone. The main result shows that under a mild additional assumption the local spectral radius of a nonnegative orbit is an eigenvalue of the operator with a positive eigenvector.
A note on Lie product preserving maps onMn(ℝ)
Authors: Marovt Janko 
Published: August 2016

AbstractLetϕbe an injective, continuous, Lie product preserving map onMn(ℝ),n> 3. In the paper we show that then there exist an invertible matrixT∈Mn(ℝ) and a continuous functionψ:Mn(ℝ)→ ℝ, whereψ(A) = 0 for all matrices of trace zero, such that eitherϕ(A) =TAT−1+ψ(A)Ifor allA∈Mn(ℝ), orϕ(A) = −TAtT−1+ψ(A)Ifor allA∈Mn(ℝ). We determine that a similar proposition holds true for the setMn(ℂ),n> 3.
On vector optimality conditions for constrained problems with ℓ-stable data
Authors: Dvorská Marie 
Published: August 2016

Abstract
The aim of this paper is to enhance certain optimality conditions for constrained vector programming problem with ℓ-stable data published by [GINCHEV, I.: On scalar and vector ℓ-stable functions, Nonlinear Anal. 74 (2011), 182–194], and by [BEDNAŘIK, D.—PASTOR, K.: On second-order condition in constrained vector optimization, Nonlinear Anal. 74 (2011), 1372–1382].
Reparameterization of weakly nonlinear regression models with constraints
Authors: Kubáček Lubomír , Wimmer Gejza 
Published: August 2016

AbstractThere are several ways how to redefine the Bates and Watts curvatures in models with constraints. One of possible approaches is based on a reparametrization of models. It enables us to construct linearization regions for the bias of parameter estimators, for the confidence regions, etc., in an easy way.
Analytical and numerical validation for solving the fractional Klein-Gordon equation using the fractional complex transform and variational iteration methods
Authors: Khader M. M. , Adel M. 
Published: August 2016

AbstractIn this paper, we implement the fractional complex transform method to convert the nonlinear fractional Klein-Gordon equation (FKGE) to an ordinary differential equation. We use the variational iteration method (VIM) to solve the resulting ODE. The fractional derivatives are presented in terms of the Caputo sense. Some numerical examples are presented to validate the proposed techniques. Finally, a comparison with the numerical solution using Runge-Kutta of order four is given.
Comparative study of synchronization methods of fractional order chaotic systems
Authors: Singh Ajit K. , Yadav Vijay K. , Das S. 
Published: August 2016

AbstractIn this article, the active control method and the backstepping method are used during the synchronization of fractional order chaotic systems. The salient feature of the article is the analysis of time of synchronization between fractional order Chen and Qi systems using both the methods. Numerical simulation and graphical results clearly exhibit that backstepping approach is better than active control method for synchronization of the considered pair of systems, as it takes less time to synchronize while using the first one compare to second one.
Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control
Authors: Rajagopal Karthikeyan , Karthikeyan Anitha 
Published: August 2016

AbstractMost of the Real systems shows chaotic behavior when they approach complex states. Especially in physical and chemical systems these behaviors define the character of the system. The control of these chaotic behaviors is of very high practical importance and hence mathematical models of these chaotic systems proves vital in deciding the control structures. One such model of chemical reactors is the Willamowski–Rössler system (WR). In this paper we derive a fractional order sliding mode control scheme where the states of the WR system are driven back to the defined equilibrium points. We have also synchronized master and slave fractional order WR system using sliding mode control. As the entire control law is defined in fractional order, we derived a new methodology to prove the stability of the controller. The numerical simulation and analysis are achieved with LabVIEW.
Strengthening the Figure Skater: Considerations for Injury Prevention and Performance
Authors: Mohney Gretchen , Miller Michael G. , Hanson Nicholas 
Published: August 2016

ABSTRACT
ATHLETES WHO PARTICIPATE IN VARIOUS FIGURE SKATING DISCIPLINES COULD BENEFIT FROM SPECIFIC STRENGTHENING EXERCISES TARGETING THE TRUNK, HIP, AND LOWER EXTREMITY TO PREVENT INJURY AND ENHANCE PERFORMANCE. PARTICULAR ATTENTION SHOULD BE PLACED ON STRENGTHENING THE TRANSVERSE ABDOMINIS, MULTIFIDUS, AND GLUTEAL MUSCLES FOLLOWED BY BALANCE AND POWER TRAINING. THE EXERCISE PROGRAMS PRESENTED SHOULD ALSO INCREASE POSTURAL CONTROL AND REDUCE THE INCIDENCE OF HIP-RELATED INJURY IN SKATERS. IN ADDITION, THESE EXERCISES CAN BE COMPLETED DURING THE ENTIRE TRAINING YEAR, WITH REDUCED INTENSITY AND VOLUME OF WORK LOWER DURING SPECIFIC COMPETITION PERIODS.
Assessing Change of Direction Ability in Badminton Athletes
Authors: Paterson Samuel , McMaster Daniel Travis , Cronin John 
Published: August 2016

ABSTRACT
THIS REVIEW PROVIDES A STOCK TAKE OF BADMINTON-SPECIFIC CHANGE OF DIRECTION (COD) RESEARCH AND PROVIDES RECOMMENDATIONS TO PRACTITIONERS FOR COD ASSESSMENT. THE REVIEW WILL EXAMINE RELATIONSHIPS BETWEEN COD AND THE FOLLOWING MEASURES: ANTHROPOMETRY, ELASTIC STRENGTH, CONCENTRIC STRENGTH, LEG MUSCLE IMBALANCES, TECHNIQUE, STRAIGHT-LINE SPRINT SPEED, AND FLEXIBILITY. A BADMINTON-SPECIFIC COD ASSESSMENT BATTERY IS PROPOSED WITH THE INCLUSION OF 2 NEW TESTS: A MULTIDIRECTIONAL LUNGE TEST AND A MULTIDIRECTIONAL CYCLIC COD TEST.
Estimation of Gene Insertion/Deletion Rates with Missing Data
Authors: Dang Utkarsh J , Devault Alison M , Mortimer Tatum D , Pepperell Caitlin S , Poinar Hendrik N , Golding G Brian 
Published: August 2016

AbstractLateral gene transfer is an important mechanism for evolution among bacteria. Here, genome-wide gene insertion and deletion rates are modeled in a maximum-likelihood framework with the additional flexibility of modeling potential missing data. The performance of the models is illustrated using simulations and a data set on gene family phyletic patterns from Gardnerella vaginalis that includes an ancient taxon. A novel application involving pseudogenization/genome reduction magnitudes is also illustrated, using gene family data from Mycobacterium spp. Finally, an R package called indelmiss is available from the Comprehensive R Archive Network at https://cran.r-project.org/package=indelmiss, with support documentation and examples.
Clinical Actionability of Comprehensive Genomic Profiling for Management of Rare or Refractory Cancers
Authors: Hirshfield Kim M. , Tolkunov Denis , Zhong Hua , Ali Siraj M. , Stein Mark N. , Murphy Susan , Vig Hetal , Vazquez Alexei , Glod John , Moss Rebecca A. , Belyi Vladimir , Chan Chang S. , Chen Suzie , Goodell Lauri , Foran David , Yelensky Roman , Palma Norma A. , Sun James X. , Miller Vincent A. , Stephens Philip J. , Ross Jeffrey S. , Kaufman Howard , Poplin Elizabeth , Mehnert Janice , Tan Antoinette R. , Bertino Joseph R. , Aisner Joseph , DiPaola Robert S. , Rodriguez-Rodriguez Lorna , Ganesan Shridar 
Published: August 2016

AbstractBackground.The frequency with which targeted tumor sequencing results will lead to implemented change in care is unclear. Prospective assessment of the feasibility and limitations of using genomic sequencing is critically important.Methods.A prospective clinical study was conducted on 100 patients with diverse-histology, rare, or poor-prognosis cancers to evaluate the clinical actionability of a Clinical Laboratory Improvement Amendments (CLIA)-certified, comprehensive genomic profiling assay (FoundationOne), using formalin-fixed, paraffin-embedded tumors. The primary objectives were to assess utility, feasibility, and limitations of genomic sequencing for genomically guided therapy or other clinical purpose in the setting of a multidisciplinary molecular tumor board.Results.Of the tumors from the 92 patients with sufficient tissue, 88 (96%) had at least one genomic alteration (average 3.6, range 0–10). Commonly altered pathways included p53 (46%), RAS/RAF/MAPK (rat sarcoma; rapidly accelerated fibrosarcoma; mitogen-activated protein kinase) (45%), receptor tyrosine kinases/ligand (44%), PI3K/AKT/mTOR (phosphatidylinositol-4,5-bisphosphate 3-kinase; protein kinase B; mammalian target of rapamycin) (35%), transcription factors/regulators (31%), and cell cycle regulators (30%). Many low frequency but potentially actionable alterations were identified in diverse histologies. Use of comprehensive profiling led to implementable clinical action in 35% of tumors with genomic alterations, including genomically guided therapy, diagnostic modification, and trigger for germline genetic testing.Conclusion.Use of targeted next-generation sequencing in the setting of an institutional molecular tumor board led to implementable clinical action in more than one third of patients with rare and poor-prognosis cancers. Major barriers to implementation of genomically guided therapy were clinical status of the patient and drug access. Early and serial sequencing in the clinical course and expanded access to genomically guided early-phase clinical trials and targeted agents may increase actionability.
Derivative Misconduct and Forms thereof: Western Refinery Ltd v Hlebela 2015 36 ILJ 2280 (LAC)
Authors: Maloka Tumo Charles 
Published: August 2016

Western Platinum Refinery Ltd v Hlebela 2015 ZALAC 20 (“Hlebela”) required the Labour Appeal Court to grapple with difficult questions presented by generic dilemma which confronts an employer faced with clear evidence of recurrent theft of precious minerals, but is unable to identify the actual culprits, nor are the employees disposed or willing to co-operate with the employer in tracking down the perpetrator(s). Suddenly, the police informed the employer that an employee who had accumulated wealth was a person of interest in their investigations. However, they give no information about the employee being engaged, to their knowledge, in particular illegal activities.
Hlebela answered the nagging question: what is the appropriate way to discipline an employee who has actual knowledge of the wrongdoing of others or who has actual knowledge of information which the employee subjectively knows is relevant to unlawful conduct against the employer’s interests? The categorical answer is to charge the employee with material breach of the duty of good faith, particularising the knowledge allegedly possessed and alleging a culpable non-disclosure.
Factor Model of Motor and Functional Readiness of Girls Aged 15-16 Years
Authors: Іващенко О. В. , Коптенков А. В. , Прокопенков Д. О. 
Published: August 2016

Research objective. To define methodological approaches to pedagogical control of dynamics of motor and functional readiness of girls aged 15-16.Research methods. To solve the tasks set, the study used the following methods: analysis of scientific and methodological literature, pedagogical testing and methods of mathematical statistics of data reduction. The testing program consisted of the commonly known tests: jumping with “increases f weight” (number of jumps in the given corridor), evaluation of time parameters of movement (error in re-creating the duration of five-second running in place), evaluation of perception of strength movement parameters (the error in re-creating the efforts is 0.5 of the maximum), shuttle run 4×9 m (s), bending and unbending of arms from the lying position (times), bending and unbending of arms in suspension (times), bent suspension (s), standing long jump (cm).Research results. The girls aged 15 show statistically significantly better readiness by the results of the tests: No. 1 “Jumping with ‘increases of weight’, times”, No. 3 “Bending and unbending of arms from the lying position, times”, No. 5 “Bent suspension, s”, and by the indicators of functional tests (p < 0.05).The most informative indicators for the routine control of the motor readiness of girls aged 15 are the following tests: “Bending and unbending of arms from the lying position” (,951), Ghencea test (,929), “Standing long jump (cm)” (,930), “Shuttle run 4×9 m, s” (,911).The most informative indicators for the routine control of the motor readiness of girls aged 16 are the following tests: Ghencea test (,945), “Bending and unbending of arms in suspension” (,883), “Bending and unbending of arms from the lying position” (,823).
Peculiarities of Endurance Development in 10th-11th Graders
Authors: Санжарова Н. М. , Д’якова М. І. 
Published: August 2016

The purpose of the research is to conduct a comparative analysis of the endurance development in the 10th- and 11th- graders of the secondary school and to define the interrelation between the types of endurance.Research Methods: review and analysis of literature on the problem under study, observations, pedagogical testing, methods of mathematical statistics.The experiment took place at secondary school No. 122 of Kharkiv in September 2014 through October 2014, and lasted for four weeks. To study the high schoolers’ level of endurance, we used the following tests: suspension on horizontal bar (s), bending and unbending of arms in the lying position (number of times), gym mat sit-ups with hands behind the head in 1 minute (number of times), “eight” test with a tennis ball. The Ruffier Index was determined, too. There were two groups created for the purposes of the experiment. The first experimental group consisted of ten boys of the 10th grade. The other experimental group consisted of ten boys too, but they were 11th-graders. The experiment covered physical training classes conducted three times a week. The conditions of the experiment were the same for all the pupils.Conclusions. The comparative analysis of the endurance level revealed no significant diffrences in the readiness of the 10th- and 11th-graders, but for the level of statistical strength endurance, in which the 11th-graders showed a better result confirmed by the statistical calculations (P < 0.05 ).Correlation analysis of the interrelation between different types of high schoolers’ endurance revealed strong statistical interelation between the statistical strength endurance and the dynamic strength endurance (r = 0.883), and between the dynamic strength endurance and the speed-strength endurance (r = 0.858). The average statistical interrelation is observed between the statistical strength endurance and the speed-strength endurance (r = 0.536), the overall physical performance and three types of edurance concurrently: statistical strength endurance (r = 0.609), dynamic strength endurance (r = 0,551), speed-strength endurance (r = 0.524). The other types of endurance showed weak statistical interrelation.
Inclusive Training in Fencing as a Means of Changing Attitude to People with Disabilities
Authors: Свічкар Р. Ю. , Димар О. А. 
Published: August 2016

Research objective: to develop and improve the training of fencers using inclusive training in order to increase sport results and shape a positive attitude to people with disabilities.
Methods. The co-training of the “Unifekht” Sports Club fencers and wheelchair fencers lasted for three months. The athletes underwent the preliminary and the final testing on the target that showed a number of hits. Besides, during the individual lesson, the coach tested the athlete for the quality of performing attacking and defensive techniques. The preliminary and the final questionnaires revealed the opinions of the coaches, instructors of the Department of Fencing, fencers and wheelchair fencers and the students of the School of Physical Education and Sports of H. S. Skovoroda Kharkiv National Pedagogical University as to the attitude of the athletes of both categories to sports and “Invasport” in Ukraine. There were 40 respondents taking the questionnaires: 3rd-year students (10 people), fencers (10 people), instructors of the Department of Fencing (5 persons), wheelchair fencers (8 people), fencing coaches (5 persons), wheelchair fencing coaches (2 persons).
Results. The study shows that, despite the high results of the athletes with disabilities, there exist certain problems in Ukraine that affect the willingness of people with disabilities to go in for sports. The main causes thereof are the low level of financial support and the low quality of medical care. By the research results, the respondents indicate the main criterion motivating people with special needs to do wheelchair fencing to be: self-expression and self-realization (68%), an opportunity to communicate (21%), and financial support (11%). The factors of low interest in wheelchair fencing are: lack of motivation to training people with special needs (26%); social policy of the state (23%); poor facilities and resources in the specialized institutions (20% of the respondents). At the same time, 60% of the respondents without health defects are willing to assist in holding various sports events; 30% will agree to assist if they are not otherwise engaged (work, studying, personal circumstances).
The results of the questionnaires and the testing of the fencers’ technical abilities prove co-training to be effective for the athletes of both categories.