Abstract: Taking into account that many problems of natural
sciences and engineering are reduced to solving initial-value problem
for ordinary differential equations, beginning from Newton, the
scientists investigate approximate solution of ordinary differential
equations. There are papers of different authors devoted to the
solution of initial value problem for ODE. The Euler-s known
method that was developed under the guidance of the famous
scientists Adams, Runge and Kutta is the most popular one among
these methods.
Recently the scientists began to construct the methods preserving
some properties of Adams and Runge-Kutta methods and called them
hybrid methods. The constructions of such methods are investigated
from the middle of the XX century. Here we investigate one
generalization of multistep and hybrid methods and on their base we
construct specific methods of accuracy order p = 5 and p = 6 for
k = 1 ( k is the order of the difference method).
Abstract: The study attempted to identify the dominant
intelligences of athletes by comparing the developmental differences
of multiple intelligences between athletes and non-athletes. The
weekly specialized training hours and years of specialized training
was examined to see how it can predict the dominant intelligence with
the age factor controlled. There were 355 participants in the research
(202 athletes and 153 non-athletes). Collected data were analyzed with
one-way MANOVA and multiple hierarchical regression. The results
suggested the dominant intelligences of athletes were Interpersonal
Intelligence, Bodily-Kinesthetic Intelligence, and Intrapersonal
Intelligence. The weekly specialized training hours and years of
specialized training could effectively predict the Interpersonal
Intelligence, Bodily-Kinesthetic Intelligence, and Intrapersonal
Intelligence of athletes. The author suggested the future studies could
focus on the theory construction of weekly specialized training and
years of specialized training. Also, the studies on using “Bridge
strategy" by the athletes to guide disadvantage intelligences with
dominant intelligences are highly valued.
Abstract: Beginning from the creator of integro-differential
equations Volterra, many scientists have investigated these
equations. Classic method for solving integro-differential
equations is the quadratures method that is successfully applied up
today. Unlike these methods, Makroglou applied hybrid methods
that are modified and generalized in this paper and applied to the
numerical solution of Volterra integro-differential equations. The
way for defining the coefficients of the suggested method is also
given.
Abstract: This research study aims to identify the impact of two
factors –growth and competitive strategies- on a set of building
production innovation strategies. It was conducted a questionery
survey to collect data from construction professionals and it was
asked them the importance level of predicted innovation strategies for
corporate strategies. Multiple analysis of variance (MANOVA) was
employed to see the main and interaction effects of corporate
strategies on building innovation strategies. The results indicate that
growth strategies such as entering in a new a market or new project
types has a greater effect on innovation strategies rather than
competitive strategies such as cost leadership or differentiation
strategies. However the interaction effect of competitive strategies
and growth strategies on innovation strategies is much bigger than
the only effect of competitive strategies. It was also analyzed the
descriptive statistics of innovation strategies for different competitive
and growth strategy types.
Abstract: Solution of some practical problems is reduced to the
solution of the integro-differential equations. But for the numerical
solution of such equations basically quadrature methods or its
combination with multistep or one-step methods are used. The
quadrature methods basically is applied to calculation of the integral
participating in right hand side of integro-differential equations. As
this integral is of Volterra type, it is obvious that at replacement with
its integrated sum the upper limit of the sum depends on a current
point in which values of the integral are defined. Thus we receive the
integrated sum with variable boundary, to work with is hardly.
Therefore multistep method with the constant coefficients, which is
free from noted lack and gives the way for finding it-s coefficients is
present.
Abstract: Article devoted to the development of technologies
for medicine and agroecology by using plant organelle – spherosome.
Technological method of purification and isolation of this organelle
by using novel nanostructured carbon sorbent – “nanocarbosorb"
ARK type are presented. Also the methods of preparation of
nanocontainers based on using of spherosome with loaded isosorbide
dinitrate, piroxicam or diclofenak are exhibited. We found that the
spherosome could be applied for ecological aims as bioregulator and
also as biosensor for determination of ammonia ions in water
reservoirs at concentration range 1mM to 100mM.
Abstract: The study of the variability of the postural strategies
in low back pain patients, as a criterion in evaluation of the
adaptability of this system to the environmental demands is the
purpose of this study. A cross-sectional case-control study was
performed on 21 recurrent non-specific low back pain patients and 21
healthy volunteers. The electromyography activity of Deltoid,
External Oblique (EO), Transverse Abdominis/Internal Oblique
(TrA/IO) and Erector Spine (ES) muscles of each person was
recorded in 75 rapid arm flexion with maximum acceleration.
Standard deviation of trunk muscles onset relative to deltoid muscle
onset were statistically analyzed by MANOVA . The results show
that chronic low back pain patients exhibit less variability in their
anticipatory postural adjustments (APAs) in comparison with the
control group. There is a decrease in variability of postural control
system of recurrent non-specific low back pain patients that can
result in the persistence of pain and chronicity by decreasing the
adaptability to environmental demands.
Abstract: As is known, one of the priority directions of research
works of natural sciences is introduction of applied section of
contemporary mathematics as approximate and numerical methods to
solving integral equation into practice. We fare with the solving of
integral equation while studying many phenomena of nature to whose
numerically solving by the methods of quadrature are mainly applied.
Taking into account some deficiency of methods of quadrature for
finding the solution of integral equation some sciences suggested of
the multistep methods with constant coefficients. Unlike these papers,
here we consider application of hybrid methods to the numerical
solution of Volterra integral equation. The efficiency of the suggested
method is proved and a concrete method with accuracy order p = 4
is constructed. This method in more precise than the corresponding
known methods.