The article presents the possibilities of the GeoGebra dynamic geometry environment which can be used for conducting experimental research work. Computer experiment as a method of research serves to discover new knowledge, to test hypotheses, to involve students in the active process of learning new material. Freely-distributed GeoGebra's dynamic geometry environment which has a Russian version and a friendly interface that can be conveniently used both in classrooms and at home, is chosen as a computer technology for implementing a computer experiment. There are described possibilities of the tools used to implement the computer experiment. Among them are tools for detecting the metric and positional features of the object, obtaining information about the relationship between metric and positional features of objects, a parametrical task of changes of size, creation of experimental data tables. The experimental capabilities of the GeoGebra dynamic geometry environment are revealed by the examples of solving some elementary geometry problems about the simplest of polygons - a triangle that attracted the attention of both ancient scientists (Menelaus and others) and scientists who are closer to our time (Euler, Poncelet et al. ). Capabilities of the system for creating dynamic drawings, tables of experimental data and their application in conducting research work are demonstrated on the example of Menelaus' theorem presented in a more accessible form than in the textbook of geometry 10th -11th forms (authors L.S. Atanasyan, V. F. Butuzov, etc.)
The Euler function is very important in number theory
and in Mathematics, however, the range of its values in
the natural numbers has not been written off. The
greatest value of the Euler function reaches on Prime
numbers, furthermore, it is multiplicative. The value of
the Euler function is closely associated with the values
of the Moebius function and the function values of the
sum of the divisors of the given natural number. The
Euler function is linked with systems of public key
encryption. The individual values of the Euler function
behave irregularly because of the irregular distribution
of primes in the natural numbers. This tract is
illustrated in the article with charts; summatory
function for the Euler function and its average value
are more predictable. We prove the formula of
Martinga and, based on it, we study the approximation
accuracy of the average value of the Euler function
with corresponding quadratic polynomial. There is a
new feature associated with the average value of the
Euler function and calculate intervals of its values. We
also introduce the concept of density values of the
Euler function and calculate its value on the interval of
the natural numbers. It can be noted that the results of
the behavior of the Euler function are followed by the
results in the behavior of functions of sums of divisors
of natural numbers and vice versa. We have also given
the results of A.Z.Valfish and A.N.Saltykov on this
subject
In this article the influence of agrotechnologies of cultivation of field cultures on soil indicators and distribu-tion of heavy metals on the horizons of the black leached soil is considered. Regularities of distribution of gross and mobile forms of manganese, zinc, lead, cobalt, copper and cadmium on the genetic horizons of the black leached soil of the Azov-Kuban lowland are revealed
The article presents the results of diagnosis of soybean plants with sulfur, molybdenum and boron in a Western Ciscaucasia on leached chernozem (black soil). The soil testing has shown that the availability of sulfur in the experimental plots is low (2,10-7,02 mg / kg), molybdenum - average (0,20-0,28 mg / kg), boron - low to high (0, 22-0,63 mg / kg). The sulfur content was optimal in 2013 (2309 mg / kg), molybdenum - 2013 and 2014 (1.11 and 0.94 mg / kg) and the boron content was high (65,2-94, 1 mg / kg) in soybean plants. The soybean plants needed sulfur fertilizer in 2012 and 2014, molybdenum - in 2014, and boron fertilizers are not needed, according to the functional diagnosis. The results of various methods of diagnosis coincided with the response of soybean plants for foliar application: sulfur fertilizer increases the yield in 2012 and 2014 by 7.1 and 8.9 %, molybdenum also in 2012 and 2014 - by 6.0 and 10.0 %. Boron fertilizers in 2014 increased soybean yields (17.1%), despite the lack of need for soybean plants in Bor. So, the method of functional diagnostics is more accurate than chemical soil and plant diagnostics
The article describes the main problems of criminalistic
classification of crimes against family and minors.
There were investigated the characteristics of criminal
law and criminal nature, which is the basis for the
classification
The article deals with criminal liability for crimes
related to extremist activity. Different points of
view regarding the classification of extremist
crimes are analyzed. Particular attention was paid to
the consideration of the judicial-investigative
practice concerning the application of criminal
responsibility for the commission of this type of
crime. The authors formulated proposals for
improving the current criminal legislation in the
field of combating extremism
The article deals with a new type of crime –
physical assault committed by a person brought to
the administrative punishment. The research is
referring to meaning, base and measure of criminal
liability. The authors are analyzing the positions of
scientists and practitioners about making this
amendment in Russian Criminal Code
One of the ways to save rare species of plants is to create models of natural communities on the grounds of the botanical gardens. In the Botanical Garden of Kuban State University we have created the model of forest communities with the participation of rare and endangered species, and we are still working on creating models of herbaceous communities. We have introduced 18 species of plants of the flora of the Krasnodar region in the forest community and more than 30 species in herbaceous community
We have selected the new area of controlling - scientific activity controlling. We consider some problems of development in this field, primarily the problem of selection of key performance indicators. It’s been founded that administrative measures stimulated the pursuit of a number of articles published in scientific journals hinders the development of science. Methodological errors - emphasis on citation indexes, impact factors, etc. - lead to wrong management decisions. As the experience of the UK, an expertise should be applied in the management of science. The article briefly discusses some of the drawbacks of the system of scientific specialties. It is proposed to expand research on the science of science and scientific activity controlling. We have also discussed the problems of controlling in applied research organizations
The comparative analysis of the definitions the innovative economy, the new economy and the knowledge economy is given. The article might be useful for economists and other specialists, who are interested in questions of building the new types of economies, economic modelling and development of management