STRUCTURING OF THE VARIATIVE LANGUAGE TRAINING CONTENT AT THE UNIVERSITY

The article deals with the issues of structuring the variative foreign language training content. Variative foreign language training consists of a basic mandatory part for all students, which implements the requirements of Federal state educational standards at a minimum level and variation part. The variation part, represented by educational variants, is designed to meet the cognitive needs of students and take into account personal characteristics that affect the acquisition of a foreign language at the University. It is shown that the system approach is the basis for structuring the content. Professionally oriented foreign language training in higher education is considered as part of the higher education system, is subject to general goals, is regulated by the standard, program, and includes the levels of higher education: bachelor's, master's, specialty, and postgraduate. Disciplines related to foreign language acquisition are focused on the formation of foreign language communication skills, and also allow forming flexible skills that are necessary by specialists in different areas of professional activity today and are increasingly in the future. It is noted that the system approach regulates the construction of variative training parts in the aggregate, due to their interaction. The core of the system is the basic and variation variants availability. The framework of the system is the educational standards requirements, the educational program data, which sets the terms of the course development, the number of hours for classroom and self-study work, the form of intermediate and final control. The system integrity is manifested in the presence of horizontal and vertical links between the educational process elements. Horizontal links are located in the relationship between the basic and variation parts at each education level. Vertical links are found between the basic and additional parts of all levels on the basis of content and technology continuity. Continuity is understood as taking into account the individual level of educational achievements and reliance on the studied material. The results led to structure the variative foreign language training content in "Animal husbandry", to identify the basic and variation parts for the growth and development of foreign language skills and orientation training to suit individual needs and students’ characteristics.

Regularity properties of the stochastic flow of a skew fractional Brownian motion

In this paper we prove, for small Hurst parameters, the higher-order differentiability of a stochastic flow associated with a stochastic differential equation driven by an additive multi-dimensional fractional Brownian noise, where the bounded variation part is given by the local time of the unknown solution process. The proof of this result relies on Fourier analysis-based variational calculus techniques and on intrinsic properties of the fractional Brownian motion.

A potential therapeutic pitfall in the treatment of venous reflux due to variant planar anatomy of varicose segments

Purpose To elaborate on a planar anatomic variant of great saphenous vein as a potential therapeutic pitfall in the treatment of venous reflux. Materials and methods Lower extremity veins in 568 limbs with great saphenous vein insufficiency were sonographically mapped. A rather overlooked variation, the saphenous bow, was studied with emphasis on anatomic clarification and its involvement in venous insufficiency. Results This variation, observed in 5.1% (n = 29) of limbs, comprised two segments; one uninterrupted great saphenous vein proper coursing throughout saphenous compartment and one extra-compartmental segment originating distally from and proximally fusing with it. Venous arch remains within compartment only briefly during take-off and re-entry. Extra-compartmental venous arch had reflux either alone (10.3%) or together with intra-compartmental segment (75.9%). Conclusion This variation, part of saphenous segmental aplasia/hypoplasia complex, is associated with venous insufficiency. Meticulous mapping of great saphenous vein territory and identification of such variants during planning stage is indispensable for optimal clinical outcomes of treatment.

Geometric constrained variational calculus. III: The second variation (Part II)

The problem of minimality for constrained variational calculus is analyzed within the class of piecewise differentiable extremaloids. A fully covariant representation of the second variation of the action functional based on a family of local gauge transformations of the original Lagrangian is proposed. The necessity of pursuing a local adaptation process, rather than the global one described in [1] is seen to depend on the value of certain scalar attributes of the extremaloid, here called the corners’ strengths. On this basis, both the necessary and the sufficient conditions for minimality are worked out. In the discussion, a crucial role is played by an analysis of the prolongability of the Jacobi fields across the corners. Eventually, in the appendix, an alternative approach to the concept of strength of a corner, more closely related to Pontryagin’s maximum principle, is presented.

Geometric constrained variational calculus. II: The second variation (Part I)

Within the geometrical framework developed in [Geometric constrained variational calculus. I: Piecewise smooth extremals, Int. J. Geom. Methods Mod. Phys. 12 (2015) 1550061], the problem of minimality for constrained calculus of variations is analyzed among the class of differentiable curves. A fully covariant representation of the second variation of the action functional, based on a suitable gauge transformation of the Lagrangian, is explicitly worked out. Both necessary and sufficient conditions for minimality are proved, and reinterpreted in terms of Jacobi fields.