Mathematical Development Program for Calculation of Fatty Acid Composition Blend of Vegetable Oils

The method of solution of the problem of polyunsaturated fatty acids (PUFA) lack in milk products is offered in the work. It is offered to create the milk-containing products (sour cream product) with adjusted fatty acid composition. The possibility of replacement of the mass part of milk fat (50 %) by the blend of natural vegetable oils was studied. For the solution of this problem the program within MatLab mathematical package was elaborated. The recommended fatty acids (FA) ratio [3] is selected as optimization parameter. The optimized blend was created using the elaborated program. The data, received by mathematical calculations, were experimentally proved using the method of gas-liquid chromatography [7]. On the based of the results, received at the studies, it can be stated, that 50 % replacement of mass part of fat (m.p.f.) in milk products (sour cream product) by elaborated blend, allows partially adjust its FA composition

An Evaluation of the Optical Maser Photon Rate Gyroscope

Mathematical development of resonant frequencies of electromagnetic cavity - Evaluation of optical maser photon rate gyroscop

The role of language in mathematical development: Evidence from children with specific language impairments

A sample (n=48) of eight year olds with Specific Language Impairments is compared with age-matched (n=55) and language matched controls (n=55) on a range of tasks designed to test the interdependence of language and mathematical development. Performance across tasks varies substantially in the SLI group, showing profound deficits in production of the count word sequence and basic calculation and significant deficits in understanding of the place-value principle in Hindu-Arabic notation. Only in understanding of arithmetic principles does SLI performance approximate that of age-matched-controls, indicating that principled understanding can develop even where number sequence production and other aspects of number processing are severely compromised

Formalized Resolution of the Scientific Task for Improving the Effective Planning Special Purpose Unmanned Aerial Vehicles Routes of Tactical Level

In the article, the features of application of special purpose unmanned aerial vehicles (UAVs) of the tactical level have resulted during the operation of the joint forces. The role of routes planning of special purpose UAVs of tactical level in the conditions of a concrete battle situation is determined. The necessity of the mathematical development for planning a flight route of special purpose UAVs is justified. Essence and maintenance of scientific task are set. Its formalized setting is guided

Utilization of Moire patterns as an orbital docking aid to space shuttle/Space Station Freedom

Moire patterns are investigated as possible docking aids for use between the National Space Transportations System (Space Shuttle Orbiter) and the Space Station Freedom. A sight reticle placed in optical conjunction with a docking target can generate moire fringes from which position and alignment can be inferred. Design specifications and a mathematical development to meet those specifications are discussed. A motion based simulator and experimental hardware have been constructed

Bayesian Decision Theory and Stochastic Independence

Stochastic independence has a complex status in probability theory. It is not part of the definition of a probability measure, but it is nonetheless an essential property for the mathematical development of this theory. Bayesian decision theorists such as Savage can be criticized for being silent about stochastic independence. From their current preference axioms, they can derive no more than the definitional properties of a probability measure. In a new framework of twofold uncertainty, we introduce preference axioms that entail not only these definitional properties, but also the stochastic independence of the two sources of uncertainty. This goes some way towards filling a curious lacuna in Bayesian decision theory

Bayesian Decision Theory and Stochastic Independence

As stochastic independence is essential to the mathematical development of probability theory, it seems that any foundational work on probability should be able to account for this property. Bayesian decision theory appears to be wanting in this respect. Savage’s postulates on preferences under uncertainty entail a subjective expected utility representation, and this asserts only the existence and uniqueness of a subjective probability measure, regardless of its properties. What is missing is a preference condition corresponding to stochastic independence. To fill this significant gap, the article axiomatizes Bayesian decision theory afresh and proves several representation theorems in this novel framework