Problems of molecular transfer in gas environment are considered with assumption that part of water molecules may change their properties to provide transfer process. This change consists in increase of dimension of vector space, which used to describe transfer process, from 3 to 4. Other cases of extending of dimension of vector space are particular considered. At first, relations between affine group and Markov chain is considered. An action of Markov chain matrix as affine matrix is analyzed with result that point with coordinate number equal 1 is fixed point on straight line.
The article presents studies on the optimization of recipes and nutritional value of national meat and vegetable products enriched with vegetable products: cabbage, carrots and pumpkin, for the nutrition of school children of 7-11 years old. Using the method of mathematical modeling, a reference sample, a blend was determined, and the formulation of a multicomponent protein-containing product was optimized.The method of selection of components was used to select promising ingredients for combining traditional recipes for minced meat. It was found that pumpkin, zucchini, cabbage and carrots. On theon the basis of organoleptic and physicochemical studies for the production of model minced meat were selected vegetable components in the ratio of meat: vegetable raw materials for blend No. 1 62: 34, and for blend No. 2 65: 29. The recipe was optimized by the method of integer nonlinear mathematical programmingfor the optimality criterion of blend No. 1, k = 2.04, and for blend No. 2, k = 0.81. Received, The recipe for meat and vegetable minced meat in terms of the ingredient composition will be as close as possible to the reference sample, which is 10% of the daily set of food products for the nutrition of school children of the age category 7-11 years.
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