ON REPRESENTATION OF ONE CLASS OF SCHMIDT OPERATORS

In this paper, unitary symmetrizers are considered. It is well known that using Newton operatoralgorithm, similar to the usual Newton algorithm, for extracting the square root, one can provethat for every Hermitian operator T 0, there exists a unique Hermitian operator S 0 suchthat T = S2. Moreover, S commutes with every bounded operator R with which commutes T. Theoperator S is called a square root of the operator T and is denoted by T1=2. The existence of thesquare root allows one to determine the absolute value jTj = (TT)1=2 of the bounded operator T.For every bounded linear operator T : H ! H there exists a unique partially isometric operatorU : H ! H such that T = UjTj, KerU = KerT. Such an equality is called a polar expansionof the operator T. The Schmidt operator is understood as the unitary multiplier of the polarexpansion of a compact inverse operator, with the help of which E. Schmidt was the rst to obtainthe expansion of a compact and not-self-adjoint operator and introduced so-called s-numbers.This paper shows that the unitary symmetrizer of an operator diers only in sign from the adjointSchmidt operator. The main result of the paper: if A is an invertible and compact operator, andS is a unitary operator such that the operator SA is self-adjoint, then the operator AS is alsoself-adjoint and the formula S = U holds, where U is the Schmidt operator

The characteristics of chemical parameters of beer pellets for the production of compound feeds

In the country today, with the intensive development of production, the development and implementation of waste-free or low-waste technologies is an acute problem. The search for new raw materials and natural biologically active substances is very relevant for any branch of agriculture. Now the state of the food processing industry in Kazakhstan requires addressing the issues of waste disposal, including waste from brewing production. The processing of the main waste of brewing production increases the raw material reserves of the feed base of the agricultural complex and contributes to the preservation of the environment from pollution. The article examines the properties of beer hill, the possibility of its use in the production of compound feeds as the main raw material. The results of experimental studies have proved that the beer slide contains 21.5% protein and 12.7% fat. This is 2 times higher than the grain of barley. Work was also carried out to identify fungal pathogens and producers of toxins contained in the beer bard. As a result, they were not detected. In addition, we have made sure that the raw materials meet the safety requirements in all respects and it is possible to add it to feed mixtures as feed. This brings economic benefits in the production of compound feeds, being an additional valuable protein product

On the solvability of a mixed problem for partial differential equations of parabolic type with involution

Mixed partial differential equation of parabolic type with involution is considered. The sufficient conditions of the existence and uniqueness of the solution for the parabolic type equations with involution is obtained. The Fourier method is used to find a classical solution of the mixed problem for the transformed parabolic type equation with involution

CHARACTERIZATION OF THE NATIVE SHUBATS’ MICROFLORA BASED ON CAMEL MILK OBTAINED BY SPONTANEOUS FERMENTATION

The article describes the results of a study of native microflora of shubat obtained from the Kazakh Bactrian breed by spontaneous fermentation of raw milk. In the studied samples of shubat, lactic acid bacteria and yeast were the dominant microorganisms. Using the NovaSeq 6000 Sequencing System, the following isolates of LAB were identified: Lactobacillus sakei, Enterococcus faecium, Lactobacillus helveticus, Leuconstoc lactis, Enterococcus feacalis, Lactobacillus brevis and Weissella hellenica, as well as such yeast species as Kluyveromyces marxianus, Kazahstan uiosporus and Candida kefir. As a result, Lactobacillus and Enterococcus, Kluyveromyces were a dominant group of microorganisms. In addition, the most common were the species Lactobacillus sakei, Enterococcus faecium and Kluyveromyces marxianus

The development of technology and research of quality indicators of nachos from non-traditional raw materials

Currently, due to lifestyle changes, ready-made snacks are a popular and in-demand food product. The use of a large number of snacks leads to the development of a number of negative changes in human health. According to WHO, diseases of the gastrointestinal tract are among the five most common diseases in the world. Most often these diseases affect children, preschool, school age and students. The reason for this may be, first of all, the uncontrolled use of «dry rations», that is, various types of snacks. But snacks can serve as a technological basis for designing innovative food products with excellent consumer characteristics (organoleptic and physico-chemical properties). Therefore, replacing the harmful component of snacks with balanced raw materials, a useful product is obtained. The article describes the technology of nachos obtained by changing the component of the recipe, and with the addition of unconventional raw materials. When preparing nachos, cottage cheese was used to increase its nutritional value. To check the quality indicators of raw materials and finished products, standard visual-sensory and laboratory research methods were used, the results of the studies were described in detail and recorded. To date, the most common fast food product as an alternative to chips has been offered Mexican nachos. Non-traditional raw materials and natural additives were included in the nachos recipe. As an unconventional raw material, cottage cheese was chosen as the main component according to the recipe. Cottage cheese, fat content 4.1%, was obtained from natural cow's milk by fermentation by thermophilic bacteria. The article presents a balanced nachos recipe. According to the calculated recipe, the nachos product was prepared. The organoleptic and qualitative indicators of raw materials and finished products are determined. According to the results of the studies, the lead content in nachos was 0.019 mg/kg, cadmium-0.003 mg/kg, manganese-0.051 mg/kg and iron-0.038 mg/kg. The results obtained comply with the requirements of regulatory documentation. At the same time, the protein content in the finished product was 9.6 g, fat 5 g, carbohydrates 40.9 g, total energy value-249.67 kcal. The results of the study actually showed that there are grounds to recommend nachos on the market as alternates for fast food products

A review of international and national clinical guidelines for the management of patients with endometrial polyps

Endometrial polyp (EP) is a common disease of the uterine mucosa in reproductive age, peri- and post-menopause. Hysteroscopy is the primary method of diagnosing EP, and polypectomy is the method of choice for treatment. Despite many years of research on EP, there are still gaps in the understanding of its pathogenesis; approaches to the diagnosis and therapy of EP are not standardized, which makes it difficult for gynecologists to make informed decisions about the management of patients with this disease. It determined the focus of our work. We reviewed clinical guidelines for EP diagnosis and treatment from the American Society of Gynecological Endoscopy, the Norwegian Society for Gynecology and Obstetrics, the draft clinical guidelines "Endometrial polyps" from the Russian Society for Obstetrics and Gynecology (as of July 28, 2022, not approved by the Russian Ministry of Health); as well as the Royal College of Obstetricians and Gynecologists guideline on the management of women with endometrial hyperplasia. The review has led to the conclusion that the recommendations in the current clinical guidelines for the management of women with EP are inconsistent and the diagnostic algorithm for suspected EP is not well-established; the indications for the wait-and-see, surgical treatment of EP are not defined; criteria of high oncological risk requiring surgical treatment of EP are not formulated. Clarifying these issues will help gynecologists make informed decisions about treatment options

Mass-modulation schemes for a class of wave energy converters: Experiments, models, and efficacy

In a recent series of works, mass-modulation schemes have been proposed for a class of ocean wave energy converter (WEC). The goal of the schemes is to improve the energy harvesting capabilities of these devices by taking advantage of the ambient water. However this improvement comes at the cost of increased system complexity and possible impulse loadings at the instances where the mass changes. In the present work, experimental results for a pair of these schemes are presented and one of them is shown to be effective in increasing the energy harvesting potential of a WEC. Building and testing prototype WECs are costly and challenging and so, in order to examine as wide a range of parameters and designs as possible, a detailed two degree-of-freedom model is developed for a WEC equipped with a mass-modulation scheme. Numerical analysis of the model also shows the potential benefits of the mass-modulation scheme

Metabesity: pathogenetic bases and predictive capabilities. A review

One of the most pressing problems of our time is obesity, recognized by the WHO as a pandemic of the XXI century. It is important to remember that obesity is a full-fledged nosological entity, but many women think that obesity is just a problem of beauty and aesthetics. It is important to note that this nosology has a number of serious consequences, starting with the development of cardiovascular disease and ending with cancer. However, the “problem in the problem” is the so-called “metabesity” – a new term that reflects a number of diseases, the pathogenesis of which is based on the metabolic syndrome. Obesity, metabolic syndrome and metabesity seem to be different concepts, but the absolute identity of the pathogenetic basis characterizes them as successive stages of one global process. In this regard, it is necessary to highlight the key mechanisms of the development of the described disorders and to consider the concept of clinical management of patients in this cohort

Efficacy of laser remodeling in the genitourinary syndrome of menopause: A review

The real-world treatment of genitourinary syndrome of menopause has several limitations: contraindications to topical estrogen therapy, which is currently recognized as the "gold standard" treatment for vulvovaginal atrophy (VVA), fear of the systemic effects of topical estrogens or/and carcinophobia, and poor compliance of patients to intravaginal agents. Therefore, there is an unmet need for alternative noninvasive or minimally invasive therapies, mostly non-hormonal. A PubMed, Cochrane Library, Science Direct, and ELibrary databases were searched for the keywords CO2-laser, Er:YAG-laser, vulvovaginal atrophy, genitourinary syndrome of menopause, treatment, postmenopausal age for 20122022. Remodeling microablative laser therapy using carbon dioxide (CO2) is a promising method for treating VVA, acting pathogenetically and symptomatically. CO2 laser relieves VVA symptoms and improves the condition of the vaginal mucosa by enhancing regeneration and restoring vaginal pH. However, evidence of the efficacy and long-term safety of the method, obtained in high-quality studies, is needed before the method can be introduced into widespread clinical practice. Aim. To analyze and summarize the evidence-based and experimental data on the efficacy and safety of laser therapy for VVA and genitourinary syndrome of menopause

Vulvovaginal atrophy in the peri- and post-menopause: relevance and impact on quality of life

Vulvovaginal atrophy (VVA) is detected in more than 50% of postmenopausal women, and at 4049 years of age, 15-19% of women have relevant signs. Atrophic changes in the female urogenital system are associated with hypoestrogenism, which results in the defective synthesis of collagen and elastin due to reduced functional activity of fibroblasts. Although the symptoms of genitourinary syndrome of menopause significantly impair the quality of life, women rarely seek medical help for urogenital symptoms, considering them a normal condition for the period of aging. We searched Cochrane Library, PubMed, Science Direct, and ELibrary databases for the keywords vulvovaginal atrophy, genitourinary syndrome of menopause, quality of life, epidemiology, and postmenopausal age for 20122022. The literature review suggests that the prevalence of VVA is extremely high but underestimated due to the infrequent seeking of medical care by female patients with relevant symptoms. The genitourinary syndrome of menopause dramatically impacts patients' quality of life, but not all women eligible for treatment receive it. One of the reasons for refusing hormonal treatment is patients' fear of the systemic effects of hormonal drugs. There is an unmet need for alternative non-hormonal therapies. The objective is to analyze and systematize the scientific data accumulated over the past ten years on the epidemiology of VVA, its impact on patients' quality of life, and the challenges in diagnosing and treating the disease