Delivering Lung Cancer Care During the COVID–19 Pandemic

Early and timely diagnosis of any disease, especially cancer; Increases the chances of treatment and recovery; Therefore, it is better to be aware of the symptoms of lung cancer in the continuation of this article. It is advisable to first get acquainted with the causes of lung cancer so that we can assess our situation. The most important causes of lung cancer are smoking and other tobacco products, genetic mutations and family history. Second- and third-hand cigarette smoke and environmental pollutants such as air pollution also play a role in the development of this cancer. Of course, the role of colorless gas and the smell of radon and occupational exposure to compounds such as asbestos, arsenic and nickel should not be overlooked. Once we know the causes of lung cancer, we can look at its symptoms in our body. The most important symptoms of lung cancer are persistent cough, fatigue and lack of energy, and unexplained weight loss. Coughs such as coughing up blood and shortness of breath are other important symptoms of this cancer. Stomach, back, shoulder, and chest pain, as well as pain in the head, neck, and jaw, are other symptoms. In order to prevent lung cancer, special points should be considered, which we will mention in the following. The main advice is to avoid smoking and also not to be exposed to secondhand smoke; Therefore, avoid using any tobacco and quit if you smoke. People who are in work situations and exposure to things like asbestos should try to minimize this exposure and use breathing masks. Opening windows and covering cracks in walls and floors is important to reduce radon concentrations. It is recommended to eat more vegetables and fruits, especially cabbage, orange vegetables and garlic. It is important to note that awareness of the symptoms of the disease is very important for early diagnosis and thus increase the chances of treatment. Keywords: Cancer; Cells; Tissues; Tumors; Prevention; Prognosis; Diagnosis; Imaging; Screening, Treatment; Management

Pointwise monotonicity of heat kernels

In this paper we present an elementary proof of a pointwise radial monotonicity property of heat kernels that is shared by the Euclidean spaces, spheres and hyperbolic spaces. The main result was discovered by Cheeger and Yau in 1981 and rediscovered in special cases during the last few years. It deals with the monotonicity of the heat kernel from special points on revolution hypersurfaces. Our proof hinges on a non straightforward but elementary application of the parabolic maximum principle. As a consequence of the monotonicity property, we derive new inequalities involving classical special functions.

Impact of COVID-19 Pandemic on Lung Cancer Treatment Scheduling

Early and timely diagnosis of any disease, especially cancer; Increases the chances of treatment and recovery; Therefore, it is better to be aware of the symptoms of lung cancer in the continuation of this article. It is advisable to first get acquainted with the causes of lung cancer so that we can assess our situation. The most important causes of lung cancer are smoking and other tobacco products, genetic mutations and family history. Second- and third-hand cigarette smoke and environmental pollutants such as air pollution also play a role in the development of this cancer. Of course, the role of colorless gas and the smell of radon and occupational exposure to compounds such as asbestos, arsenic and nickel should not be overlooked. Once we know the causes of lung cancer, we can look at its symptoms in our body. The most important symptoms of lung cancer are persistent cough, fatigue and lack of energy, and unexplained weight loss. Coughs such as coughing up blood and shortness of breath are other important symptoms of this cancer. Stomach, back, shoulder, and chest pain, as well as pain in the head, neck, and jaw, are other symptoms. In order to prevent lung cancer, special points should be considered, which we will mention in the following. The main advice is to avoid smoking and also not to be exposed to secondhand smoke; therefore, avoid using any tobacco and quit if you smoke. People who are in work situations and exposure to things like asbestos should try to minimize this exposure and use breathing masks. Opening windows and covering cracks in walls and floors is important to reduce radon concentrations. It is recommended to eat more vegetables and fruits, especially cabbage, orange vegetables and garlic. It is important to note that awareness of the symptoms of the disease is very important for early diagnosis and thus increase the chances of treatment. Keywords: Cancer; Cells; Tissues, Tumors; Prevention, Prognosis; Diagnosis; Imaging; Screening; Treatment; Management

SOLVING THE PROBLEM OF DETERMINING THE LOCATION OF AN UNMANNED AERIAL VEHICLE IN THE COORDINATE COUNTING MODE USING A TECHNICAL VISION SYSTEM

Представлено обоснование использования оптико-электронной системы в качестве навигационно-измерительного комплекса. Проведен краткий анализ существующих систем навигации, применимых для беспилотного летательного аппарата, и предложен алгоритм обеспечения системы видеонаблюдения в режиме счисления координат с помощью системы технического зрения. Задачу счисления координат БЛА с использованием видеопоследовательностей изображений земной поверхности можно решить с высокой точностью с помощью бинокулярной СТЗ. Однако в случае выхода из строя одной из камер определение координат местоположения будет продолжаться с достаточной точностью для решения поставленной задачи. А недостаток измерительных средств обеспечивается за счет использования 6 особых точек земной поверхности. Поэтому предложен алгоритм определения местоположения с помощью монокулярной системы технического зрения. Для решения задачи определения местоположения выделяются и определяются координаты особых точек на изображении поверхности. Для нахождения особых точек была выполнена обработка оцифрованного изображения методом FAST-9. Так как изображение получается цветным, то процедура нахождения особых точек является надежным путем применения метода FAST-9 для двух или даже трех цветовых компонент. Данная процедура позволяет достигнуть высокой точности определения счисляемых координат БЛА. Для решения задач счисления координат предпочтительно использование методов простых итераций, Брауна или Ньютона We present the rationale for the use of an optoelectronic system as a navigation-measuring complex. We carried out a brief analysis of existing navigation systems applicable to an unmanned aerial vehicle and propose an algorithm for providing a video surveillance system in the reckoning mode using a vision system. The problem of reckoning UAV coordinates using video sequences of images of the earth's surface can be solved with high accuracy using a binocular TVS. However, in case of failure of one of the cameras, the determination of the coordinates of the location will continue with sufficient accuracy to solve the task. And the lack of measuring instruments is ensured through the use of 6 special points of the earth's surface. Therefore, we propose an algorithm for determining the location using a monocular vision system. To solve the problem of determining the location, we selected and determined the coordinates of the singular points on the surface image. To find the special points, we processed the digitized image using the FAST-9 method. Since the image is obtained in color, the procedure for finding special points is reliable by applying the FAST-9 method for two or even three color components. This procedure allows you to achieve high accuracy in determining the reckoning coordinates of the UAV. To solve problems of reckoning coordinates, it is preferable to use the methods of simple iterations, Brown or Newton

Transient processes in a gas/plate structure in the case of light loading

The problem of a pulse excitation in an acoustic half-space with a flexible wall described by a thin plate equation is studied. The solution is written as a double Fourier integral. A novel technique of estimation of this integral is developed. The surface of integration is deformed in such a way that the integrand is exponentially small everywhere except the neighbourhoods of several ‘special points’ that provide field components. Special attention is paid to the pulse associated with the coincidence point of the branches of the dispersion diagram of the acoustic medium and the plate. This pulse is shown to be a harmonic wave of a finite duration.

Integrating linear ordinary fourth-order differential equations in the MAPLE programming environment

This paper reports a method to solve ordinary fourth-order differential equations in the form of ordinary power series and, for the case of regular special points, in the form of generalized power series. An algorithm has been constructed and a program has been developed in the MAPLE environment (Waterloo, Ontario, Canada) in order to solve the fourth-order differential equations. All types of solutions depending on the roots of the governing equation have been considered. The examples of solutions to the fourth-order differential equations are given; they have been compared with the results available in the literature that demonstrate excellent agreement with the calculations reported here, which confirms the effectiveness of the developed programs. A special feature of this work is that the accuracy of the results is controlled by the number of terms in the power series and the number of symbols (up to 20) in decimal mantissa in numerical calculations. Therefore, almost any accuracy allowed for a given electronic computing machine or computer is achievable. The proposed symbolic-numerical method and the work program could be successfully used for solving eigenvalue problems, in which controlled accuracy is very important as the eigenfunctions are extremely (exponentially) sensitive to the accuracy of eigenvalues found. The developed algorithm could be implemented in other known computer algebra packages such as REDUCE (Santa Monica, CA), MATHEMATICA (USA), MAXIMA (USA), and others. The program for solving ordinary fourth-order differential equations could be used to construct Green’s functions of boundary problems, to solve differential equations with private derivatives, a system of Hamilton’s differential equations, and other problems related to mathematical physics.

Pole-skipping and hydrodynamic analysis in Lifshitz, AdS2 and Rindler geometries

The “pole-skipping” phenomenon reflects that the retarded Green’s function is not unique at a pole-skipping point in momentum space (ω, k). We explore the universality of pole-skipping in different geometries. In holography, near horizon analysis of the bulk equation of motion is a more straightforward way to derive a pole-skipping point. We use this method in Lifshitz, AdS2 and Rindler geometries. We also study the complex hydrodynamic analyses and find that the dispersion relations in terms of dimensionless variables $$ \frac{\omega }{2\pi T} $$ ω 2 πT and $$ \frac{\left|k\right|}{2\pi T} $$ k 2 πT pass through pole-skipping points $$ \left(\frac{\omega_n}{2\pi T},\frac{\left|{k}_n\right|}{2\pi T}\right) $$ ω n 2 πT k n 2 πT at small ω and k in the Lifshitz background. We verify that the position of the pole-skipping points does not depend on the standard quantization or alternative quantization of the boundary theory in AdS2× ℝd−1 geometry. In the Rindler geometry, we cannot find the corresponding Green’s function to calculate pole-skipping points because it is difficult to impose the boundary condition. However, we can still obtain “special points” near the horizon where bulk equations of motion have two incoming solutions. These “special points” correspond to the nonuniqueness of the Green’s function in physical meaning from the perspective of holography.

Nonsymmetric Macdonald Superpolynomials

There are representations of the type-A Hecke algebra on spaces of polynomials in anti-commuting variables. Luque and the author [Sém. Lothar. Combin. 66 (2012), Art. B66b, 68 pages, arXiv:1106.0875] constructed nonsymmetric Macdonald polynomials taking values in arbitrary modules of the Hecke algebra. In this paper the two ideas are combined to define and study nonsymmetric Macdonald polynomials taking values in the aforementioned anti-commuting polynomials, in other words, superpolynomials. The modules, their orthogonal bases and their properties are first derived. In terms of the standard Young tableau approach to representations these modules correspond to hook tableaux. The details of the Dunkl-Luque theory and the particular application are presented. There is an inner product on the polynomials for which the Macdonald polynomials are mutually orthogonal. The squared norms for this product are determined. By using techniques of Baker and Forrester [Ann. Comb. 3 (1999), 159-170, arXiv:q-alg/9707001] symmetric Macdonald polynomials are built up from the nonsymmetric theory. Here ''symmetric'' means in the Hecke algebra sense, not in the classical group sense. There is a concise formula for the squared norm of the minimal symmetric polynomial, and some formulas for anti-symmetric polynomials. For both symmetric and anti-symmetric polynomials there is a factorization when the polynomials are evaluated at special points.

Evaluation of Nonsymmetric Macdonald Superpolynomials at Special Points

In a preceding paper the theory of nonsymmetric Macdonald polynomials taking values in modules of the Hecke algebra of type A (Dunkl and Luque SLC 2012) was applied to such modules consisting of polynomials in anti-commuting variables, to define nonsymmetric Macdonald superpolynomials. These polynomials depend on two parameters q,t and are defined by means of a Yang–Baxter graph. The present paper determines the values of a subclass of the polynomials at the special points 1,t,t2,… or 1,t−1,t−2,…. The arguments use induction on the degree and computations with products of generators of the Hecke algebra. The resulting formulas involve q,t-hook products. Evaluations are also found for Macdonald superpolynomials having restricted symmetry and antisymmetry properties.