In mathematics, derivatives are the rate of change of a function with respect to a variable, and they are necessary for answering complex mathematical problems and differential equations. In this paper, a detailed study on the use and concept of derivative that how it comes into existence, how it can be used to calculate the differential coefficients of a function at a particular point in an effective manner, and what are the applications of the rate of change of functions in mathematics as well as in real-life situations is presented. This study will help to understand the in-depth concept of calculus to the new researchers and students of mathematics.
This paper aims at the importance of mathematical modelling, its growing role and its applications. It is a myth that modelling projects progress easily from working through to utilize, this is scarcely ever the situation. In computer science, the use of modelling and simulating a computer is utilized to fabricate a mathematical model which contains key boundaries of the actual model. The study aims at the use and advantageous application of mathematical modelling in the COVID pandemic such as to understand the transmission of the virus, its solution to prevent the growth of the virus among the population, calculating the infected populations and giving a slight idea on the future predicted scenarios. Thus, its role and applicability in the pandemic are discussed by framing a mathematical model case to understand the transmission of the virus at the stage of the beginning of the pandemic. Thus, the study aims to give a basic idea of mathematical modelling, its uses and its role in the recent scenarios.
Key-Words / Index Term
Mathematical Modeling, application, pandemic, model
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In the modern world, matrices are considered to be of extreme use as they can be applied in fields like Chemistry, Physics, Economics, Construction, Finance, etc. In this work, the key applications empowered by framework hypothesis in two significant fields of interest in graphic designing, in particular video game designing. The paper centers on how ma-trices and their operations play a significant role in designing and manipulating the structure on a screen to make it realistic. Among the significant applications in video games, it has a significant role in Adobe Photoshop how we put our structures in suggested dimensions and move according to our comfort in it and this is possible because of matrices. The study brings up the significant commitment made by cryptography, the security process it carries with it so that no other person in between can decode the message and the message is delivered safely to the intended person. The significance pretended by grids in addressing and handling advanced pictures is portrayed by a few illustrative applications. This paper covers many other applications in matrices of how it is used in chemistry, physics, medical science, geology, economics, and many more
Key-Words / Index Term
Matrix theory, Rectangular array, linear equation, graphic designing, cryptography
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The existence of Euler and Hamiltonian graph make it easier to solve real life problem. During the time of pandemic “Covid -19” it is very essential for each one of us to be vaccinated. Vaccination is done in the hospitals by using Eulerian and Hamiltonian graph not only prevent people from infecting but also increase the speed of vaccination. In this paper, authors have discussed the use of graph theory to effectively handle the covid – 19 pandemic situations in the allocation of patients to appropriate hospitals. The work done in this paper, may be utilized for the hospital – patient management as well as for the study by upcoming researchers to utilize the graph theory in any complicated situations.
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An investigation has been made on evaluating the effectiveness of aromatherapy on depression among senior citizens residing in selected oldage homes. Pre experimental one group pre-test and post-test design was used for this study. The data collections were carried out over the period of 30 days. About 40 senior citizen subjects were selected through convenience sampling technique. In pre-test, Geriatric depression scale was used for assessing the level of depression among senior citizens. Aromatherapy was given by means of applying 5 drops of Neroli oil with 10ml of coconut oil at the forehead of all the subjects once in a day for 15 days. After completion of the intervention, the post test has been conducted among subjects. Descriptive and inferential statistics were used to analyze the findings of the study. It has been observed that a significant difference (P<0.01) in the mean score level of depression among senior citizens exist. The mean score were pretest 19.7 [± 4.22] and post test15.95 [± 4.74]. There was a significant association (P<0.05) was found between the depression score and selected demographic variables like gender, education, previous occupation, chronic health problems, marital status, support system. Henceforth, it has been claimed that, the aromatherapy helps to reduce the level of depression among the senior citizens.
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