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  1. 1
    Fisher’s Exact Test: A Detailed Overview and Application in Statistical Analysis
    Words • 999
    Pages • 4

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    What is Fisher’s Exact Test? Fisher’s exact test is a very famous statistical test, which is based on hypergeometric distribution and is used to work out the associations between several variables in various researches. It is used to determine nominal data. Most commonly, this test is conducted on a 2 x 2 contingency table. It can be used on some other contingency tables bigger that 2 x 2 matrix but the problem is that it cannot be calculated manually. Although…
  2. 2
    Analysis of Nike’s Financial Health and Investment Recommendation
    Words • 1121
    Pages • 5

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    Executive Summary This case analysis of Nike, Inc. conducted as part of the Corporate Finance course at Northern Illinois University delves into the financial metrics to assess the cost of debt, equity, and ultimately, the Weighted Average Cost of Capital (WACC). The analysis identifies critical flaws in the initial report prepared by Joanna, particularly in calculating the cost of debt and equity using historical data instead of current market values. The recommendation section provides a detailed approach using the Discounted…
  3. 3
    Optimizing Porosity Measurement in HAP Bio-Ceramics Using Morphological Image Analysis
    Words • 981
    Pages • 4

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    Introduction The analysis of porous structures in bio-ceramics is crucial for understanding their suitability for biomedical applications, particularly in bone regeneration and repair. Traditional methods for pore analysis, while useful, often fall short in accurately delineating individual pores and quantifying their characteristics due to limitations in resolving connected pores and imprecise volume measurements. This work proposes a novel adaptive method based on morphological operation algorithms to address these challenges, enabling precise calculation of porosity and its classification. Methodology The objective…
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  4. 4
    Performance Analysis of Fir Filter Design Using Vedic Multiplier With Sqrt Based Carry Select Adder
    Words • 3923
    Pages • 15

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    Abstract In Digital signal processing, filters are used in all devices. Filters are used to extract a useful part from the input Signal and there queried part of the signal is reached to the receiver. In this Paper, FIR filter has been designed using a Vedic multiplier and SQRT-CSLA (carry select adder). Combination of both Vedic multiplier and SQRT-CSLA (carry select adder) makes the FIR filter faster. For reducing the area of CSLA, it can be implemented by using a…
  5. 5
    Efficient Face Recognition and Background Subtraction Applications
    Words • 2361
    Pages • 9

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    Abstract Various face acknowledgment strategies have been formulated and connected in the course of recent long stretches of innovative advancement. Fields like security and reconnaissance have broadly utilized face acknowledgment throughout the years as individuals are extremely worried as to recognizing and getting lawbreakers or individuals with mal aims. Getting them without having the capacity to speedily perceive and their appearances has been a noteworthy issue. An individual's facial highlights are dynamic and have variable appearances, which makes it an…
  6. 6
    Financial Analysis of Markies Catering’s UK Expansion
    Words • 2444
    Pages • 9

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    Introduction Markies catering is a reasonably sized company with between 201 - 500 employees and was founded in 1996. Markies Catering strives to encourage pupils at school to make the right, healthy choices in terms of eating and drinking and to show that responsible nutrition is tasty and fun they do this by, “thinking out of the box” and “always deliver what they promise”, according to their linkedin account. They specialise in Educational catering and is expanding to the UK.…
  7. 7
    Efficient Computation of the Wiener Index in Bicyclic Graphs
    Words • 1182
    Pages • 5

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    Abstract The Wiener index, a pivotal topological invariant in chemical graph theory, measures the sum of shortest distances between all pairs of vertices in a graph. This paper introduces an innovative method to compute the Wiener index of bicyclic graphs, which significantly reduces computational complexity. By dividing the bicyclic graph into subgraphs and leveraging modular arithmetic, the proposed method offers a more efficient calculation pathway. The effectiveness of this method is demonstrated through examples, showcasing its potential to streamline computations…
  8. 8
    Methodological Approach to Analyzing Financial Stress Test and Bank Performance in Nigeria
    Words • 1374
    Pages • 5

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    Introduction The path through which the study step-by-step analysis procedures are obtained is found in the methodology. As such, this study attempts its methodology under the following sub-headings: research design, population and sample, sources of data, method of data analysis and model specification employed. Research Design The research design to be adopted for this study is the quasi-experimental research design which is a type of behavioural sciences design. Specifically, it allows the usage of secondary data (pattern/trend/time – series), which…
  9. 9
    Solution of 2nd Order Ode by Numerical Methods Such as Picard’s and Runge-Kutta
    Words • 3597
    Pages • 14

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    Introduction The word differential and equation itself defines as an equation of derivatives or differentials. Differential equation (or “DE”) is the most important branch of mathematics in which mathematical equation is exhibited in form of functions and its derivatives of one or more dependent variables. Differential equation reveals correlation that involves the rate of change. such connection builds some precise for advanced ideas which led cautiously to mathematical model involving function and their respective derivatives .Differential equation is immensely interesting…
  10. 10
    Enhancing Addition Skills in Primary Education: Strategies and Insights
    Words • 2302
    Pages • 9

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    Abstract Addition is the first and most obvious of the four operation on numbers and perhaps, the one that children use most frequently in their everyday lives. The ability to add successfully is a basic and it is a reasonable expectation that the vast majority of primary learners should master addition with whole numbers. Success in addition creates a sound foundation for the development of many other numerical skills. Before learning addition in the formal way, learners already had informal…
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  11. 11
    Numerical Modeling of Pollutant Transport in a Rectangular Channel Using Finite Difference Methods
    Words • 1370
    Pages • 5

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    Abstract Now-a-days environmental degradation has increased throughout the world due to the inclusion of various pollutants into the water bodies. The issues of pollutant transport in the water-body either through continuous sources of pollution or instantaneous sources have a significant impact on environment in the wake of economic and industrial development of the countries. The numerical models are efficient tools to meet the challenges of accurate predictions of the distribution of contaminant concentrations in the rivers. The objective of the…
  12. 12
    Determine Belt Friction Using Belt Friction Apparatus
    Words • 607
    Pages • 3

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    Theory Flat belts have been used for power delivering for many centuries. They are simple and reliable with the ability to operate for longperiods without maintenance. Consider a piece of a belt wrapped around a pulley as shown in the figure below. Suppose the tensions in either side of the belt be T1 and T2. The maximum power which driver pulley could deliver can be transmitted when the belt is on the point of slipping. So at the point of…
  13. 13
    Balancing Mechanics: A Laboratory Exploration
    Words • 680
    Pages • 3

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    Introduction Balancing, a fundamental concept in mechanical engineering, ensures the stability and smooth operation of rotating machinery. This study explores the principles of static and dynamic balance through four meticulously designed experiments, highlighting the significance of precise mass placement on a shaft. During the laboratory session there were four main experiments. For the first 3 experiments all necessary data (angles, distances) were given to represent correctly the required system. Experiment 1: Static Balance Exploration During the first experiment, two masses…
  14. 14
    Solving Black-Scholes Equation for European Option Pricing Using Laplace Adomian Decomposition Method
    Words • 3671
    Pages • 14

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    Abstract In finance and investment, the Black-Scholes equa- tion is a very well-known model for pricing European call option. This equation is a partial differential equation which looks a little like the diffusion equation. In this paper, the Laplace Adomian Decomposition Method (LADM) is used to find the solution of the Black-Scholes equation with the boundary conditions for European option pricing. This decom- position method is an effective procedure for getting solutions without linearization, discretization, perturbation theory or other restrictive…
  15. 15
    Analyzing Methods for Solving Integral Equations
    Words • 3179
    Pages • 12

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    Introduction An integral equation is an equation in which the unknown function φ(x) to be determined appear under the integral sign. The subject of integral equations is most useful mathematical tools in all branches of mathematics. Integral equations have enormous applications in many physical problems. Many initial and boundary value problems associated with ordinary differential equation (ODE) and partial differential equation (PDE) can be transformed into problems of solving some approximate integral equations (Refs. [2], [3] and [6]). The development…
  16. 16
    Analytical Solutions of D-Dimensional Radial Schrödinger Equation for Sextic Potential using Extended Nikiforov-Uvarov Method
    Words • 1827
    Pages • 7

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    Abstract D-dimensional radial Schrödinger equation for sextic potential is solved by ex- tended Nikiforov-Uvarov (NU) method analytically. Using an appropriate co- ordinate transformation, the wave equation is reduced to basic equation of the extended NU method. Then eigenstate solutions are achieved in a systematic way. It is also presented that the reduced equation which gives polynomial part of eigenfunction solution, becomes biconfluent Heun equation. Therefore the eigenfunction solutions for the potential are attained in terms of biconfluent Heun polynomials when…
  17. 17
    Engineering System Optimization: Non-linear Programming and SQP Method
    Words • 1248
    Pages • 5

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    Introduction Non-linear programming (NLP) is crucial in solving various optimization problems in engineering, economics, and applied sciences. It involves minimizing or maximizing a non-linear objective function, subject to equality and inequality constraints. This essay delves into the mathematical foundations of NLP and introduces Sequential Quadratic Programming (SQP), a robust method for solving NLP problems. Non-linear Programming Problem Formulation A general non-linear programming problem can be expressed as: Objective: Minimize fobjective(x) Subject to: Equality constraints: eq(x)>0, for i=1,2,...neq Inequality constraints: iq(x)≥0,…
  18. 18
    Exploration of the Catenary Curve in Hyperbolic Function
    Words • 2359
    Pages • 9

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    Rationale My inspiration for this math exploration arose after spending a couple of weeks on the topic calculus. I was always wondering the math higher level syllabus, which it does not seem applicable in our daily life. Therefore, I often argue with my teacher, why do we have to learn mathematics if it is not applicable in the real world. However, when I do more research, I have discovered mathematics exist with physics do lie around us. As a result,…
  19. 19
    An Exploration Through Depreciation, Transaction Recording, and Cash Flow Analysis
    Words • 958
    Pages • 4

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    Introduction In the realm of financial accounting and analysis, understanding the nuances of asset management, transaction recording, and cash flow is crucial for both theoretical knowledge and practical application. This essay delves into these concepts through a series of answers to an internal assignment for the NMIMS Global Access School for Continuing Education (NGA-SCE) for the December 2019 examination. Asset Depreciation Analysis Depreciation is a method of allocating the cost of a tangible asset over its useful life. In our…
  20. 20
    Determinants of Price to Earnings Ratio
    Words • 1399
    Pages • 6

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    Abstract This study delves into the impact of key performance indicators (KPIs) on the Price to Earnings (P/E) ratio, employing secondary data to conduct a linear regression analysis over a six-year period across 27 firms within Pakistan's fuel, energy, coke, and refined petroleum products sectors. It seeks to ascertain the significance of net income growth and dividend cover ratio on the P/E ratio, addressing the need for an aggressive approach towards production and dividend consistency to enhance company profitability and…
  21. 21
    Analyzing the Cost of Capital: A Comprehensive Guide for Walmart
    Words • 2378
    Pages • 9

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    Introduction The concept of cost of capital is pivotal in capital budgeting and crucial for corporations like Walmart to make informed investment decisions. It represents the funding cost a company incurs for projects or assets, which can be financed through various sources such as debt and equity. The cost of capital serves as the benchmark rate for evaluating the profitability of investment projects. Cost of Capital: A Vital Metric Cost of capital is necessary for capital budgeting. It is a…
  22. 22
    Actuarial Mathematics: Enhancing Insurance Risk Management
    Words • 2517
    Pages • 10

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    Abstract An Actuarial Mathematics is a science use arithmetic, measurements, and money related assumption which is used in a business for the control of risk which helps to examine future events, particularly in business to those risks which needs protection and benefits programs. Actuaries are frequently engaged in dealings with the risks that can possibly emerge in business and in big organization like Insurance industry, that helps to decide the risks coming out in business which helps to prevent from…
  23. 23
    A Study on the Winning Strategy of “The Game of Death”
    Words • 2367
    Pages • 9

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    Abstract The Game of Death is a typical game that teenagers play in South Korea. We play “The Game of Death” with N people. If you are able to avoid saying number 0 up to the end of the game, you win. We’ll explore the winning strategy of a team game in The Game of Death using the pigeonhole principle and concept of a prime number. In the team game, the starting team wins the game if the starter says…
  24. 24
    Integrating Financial Distress in Firm Valuation: An Analytical Approach
    Words • 2766
    Pages • 11

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    Abstract Financial distress significantly impacts firm valuation, necessitating methodologies that accurately incorporate its effects. This paper explores two distinct approaches to valuing firms under financial distress: the adjustment within the Discounted Cash Flow (DCF) valuation and the modification of the Adjusted Present Value (APV) model. Further, it delves into the application of multiple valuation techniques for distressed firms, highlighting the limitations and proposing practical solutions. Through theoretical frameworks and practical examples, including a detailed case study of Global Crossing, this…
  25. 25
    Navigating the Home Buying Process: A Mathematical Journey
    Words • 685
    Pages • 3

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    Introduction Buying a home is generally viewed as one of the big stepping stones in someone’s life. The enthusiasm of buying your first home can be tempered with all of the different aspects that come with this purchase. These aspects can range from researching different places to live; to determining which mortgage scenario would work for you; to closing costs; land transfer taxes; and calculating ratios to determine if you are even eligible for a mortgage. This assignment has you…
  26. 26
    Understanding Formulas in Excel
    Words • 3094
    Pages • 12

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    Formulas bring out the usefulness of a spreadsheet program. Formulas are used in the Excel worksheet to makes use of data stored to calculate results. When there’s a change in data, the system automatically updates itself, thereby saving you the stress of re-calculating. Understanding Formula Basics A formula deals with a special code that is typed into a cell. It carries out some calculation and then delivers a result which is shown in the cell. The formulas’ text and values…
  27. 27
    Cryptography: A Comprehensive Overview
    Words • 2347
    Pages • 9

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    Abstract This archive quickly gives important foundation of data in security and cryptography. It gives a concise presentation into symmetric-key and as-symmetric key cryptography, presents a few cryptographic natives and gives the nuts and bolts in understanding the foundation of how plain text is changed over into encoded message and back again to plain readable content utilizing decoding. This report further gives some unpleasant thoughts for execution. In conclusion, a short depiction of a portion of the fundamental disadvantages that…
  28. 28
    Analysis of Value at Risk (VaR) Methods in Financial Risk Management
    Words • 2451
    Pages • 9

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    Introduction There are certain risks affecting the financial markets. Credit risk, Market risk, Operational Risk, strategic risk, financial risk are some examples of risk. One of the ways for risk management is Value at Risk. Value at risk (VaR) summarizes the total risk in a portfolio. It is commonly used for assessing possible losses by financial institution, portfolio managers and various corporate agencies. It is a tool to measure risk in an investment in normal market circumstances, over a given…
  29. 29
    Total S.A.: A Comprehensive Financial Analysis
    Words • 1693
    Pages • 7

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    Introduction Total is a French multinational integrated oil and gas company, of which the origin can be traced back to 1924, the creation of Compagnie Française des Pétroles (CFP), also known as the French Petroleum Company. It then renamed itself Total CFP in 1985, to build on the popularity of its gasoline brand. Later in 1991, the name was changed to Total, when it became a public company listed on the New York Stock Exchange. As one of the seven…
  30. 30
    Analyzing the Impact of Parental Education and Religion on Algebra 1 Achievement
    Words • 832
    Pages • 4

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    Introduction The tests performed are explained in this report by comparing the statistics of the religious people, father’s and mother’s who completed algebra 1 in their higher secondary education. The dataset containing the performance of education of the people as well as their parent’s education has been analysed using SPSS software. The types of tests that will be perform are: Independent Sample-T test Chi Square test Mann-Whitney-U test The output from the tests mentioned above will help to find the…
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  31. 31
    Analyzing Financial Performance: A Case Study of Permodalan Nasional Berhad
    Words • 2262
    Pages • 9

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    Permodalan Nasional Berhad (PNB) is the company we choose to analyse and evaluate the financial performance in year 2016 and 2017. This company are investment holding. The main purpose is to promote greater ownership of share capital in the corporate sector. According that, we analyse the type of business by the company and operates; besides we discuss about the decline on gearing ratio from year 2016 to 2017. Briefly explain the proportion of a company's borrowed funds to its equity…
  32. 32
    Formula for Calculating Economic Value Added (EVA)
    Words • 1822
    Pages • 7

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    Abstract The goal of all companies is to maximize the shareholder’s value. The shareholder’s wealth is measured by the returns they receive on their investment. Returns are in two parts, first is in the form of dividends and the second in the form of capital appreciation reflected in market value of shares. Currently investors world are demanding shareholder’s value than just high returns. In India, the concept of shareholder value is gaining ground, particularly after the liberalization on foreign holdings…
  33. 33
    Viability Assessment of Affordable Housing
    Words • 1073
    Pages • 4

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    Introduction According to the policies, at least 35% of affordable housing is needed to be met for a new project. To understand the profits and returns generated from the project, the appraisal of the proposed development should be accessed. This report will provide an assessment of the viability of the 0.36 Ha Dockley Road Industrial Estate located in the Bermondsey area of the London Borough of Southwark. Methodology This report will assess the affordable housing viability in the Dockley Road…
  34. 34
    Statistical Analysis of Outcomes in Card Decks: A Mathematical Exploration
    Words • 1077
    Pages • 4

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    Abstract In this study, we explore the mathematical concepts of tree diagrams, probability, expectation, combination, and standard deviation to analyze the outcomes of card draws from decks of 52 and 104 cards. This analysis provides insights into the probabilities of drawing number or picture cards in successive draws, with an emphasis on understanding how these probabilities and expected values change when the deck size is doubled. The investigation also delves into the calculation of total outcomes using combinations and examines…
  35. 35
    Analyzing Inventory Costing Methods: FIFO, LIFO, and Average Cost
    Words • 1140
    Pages • 5

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    Introduction Inventory management and costing are crucial aspects of a company's operational efficiency and financial reporting. Among the various methods, First-In, First-Out (FIFO) is widely recognized for its straightforward approach, assuming that the earliest products purchased are the first ones sold. This method aligns the cost flow with the physical flow of goods, making it intuitive for managing inventory costs. FIFO Method Calculation and Its Implications FIFO Ending Inventory and Cost of Goods Sold (COGS) Using the FIFO method, we…
  36. 36
    Optimizing Semisolid Casting Processes Using Grey Relational Analysis
    Words • 710
    Pages • 3

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    Abstract This study employs a Grey Relational Analysis (GRA) methodology to optimize the parameters of electromagnetic stir casting for semisolid slurries, specifically focusing on AM60 alloy. By normalizing experimental data and calculating grey relational grades and coefficients, this research aims to identify the optimal casting conditions. The process is divided into several steps, including data normalization, grey relational coefficient calculation, grey relational grade computation, determination of optimum levels, and calculation of grey relational grade for the optimal level. This paper…
  37. 37
    Mining High Utility Itemsets without Candidate Generation
    Words • 2257
    Pages • 9

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    Abstract High utility thing sets allude to the arrangements of things with high utility like benefit in a database, and productive mining of high utility thing sets assumes a pivotal job in numerous genuine applications and is a significant research issue in information mining zone. To distinguish high utility thing sets, generally existing calculations initially produce up-and-comer thing sets by overestimating their utilities, and along these lines figure the precise utilities of these applicants. These calculations acquire the issue that…
  38. 38
    Financial Analysis and Future Outlook of Permodalan Nasional Berhad (PNB)
    Words • 3352
    Pages • 13

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    Executive Summary Permodalan Nasional Berhad (PNB) is the company we choose to analyse and evaluate the financial performance in year 2016 and 2017. This company are investment holding. The main purpose is to promote greater ownership of share capital in the corporate sector. According that, we analyse the type of business by the company and operates; besides we discuss about the decline on gearing ratio from year 2016 to 2017. Briefly explain the proportion of a company's borrowed funds to…
  39. 39
    The Mathematics Behind the 24 Game: A Computational Approach
    Words • 2045
    Pages • 8

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    Introduction 24 point, also called 24 game, is a type of intellectual training game based on Algebra calculation on Mathematics. It is an arithmetical card game that asked people to use 4 random integer number to get a result of 24 through algebra calculation. In this study, we will focus on the basic mathematical theories behind the 24 game as well as the methods and the tips on how to solve 24 games accurately and rapidly. Background and Origins of…
  40. 40
    Analyzing MySales Group PLC’s Financial Health
    Words • 955
    Pages • 4

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    Abstract This essay delves into the financial performance of MySales Group PLC over a four-year period, from 2016 to 2019, focusing on various financial ratios that offer insights into the company's profitability, operational efficiency, liquidity, capital structure, and investor returns. Through a detailed analysis of ratios such as gross profit margin, operating profit margin, inventories turnover, trade payables payment period, current and acid test ratios, gearing ratio, interest cover ratio, and earnings per share, we aim to provide a holistic…
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