| viXra.org > General Mathematics > 2305 |
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| viXra.org > General Mathematics > 2305 |
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[6] viXra:2305.0158 [pdf] submitted on 2023-05-26 01:24:13
Authors: Mustapha Bakani
Comments: 19 Pages. Chess problem solution Mathematics
The practice of the game of chess leads to the development of skills related to memory, logic, concentration, rigor, strategy and the capacity for abstraction. In addition to the benefits observed on learning citizenship, by respecting the rules and others. Solving chess problems is an interesting variation for realizing intellectual development. The common way is to present problems on the chessboard or through diagrams. Here, we present a new method of solving chess problems based on a purely mathematical solution. Concretely, it is a question of solving a chess problem thanks to the solution of equations and the mathematical analysis. Thus with a basic knowledge of mathematics, generally of the secondary level, we can proceed to the resolution with a minimum of knowledge of chess, given that the resolution is done from the algebraic notation of the said problem. Here we advance definitions, properties and theorems. Also we present here an example of a chess problem solved by the method.
Category: General Mathematics
[5] viXra:2305.0109 [pdf] submitted on 2023-05-14 07:33:31
Authors: Farid Soroush
Comments: 7 Pages.
Predicting key macroeconomic indicators such as Gross Domestic Product (GDP) is a critical task in quantitative finance and economics. Precise forecasts of GDP can help in policy-making, investment decisions, and understanding the overall economic health of a country. Machine learning has emerged as a powerful tool in this domain, offering sophisticated techniques for modeling complex systems and making predictions. This project presents a comparative analysis of three machine learning models — Gradient Boosting Regressor, Random Forest Regressor, and Linear Regression — for predicting GDP. Our aim is to assess their performance and identify the model that provides the most accurate forecasts.
Category: General Mathematics
[4] viXra:2305.0100 [pdf] submitted on 2023-05-12 01:40:49
Authors: Farid Soroush
Comments: 4 Pages.
In this paper, we discuss the computational model for pricing interest rate swaps using the QuantLib library in Python. This paper provides the practical implications of financial computational theory in the context of interest rate swaps, with an in-depth analysis of its present value, fair rate, duration, and convexity.
Category: General Mathematics
[3] viXra:2305.0093 [pdf] replaced on 2023-05-18 20:14:59
Authors: Juan Jorge Isaac Lopez
Comments: 8 Pages.
The Newton-Raphson method is the most widely used numerical calculation method to solve Real polynomial functions, but it has the drawback that it does not always converge. The method proposed in this work establishes the convergence condition and therefore will always converge towards the roots ofthe equation.
Category: General Mathematics
[2] viXra:2305.0059 [pdf] submitted on 2023-05-06 20:08:19
Authors: Yuji Masuda
Comments: 1 Page.
The main purpose of this chapter is to answer some of the questions that have been raised by defining the new +∞ and -∞ precisely, with a slight correction that still ensures the consistency of my definition series.
Category: General Mathematics
[1] viXra:2305.0047 [pdf] submitted on 2023-05-05 20:02:25
Authors: Bang Sun
Comments: 15 pages, written in English, licensed under CC BY-SA 4.0 license
The Pythagorean theorem is one of the most proved theorem of all time, most of the proofs use manipulation of areas to prove that the square of the hypotenuse is indeed the sum of the squares of the two legs. I often felt disconnected with the proofs, it was one of the situations where one could prove something, but could not quite see why. So here I present two dynamical and visualizing methods for proving the Pythagorean theorem.
Category: General Mathematics
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