Get true answers from experts in Mathematics.
Knowing how to divide fractions can be helpful when going to be working with them directly. It is not too difficult in terms of understanding how it works but can be challenging if not patient enough. There isn’t much in the way of requirements and some tips. Doing it with smaller numbers will make the transition to larger numbers much easier because of having the basics down to a science.
Calculation of real eigenvalues of a square matrix is often required in physical problems. In most of the cases it is not possible to find the eigenvalues by hand and we need to use numerical methods. In this article I have discussed one such method with a C program involving finding determinant of a matrix by the method of Gaussian elimination and determining roots of an equation using the method of bisection.
Series expansions of the inverse trigonometric functions are often required in physics and mathematics. In this article I have described a novel method of finding the expansions using the knowledge of derivative, integration and binomial expansion. This method cleverly avoids the cumbersome method Taylor expansion, involving higher order derivatives of those inverse trigonometric functions which are very difficult to calculate.
The calculation of exact functional values of Riemann Zeta functions, zeta(n), require complicated calculations or numeric, but they can easily be approximated by doing mere calculations by hand. In this article I have discussed a very simple method of approximating zeta functions and also provided a “C” code for a better approximation.
Puzzles have perplexed human mind for centuries. In this article I am going to talk about one such baffling puzzle on infinite exponentiation which will lead to a simple non-linear equation. During the course of solving we will learn how to analyze stability of a solution of an algebraic equation. This will reveal one application of non-linear dynamics on simple mathematical problems.
This article describes how to convert a decimal number into a negative base with a number of illustrations. The process involves four steps:
1. Convert the decimal number into the base b,
2. Break up the number in even and odd parts
3. Convert the odd part into negative base
4. Add the converted parts to obtain final answer
Finding area of an ellipse is a very cumbersome task using conventional calculus but using some trick that can be done very easily. In this article I have shown how to do that. The method makes use of the natural length scale inherent in the physical problem. Application of the same method is used to determine the volume of an ellipsoid.
This articles is about chi square testing and what steps are used to determine the value of the chi square testing. Also, this article is about understanding degrees of freedom/probability values and how it relates back to chi square testing. This article gives readers a step by step approach in finding the chi-square value and the probability value using the chi-square value.
The functions and applications of mathematics are vital and very useful in every day transactions. People from all walks of life use mathematics from simple counting to a more complex and complicated problem solving. Learning mathematics is challenging and difficult but you can learn and understand it fast if you just exert extra effort.
A step-by-step procedure on how to solve ANOVA for Complete Random Design using Microsoft Excel...
How do you multiply a fraction? This is a common query that is not
only asked by children but even adults as well. By definition, a
fraction is a figure representing a portion of a whole number.
This article discusses How to Solve Linear Equations with Two Unknown Values.
The article discusses the concepts and rules for solving equations with one unknown value.
A guide on how to compute statistics using Microsoft Excel.
This article is an introduction to prime numbers. This includes the fundamental theorem of arithmetic, a test for primality, and a proof that the number of primes are infinite.
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