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Shuffling a pack of cards isn't as easy as you think, not if you want to truly randomise the cards. Most people will give a pack a few shuffles with the overhand o…

Researchers have developed new mathematical model to predict breast cancer growth, occurrence of metastases. Personalized medicine is a healthcare approach in which med…

Malaria  is One of the most common infectious diseases in the world, malaria causes public health problems and depresses the economy of infected areas. When untreated …

A researcher at The University of Texas at Arlington has used mathematical modeling to demonstrate that negative peer pressures can spread in a high-risk setting, infl…

Oxford researchers are taking part in an international study to film the teaching of quadratic equations for secondary school pupils. The hope is that lessons will be …

For everything, there is a cause and effect. Your GPA doesn’t just go down without certain mistakes on your part. If you have realized that your academic performance n…

PROPOSITION Let $f$ and $g$ be a non-zero polynomial in $k(t)$ show that : there exists a unique polynomial such that (1) $d$ divides $f$ and $g$ (2) if $d$ divi…

Differences between Reducible and Irreducible Polynomial To distinguish between reducible and irreducible polynomial we use the properties of both polynomials which…

Metric spaces Let X be a non-empty set,a metric $d$ on X is a function $d:X\times{X}\rightarrow\mathbb{R}$ which satisfy the following distance properties: for all $…

Simple function Let $(X,\sum)$ be a measurable space, A simple function on X is a function of the form $\phi=\sum^n_{j=1}c_{j}X_Ej$, where for each $j-1,2,...,n$ an…

Measure A Measure on $(X,\sum)$ is a function $\mu:\sum\rightarrow[0,\infty]$ such that the following conditions are satisfied:

The extended real number system the extended real number system is obtained from the real number system $\mathbb{R}$ by adding two elements $+\infty$ and $-\infty$ …

Algebra $\mathbb{A}$ This is the collection $\mathcal{A}$ of subsets of X where X is a nonempty set, satisfying the following conditions. (i)$\phi\epsilon\mathcal…

The Borel Sets The Borel sets are simply defined as the elements of the borel $\sigma-algebra$. In topological space, the borel sets are sets in a topological space…