Classification of Groups Groups have a wide range at its fully expanded level. This range may include finite permutation groups and matrix groups to abstract groups. These groups are likely to be specified on the basis of their presentation by their very own generators and relations. One needs to get familiar with following main classification […]
A realistic representation Randomness in the popular language is the professed absence of predictability or pattern of occurrences. A random series of symbols, steps, or events also has no order and does not obey an intelligible pattern or mix. Single random events are by definition uncertain, but the occurrence of various outcomes over multiple events […]
The Following is an Excerpt from this Book Randomness is a theory used in social sciences and mathematics to refer to factors of chance that occur in such a way that the individual occurrences in a sequence of events or outcomes do not display a connection in their frequency to each other. Events are independent […]
What is randomness? It is simply an act or an event that is unknown to anyone and can happen at any time and any place. Two people are doing the same kind of jobs. Both are considerably rich for an average person. But one person looks more successful and makes more money than the other […]
On the eventful hurricane season of 2006, the National Hurricane Center in the United States came up with a forecast of hyperactive precipitation of approximately 8 to 10 successive cyclonic bouts. But ultimately, the ground reality was very straightforward, matching the average precedence. In the early decades of 2006, The Wall Street Journal predicted a […]
Deterministic systems are main subject of chaos theory. Chaos theory holds a great concern about these deterministic systems. Especially those systems, this behavior can be predicted that is within the scope of principle, and related concepts. In the beginning, such chaotic systems tend to be predictable. Later on, they turn out to be random. It […]
The algorithms we use every single day in every walk of life is simply originated by a mathematician. They are widely used in computer science and mathematics. We personally use it many times in our everyday routine. The algorithms provide step by step instructions for calculations. For the determination of solutions and the data analysis, […]
WHAT IS ALGEBRA? Basically, Algebra is about finding out the unknown value or it is about putting genuine issues into equations and afterward working them out. Usually, numerous course books go straight to the rules, strategies and formulas, overlooking the fact that real life problems are to be solved using it. So what exactly is […]
About this Book How many people think about this idea that whatever they have achieved in their lives can be partly because of the random events that just happened to be in favor of them? Not a lot. The thing is, people are yet to accept that a big part of their lives is governed […]
About this Book Nassim Nicholas Taleb is a Lebanese born American literateur, scholar, essayist, trade-cum-risk analyst, statistician and so on. His multi-faceted talent and the ability to wander freely amongst diverse faculty of subjects have made him a force to reckon with in the gamut of global intellectual society. Most of Taleb’s works are related […]
About this Book Under mathematics come a number of different branches of which one is Algebra. You need to learn maths from all aspects to order to outshine in your field of practice. Let’s say you want to become and engineer, actuaries or an architect maybe? You need to have a tight grip on maths […]
About this Book The Fibonacci sequence is a great way by which the different patterns can be noticed and understood. The Fibonacci sequence is used by a number of mathematicians, philosophers, architects, etc. The Fibonacci sequence was also used for the creation of some great buildings. The Fibonacci sequence is an amazing technique and probably […]
About this Book In old times, number theory was also known as arithmetic. However, now arithmetic and number theory are considered as separate branches from each other’s, it was not same in old times. Number theory is one of the many important branches of pure mathematics. This branch is mainly dedicated and includes study about […]
About this Book Mathematics contains an important study field under the name Chaos theory. Chaos theory studies the concept and behavior of highly insensitive dynamical systems. It also studies behavior of dynamic systems in initial conditions, which often turns out to be super sensitive at a very high level. In Chaos theory, this concept is […]
About this Book By many expert mathematicians, group theory is often addressed as a central part of mathematics. It finds its origins in geometry, since geometry describes groups in a detailed manner. The theory of polynomial equations also describes the procedure and principals of associating a finite group with any polynomial equation. This association is […]