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Archive for the ‘Math Tips’ Category

Series: Types of Series and Types of Tests

Monday, July 25th, 2011

A series is an infinite addition of an ordered set of terms. The infinite series often contain an infinite number of terms and its nth term represents the nth term of a sequence. A series contain terms whose order matters a lot. If the terms of a rather conditionally convergent series are suitably arranged, the series may be made to converge to any desirable value or even to diverge according to the Riemann series theorem. Let the terms in a series be denoted by the symbol, an , and the nth partial summation be denoted using the following sigma notation for any natural number n:

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The Platonic Solids

Monday, July 25th, 2011

The objects commonly referred to as platonic solids are regular solids or better still, they are called regular polyhedra. The solids are convex polyhedra that have equivalent faces made up of regular polygons that are congruent-the word polyhedra means ‘’many faces’’ in Greek. There are exactly five of the platonic solids called polyhedra and they are:

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Hempel’s Ravens Inductive Logic

Monday, July 25th, 2011

The German philosopher Carl G Hempel, in his beautiful and elegant treatise written in 1965, demonstrated that there were flaws in the long held scientific processes of inductive reasoning, generalization, and falsifiability of logic as it is commonly understood and practised.

The background of inductive reasoning: Hempel used raven as a central point of his argument against the long held pattern of scientific reasoning and he used the following example: Imagine that you had taken a long walk as a scientist and you happened to see a raven that you noted to be black, you might make your comment and say, ‘’I saw a black raven.’’ If sometimes after that you noticed a few more ravens that were black, you might say ‘’what a perfect coincidence, these other ravens are black too.’’ If time passed by and in your adventure you happened to see more ravens that were black, the chances are that you could say ‘’this is much more that coincidence’’ and with the instincts and natural practice of an observant scientist, you therefore form a hypothesis ‘’All ravens are black.’’
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Arithmetic and its Fundamental Theorem

Thursday, July 14th, 2011

The natural number system-the set of numbers that comes to us naturally- is comprised of mainly composite and prime numbers. Numbers obtained by multiplying two other numbers are composite numbers while prime numbers are numbers whose factors are themselves and 1 only. Examples of composite numbers include numbers such as 6 which is obtained by multiplying 2 and 3. Prime numbers 2 and 3 are said to be the factors of 6 or they are divisors of 6. Prime numbers are so many and they are typically known as numbers with two factors only-itself and 1.
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High Quality Online Calculus Homework Solutions

Thursday, July 14th, 2011

Calculus homework assistance is of a great importance for all the students who have faced this subject. Although the majority of students face calculus assignments almost every day, a lot of them cannot cope with it on their own. That’s the reason why many students approach online web companies with ‘solve my calculus problemorsolve my graph theory’ requests looking for professional experts ready to render calculus assistance of any complexity.
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