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Where Technical Writing Meets Scientific Writing - "Euclid's Proof"



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By : araikordaina katamdi    29 or more times read
Submitted 2010-08-25 22:03:20
Technical writing shares a variety of characteristics and overlaps with different varieties of writing, as well as business, inventive, copy, and scientific writing.

Technical writers, for instance, additionally make wonderful science writers since they do not always have to write user manuals and different normal products of the trade. They can use their procedural writing skills, analytical thinking, and interest in scientific topics to jot down articles explaining scientific facts to a general population.

Here is an example, explaining the Greek mathematician Euclid's (325-270 BC) proof that there are an infinite number of prime numbers; i.e., those natural numbers which will be divided solely by themselves and 1.

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TITLE: Euclid's Proof that There are an Infinite Number of Prime Numbers
Euclid, the Greek mathematician who lived 325-270 BC, has proven that there can't be a finite range of prime numbers which they are truly infinite in number.

Do you wonder how he did it?
Here are the steps that Euclid followed (with because of Douglas Hofstadter and his should-scan book "I Am A Strange Loop"):
1. Let's assume that there are a FINITE number of prime numbers in the universe. If we tend to will prove that this is IMPOSSIBLE, then we will recognize that the other various MUST be true - that, there must be an INFINITE range of prime natural numbers within the universe.

2. If there are finite number of prime numbers, there must be one last final prime range P that's bigger than all the others. There has got to be such a variety that defines the "upper border" of this cluster of all known prime numbers.

3. Let's multiply EVERY prime range in this group with each alternative prime number to urge a ridiculously giant number that we have a tendency to'll call Q. By definition, we tend to will divide Q with ANY and ALL prime numbers during this set since Q is that the multiplication of all of them.

4. Currently let's think of the very next natural range: Q+1. We have a tendency to understand for sure that this is often NOT a primary range since P is that the last and largest prime range and it is safely kept within the FINITE balloon of all known prime numbers.

5. Since Q+1 is not prime, we grasp it has to be a COMPOSITE number. That is, it's to be divisible by something different than one or itself. Why? Because all non-prime numbers are composite numbers which will be divided by at least one prime number.

6. Therefore what will be the prime number that divides Q+1? Will or not it's two? No, because 2 could be a prime range that divides Q. Since Q+1 is adjacent to Q, and since no 2 even numbers will be right next to at least one another along the continuum of natural numbers, we apprehend that Q+one can not be a good variety and therefore cannot be divided by 2.

7. Can Q+one be divided by the prime variety three? No, as a result of Q is divisible by 3 and no 2 numbers divisible by three can be neighbors.

8. Irrespective of that prime variety "p" you select, it cannot divide both Q and Q+1. Since they continually divide Q (by definition), they'll never divide Q+1.

NOTE: Here is another manner of claiming the identical issue: "Multiples of prime variety "p" will never be next door neighbors along the continuum of positive natural numbers."

9. This contradicts our original assumption that Q+one must have a main range divisor. Since that is not possible, we have a tendency to have proven that a fictitious number like Q+one cannot exist.

10. Since Q+one cannot exist, this is often a symbol that there cannot be a finite variety of prime numbers in the universe.

11. If there can't be a finite range of prime numbers within the universe, this is often an indication that there are INFINITE variety of prime numbers in the universe.
Author Resource:- Brook James has been writing articles online for nearly 2 years now. Not only does this author specialize in Technical Writing (Writing and Speaking), you can also check out his latest website about:

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