People often wonder, “What is the perfect number?” What they do not know is that there is more than just one perfect number; there are many. Today’s research tells us that there are forty-eight perfect numbers. A perfect number is a number that is equal to the sum of its positive divisors, excluding its self. 6=1+2+3 28=1+2+4+7+14 18=1+2+3+6+9 (= 21)
To answer the question of what a perfect number is you need to know how to solve for a perfect number, who has been involved in coming up with perfect numbers, the criteria, and interesting facts about perfect numbers. Perfect numbers are more complex than just deciding whether a number is considered “perfect” or not. First, what you have to do to get a perfect number. Every scholar has invented their own formula to result in a perfect number. The most common formula is to take the factors of a number and add them together. If the sum of the factors, except the number itself, results in the original number then the number is perfect. Euclid invented a formula that is also used to solve for perfect numbers: 2p-1 (2p – 1) Ex.1: 21 (22 – 1)= 6 Ex.2: 22 (23 – 1)= 28
In this formula p stands for a prime number, therefore in the first example two is the prime number being used. You have two as the base because this is what the formula calls for, and then you subtract one from your prime number, two, to get two to the first power. Then inside your parenthesis you have two to the second power, the base taken from the formula
Though the definition was not in mathematical terms, the concept related to the idea which was used in mathematical terms. The Ancient Greeks also contributed to the idea of infinity. At the time Ancient Greeks did not define the word infinity, but were aware of the concepts from their surroundings. Since Ancient Greeks spent a lot of time studying the planets and stars, the thought of there being no beginning or end formed. Which is the current definition for infinity. The scientist Isaac Newton later made contributions to infinity. Isaac Newton “produced a theory on small numbers or infinitesimals as they are now known” (OnlineClock.net). Although Isaac Newton did put some sense to the idea of infinity, there was still some confusion dealing with the concept of infinity. Galileo Galilei then created the Galileo’s Paradox which showed that “set of counting numbers can correspond with smaller sets of their squares”. (OnlineClock.net). The understanding of infinity that is
I have an idea of a perfect being; it must contain in reality all the
‘I think prime numbers are like life. They are very logical but you can never work out the rules, even if you spent all your time thinking about them.’
Here, we introduce the Euler totient function φ(n), whose output is the number of positive integers less than n which are coprime to n. For primes p, this clearly becomes φ(p) = p − 1 . For n, we obtain, by elementary properties of the totient function, that
Include expressions that arise from formulas used in real world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
You’d start by multiplying the 6 by 2, since the 6 is next to a parenthesis symbol, which would give you 12, and you’d multiply the 6 with 1, which would give you 6 in return.
2. The rule in algebra about adding exponents is to ONLY add the base numbers if they are the same. If the base numbers aren't the same then you have to make the numbers the same before you continue.
Reason: Parentheses are used to specify the order of evaluation. Expressions within the parentheses are
For the ones who know three plus three equals does and must equal six, are not always for the principle of sufficient reason and “some even claim that the principle is false” (Rowe 55). Thus I believe that there are things and positive facts that do not need explanation.
The Number Devil- A Mathematical Adventure is a trade book by Hans Magnus Enzensberger that talks about the dreams of a boy named Robert. Robert is a typical boy who is in an algebra course. He hates anything involving numbers and feels intimidated any time that numbers are brought into the equation so to speak. Robert begins to dream about a “Number Devil” who starts to teach him the ways of numbers.
In this paper, I will discuss Descartes argument on a perfect being. In the reading “Meditations on First Philosophy” Descartes presents this argument; “Cogito Ergo Sum” or in simpler terms “I think, therefore I am.” During the creation of this argument, Descarte was going through this phase where everything that could be doubted meant that the object didn’t exist. For example, say you are watching a candle burn/melt, you can’t prove if the candle truly exists or if it’s just something that has been created out of a dream. Another example would say your looking in a mirror you don’t know if it’s really you, which means there is no proof that you exist; for all you know you could be possessed by a demon that is messing with your senses making it impossible for you to establish what is real and what is not. With this argument, it seems like it means that he doesn’t exist, but because he knows he can think and doubt this and that, it makes him real. Hence the saying, “I think, therefore I am.”
Descartes raises the idea that maybe he could be perfect. He says that all of his imperfections are potentials to his perfection. If he was perfect, then
We are not perfect. But how do we have of an idea of perfection without someone else telling us what it is? If someone told me about perfection, then they must know what perfection is, either by experience or by someone else telling them all the way back to the very first human being. That first human being was still a member of the human race, so they could obviously not be perfect. How did this first human being know of perfection without either experiencing it directly or having someone else explain it to them or even giving them the idea? The idea of perfection must have been implanted in that person's brain. We have the idea of infinity, Yet, we are not infinite beings living in a finite world, in a finite solar system, in an finite galaxy, in a finite universe.
Numbers are all
What is Autism? How is Autism classified? What causes Autism? Why do Autism happen? There are some many questions about Autism, and what it is. Many of those questions are still unknown. Everyday researchers are exploring reasons for these questions.