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Member You - Search: A Tail of Mathematics (Part 1)
Download Free Movies ture and the calculated data.Freebies delight many of us and computer users are lucky to be able to download free movies from the Internet. There are several hundred sites advertising downloads of free movies but some are in the business peddling illegal fare. The trend to download free movies has also irked movie studios that fear a Napster-like piracy of music and movies via the Internet.The free movies available online are usually those in the public dom So what does this all mean? Well, firstly it shows that although Search Engine Marketing does not necessarily obey the 80/20 principle, in terms of keyword research it does obey another simple mathematical principle, that of exponential decay. Secondly, the fact that we can mathematically work with equations that define the long tail opens up several possibilities especially in terms of investigating the quantity of keywords in the tail vs. the bulk high search keywords. In Part 2, I will investigate some of the possible applications of the exponential decay prediction In a previous article, I alluded to the similarity between some common mathematical equations which describe certain social behavior and the search theory of the "long tail". My thinking evolved when I noticed a similarity between the curve used to represent the long tail and another curve I had seen during the course of my studies years ago. The mathematical theory which I am referring to is that of exponential decay, represented by the formula exp(-ax). If one were to plot the curve of exponential decay for various values, the curve looks remarkably like the curve for search representing the long tail. There are many examples of things around us at a social level which obey the laws of exponential decay. Also in the sciences we see many phenomenons like air pressure vs. height above sea level that obey the law of exponential decay. So to try to put some weight behind my assumptions, I decided to do an actual experiment. I used the Overture Keyword Suggestion tool around the keywords dog food. I took the list of keywords it suggested and these keywords I then ranked from most frequently searched to least frequently searched. The list contained 97 Keywords, with the most frequently searched 2983 times and then tailing down to number 97 with a lowly 272 searches. To see the graph representing my findings, please click here. Plotting these keyword searches out on a graph vs. number of keywords confirmed my initial suspicion that the curve of the tail of search resembled that of an exponential decay curve. Next, I created a second curve using exp(-ax). For those of you not familiar with exponential decay x represents the number of terms and a is a constant. I set this constant to 1/25 or 0.04 and plotted it out. The result was very encouraging as one can see a clear correlation between the data from Overture and the calculated data. So what does this all mean? Well, firstly it shows that although Search Engine Marketing does not necessarily obey the 80/20 principle, in terms of keyword research it does obey another simple mathematical principle, that of exponential decay. Secondly, the fact that we can mathematically work with equations that define the long tail opens up several possibilities especially in terms of investigating the quantity of keywords in the tail vs. the bulk high search keywords. In Part 2, I will investigate some of the possible applications of the exponential decay predictions The mathematical theory which I am referring to is that of exponential decay, represented by the formula exp(-ax). If one were to plot the curve of exponential decay for various values, the curve looks remarkably like the curve for search representing the long tail. There are many examples of things around us at a social level which obey the laws of exponential decay. Also in the sciences we see many phenomenons like air pressure vs. height above sea level that obey the law of exponential decay. So to try to put some weight behind my assumptions, I decided to do an actual experiment. I used the Overture Keyword Suggestion tool around the keywords dog food. I took the list of keywords it suggested and these keywords I then ranked from most frequently searched to least frequently searched. The list contained 97 Keywords, with the most frequently searched 2983 times and then tailing down to number 97 with a lowly 272 searches. To see the graph representing my findings, please click here. Plotting these keyword searches out on a graph vs. number of keywords confirmed my initial suspicion that the curve of the tail of search resembled that of an exponential decay curve. Next, I created a second curve using exp(-ax). For those of you not familiar with exponential decay x represents the number of terms and a is a constant. I set this constant to 1/25 or 0.04 and plotted it out. The result was very encouraging as one can see a clear correlation between the data from Overture and the calculated data. So what does this all mean? Well, firstly it shows that although Search Engine Marketing does not necessarily obey the 80/20 principle, in terms of keyword research it does obey another simple mathematical principle, that of exponential decay. Secondly, the fact that we can mathematically work with equations that define the long tail opens up several possibilities especially in terms of investigating the quantity of keywords in the tail vs. the bulk high search keywords. In Part 2, I will investigate some of the possible applications of the exponential decay prediction So to try to put some weight behind my assumptions, I decided to do an actual experiment. I used the Overture Keyword Suggestion tool around the keywords dog food. I took the list of keywords it suggested and these keywords I then ranked from most frequently searched to least frequently searched. The list contained 97 Keywords, with the most frequently searched 2983 times and then tailing down to number 97 with a lowly 272 searches. To see the graph representing my findings, please click here. Plotting these keyword searches out on a graph vs. number of keywords confirmed my initial suspicion that the curve of the tail of search resembled that of an exponential decay curve. Next, I created a second curve using exp(-ax). For those of you not familiar with exponential decay x represents the number of terms and a is a constant. I set this constant to 1/25 or 0.04 and plotted it out. The result was very encouraging as one can see a clear correlation between the data from Overture and the calculated data. So what does this all mean? Well, firstly it shows that although Search Engine Marketing does not necessarily obey the 80/20 principle, in terms of keyword research it does obey another simple mathematical principle, that of exponential decay. Secondly, the fact that we can mathematically work with equations that define the long tail opens up several possibilities especially in terms of investigating the quantity of keywords in the tail vs. the bulk high search keywords. In Part 2, I will investigate some of the possible applications of the exponential decay prediction Plotting these keyword searches out on a graph vs. number of keywords confirmed my initial suspicion that the curve of the tail of search resembled that of an exponential decay curve. Next, I created a second curve using exp(-ax). For those of you not familiar with exponential decay x represents the number of terms and a is a constant. I set this constant to 1/25 or 0.04 and plotted it out. The result was very encouraging as one can see a clear correlation between the data from Overture and the calculated data. So what does this all mean? Well, firstly it shows that although Search Engine Marketing does not necessarily obey the 80/20 principle, in terms of keyword research it does obey another simple mathematical principle, that of exponential decay. Secondly, the fact that we can mathematically work with equations that define the long tail opens up several possibilities especially in terms of investigating the quantity of keywords in the tail vs. the bulk high search keywords. In Part 2, I will investigate some of the possible applications of the exponential decay prediction So what does this all mean? Well, firstly it shows that although Search Engine Marketing does not necessarily obey the 80/20 principle, in terms of keyword research it does obey another simple mathematical principle, that of exponential decay. Secondly, the fact that we can mathematically work with equations that define the long tail opens up several possibilities especially in terms of investigating the quantity of keywords in the tail vs. the bulk high search keywords. In Part 2, I will investigate some of the possible applications of the exponential decay predictions in terms of the search tail. A key factor here will be the investigation of quantitative research rather than financial research. Ultimately we will have to tie these two together to optimize a keyword strategy.
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