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Abstract 鈥?A common activity in popular culture is the formation of top lists: the top 100 songs of all time Cheap Buccaneers Hats , the 50 favorite movies, the top 100 movie stars and so on. These top lists are then publicized on radio and on the inter-net. In this paper, which is part research, part expository and part computer simula-tion Cheap Buccaneers T-Shirts , we examine the mathematics of form-ing such lists in the situation where there are no measurable head-to-head comparisons and the compilation of the ranked list is formed by respondents鈥?choices. There is an implied assumption that the compiled lists fomr a representative list of a true ranked list. statistical and therefore form a rep-resentative picture of a 鈥渢rue鈥?ranked list. We construct statistical models for these list formations and define a true ranking in two different ways. We then prove several para-doxical results that show non-significant cor-relation between the true ranked list and the compiled list. For example, we show that there exist populations which contain an item that has a true ranking of number one but for which this item will not appear on any compiled list. These results are related to Arrow impossibility theorem (see [1]) in the theory of elections. A computer simula-tion was conducted in conjunction with the study to determine whether these paradoxes are aberrations. The simulations show that these aberrations only occur with low prob-ability and on average there is a positive but weak correlation between the compiled list and the true ranked list.

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Benefits Of Running Free Webinars ECommerce Articles | April 30, 2013
If you are looking for new ways to gain exposure for your business Cheap Buccaneers Hoodie , consider running free webinars. A webinar is the same thing as a seminar except that it is conducted over the Internet. With the help of free webinar software, potential clients ...


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Interact with Potential Clients


Free webinars also offer an excellent opportunity to interact with potential clients. At the end of your presentation, it is recommended that you set aside some time to answer some questions people may have. This will help you clear up any concerns someone may have about the products or services you are marketing during your webinar.


Also Matt Gay Buccaneers Jersey , you will be able to forge a close connection with your prospective clients during your question and answer sessions, making your business seem more personable. If someone knows he can get advice from an industry expert, he will be more willing to work with that business in the future.


When using webinars as a way to promote your business, it is important that you remember to provide your guests with something of value. Whether that something of value is useful knowledge Anthony Nelson Buccaneers Jersey , an e-book, or some other type of helpful guide does not really matter. You just want to make sure all of your guests leave your webinar feeling that it was worthwhile to attend.


If you are able to convince your attendees that your webinar was well worth their time, they will be more receptive to your future marketing communications as you seek to grow your business.

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