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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 DeSean Jackson Eagles Jersey , 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 Dallas Goedert Eagles Jersey , 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鈥檚 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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India is famed all over the world for its rich culture that dates back centuries. And what better place to delve into this heritage than visiting ancient shrines that have been frequented by the devout since times immemorial. Here are some of the most fascinating and famous ancient temples that mark the landscape of India. Ramanathaswamy Temple, Rameshwaram Ramanathaswamy Temple has quite an intriguing history. It is believed to be the place where Lord Rama worshipped Lord Shiva on his journey back from Lanka. The shrine is also considered to be one of the 12 holy jyotirlingas and is home to 22 teerthams. It is believed that any Hindu who bathes in these is atoned of hisher sins. Book cheap flights and get ready to learn more interesting facts about the temple. Ranakpur Jain Temple Carson Wentz Eagles Jersey , Rajasthan Ranakpur Jain Temple is one of the most magnificent places of worship you will ever come across. It is nothing short of an architectural wonder, embellished with exquisitely carved sculptures. The construction of the structure began in 1446 but could not be completed in the next five decades. The ingenuity and the craftsmanship with which the structure has been built will leave you awe-struck at the first sight of it. There are about 1444 pillars keeping the temple standing tall and no two of these are same. Jagannath Temple, Puri Swathes of people flock to the city of Puri in Orissa every year and the reason for most to grab a flight booking offer is visiting the sacred Jagannath Temple. Tracing it origin to the 11th century, Jagannath Temple is one of the 鈥榗har dhams鈥?of the Hindu faith. The best thing about visiting Jagannath Temple is that you not only get to explore this magnificent monument but also the many points of interest that dot the cityscape of Pune. A few to name are Puri Beach Brian Dawkins Eagles Jersey , Chilika Lake, Sun Temple, Satapada and Raghurajpur. Meenakshi Amman Temple, Madurai Meenakshi Amman Temple is among the biggest reasons that people flock to the city of Madurai in Tamil Nadu. It is one of the oldest and most significant temples in all of India. It is believed that this is where Lord Sundareswarar Randall Cunningham Eagles Jersey , a form of Lord Shiva married Meenakshi, a form of Parvati. The temple is also known for its stunning architecture and that is why a vast number of holidaymakers also pay a visit to this place of worship. Make your online hotel booking in advance and save money on the booking. Lingaraja Temple, Bhubaneswar The pride of Bhubaneswar, Lingaraja Temple is another historical religious site in Orissa. Although most parts of the temple were built in the 11th century Womens Clayton Thorson Jersey , some parts of it were originally built in the 6th century, making it one of the oldest shrines in India. It also finds a mention in Brahma Purana, one of the revered scriptures of Hindu religion. Small shrines dedicated to various deities are also located within the temple. Sri Venkateswara Swamy Vaari Temple, Andhra Pradesh Located on the seventh peak of Venkatachala or Venkata Hill Womens Shareef Miller Jersey , Sri Venkateswara Swamy Vaari Temple, better known as Venkateswara Swamy Temple, is counted among the major centre of spirituality in South India. The shrine and the various teerthams surrounding it have been mentioned in numerous religious scriptures including Brahma Purana, Vamana Purana Womens JJ Arcega-Whiteside Jersey , Brahmanda Purana, Varaha Purana and more. As per Hindu religion, ever Hindu must visit the temple in his life at least once to find atonement. These are among the most famous historical places of worship in India, there are numerous others as well that you can visit to explore Indian heritage. Khajuraho Temple Womens Miles Sanders Jersey , Akshardham Temple, Shri Digambar Jain Lal Mandir, Shirdi Sai Baba Temple and Sree Padmanabhaswamy Temple are a few to name. Book hotels near these places with HappyEasyGo to save a few bucks. If you have a habit of reading, it is difficult to control due to the same custom blackberry receives a steady dose of good books at all times. So there they are. You need a steady supply of books to feed this habit Womens Andre Dillard Jersey , but your wallet is empty, however. Instead of over-using your credit card or your precious resources, why not think of a cheaper way to buy books? You can use the methods listed below to find books at bargain prices that will undoubtedly be lower than prevailing market prices of . Cheap Jerseys Cheap Jerseys China Cheap Jerseys Cheap Authentic Jerseys Cheap Jerseys Wholesale Cheap Jerseys China Free Shipping Cheap Jerseys Wholesale Cheap Soccer Jerseys Cheap NHL Jerseys Cheap Football Hoodies