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  Chaos Theory

  IntroBooks Team

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  Mathematics contains an important study field under the name Chaos theory. Chaos theory studies the concept and behavior of highly insensitive dynamical systems. It also studies behavior of dynamic systems in initial conditions, which often turns out to be super sensitive at a very high level. In Chaos theory, this concept is referred as Butterfly effect, which is the main field of study in this theory. From which, various branches are spread and constantly progressing and being developed. Various initial conditions are made because of some numerical errors in computations. These errors provide wildly diverging results for some dynamic systems. This makes it almost impossible to predict the behavior of long-term rendering. This happens even when behavior of this system is determined by initial conditions of very same system and no random elements are involved in process. Dynamic systems with such conditions are known as deterministic. In simple words, it can be said that such deterministic behavior or say nature of any kind of dynamic system is not able enough to make them predictable. Such deterministic behavior is known as deterministic chaos or just chaos. The whole theory of chaos is based on this simple fact. Each concept of chaos theory is based on these handful statements. Thus, an attempt was made by Edward Lorenz in order to describe the main concept of chaos theory in a single definition. 
  According to him: 
  “Present can determine the future, but approximate present cannot determine approximate future.” 
  Many natural systems such as weather, climate, etc follow the rules of chaos theory. They possess the same chaotic behavior as described in chaos theory. Not only natural system, but some artificial systems, or system that contains artificial components also follows the same chaotic behavior. Road traffic is a great example of such artificial system since it contains multiple artificial components that are not a part of nature. Chaotic mathematical model is analyzed in order to understand such behaviors of natural and artificial dynamic systems. For such analyzing process, analyzing techniques such as recurrence plots and Poincare maps are implemented. 
  Following is a list of fields and disciplines in which chaos theory is applied or is applicable:MeteorologySociologyPhysicsEnvironmental scienceComputer scienceEngineeringEconomicsBiologyEcologyPhilosophy 
  These are the field, in which chaos theory has been successfully applied, that too with expected results. There are many other fields, in which research is still going on about application of chaos theory. 

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  Animal Lessons - Discovering...

  Danielle MacKinnon

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  Develop a deeper, more positive relationship with the animals in your life and become a better person using Animal Lessons. All around you, animals are acting as therapists, trainers, mentors, and gurus—if you pay attention. They want to guide you toward the next step in your personal evolution, and this first-of-its-kind book shows you how to understand and benefit from them. 
  Having worked deeply and intuitively with animals for nearly twenty years, Danielle MacKinnon has a wealth of wisdom that she shares through helpful tools and techniques, client stories, and her step-by-step process for personal growth through animal guidance. With an open heart and mind, you'll develop a new awareness and stronger love of yourself as well as the wise creatures in your life.

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  Brain Training - Techniques for...

  Adrian Tweeley

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  How would you like to develop a super brain? 
  As we all know, we only use a small portion of our brain, and just like muscles in other parts of our body, the brain can be trained to function better. The author will take you by the hand and show you what’s possible, and you will be amazed at what you are capable of. No fluff, just getting to the point and indicating all the power of the mind you aren’t using. You will hear, among others:What Lumosity is and how you can use itBrain training exercises you might not have heard about beforeWhy it’s okay to do brain training games and even video gamesHow brain training can keep you looking and feeling youngThe most important conditions to keep your brain active, healthy, and highly functionalHealth benefits to a powerful brainAnd much more! 
  Don’t miss out on this concise guide to train your brain the right way.

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  Very Deep Healing Sleep Hypnosis...

  Dreamy Hypnosis

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  Are you struggling to find deep, restorative sleep? Do you yearn for a healing slumber that rejuvenates your mind, body, and spirit? What if you could experience the ultimate healing sleep through the power of hypnosis? 
  Immerse yourself in an innovative audiobook that utilizes sleep hypnosis to guide you towards profound healing rest. As you sink into the comfort of sleep, the audio guide works to foster a healing environment within your subconscious mind. 
  Narrated by professional hypnotherapists, the soothing narratives and tranquil soundscapes create the perfect ambiance for a deep, restorative sleep. In this serene state, your body can truly begin to heal and rejuvenate. 
  Imagine waking up feeling refreshed, revitalized, and ready to face the day. Picture yourself energized, your body and mind healed and restored through the power of deep, rejuvenating sleep. Start your journey to deep healing tonight. Embrace this transformative sleep hypnosis experience and allow yourself to be guided into the ultimate healing slumber. It's time to gift yourself the deep, restful, healing sleep that you deserve.

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  The Dogs that Made Australia -...

  Guy Hull

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  Hunter. Worker. Legend. The untold story of the dog's role in building a nation. 
    
  The Dogs That Made Australia pays tribute to the dogs that gave their all for our prosperity: the fearless hounds that saved fledgling colonies from famine; the courageous heelers and tireless collies that powered the rise of beef and wool; the tough little home-grown terriers that protected the homestead and garden; and the extraordinary police dogs, ahead of their time, loved by the nation. The selfless exploits of our heroic dogs are writ indelibly in our nation's heritage and identity. The Dogs That Made Australia is a vivid and meticulously researched history of Australia told from the perspectives of the dingo and of the dogs that were imported and developed here, as well as the humans who loved, feared and worked them. 
  PRAISE 
  'A highly readable book about Australia's dog heroes and their contribution to Australia's development. This is a book for the ages. I loved every page!' Tony Parsons, OAM, author of The Kelpie'This should be on every school list for every primary school. It is a fantastic Australian history reference' Narelle Hammond, Secretary, Australian Cattle Dog Society of NSW

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  Sabertooth

  Mauricio Antón

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  “A unique review of the many unusual and nearly worldwide occurrences of sabertooths and their relatives over more than 50 million years.” —Choice 
   
  With their spectacularly enlarged canines, sabertooth cats are among the most popular of prehistoric animals, yet it is surprising how little information about them is available for the curious layperson. What’s more, there were other sabertooths that were not cats, animals with exotic names like nimravids, barbourofelids, and thylacosmilids. Some were no taller than a domestic cat, others were larger than a lion, and some were as weird as their names suggest. Sabertooths continue to pose questions even for specialists. What did they look like? How did they use their spectacular canine teeth? And why did they finally go extinct? In this visual and intellectual treat of a book, Mauricio Antón tells their story in words and pictures, all scrupulously based on the latest scientific research. The book is a glorious wedding of science and art that celebrates the remarkable diversity of the life of the not-so-distant past. 
   
  “The best paleomammal artist working today [and] his knowledge of sabertooths and their evolution is second to none.” —Lars Werdelin, Swedish Museum of Natural History 
   
  “Mauricio Antón is one of the best paleoartists. What sets him apart is the fact that he is a great paleontologist in his own right. Probably no one else has thought more about sabertooth than he has. As a result, his illustrations often demonstrate a particular behavior of the extinct mammal that he has personally researched or display a unique point of view.” —Xiaoming Wang, Natural History Museum of Los Angeles

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