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  • von Thomas Ernst
    26,00 €

    Did you ever ask God, "What do you want me to do?" Maybe you made some bad decisions in life, and you know God has a purpose for you. Or maybe you have been very successful with everything you've done, but you feel something is missing, and you know God wants you to do something special. So you are alone with God and you cry out to God to tell you what he wants you to do. "Please, please tell me what you want me to do. God, please tell me my purpose." No answer. So you talk to your clergy and ask why God does not answer you. They tell you, "Sometimes God says yes or no, or maybe, the answer is wait." What if the wait is that God answered you, but you did not hear him? Yes, I will say it again, maybe, what if the wait is that God answered you but you did not hear him? Maybe it is your relationship with God? What type of Christian are you? Are you a good sheep who has a strong relationship with God where you attended church and do your daily devotions? Are you a baad sheep (say it like a sheep would baa with a d) who only visits his house on Sunday and don't talk with him during the week? Just think, your strongest relationships in life are not where you spend an hour hearing about someone and you just listening.Also, what is going on with America today? Why is God being pushed out of his country. Yes, God's country. Israel is God's people, but America is God's country. God is on all the documents that make this great nation and on its currency. It is God's country. There is no way we can make America great again unless we turn back to God and work on our relationships with him. Is the chapter of Romans in God's book a warning to America? History does repeat itself. Maybe that is why some organizations want to change America's history and others want God out of this great country.So come with me on this journey to find out what type of Christian you are. Let's find out what type of sheep you are. Let's also find out if Romans, the chapter in the Bible, is a warning to America today.

  • von Thomas Ernst
    30,00 €

  • von Thomas Ernst
    95,00 €

    To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms.For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between q-hypergeometric functions and the q-gamma function, something that until now has been overlooked.The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations. Apart from a thorough review of the historical development of q-calculus, this book also presents the domains of modern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few.

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