Here, we derive a closed‐form GN model for this problem and verify it by comparing with the integral‐form GN model and split‐step Fourier method. The FMF nonlinearity has been already modelled as the Gaussian noise (GN) for which no closed‐form formulation has been developed so far. In this paper, in order to alleviate the FMF nonlinear effects, we focus on power allocation in FMF links by optimizing the input power of each optical WDM channel of each spatial mode, which leads to maximizing the total capacity transmission and also the minimum signal to noise ratio (SNR) margin. However, a major barrier in this regard is the FMF nonlinear effects, which can significantly reduce the link performance. Also, combining the MDM with wavelength‐division multiplexing (WDM) is a promising approach for dramatically growing the transmission capacity in such systems. Mode‐division multiplexing (MDM) using few‐mode fibre (FMF) has received increasing attention to address the exponential growth of data traffic in long‐haul optical communication systems. The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series. Where classical problems are concerned, such as those given in Olympiads or proposed by famous mathematicians like Ramanujan, the author has come up with new, surprising or unconventional ways of obtaining the desired results. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. There are only about 10 instances of mild and moderate language, and sexual content is mostly limited to kissing.This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. Putting that aside, it’s a sweet and enjoyable story. One drawback is that I figured out at the beginning the big “secret” Jade didn’t know about until the very end, so it seemed a bit ridiculous the author expected us not to know or to believe Jade didn’t guess it either. I enjoyed this book more than Williams’ Trusting You and Other Lies. The characters are real and their banter and relationship is fun to follow. But he’s keeping something back from Jade, and that secret might be what keeps them apart despite all that’s good between them – besides the undeniable fact that she only has the summer before going back to her regular touring life with her mom.Īlmost Impossible is a cute book that’s a fun, quick read, perfect for summer. Quentin really does seem like a great guy. Jade and Quentin do have a lot of fun together, and their attraction is undeniable. Quentin has other plans: He keeps talking to her and asking her to do things with him, and she finally breaks down and spends time with him, which leads to her sneaking out in the evenings because her aunt is the exact opposite of her mom: very protective and holding a short leash. But Jade intends to quietly enjoy her summer reading her favorite classic books, not dealing with someone like him. All the girls can’t keep their eyes off him. He clearly is trouble, not just with a capital T, but all the way: T-R-O-U-B-L-E. There she meets the good-looking and, of course, annoying Quentin. Jade decides to get a job, and she ends up landing one right away at a swimming pool, working the concession stand. So she stays with her aunt and uncle in California while her mom and her now very popular band travel the world on a headlining tour. But this summer before her last year of high school (schooling has always been home school, of course), Jade wants to experience a “typical” teen summer. She’s had freedom most teens wouldn’t be given, but she’s been responsible. It’s what she’s known, and she wouldn’t trade it for anything: She’s been able to see lots of countries and meet plenty of people and be with her mom. Jade Abbott has spent her whole life on the road her mom is in a band and always traveled for concerts.
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