Master the fundamentals first for a smoother ride through math Basic Math & Pre-Algebra Workbook For Dummies is your ticket to finally getting a handle on math! Designed to help you strengthen your weak spots and pinpoint problem areas, this book provides hundreds of practice problems to help you get over the hump. Each section includes a brief review of key concepts and full explanations for every practice problem, so you'll always know exactly where you went wrong. The companion website gives you access to quizzes for each chapter, so you can test your understanding and identify your sticking points before moving on to the next topic. You'll brush up on the rules of basic operations, and then learn what to do when the numbers just won't behave—negative numbers, inequalities, algebraic expressions, scientific notation, and other tricky situations will become second nature as you refresh what you know and learn what you missed. Each math class you take builds on the ones that came before; if you got lost somewhere around fractions, you'll have a difficult time keeping up in Algebra, Geometry, Trigonometry, and Calculus—so don't fall behind! This book provides plenty of practice and patient guidance to help you slay the math monster once and for all. Make sense of fractions, decimals, and percentages Learn how to handle inequalities, exponents, square roots, and absolute values Simplify expressions and solve simple algebraic equations Find your way around a triangle, circle, trapezoid, and more Once you get comfortable with the rules and operations, math takes on a whole new dimension. Curiosity replaces anxiety, and problems start feeling like puzzles rather than hurdles.
To demonstrate reliability, simulation has emerged as the only practical solution to reduce or eliminate cost and time constraints associated with building and testing physical prototypes. In this paper, HFSS FEM was used for antenna design, optimization, and radome effects analysis. HFSS SBR+ was then used to investigate the effects of the bumper and car-facia interaction on the antenna radiation characteristics. A full-scale radar scene was then modelled in HFSS SBR+ and analyzed. Range plots and range-Doppler plots were presented for a complex traffic scene. Two automotive radar corner cases were investigated. A technique for mitigating road-slope-induced reduced radar returns was proposed and validated. Using full physics simulations, it was demonstrated how this technique can lead to early detection of pedestrians and potentially save lives. Finally, a technique for reducing the RCS of road construction metal plates was proposed to avoid accidental automatic emergency braking due to false target detection. This work shows how an entire automotive radar workflow can be simulated to develop optimal sensors, to account for installation effects, and to investigate active safety systems corner cases.