Products related to Equation:
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Maxwell Equation: Inverse Scattering In Electromagnetism
How can one determine the physical properties of the medium or the geometrical properties of the domain by observing electromagnetic waves?To answer this fundamental problem in mathematics and physics, this book leads the reader to the frontier of inverse scattering theory for electromagnetism.The first three chapters, written comprehensively, can be used as a textbook for undergraduate students.Beginning with elementary vector calculus, this book provides fundamental results for wave equations and Helmholtz equations, and summarizes the potential theory.It also explains the cohomology theory in an easy and straightforward way, which is an essential part of electromagnetism related to geometry.It then describes the scattering theory for the Maxwell equation by the time-dependent method and also by the stationary method in a concise, but almost self-contained manner.Based on these preliminary results, the book proceeds to the inverse problem for the Maxwell equation.The chapters for the potential theory and elementary cohomology theory are good introduction to graduate students.The results in the last chapter on the inverse scattering for the medium and the determination of Betti numbers are new, and will give a current scope for the inverse spectral problem on non-compact manifolds.It will be useful for young researchers who are interested in this field and trying to find new problems.
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Raman Scattering on Emerging Semiconductors and Oxides
Raman Scattering on Emerging Semiconductors and Oxides presents Raman scattering studies.It describes the key fundamental elements in applying Raman spectroscopies to various semiconductors and oxides without complicated and deep Raman theories. Across nine chapters, it covers:• SiC and IV-IV semiconductors,• III-GaN and nitride semiconductors,• III-V and II-VI semiconductors,• ZnO-based and GaO-based semiconducting oxides,• Graphene, ferroelectric oxides, and other emerging materials,• Wide-bandgap semiconductors of SiC, GaN, and ZnO, and• Ultra-wide gap semiconductors of AlN, Ga2O3, and graphene. Key achievements from the author and collaborators in the above fields are referred to and cited with typical Raman spectral graphs and analyses.Written for engineers, scientists, and academics, this comprehensive book will be fundamental for newcomers in Raman spectroscopy. Zhe Chuan Feng has had an impressive career spanning many years of important work in engineering and tech, including as a professor at the Graduate Institute of Photonics & Optoelectronics and Department of Electrical Engineering, National Taiwan University, Taipei; establishing the Science Exploring Lab; joining Kennesaw State University as an adjunct professor, part-time; and at the Department of Electrical and Computer Engineering, Southern Polytechnic College of Engineering and Engineering Technology.Currently, he is focusing on materials research for LED, III-nitrides, SiC, ZnO, other semiconductors/oxides, and nanostructures and has devoted time to materials research and growth of III-V and II-VI compounds, LED, III nitrides, SiC, ZnO, GaO, and other semiconductors/oxides. Professor Feng has also edited and published multiple review books in his field, alongside authoring scientific journal papers and conference/proceeding papers.He has organized symposiums and been an invited speaker at different international conferences and universities.He has also served as a guest editor for special journal issues.
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The Piano Equation
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Zero sum equation
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What is the wave equation in optics?
The wave equation in optics is a partial differential equation that describes the behavior of light waves as they propagate through a medium. It is derived from Maxwell's equations and governs the behavior of electromagnetic waves in the context of optics. The wave equation describes how the electric and magnetic fields of light waves evolve over time and space, and it is fundamental to understanding phenomena such as refraction, diffraction, and interference in optics. Solving the wave equation allows us to predict and analyze the behavior of light in various optical systems and devices.
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What is the physical problem of the lens equation in optics?
The physical problem of the lens equation in optics arises from the fact that light rays passing through a lens can converge or diverge, leading to different image formation scenarios. The lens equation relates the object distance, image distance, and focal length of the lens, but it can have multiple solutions or no real solution depending on the specific configuration of the lens and object. This can result in situations where no real image is formed, or where the image is virtual and cannot be projected onto a screen. Understanding the physical implications of the lens equation is crucial for predicting and analyzing image formation in optical systems.
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What is the mesh equation and the node equation?
The mesh equation is a fundamental equation used in circuit analysis to calculate the current flowing in a loop of a circuit. It is based on Kirchhoff's voltage law and states that the sum of the voltage drops around a closed loop in a circuit is equal to the product of the current flowing in the loop and the total resistance of the loop. The node equation, on the other hand, is used to calculate the voltage at a specific node in a circuit. It is based on Kirchhoff's current law and states that the sum of currents entering a node is equal to the sum of currents leaving the node. This equation is used to solve for the voltage at a particular node in a circuit.
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'Equation and what?'
Equation and inequality are two fundamental concepts in mathematics. An equation is a statement that two expressions are equal, while an inequality is a statement that two expressions are not equal. Equations are used to find the value of a variable that makes the equation true, while inequalities are used to compare two quantities. Both equations and inequalities are essential tools in solving mathematical problems and modeling real-world situations.
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The Dating Equation
2 best friends. 1 perfect match. Could you solve the equation for love if you’ve never had it yourself? Twenty-six-year-old Penny Webber has never had a boyfriend, but she’s about to launch a new dating app with her best friend, Rory, designed to make dating less shallow.What could possibly go wrong? As soon as LEVEL launches, it’s an immediate hit.Challenged by her team, but discouraged by Rory, she hits download on her very own app to prove a point.Alongside dating, she juggles her brother's wedding plans, mediating between divorced parents and supporting her flatmate through heartbreak.All while navigating her increasingly complicated partnership with Rory… As LEVEL sends her further down a rocky path of failed dates, Penny’s faith in her ability to help others find love falters.But what if Penny is wrong about her ability to crack the equation for love?What if, all this time, it’s been where she least expected it?
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The Memphite Equation
The locations and physical descriptions are factual - the prophetic embellished future is yet to be foretold.During July 15-17, 2007, an epochal event occurred in Manchester, England - the first international biblical conference on the 3000-year-old copper scroll, which later brewed a dangerous controversy.The copper scroll is among a group of scrolls found in 1947 and 1952, but this is the only one carved in metal and is not strictly a religious scroll.Dr. David E. Burton, a recent Harvard graduate, attended the conference.After Q&A, when what he saw didn't come up, feeling baffled, he shared his idea that there was an equation on the scroll.From that moment, his life, family, an old and enigmatic organization (existing since 1863) he later joins, and the world change forever.
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The Memphite Equation
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Equation to Confidence
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Is a linear equation the same as a parameter equation?
No, a linear equation and a parameter equation are not the same. A linear equation is an equation of the form y = mx + b, where m and b are constants and x and y are variables. A parameter equation, on the other hand, is an equation that contains parameters, which are variables that represent certain values in the equation. Parameter equations can be linear or non-linear, but the presence of parameters distinguishes them from regular linear equations.
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How can one reduce this equation to a quadratic equation?
To reduce an equation to a quadratic equation, one can use the method of substitution. By substituting a variable for a certain expression in the equation, one can transform the equation into a quadratic form. Another method is completing the square, which involves rearranging the equation to isolate the quadratic term and then adding or subtracting a constant to complete the square. Additionally, one can use the quadratic formula to solve for the roots of the equation, which can help in reducing the equation to a quadratic form.
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Where has photonics gone?
Photonics has advanced and expanded into various industries and applications, including telecommunications, healthcare, manufacturing, and defense. It has enabled the development of faster and more efficient communication systems, medical imaging technologies, high-precision manufacturing tools, and advanced military equipment. Photonics has also made significant contributions to renewable energy technologies, such as solar cells and LED lighting. Overall, photonics has become an integral part of modern technology and continues to drive innovation in a wide range of fields.
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How can one convert a coordinate equation into a normal equation?
To convert a coordinate equation into a normal equation, you can start by rearranging the equation to isolate the dependent variable on one side. Then, you can simplify the equation by combining like terms and performing any necessary operations. Finally, you can rewrite the equation in standard form, which typically involves expressing the equation in terms of y = mx + b, where m is the slope and b is the y-intercept.
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