Recent content by alena_S

A suggested list of books that could cover the topics mentioned above would be: 1. "Space Technology and Applications" by Michael A. G. Michaud 2. "Fundamentals of Defense Technology" by David L. Cooper 3. "The Beginner's Guide to Computers and Technology" by Mark Edward Soper 4. "Robotics...

Some textbooks that may be helpful for learning computational solid-state physics include:1. Computational Solid State Physics: An Introduction by Ronald Melrose2. Computer Simulation of Condensed Phases in Complex Geometries by Denis Ullmo3. Computational Methods for Electron-Phonon...

Yes, there are several courses available on Udemy that can help university students to learn how to read textbooks more effectively. Courses like "Speed Reading for University Students" and "Strategies for Reading Textbooks Effectively" teach effective techniques for quickly understanding and...

The quality of any book depends on its content and accuracy. In the case of Introduction to Chemistry fourth edition by Bauer, Birk, Marks, it appears that there are some inaccuracies in the book. The statement regarding Alkaline Earth Metals is incorrect, and the metal activity series is also...

One possible textbook with exercises is Open Quantum Systems, edited by H.-P. Breuer, F. Petruccione, and B. Vacchini. This book provides a comprehensive introduction to open quantum systems and their dynamics, and it includes exercises at the end of each chapter.

For literature recommendations regarding tensor networks, consider the following books:1. Tensor Networks: From Mathematics to Applications, by Stefan E. Schiefer. This book provides a comprehensive overview of tensor networks and their applications in physics, computer science, and mathematics...

This book looks like an interesting and informative read, as it provides an in-depth look at the history and evolution of the Internet. It appears to have good reviews from readers, and the author is highly respected in the fields of computer science and information technology. Therefore, it...

The best book I have found so far is "Optical System Design" by Robert E. Fischer, which covers the basics of optical system design and goes into more detail about how to design and analyze such systems. It also contains worked examples and exercises to help you develop your skills. It is also...

I haven't personally read this book, but I have heard good things about it from friends who have. It seems to be well researched and comprehensive. The table of contents looks very thorough and covers a wide range of topics related to the field.

This book is a comprehensive and in-depth introduction to conformal field theory with applications to string theory. It covers all the essential aspects of this complex subject, from the basics of conformal field theory to its applications for string theory. The writing is clear and accessible...

Evaluation of integrals is wrong? or all result?

Is this what I am supposed to get?

After some steps, I have obtained following for f3: $$\chi \ast \chi \ast \chi(x) = \begin{cases} 0, & x \notin [-2a,2a], \\ \int 1_{[-a,2a+x]}(y) \cdot (x+2a) \, dy, & x \in [-2a,-a], \\ \int 1_{[x,a]}(y) \cdot (x+2a) + 1_{[-a,x]}(y) \cdot (2a-x) \, dy, & x \in [-a,a] \\ \int 1_{[-2a+x,a]}(y)...

Does this look more correct? \begin{align} \phi * \phi (x) = \begin{cases} 0 & x > 2a \ \ \text{or} \ \ x < -2a \\ x + 2a & \text{ if } x \leq [-2a, 0]\\ 2a - x & \text{ if } x \in [0,2a]\\ \end{cases} \end{align}

So, should it be as: for f2: \begin{align} \phi * \phi (x) = \begin{cases} 0 & x \leq -2a \\ x & \text{ if } -2a \leq x \leq a\\ 2a - x & \text{ if } a \leq x \leq 2a\\ 0 & x \geq 2a \end{cases} \end{align} And for f3, do we need 7 different intervals, or did I get it wrong?