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Legendre Transformation and Hamiltonian Formalism

We all know that there are some famous mathematical operations playing an important role in many fields of physics (and besides not only in physics). Knowledge of such common things allows understanding of relations between different phenomena and sometimes even opens new views on physics in general. One of such, Legendre transformation (that is Adrien-Marie Legendre’s who is on the right side) and its role in Hamiltonian mechanics (by William Rowan Hamilton, a gentleman on the left side) is to be the topic of our today’s discussion. (more…)

Is Assignment Expert Legit?

At least once per life, each of us desperately wishes to put his or her duties on somebody else’s shoulders due to the lack of time or desire to complete any matter. And no wonder – laziness is an engine for progress, which enabled humanity to invent robots, mobile phones and washing machines so as to make their lives easier. But what if it touches not only daily routine but an academic life? Can students also simplify their college life by asking for help, is it even legal? Let’s try to find an answer to this and some other questions. (more…)

Useful Memory Technique For Math

Solving math problem, especially in the high school, requires using a wide variety of theorems, lemmas, their corollaries. However, quite often students face misunderstandings during the math lectures, which bring troubles with solving these practical exercises. But how to remember all the math stuff? Here we’ll offer you one of the methods. This interesting and useful technique deals with the association of the difficult problems with the simple things. (more…)

How to Use Smart Pointers in C++

One of the major strengths and weaknesses of both C and C++ are pointers. You can forget to allocate or free memory in the relevant place and program will work perfectly except for unexpected crashes during the most inconvenient time. Modern C++ (standard 2011) has some tricks to help save time and energy during the development process. (more…)

How Idea of Fourier Transform Works

Every day each of us listens to music, views images on the Internet, turns on a radio station or a TV channel. All these processes have a common feature; it is their implementation involving the use of the same mathematical tool – the Fourier transform. It’s not an exaggeration to say that this is one of the most widely used mathematical discoveries, which is widely known in optics and quantum physics, radio astronomy, X-ray crystallography, voice recognition and PET (positron emission tomography) or MRI (magnetic resonance imaging), etc. (more…)

DIY Valentine’s Day Ideas for Students

No matter whether you’re a freshman or an undergraduate, if you are a student, it is obvious that holidays and parties can’t help coming to your place one after another. And the thing is usually the celebration and the gifts are of a greater value than the meaning of the holiday itself. So, whether you are in a relationship right now or not, you may greet some people with St.Valentine’s Day if they mean something to you. And let’s find out how to create nice things and unusual decorations for this holiday on your own. (more…)

The Most Beautiful Equation

Having noticed the name of this article, many of you have already guessed what it’s going to be about. Also, here are additional hints: this short but quite famous formula may be seen on the T-shirts or cups worldwide; mathematicians and physicists name it “the greatest equation” in some scientific polls. Actually, we’re talking about the Euler’s identity, named to honor the great Swiss mathematician Leonhard Euler. So what exactly is great about this formula? (more…)