How long have you been trying to cope with your homework without being able to apply yourself? What measures have you undertaken? Tried to predict answers with a crystal ball? Told fortunes in a teacup? Raised the ghosts of perished mathematicians to help you with your graphics? Or do you prefer to bundle up with blankets denying cruel reality? While you are thinking about which option to pick, some of dunnos have already found a way that will definitely surprise anyone. (more…)
Let’s talk about straight lines on a plane. We often answer questions of our visitors about how to graph a line and other related stuff. For example, recently we were asked how to graph y=2x+3. To answer this question let’s consider equation of a straight line or so called linear equation on the plane. For that we will need a coordinate plane. It is formed by a horizontal number line called the x-axis and a vertical number line called the y-axis. The two axes intersect at a point called the origin. That’s not all. To define coordinates we should chose the scale (more…)
Probably every 5th student (or every other?..) says he/she hates doing homework and it’s a much better option to hang out with friends or peer in a computer or TV. Sounds great, but aside from entertainment you’re supposed to study, aren’t you? That’s out of question, the truly interesting thing is: does homework help to study, or, on the contrary, is it a waste of time and nerves? Check how to lessen homework stress, by the way. Do you know who invented homework and why? Calm down, that happened long time ago and you have no possibility for revenge :0 (more…)
In this section we’re continuing to discuss non-elementary functions called Euler integrals. These special functions are widely used in mathematics and physics. It was once discovered that they describe properties of elementary particles in the string theory. We won’t dig into this amazing topic today, though. For starters let’s talk about what is beta function and define its key properties for solving problems in math. Basically, later we’ll show you how these functions can simplify the evaluation process of certain pretty complicated integrals.
Here’s the Euler integral of the first kind, which is also known as beta function:
B(p,q)=\int_0^{1}{x^{p-1}(1-x)^{q-1}dx}
where p and q are parameters. (more…)
Imagine you walk down the street without an umbrella and suddenly the rain starts. You are empty-handed and don’t have a raincoat while the rain intensifies. What are you supposed to do? What’s the best strategy – to run, to walk, or standing in the rain gives the same result and there’s no need to hurry?
Majority of people immediately answer: RUN! Find the closest shed as quick as possible. The simple truth it seems to be. However, some will venture to disagree saying that there’s no need to run as they would catch more raindrops than during a simple walk. (more…)
Researchers have found out that homework overloads can lead to serious health disorders, lack of balance and even alienation from social activities. “Our findings on the effects of homework challenge the traditional assumption that homework is inherently good,” wrote Denise Pope, a senior lecturer at the Stanford Graduate School of Education. According to the recent data, up to 56 percent of the students considered homework as primary source of stress, in contrast to 43% naming tests as a primary stressor. Thus, homework, despite it’s supposed to be done at home or library with ability to use everything up to your friends’ copybook, is more stressful than tests! That’s definitely something to think about! That’s why a growing number of schools across the US are banning after-school assignments to lessen stress on students and their families. (more…)
Do you think this is just a bunch of meaningless numbers or something more? 9 \: 27 \: 12 \: 15 \: 22 \: 5 \: 27 \: 19 \: 3 \: 9 \: 5 \: 14 \: 3 \: 5 Later we’ll give you the answer. But before let’s talk about cryptography. Do you know what’s that? We’ll start with a bit of history. Cryptography is the science of secret writing. Its name comes from the Greek words Kryptos, meaning hidden, and graphene, which means writing. By the way, there is also steganography – the science and art of writing hidden messages. Don’t mix them up, though. Steganography and cryptography are not the same. Cryptography is the science of codes and ciphers. Steganography is the science of secure data transmission through the secrecy of the very fact of the transfer. (more…)
