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…)
Tired of essays and want to have time for something else instead of developing chaos in a flow of your own ideas? If writing an essay still seems to be your reason for grief and distress, if you tear apart each piece of paper, you are welcome to memorize and apply Five Easy Essay Rules. They will help you to overcome the burden of writing and you’ll see that it is actually not that laborious. Take your topic and let’s start discussion. (more…)
If walking down the street you come across a cat with black and red patches – be sure it is she. Nearly one hundred percent of calico cats is female. But why it’s so? To answer this question we need to involve a bit of genetics into consideration. Let’s see why male cats almost never happen to be triple colored.
Male and female cats’ coat color differs in case when genes that define coloring are located in sex chromosomes. The latter which were indicated as X and Y, define the forming of gender itself. Female cats, like all the other mammals, have 2 X-chromosomes (XX) whereas males have one X and one Y (XY). (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…)
It’s Monday morning! Have you already taken your doze of coffee? Thinking of another cup, maybe? As it turns out, our genetics is blamed for addiction to coffee. Some people need to drink up to three cups of strong coffee, while just a latte will suffice for others. As new study shows, such a reaction to most popular drink is due to genetic variations. (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…)
