Most high school students are afraid of math lessons wondering whether they can ever use the acquired knowledge in the real life. Today, when so many calculations are carried out by computers, algebra and geometry find good realization in 3D graphics industry. And if you still don’t know how why math is so useful for 3D graphics, this article is for you. Continue reading
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How Math Works in Gambling
Gambling was the main reason for the emergence and development of the probability theory. Like any other mathematical theory, it sets its own laws. It seems strange indeed that any case may be regulated. Consequently, knowing the rules, can we win a random game? Let’s see. Continue reading
How Geometric Design of Roads Works
Many students have cars nowadays and, surely, going on holiday with friends, they choose the most secure route to their destination. Everybody will agree that it is much more convenient to drive on the “smooth” road with good visibility and without sudden turnings. Such roads are common now, but they have not always been that way. Continue reading
How to Use Factorials in Probability Calculations
We often use the word “probably” in our everyday conversations to emphasize changeability of situations or events. It seems an ordinary word, not the one for scientists. From math’s point of view, probability is quite important, because of managing a wide variety of life processes, but the brain is unable to immediately calculate its value. Here’s a simple at first sight example: “You are stirring the deck of cards. What is the probability that you get the sequence that has already been obtained before by someone else?”. Maybe, you have one chance in 1000 or one of 10,000? Continue reading
What If to Fold a Paper 100 Times?
There is a myth that you cannot fold a piece of paper in half more than eight times. Check it yourself and you’ll see. In fact, the current record belongs to Britney Gallivan who managed to fold paper 12 times (actually, it was toilet paper, so that’s her secret of success). How does this happen that we cannot fold a sheet of paper more times? Anyway, we’ve decided to deal with this controversial question and made some interesting calculations.
PhotoMath App Is a Step towards Homework Machine?
Probably, almost every student ever dreamed of a tool instantly solving math homework. Add to that the fact, that not seldom math is called the most tricky of all subjects. Now imagine you own a calculator which is able to do every math task instead of you, sounds good, eh? Half a year ago MicroBlink presented an application PhotoMath on iPhones, which can recognize mathematical tasks and solve them instantly also providing step-by-step solution, and now it is available on Android Play Market also. Creators of PhotoMath claim it to be the first сamera calculator. Continue reading
Condensing Logarithmic Expressions
If you’re dealing with logarithms, which is not a rare case when you take math classes, the important task is to simplify given expression, reduce number of logarithms, etc. Let’s consider the following problem. We’re required to condense the following expression into single logarithm: \ln{26}-\ln{23}+2\ln{\sqrt{28}} Continue reading