Wednesday, March 27, 2013

Real life problems as word problems


It is much similar to the word problems what we have seen in the mathematics. It is just about a word expression which we should have to convert it into the productive form or the algebra word problems or in algebraic expression. It is nothing but the conversion of the real word situation and translates it into the mathematical form or some expression that having a numerical type of approach. We are here to give you how to do algebra problems?

Say for example as x plus 5 means x+5, this is the conversion of the word expression into expression of mathematics. Algebra word problems help you will take from these categories more. Word problems consist of the sentences and we need to resolve into the problems very carefully and through our understanding and bit analytical skill.

As word problems are somewhat difficult so you have a good exposure of the problems before also. So practice more over these kinds of equations. Say for example as on my birthday, my weight is 45 kg. One year later I have put on x kg so which expression gives my weight correctly after one year. Sometime the equations like polynomial based problems are also there.

Now we will discuss more on algebra word problem help so that you can easily solve these kinds of problems. Say in probability you will learn about algebra 2 questions and answers type of complex problems. Firstly you have to understand what is important in the question and don’t jump to the solution, be cool and calm while solving and then form the equation after reading once then go through the needs and requirements is all there. If yes then proceed further by solving these problems with the formation of equations or out it into proper tabular format so that to avoid mistakes happened in the future.

Algebra is not about the plus and minus you should have to think how to frame the questions. Once you understand this concept it is very easier to solve the word problems. Sometimes it is long paragraph wise don’t hesitate to solve it is easier one many times, it just need only your attention and confidence to solve. Once you take your decision to solve proceed further step by step and find out the right solution. It is real life based problems we can say that because framing of the questions gives you the gist of the future or present and sometimes past also.

Wednesday, March 20, 2013

Rotational Symmetry


Guess an object rotated once, twice, and thrice or may be as many times, but still the observation angle and view remains same, those kinds of objects have rotational symmetry, means rotate them through their symmetrical line it will appear same.

An object might have more than one rotational-symmetry, for instance its reflections against any reflection line may also be considered as symmetrical line. The question often arrives in our mind that what is rotational symmetry. The answer is simple, any such object when rotated as many times but still appears same has rotational-symmetry.

As such talking more specifically in terms of science there are many theoretical explanations of the same, but it can be expressed as simple as stated above.

Many mathematicians have the perception that this could be the characteristics of the object, but preciously speaking this is not yet proved. Much rotational symmetry definition is under consideration, all ending with same conclusions.

Rotational symmetry of order n or n fold rotational-symmetry is known as discrete rotational form symmetry of the nth order.  For n = 1 means it is rotated 180 degrees, for n = 2 it means rotated at 120 degrees, and it goes on as the value of n changes.

We can say when a shape is rotated about any fixed point and if it comes to rest in such a position and looks exactly like the original. Some of the rotational symmetry examples are an equilateral triangle, or a tetrahedral structure, no matter how much we rotate the shape is always same, when we observe it from any angle.

Another good example is the pizza of round shape, all pieces of pizza are distributes in equal shapes and size. If the shape has rotational-symmetry then it must eighter have line symmetry or point symmetry. For example a pentagon star has five points and thus has five lines of symmetry but does not have points of symmetry.

Only an object which has point symmetry or line symmetry can have rotational form symmetry. Thus we can have lot more examples in real world. Let us take the alphabetical letters, let us talk about the letter “I”, it has two line of symmetry and one point of symmetry hence this would be considered as rotational-symmetry on the basis of its rotation. The geometry of rotational-symmetry is much better explained in rotational dynamics of physics.