Many students face this problem that is when they are asked to write papers for some subjects. For one subject, there are thousands different papers possible to write. Even though lecturers have given the theme, there are still hundreds different papers possible to result. With this high possibility, students have wide selection to choose which one they want to write. But, this is also perplexing how to mark one focus topic to write. Among all topics possible, it’s hard to finally choose one which can be written to be the best paper. This is the first difficulty students often face when they are asked to write paper. Choosing random topic without deep thinking and consideration can be fatal mistake as everything related the paper depends on the topic. Before starting everything else, it’s important to find the best topic first.
How to Choose Topics
To ensure that you can write the best paper, find the best topic with some considerations. Here are what you have to consider when you are in the process of choosing topics for a successful papers. Brainstorm yourself with many topics you are interested in. Write them down on your not as many as possible and think about requirements to write them. When you look at the requirements, you can find which ones in which you are the most and least capable. There are two options you can do after knowing the topics on your note. The first option is choosing the one from those topics you are the most capable. This makes everything easier as you have known many things about the topic. This may be the topic in which you are most interested. This topic can be the same with previous papers you have written or materials you have studied. This is the best option if you don’t have much time before the submitting deadline. The second option is choosing one in which you are not or less competent at. Even though you will find more difficulties in the process of writing, you will find that writing new topics will enrich your knowledge. This is important for people who love new experience and desire to improve more topics. But choosing this option may need longer time to complete the writing process.
Check Before Deciding
When you have known what topic you are interested in and the requirements to do it. Check first about the availability of the requirements. Check also the time and your schedule whether you can complete it on time or not. For papers, the requirements include the literature and references, data, information, research results, and many more. Check them all first and if the availability is less than it needs, you need to reconsider other topic options you have noted before. To find the high availability of requirements, you can choose the topic which is popular, being discussed or debated, or actual. If you can’t find the requirements by yourself, you can bid on writing paper written by professionals. They have expertise in writing and the topic. If you choose this option, you don’t need to worry about gathering the requirements.
The Median in math is the middle term of the sequence of a numbers. The concept behind median is not very complicated, median refers to middle point of any data set of given numbers. Now let’s see step by step how to find middle number that means median of any data set.
First determine the series of number from you need to calculate the median value. For example take a series 18,8,42,5,10, now rearrange this series as 5,8,10,18,42. In our example there is 5 numbers in the series which is odd, so in our series 10 is middle number as left hand side of 10 have 2 numbers and also right hand side of 10 have 2 numbers, so 10 is middle number of the series that means 10 is median value. So it is very easy to calculate median of any given series contains odd number you can calculate exact middle number.
Lets see how to calculate median of any given series that contains even numbers. If series contain even number of numbers, you need to find middle two numbers, once you have middle two numbers you can average them together that means add them and then divide by 2, the result will be median value.
Singmaster’s conjecture, named after David Singmaster, is about how many times different numbers appear in Pascal’s triangle. It states that, apart from one, there is a maximum number of times that any number will appear.
, and so whatever number you pick, there comes a row which it is the second and second last number in. For example, can we say that whatever number you pick, however large, it will never appear in Pascal’s triangle more than, say 20 times? Here are some examples of how many times different numbers appear in Pascal’s triangle:
1 appears infinitely many times
2 is the only number to appear just once
6 appears three times
10 appears four times
120, 210, 1540 each appear six times
3003 appears eight times
These examples reveal that there are surprisingly few repetitions of numbers in Pascal’s triangle, with the vast majority of numbers appearing only twice (as the second and second last number in a row).
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