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In a particular computer design, N numbers can be sorted in a time proportional to the square

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In a particular computer design, N numbers can be sorted in a time proportional to the square of log N. How many times longer does it take to sort 8000 numbers than to sort 2000 numbers?

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Assuming that the time it takes to sort N numbers is TN where TN ...View the full answer


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Related Book For  book-img-for-question
Basic Technical Mathematics

Basic Technical Mathematics

ISBN: 9780137529896

12th Edition

Authors: Allyn J. Washington, Richard Evans

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The square of a number is the result of multiplying that number by itself. This is also known as \"raising a number to the power of 2\" or \"squaring a number\". The concept of squaring a number is important in many areas of mathematics and science, including geometry, trigonometry, and physics. It is also used in computer programming and data analysis. The square of a number is always positive, except for the square of 0, which is 0. When a negative number is squared, the result is positive. For example, the square of -3 is 9, since (-3) x (-3) = 9. To square a two-digit number, you can use the following formula: (A x 10 + B)^2 = A^2 x 100 + 2AB x 10 + B^2 Where A represents the tens digit and B represents the ones digit of the two-digit number. In this video, you can learn a fascinating math technique to quickly compute the square of any two-digit number. This trick involves three simple steps that enable you to arrive at the answer in a matter of seconds. The video demonstrates this method using three different examples, and you can try it out yourself and share your score in the comments section. You can also see how other students are performing using this technique.

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