Algorithmic Knowledge

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What are some reasons to study algorithms, even if computers were infinitely fast and computer memory were free?

To ensure that the solution method terminates and provides the correct answer.

Why is computing time considered a bounded resource?

Because computers are not infinitely fast.

What is the value of time compared to money?

Time is even more valuable than money, as it cannot be regained once spent.

Why is it important for an implementation to be within the bounds of good software engineering practice?

To ensure that the implementation is well designed and documented. Signup and view all the answers

What is the cost of memory compared to computing time?

Memory may be inexpensive, but computing time is a precious resource. Signup and view all the answers

What is the time complexity of insertion sort?

$O(n^2)$ Signup and view all the answers

What is the time complexity of merge sort?

$O(n \log n)$ Signup and view all the answers

Which algorithm typically has a smaller constant factor: insertion sort or merge sort?

insertion sort Signup and view all the answers

What is the factor of n in the running time of insertion sort?

n Signup and view all the answers

What is the factor of lg n in the running time of merge sort?

$\log n$ Signup and view all the answers

What is the importance of algorithms in contemporary computers?

Algorithms are important in contemporary computers as they contribute to total system performance, just like fast hardware. Signup and view all the answers

What are some examples of advanced technologies in computing?

Some examples of advanced technologies in computing include advanced computer architectures, fabrication technologies, easy-to-use graphical user interfaces (GUIs), object-oriented systems, integrated web technologies, fast networking, machine learning, and mobile devices. Signup and view all the answers

Do all applications require algorithmic content?

No, not all applications explicitly require algorithmic content at the application level. Some simple web-based applications may not require it. Signup and view all the answers

Why should algorithms be considered as a technology?

Algorithms should be considered as a technology because the choice of efficient algorithms greatly impacts the total system performance. Signup and view all the answers