Table of Contents
- 1 Why are proofs useful?
- 2 What is the importance of studying the algorithmic complexity?
- 3 How do you study proofs?
- 4 What is the importance of data structure and algorithms in research?
- 5 Do developers generate their own algorithms to solve problems?
- 6 Why interviews in these companies are focused on algorithms?
Why are proofs useful?
All mathematicians in the study considered proofs valuable for students because they offer students new methods, important concepts and exercise in logical reasoning needed in problem solving. The study shows that some mathematicians consider proving and problem solving almost as the same kind of activities.
What is the importance of studying the algorithmic complexity?
Computer scientists use mathematical measures of complexity that allow them to predict, before writing the code, how fast an algorithm will run and how much memory it will require. Such predictions are important guides for programmers implementing and selecting algorithms for real-world applications.
What do you mean by data and data structure what is need of algorithm complexity and how it is evaluated describe any notation used to represent algorithm complexity?
Algorithm complexity is a measure which evaluates the order of the count of operations, performed by a given or algorithm as a function of the size of the input data. To put this simpler, complexity is a rough approximation of the number of steps necessary to execute an algorithm.
How do you study proofs?
To learn how to do proofs pick out several statements with easy proofs that are given in the textbook. Write down the statements but not the proofs. Then see if you can prove them. Students often try to prove a statement without using the entire hypothesis.
What is the importance of data structure and algorithms in research?
Observe the problems in-depth and you can help this world giving the solution which no one has given before. Data structure and algorithms help in understanding the nature of the problem at a deeper level and thereby a better understanding of the world.
What is the best way to learn algorithms?
Proof techniques: Extremely important topic of mathematics to learn algorithms. Whenever you are studying an algorithm from a legit source like CLRS or MITOCW, you would see a lot proofs to prove the correctness and efficiency of algorithms. Mostly, two proof techniques are used. Induction and contradiction.
Do developers generate their own algorithms to solve problems?
Sometimes developers generate their own algorithms to solve a problem, and sometimes algorithm uses another algorithm as its part to handle the situation. Now as we all know there are different ways to approach a problem. Some approaches take more time and effort and some don’t.
Why interviews in these companies are focused on algorithms?
This is the main reason why interviews in these companies are focused on algorithms as they want people who can think out of the box to design algorithms that can save the company thousands of dollars. Youtube, Facebook, Twitter, Instagram, GoogleMaps all these sites have the highest number of users in the world.