MHB What Are the Focus Areas in the Course Algorithms and Complexity?

AI Thread Summary
The discussion focuses on selecting a specialization within the course Algorithms and Complexity, specifically in the fields of Computer Science, Computational Geometry, and Cryptography. Participants express curiosity about the content and required knowledge for each field. Algorithms are associated with creating solutions for tasks like graph traversal, while Complexity involves analyzing the efficiency of algorithms. Computational Geometry includes topics such as combinatorial theorems and triangulations, whereas Cryptography covers foundational concepts like RSA and number theory. Overall, the conversation emphasizes the importance of understanding the theoretical aspects and practical applications of each field.
mathmari
Gold Member
MHB
Messages
4,984
Reaction score
7
Hey! :o

I take the course Algorithm and Complexity and I have to choose one of the fields Computer Science(the operations of a computer), Computational Geometry or Cryptography.

Could you give some information about these fields?? (Wondering)
 
Mathematics news on Phys.org
At the course Algorithm and complexity the prof told me that I have to chose on which of the above fields I want to focus.

Could you tell me what these subjects/fields are about?? (Wondering)

What knowledge is required at each one?? (Wondering)
 
mathmari said:
At the course Algorithm and complexity the prof told me that I have to chose on which of the above fields I want to focus.

Could you tell me what these subjects/fields are about?? (Wondering)

What knowledge is required at each one?? (Wondering)

I would expect that Algorithm is about creating algorithms for tasks like finding the shortest path in a graph, and that Complexity is about figuring out how expensive a given algorithm is. (Mmm)
 
I like Serena said:
I would expect that Algorithm is about creating algorithms for tasks like finding the shortest path in a graph, and that Complexity is about figuring out how expensive a given algorithm is. (Mmm)

What algorithms can be created in these fields?? (Wondering)
 
mathmari said:
What algorithms can be created in these fields?? (Wondering)

Well, I guess for instance an algorithm to add a node to a binary tree that is as leftmost as possible, and that is at least at level $l$.
Like in http://mathhelpboards.com/computer-science-58/add-node-13307.html. (Wasntme)
 
Hi,

I think the better way to know this is asking professors but,

Probably the course Algorithms and complexity it's not about creating algorithms, you can study there Turing machines, complexity classes (in time and space), cook's conjecture and some other theorems related to this.

In Computational geometry you can study for example combinatorial theorems over polytopes, Delauny's triangularizations and Grobner bases.

In Criptography, I just know the basic RSA system which is based in the CRT and little's fermat theorem, so I can't tell you much more.
 
Thread 'Video on imaginary numbers and some queries'
Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Thread 'Unit Circle Double Angle Derivations'
Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...

Similar threads

Back
Top