MaxAvion

This is helpful thank you. I will check out those articles to better understand these topics. If anyone knows of some books that cover in depth the material mentioned above I'd be interested to check them out. Cheers, Max

I'm currently taking a class on computer algorithms where we are trying to determine efficiency classes. I realized in this process that I am unclear on how to compute certain summations and was wondering if someone could point me in the right direction. We have been given the following example: [latex]\sum\limits_{i=0}^{n-2} \sum\limits_{j=i+1}^{n-1} 1 = \frac{n(n-1)}{2}[/latex] I am not clear on how the RHS can be obtained from the LHS algebraically? I'm also a little uncertain on how to approach the following when asked to compute the summation: [latex]\sum\limits_{j=1}^n 3^{j +1} [/latex] I know this may be an easy question for some of you to answer. I've had some difficulty finding resources online which show how to solve summations algebraically. Thanks in advance for any help.

I've been able to sort this problem out. Turns out I was illegally grouping on the Karnaugh map which was resulting in a false simplified expression. Don't you just hate it when you make silly mistakes and then continue doing it over and over again

I'm trying to solve a very simple logic problem. We've been asked to construct a truth table and then a Karnaugh map based on the truth table to simplify the expression, then create a 2nd truth table to verify that the simplified version (from the K Map) is logically equivalent. For some reason my two truth tables are not lining up so I must be doing something wrong. The question says that the variables X Y Z each represent sensors, the state of M is true (=1) when one or more sensors are on. For a truth table this would be every row aside from the first one where all are equal to 0, correct? Then my K Map gives me a group of 6 and a group of 2 which overlaps once with the 6, but the resulting expression is X'Z which is not equivalent. This is driving me crazy because I know the problem is very simple. I'd really appreciate any advice here. Also if my question isn't clear I'd be more than happy to send a PDF with the problem and my solution I just can't post it here. Thanks in advance!!