How to prove this isomorphism of the 1st Homology Group?

The problem is: Let Z denote the set of all integers. Consider Z/nZ = Zn as trivial G-module. Show that there is a isomorphism between the First Homology Group H1(G, Zn) and the factor...

11 December 2018 1,081 3 View

How to prove a isomorphism between group homology and group cohomology of finite group?

Let Z denote the set of all integers, and let G be a finite cyclic Group. For every ZG-module A, and n=1,2,3... Show that: Hn(G,A) is isomorphic to Hn+1(G,A).

11 December 2018 5,134 3 View

No title

07 August 2017 4,543 3 View

How to prove the maintenance of the signal of a specific numerical series?

07 August 2017 9,664 6 View

How to operate with floor and ceiling functions?

06 July 2017 3,073 5 View

The main importance on studying Artinian/Noetherian Modules?

What would be the main importance you see on the study of Artinian/Noetherian Modules?

02 March 2016 6,993 7 View

Is anybody interested in Matroids on Module Theory?

I've read some articles, and see free representations and some aspects detailed on the relations between Matroids and Modules. Would like to receive advices about readings and more materials about...

09 October 2015 9,104 2 View

How to show that a ring R is simple iff all simple R-modules are isomorphic?

Knowing that R is a semisimple ring as a left R-module.

08 September 2015 6,119 0 View

Could you recommend any books about Number Theory?

Beginner level books. High level books. Analytical Number Theory. Algebraic Number Theory. Combinatorical Number Theory. Books about partitions. Books about primes.

03 March 2021 7,174 5 View

Arena simulation - how do i model the following model in ARENA (see description) (new to ARENA)?

Hello, I'm fairly new to ARENA and I have the following problem: I have two queues in which, in each queue, a different order type arrives (both having an arrival rate of exponential 10). Order...

02 March 2021 2,431 3 View

What is Flat Lens Antenna?

28 February 2021 5,433 3 View

How can I represent SDS-PAGE results for machine learning analysis?

I am trying to classify and analyze the results of an SDS-PAGE based array for bacterial detection using machine learning, but I have trouble finding the best way to represent the results with...

27 February 2021 9,176 3 View

Can impedance of antenna be less than 50 ohms?

I am simulating helix antenna in hfss, right now, giving excitation with 50 ohms port. When I see the results of Z parameter (real). It shows lower than 50 ohms. Do not understand, if it can be...

27 February 2021 4,218 7 View

What are the application of Fixed points thoery in Chemistry.?

It is said that fixed point theory has lot of applications not in the field of mathematics only but also in various areas. So I am looking for applications in Chemistry only..

26 February 2021 3,533 1 View

How to interpolate from a time-series database ?

Hi, I am having trouble with a problem, in the field of Optimal Control and the generation of optimal time-series. Let's consider a system, whose dynamics are represented by dx/dt =...

24 February 2021 9,105 2 View

How the values of errors can be calculated for thermodynamic data?

I have calculated thermodynamic parameters for surfactant solutions in aqueous and mixed alcoholic solvents. I want to calculate the value of errors in the data and represent it in the table along...

22 February 2021 239 2 View

How to constrain genetic algorithm input u?

My real system (buck converter) can only take an input of 0 to 1 (duty ratio) and I need to constrain the system so the controller action keeps within this bounds. How can I do this? The code for...

22 February 2021 2,125 3 View

Helix antenna coupling problem?

Dealing with a helix antenna, made with flexible material and not rigid like using a PCB board or wire. At the beginning of the helix is too close to the ground plane, causing coupling. How can I...

21 February 2021 4,453 3 View