Abstract. This article will give a very simple definition of -forms or differential forms. It just requires basic knowledge about matrices and determinants. Furthermore a very simple proof will be given for the proposition that the double outer differentiation of -forms vanishes.
MSC 2010: 58A10
1. Basic definitions.
We denote the submatrix of consisting of the rows and the columns with
The conference will start in September 6-9, 2015, Krakow, Poland.
Parallel Programming and Applied Mathematics, PPAM for short, is a biennial conference started in 1994, with the proceedings published by Springer in the Lecture Notes in Computer Sciences series, see PPAM. It is sponsored by IBM, Intel, Springer, AMD, RogueWave, and HP. The last conference had a fee of 420 EUR.
It is held in conjunction with 6th Workshop on Language based Parallel Programming.
Prominent speakers are:
Day 2 of the conference had below talks. Prof. Dr. Bernd Brügmann gave a short introduction. He pointed out that Jena is number 10 in Physics in Germany, has ca. 100.000 inhabitants, and 20.000 students.
- Dr. Karl Rupp, Vienna, Lessons Learned in Developing the Linear Algebra Library ViennaCL. Notes: C++ operator overloading normally uses temporary, special trickery necessary to circumvent this, ViennaCL not callable from Fortran due to C++/operator overloading, eigen.tuxfamily.org, Karl Rupp’s slides, with CUDA 5+6 OpenCL and CUDA are more or less on par,
- Prof. Dr. Rainer Heintzmann, Jena, CudaMat – a toolbox for Cuda computations. Continue reading
As announced in Workshop Programming of Heterogeneous Systems in Physics, July 2014, I attended this two-day conference. Below are speakers and pictures with my personal notes.
- Dipl.-Ing. Hans Pabst from Intel, Programming for the future: scaling forward with cores and vectors. Continue reading
I sometimes teach a C programming language course. I use the following simple exercises for the students to solve on their own. Most solutions are no longer than 10-20 lines of C code.
- Exercising simple loop and
printf(): Print a table of square root values for arguments 1 to 30.
if-statement, flag-handling: Read a list of numbers into an array, and then sort the array with Bubblesort.
- Continue reading