The viscosity of a particular fluid is an interesting parameter that plays an important role in fluid dynamics of that fluid. We chose the common household cooking item canola oil. Using a ball drop, we set out to measure viscosity at various temperatures and create a model for the viscosity of canola oil as a function of temperature, as well as an accurate measurement for viscosity at room temperature. It was found that the viscosity between 0 and 40 degrees Celsius can be approximated using an exponential function and that an estimation for viscosity at room temperature was not very difficult to obtain. The precision of this measurement was limited by uncertainty in lab equipment used to measure various quantities as well as the image analysis software we used and the limited frame-rate of our camera.
Sejarah matematika tidak bisa dilepaskan dari penemuan dan pengembangan bilangan imajiner. Saat ini bilangan imajiner masih digunakan secara luas dalam berbagai bidang, baik untuk keperluan teoritis maupun praktis. Tetapi sedikit orang yang mengetahui kisah dibalik pengembangan bilangan ini yang telah dipenuhi dengan petualangan dan teka-teki. Juga tidak banyak orang yang mengetahui persentuhan penting bilangan imajiner (atau bilangan kompleks) dengan Landasan Matematika, yang memiliki kaitan penting dengan teori filsafat, ilmu logika dan uraian latar belakang sejarahnya.
A very quick and easy to understand introduction to Gram-Schmidt Orthogonalization
(Orthonormalization) and how to obtain QR decomposition of a matrix using it.