Linear map

Where\\ \textit{A} denotes attenuation of the incident light,\\ \textit{$\alpha $} denotes the wavelength of the incident light,\\ \textit{C} denotes the concentration of the absorber,\\ \textit{d} denotes the geometrical pathlength,\\ \textit{B} denotes the pathlength correction factor and\\ \textit{G} is the additive term for scattering losses \begin{minipage}{\columnwidth} \centering \includegraphics [width=0.75\textwidth] {figures/mbl.png} \captionof{figure}{The modified Beer-Lambert law…

In this work, we assume two different potentials for the initial and final heavy quarkonia and the intermediary hybrid states. The most popular potential form for the study of heavy quarkonia is the Cornell potential [11] V(r)= -κ/r + b r (2.13) Usually many authors prefer α_s (r) instead of κ. The relation between them is κ=(4α_s (r))/3 and α_s (r) can treated as constant for bb ̅ and cc ̅…

Lab 1: Fluctuating Stresses Jinyuan Zhang Due Date: Wednesday, October 14, 2015 Lab Section: 5 Objectives: There are three objectives for this lab. The first objective is applying stresses calculation on a bicycle crank shaft with real-world load. Second objective is visualization of stresses’ fluctuate in process of fatigue failure analysis. The last objective is using the stresses model to find the force is applied on the crank shaft. Sample Calculation: For collecting the…

\begin{abstract} It is known that Groebner bases is EXP-SPACE in general. We show that this remains true over Boolean rings. \end{abstract} \section{Boolean Rings} Let $\mathbb{F}_2 = \mathbb{Z}/(2)$. Let $R_n = \mathbb{F}_2[x_1,\ldots,x_n, y_1,\ldots,y_n, z_1,\ldots,z_n]$ and % \footnote{Over $\mathbb{F}_2$, $+$ is the same as $-$.} \[ S_n := \{c^2 -c \,\, | \,\, c \in \{x_1,\ldots,x_n, y_1,\ldots,y_n, z_1,\ldots,z_n\} \}. \] Let \[ R_n^{\rm b} := R_n / (S_n). \] This is {\em Boolean ring},…

The solution of the Frank and Doris race problem looked to be simple at first. Although Doris speed began faster, Frank gained speed and passed her and thus seemed to be the winner of the race. After looking more closely at the problem I discovered this was not quite the case. I first sketched Frank and Doris given values onto the one Velocity-Time graph. Originally looking at this graph, it looks as if Frank passes Doris at 10 seconds, because that is when his speed becomes greater than Doris’s…

As it gets close to graduation I try to figure out how to cram 1 years work into 3 days before final exams. Unfortunately, I failed and was not going to graduate with my class, after a few tears and pleading I got the points to graduate. That day I took studying seriously. My first year at Post was my best year when it came to studying I felt more comfortable with my study routine. Studying is something you don 't inherit it takes the time to develop a good study habit that works for…

Northern and Southern Hemispheres alongside with explaining the major wind belts. Material: • Map of North America with longitude and latitude • Drawing compass Procedure: 1. View the map from the lab given. The map represents the barometric pressures at 5000 feet in North America on a precise day in February. 2. Use the Web to get another map of North America that covers the same approximate area shown in the map given in the lab and is noted with latitude and longitude. Keep in mind at…

The benefits and consequences of headphones are widely debated and whether or not their benefits outway their consequences is a topic of controversy among many. There are those who assert that headphones are a great invention and despite their negative effect on a person’s hearing over time they are worth it. On the other hand there are those who argue that despite the usefulness of headphones they are not worth the anti-social behavior they promote and the damaging effect that they have on ears…

believe that planning my website was essential. I used a number of formal and informal techniques. Both having advantages and disadvantages. In class, we started to use open mind map to analyse the project. A mind map is a diagrammatic representation of varied elements that relate to a particular subject. Mind maps are used for solving problems, for creating to-do-list for, promoting creative ideas, and for discussing different elements of the project planning stage. This made me more…

1. Identify an argument put forth in the case about the BP oil spill. Describe that argument clearly and base your description on evidence from the case. One argument talked about in the case was the need for circulating mud and the use of a cement bond log. In order to prevent blowouts, you are supposed to circulate mud through the entire drilling rig to see if any gas is coming up with it, then once separated out, if present, you are to put all the mud back down through the well. It was…