Probability density function

II INTRODUCTION The purpose of this lab was to demonstrate and observe the effect a large focal spot and a small focal spot will have on the resolution of the image. Chapter 3 of Practical Radiographic Imaging states that resolution is “the ability to distinguish two adjacent details as being separate and distinct from each other” (Carrol, 2007, p. 48). This definition of resolution helps to explain what will be looking for to retrieve the data for this lab. As stated in Chapter 16 of…

Now on the other hand, using the triangle inequality and then (33) we have ∥u − uh∥ L1(Ω) ≥ ∥uI − uh∥ L1(Ω) − ∥u − uI∥ L1(Ω) ≥ ∥uI − Tpuh∥ L1(Ω) − ∥uh − Tpuh∥ L1(Ω) − ∥u − uI∥ L1(Ω) ≥ ∥uI − Tpuh∥ L1(Ω) − ∥uh − Tpuh∥ L1(Ω) − C2hp+1|u| Wp+1 1 (Ω); ≥ ∥uI − Tpuh∥ L1(Ω) − C∥u − uh∥ L1(Ω) − −C3hp+1|u| Wp+1 1 (Ω); from which we conclude that ∥u − uh∥ L1(Ω) ≥ C0∥uI − Tpuh∥ L1(Ω) − C3hp+1|u| Wp+1 1 (Ω) ≥ C0 vuut ΣN i=1 ∥uI − Tpuh∥2 L1(Ω∗ i ) − C3hp+1|u| Wp+1 1 (Ω)(36) ; where Ω∗ i is as in the proof of…

A ball, and a feather dropped at the same height will hit the ground at the same time when placed in a vacuum space. This is because acceleration of motion is the same for both object, and in this experiment, we are going to calculate accelerated motion using inclined planes. In this experiment, we will see whether “distance traveled is directly proportional to the square of the time”, and “if speed of a falling object depend only on the height from which it falls”. This experiment will give us…

This step completes the segmentation removing static objects from the grayscale images $T_i$ using Eigen-Background decomposition. First, each image $T_i \in \mathbb{R}^{n_x\times n_y} $ is reshaped into a column vector $I_i \in \mathbb{R}^{n_p\times 1}$. These $n_t$ vectors become the $i-th$ column of a video matrix $A(n_p\, , \, n_t)$, after having removed the average image: \begin{equation} A_{(n_s \times n_t)}=\begin{pmatrix} \hat{I}_1 & \hat{I}_2 & \cdots & \hat{I}_{n_t}…

Well, I’m glad to hear you’re interested in coming West. The Gold Rush is over, but there is still opportunity to mine out valuable metals and ores. I want you to take that brain of yours and help me start a business, I’ll pay you handsomely for it. I want to hire some men coming from the South to mine for me (for a fair sum), we’ll be doing some quartz mining. I’ve made enough friends to get some investors who will allow us to mine out their land too. I want you to monitor finances and the…

Duck Soup was a movie that came out on November 17, 1933. This was approximately three years into the American Great Depression, with a broken economy and unemployment rate at its highest of 25 percent. This was a time when America was at its all-time low. Duck Soup is a movie made as a direct representation of America during the Great Depression. The writers purposely made it a comedy because the audience would get the joke. In Duck Soup, Rufus T. Firefly becomes the president of the country…

Density Open Response Density Density is the mass per unit of volume of a substance. Density is measured in grams per milliliter (g/mL), or grams per centimeters cubed (g/cm3). The density of an object is what causes it to sink or float. If an object has higher density than the liquid it is being placed into, it will sink. If an object has a lesser density than the liquid it is being placed into it will float. For example, the density of…

ratio of M-S-H binder In development of M-S-H binder with magnesium oxide and silica fume, it is noted that silica fume has rather low specific gravity (S.G) and bulk density compared to Portland cement (PC). Thus, use of high silica fume content in the binder consequently results in a binder system of low specific gravity and bulk density, compared to PC. The light weight binder leads to a difference in water to binder ratio (by mass), compared to PC. To compare water content by mass of M-S-H…

When the egg was placed into syrup, a hypertonic solution, it shrunk in size. This result supports my hypothesis. The mass of the egg before it was placed in syrup and after it was placed in syrup changed drastically. There was a 16 g decrease in mass that happened to the egg during its time in the syrup. Both the long and short circumference of the egg decreased. The long circumference before the egg was placed in syrup was 18.75 cm and after it was taken out of the syrup the long circumference…

of the eggs is greater than the density of water. Then salt water 1-2 a spoon and stir in the eggs slowly, still also sank because of the eggs is still greater than the density of water. Drift An object that is dipped into the liquid will float if heavy objects are similar in style to the top or the object in equilibrium By the time the water was given a 2 ½ spoon of salt and stir gradually then egg will be on a State of drift. This happens because the density of water is equal to the mass…