Linear regression

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…

In his article entitled “Is Google Making Us Stupid?” (2008), Nicholas Carr, a published technology author, argues that the use of the internet has altered the way our mind thinks, the way we communicate, and even the way we read. This affects society in such a way that we are no longer able to focus while reading printed text, let alone online articles with distracting factors such as hyperlinks and flashy pop up ads. Carr provides several sources of anecdotal evidence, case studies, and…

All the scenes in the play were short and barely any characters were called by name. They also did not go in order of the pamphlet that spells “Shakespeare.” Throughout my paper, I try to describe each scene to the best of my ability with the info of which play they are acting out or about just the scenes in general. The beginning of the play began with people cleaning up the stage with brooms. The three people were slouched over sweeping close together. This showed medium topography and close…

The Mandelbrot and Filled Julia Sets The Mandelbrot and Filled Julia Sets are sets of numbers that are composed of complex numbers that do not diverge for varying conditions of the function fc(z)=z²+c. For the Mandelbrot set, the function is iterated from z=0. The filled Julia set holds c constant for any complex number to look at the behavior of the iterated functions for each value of z in the complex plane. Both sets are derived from the iterations of simple functions in the complex plane,…

Stress is a very complex topic. To my understanding it is an emotion felt not only mentally but physically as well. A large straining that you endure from being under immense pressure, at times you feel there is no way out. It can come from the negativity of your peers, and almost always from your very own self-doubt. Stress to me as a student and as a worker are very separate functions. From my student side I worry about not doing well on not only one but a series of demanding tasks from all of…

The Bronze Age in the Mediterranean Grecian regions was a time for exploration and war, trade and commerce, and ingenuity. Two monumental cultures with the evident demise influenced one another through economy, architecture, and logogram. The Minoans originated on the island of Crete, and their palace and administrative center titled Knossos. The Mycenaean culture, on the other hand, flourished on the mainland of Greece, in the palaces of Pylos and Mycenae. Both cultures thrived from maritime…

words: formulation, standard form 5) Fractional relationships between variables are not permitted in the standard form of a linear program. Answer: TRUE Diff: 2 Page Ref: Ch 2 review Main Heading: Formulation and Computer Solution Key words: formulation, standard form 1 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall 6) A constraint for a linear programming problem can never have a zero as its right-hand-side value. Answer: FALSE Diff: 2 Page Ref: Ch 2 review Main…

precision. Encoder/Glass Scale A linear encoder is the typical way that CNC machines measure motion. It’s electro-mechanical device that creates digital signals that correlate to a position, a velocity, and a direction along a path. A linear encoder acts as a sensor and when linked to a scale it encodes a position. The sensor reads the scale and converts the encoded position into a meaningful value in the form of a digital or an analog readout. Optical linear encoders utilize a combination…