Mat 201 Module 1 Essay Example

Mat 201 Module 1 Essay TUI THOMAS J. COBB MAT 201 Module 1 – Case Assignment Dr. Alfred Basta Mat 201 Module 1-Case Assignment Thomas J. Cobb 1. Suppose you have 4 nickels, 6 dimes, and 4 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that: a. You will draw a nickel? The probability of someone drawing a dime would be 4/11 or 36%. b. You will draw a dime? The probability of some drawing a nickel would be 6/11 or 54% c. You will draw a quarter? The probability of someone drawing a quarter would be 4/11 or 36% 2. You are rolling a pair of dice, one red and one green. What is the probability of the following outcomes: a. The sum of the two numbers you roll from the dice is 11. There are 2 possible outcomes. 5,6/6,5 b. The sum of the two numbers you roll is 6. There are 5 possible outcomes. 1,5/5,1/ 3,3/4,2/2,4 c. The sum of the two numbers you roll is 5. There are 4 possible outcomes. ,4/4,1 /3,2/2,3 3. A glass jar contains 6 red, 5 green, 8 blue, and 3 yellow marbles. If a single marble is chosen at random from the jar, what is the probability of choosing a red marble? a green marble? a blue marble? a yellow marble? a. The red marble would have a 6/22 or 27% chance of being drawn. b. The green marble would have a 5/22 or 23% chance of being drawn. c. The blue marble would have an 8/22 or 36% chance of being drawn. d. The yellow marble would have a 3/22 or 14% chance of being drawn. We will write a custom essay sample on Mat 201 Module 1 specifically for you for only $16.38 $13.9/page Order now We will write a custom essay sample on Mat 201 Module 1 specifically for you FOR ONLY $16.38 $13.9/page Hire Writer We will write a custom essay sample on Mat 201 Module 1 specifically for you FOR ONLY $16.38 $13.9/page Hire Writer

What Is Vancouver Referencing

What Is Vancouver Referencing What Is Vancouver Referencing? Vancouver is the most populous city in the Canadian province of British Columbia. It is ethnically diverse, known for its high quality of life, and nicknamed â€Å"Hollywood North† for its connections to the Canadian film industry. It is also the home of Vancouver referencing. Well, sort of. In this post, we’ll look at the basics of Vancouver referencing. This will include how to cite sources, reference lists and bibliographies, and why it is called â€Å"Vancouver† referencing in the first place. What Is Vancouver Referencing? Vancouver referencing is so called because of the International Committee of Medical Journal Editors, who met in Vancouver to agree on a referencing style for all biomedical journals. They decided on an â€Å"author–number† system. This uses numbered citations to point to entries in a reference list, where the author and text are named. However, Vancouver is not a â€Å"system† in the strict sense. Instead, it is a reference style with several variations (e.g., style of punctuation and use of italics). As such, if your school or publisher suggests using Vancouver referencing, make sure to check your style guide carefully. Citations in Vancouver As mentioned above, Vancouver uses numbers to point to an entry in the reference list. The exact format for citing a source can vary, but this usually involves parentheses (1), square brackets [2], or superscript numbers.3 If the author is named in the text, the citation usually comes after their name. If not, the citation goes at the end of the relevant passage. For instance: According to Smith (1), X is Y. However, some studies disagree (2). Each number refers to a different source, with sources numbered in the order they are first cited. If you then cite the same source again, simply repeat the number you used the first time. Advanced Citations As well as basic citations, you can cite more than one source at a time by including more than one number. And if you quote a source, you should also include page numbers: If X truly is Y (1, 3-5), then â€Å"Y must also be X† (6: p. 24). For example, with the first citation above, the author is citing sources 1, 3, 4, and 5 from their reference list. With the second citation, they are citing page 24 of the sixth source in the list. The Reference List Like with citations, the format of a Vancouver reference list will depend on the version of the system used. However, they all have two things in common: Sources are listed in the order they are first cited in your document. All references should include enough information for the reader to find the source used. A reference for a book, for example, might look like this: (1) Smith A. X and Y: A Study of Similarity. New York: PI Publications; 2012. The number at the start matches the citation in the main text. After that, we have the author’s name, the title of the book, and the publication details. This level of detail will usually suffice. Reference List or Bibliography? Some versions of Vancouver distinguish between a â€Å"reference list† and a â€Å"bibliography.† Usually, the reference list is only cited sources, while a bibliography may include additional reading. This terminology can vary, though, and which you need will depend on the version of Vancouver used. This, again, makes it wise to check your style guide if you’re unsure how to proceed. But as long as you’re clear and consistent in how you cite sources in your work, you’ll be on the right track! And if you’d   like someone to check the referencing in your work, let us know.

Human Resource Management Report Essay Example | Topics and Well Written Essays - 4000 words

Human Resource Management Report - Essay Example different through the accumulation of relevant information and data; and (4) to write up the report in a way which relates evidence to theory, to provide an appropriate analysis and explanation of the situation described. The case of St. Luke’s Medical Center is hereby proffered to comply with the abovementioned requirements. People constitute an organization’s most important and vital factor in its success or failure. In order to function efficiently and effectively, people must be managed well. Human resources management is the art and science of dealing with people at work for the optimum achievement of individual, organization and society’s goals. While general management is the orchestration of all the resources, human resource management is limited to people management – their motivation, acquisition, maintenance and development. Human resources management solely involves man. Through and by men, the other m’s are acquired and utilized. The quality and utilization of the rest of the resources are almost always affected by decisions about and by human resources. Indeed, the accomplishment of the goals of an organization depends upon the availability and utilization of all these ingredients, the interaction of which, are people-caused. Due to the intricate and diverse characteristics, personalities, values, and preferences of people in the organization, it is only natural that problems on human behavior in organization exist. In this regard, this case report is written to address the following objectives, to wit: (1) ) to identify some HR situation which appears to be amenable to analysis using the course material wherein the situation must be sufficiently complex to generate enough material for the writing of a case which meets the indicated specifications; (2) to consider the concepts and general ideas discussed in class, and see which help make sense of the situation being described; (3) to engage in research activity which allows you to test

San Francisco Essay Example | Topics and Well Written Essays - 1250 words

San Francisco - Essay Example This research will begin with the statement that Ishi belonged to the Yana tribe who lived in the southern region of the Mount Lassen foothills of Northern California. They lived a peaceful life of hunters-gatherers as the hills and mountains were bountiful hunting grounds for their food sources. However, as time passed by, the Yana became the victims of the powerful Winton, who drove them from their homes because they desired the fertile valleys of the Sacramento region. Though they were isolated, they were resilient and fierce fighters who terrorized their enemies especially the Winton. When the white settlers arrived, their perception was influenced by the Wintus stating that the Yanas were dangerous and had to be eradicated from the area. It was during this critical period that Ishi was born. From his childhood, Ishi had lived his life in fear and was always on the run. He had witnessed the systematic annihilation of his tribesmen and as his world grew smaller and smaller he bega n to struggle for survival. During the 1840’s, the Anglo- Saxon era was ushered in and with it a misfortune for the Yana tribe. Gold found in the river beds of California and the exchange of land claims saw the tragic wiping out of the Yana tribe. Immigrant people flushed out the Yana tribe by hunting, land staking and livestock pastures. Hunger took its toll on the population of the Yana tribe that plummeted down. None of Ishi’s Yana tribe was believed to have survived.... He was discovered on 29th August, 1911 and he was taken into custody by the Sheriff. Ishi was highly traumatized and almost dead and was put in a cell. Professors Waterman and Kroeber took charge of Ishi and kept him at the university’s museum and with great difficulty they managed to communicate with him by learning the Yahi language. Ishi too learned all about life in 20th century America. In the present day scenario, with the advent of globalization, many cultures are being lost or wiped out akin to what happened to the Yana tribe. In our contemporary world even with the great advancement of Science and Technology, we still experience the power of greed and unrest which take its toll on those who are most unfortunate. 3 2)Critically discuss the World’s Fair (California Mid – Winter International Exposition) of 1894. Cite specific examples of how we can think critically about this fair (e.g. commodification, race, gender, modernity, nature, etc.)Â   Michael Ha rry of San Francisco announced that he had plans to open the California Mid-Winter Fair in January 1894 in San Francisco. The local citizens were committed to the cause of the project and contributed around $41,500. The chief purpose of this fair was to promote trade, real estate and investment opportunities between California and people from other races and countries. Barbara Berglund in her book titled ‘Making San Francisco American,’ sheds light on San Francisco’s rapid evolution from the much earlier chaotic times to becoming a prized jewel of America’s western empire. She specifically points to the nascent elite’s efforts to bring about social order through cultural and political means. (Barbara Berglund, 2007) The chief idea

Psychological Testing and Assessment of Adolescents Paper Research

Psychological Testing and Assessment of Adolescents - Research Paper Example Some educators have used intelligence assessment results to separate slow learners from quick learners. The technique has been effective in moderating educational materials for the different learners, with slow learners having longer lessons and more learning materials. Extra learning materials enable slow learners opportunity to get information from different sources, which strengthen understanding. Assessments involving achievement tests have proved practical tools for shaping school curricula. Achievement tests for learners come at the end of a course or a given level of education. The assessments help in determining the level of accomplishment of students, and comparing the results with expectations in the outside social and economic spectra (Ployhart & MacKenzie, 2011). The outcomes of such assessments guide curricular planners to analyze relevance of certain educational items. Where assessment outcomes in achievement tests are low, then it becomes compulsory for curricular planners to refine educational contents to fit expectations. Assessments in education have also been useful in determining admission of students into learning institutions, and promoting learners to different levels of education. Common assessments are in the form of class tests, and term and yearly examinations. Educators also use assessments to measure the extents the extents of transfer of knowledge to learners. The undertaking is usually in the form of questions during learning, and checklists used to mark performance of students in various subject contents. According to Cohen, Swerdlik and Sturman (2013), measures of general achievement are techniques for surveying learning in more than one academic area. General achievement measures classify learning areas in certain broad subsets. The most common subsets are reading, arithmetic, spelling and comprehension reading. The subsets have a

MEMS: Comparison With Micro Electronics

MEMS: Comparison With Micro Electronics Micro Electro Mechanical Systems or MEMS is a term coined around 1989 by Prof. R. Howe and others to describe an emerging research, where mechanical elements, like cantilevers or membranes, had been manufactured at a scale more akin to microelectronics circuit than to lathe machining. But MEMS is not the only term used to describe this and from its multicultural origin it is also known as Micromachines, a term often used in Japan, or more broadly as Microsystem Technology (MST), in Europe. However, if the etymology of the word is more or less well known, the dictionaries are still mum about an exact definition. Actually, what could link an inkjet printer head, a video projector DLP system, a disposable bio-analysis chip and an airbag crash sensor yes, they are all MEMS, but what is MEMS? It appears that these devices share the presence of features below 100 micro metre that are not machined using standard machining but using other techniques globally called micro-fabrication technology. Of course, this simple definition would also include microelectronics, but there is a characteristic that electronic circuits do not share with MEMS. While electronic circuits are inherently solid and compact structures, MEMS have holes, cavity, channels, cantilevers, membranes, etc, and, in some way, imitate `mechanical parts. This has a direct impact on their manufacturing process. Actually, even when MEMS are based on silicon, microelectronics process needs to be adapted to cater for thicker layer deposition, deeper etching and to introduce special steps to free the mechanical structures. Then, many more MEMS are not based on silicon and can be manufactured in polymer, in glass, in quartz or even in metals [5, 6]. Thus, if similarities between MEMS and microelectronics exist, they now clearly are two distinct. Actually, MEMS needs a completely different set of mind, where next to electronics, mechanical and material knowledge plays a fundamental role. 1.2 MEMS technology The development of a MEMS component has a cost that should not be misevaluated but the technology has the possibility to bring unique benefits. The reasons that prompt the use of MEMS technology can be classified broadly in three classes: a) Miniaturization of existing devices, like for example the production of silicon based gyroscope which reduced existing devices weighting several kg and with a volume of 1000 cm3 to a chip of a few grams contained in a 0.5 cm3 package. b) Development of new devices based on principles that do not work at larger scale. A typical example is given by the biochips where electrical are use to pump the reactant around the chip. This so called electro-osmotic effect based on the existence of a drag force in the fluid works only in channels with dimension of a fraction of one mm, that is, at micro-scale. c) Development of new tools to interact with the micro-world. In 1986 H. Rohrer and G. Binnig at IBM were awarded the Nobel price in physics for their work on scanning tunneling microscope. This work heralded the development of a new class of microscopes (atomic force microscope, scanning near optical microscope) that shares the presence of micro machined sharp micro-tips with radius below 50 nm. This micro-tool was used to position atoms in complex arrangement, writing Chinese character or helping verify some prediction of quantum mechanics. Another example of this class of MEMS devices at a slightly larger scale would be the development of micro-grippers to handle cells for analysis. 2.Micromirrors 2.1 History of Micromirror : In recent years, deformable mirror devices (DMDs) have emerged as a new micro-electromechanical (MEM) technology with tremendous potential for future applications. As shown in Fig. 1-1, the concept of deformable mirrors was developed and utilized as early as 211 BC by Greek soldiers to destroy enemy ships [1]. 1 However, it was not until 1973 that serious development of micromirror devices began to emerge. Currently, several designs of deformable mirrors have been fabricated, some before a practical use had been identified. It is these devices that are now receiving serious attention as optical communication and related fields are expanding. 2.2 BACKGROUND Mirror devices are a specific type of spatial light modulator (SLM).Spatial light modulators are devices that can alter the phase, amplitude, and/or the direction of propagation of an incident beam of light. Deformable mirror devices do this by moving a reflective surface to achieve the desired effect. Currently, two distinct types of micro-mirrors are used [1]. Continuous surface devices use one large reflective membrane that is locally controlled by individual actuators to form a continuous reflective surface. Circus fun house mirrors are an example of such a device. Segmented devices, on the other hand, use a mirror surface that is divided into numerous individually controllable smaller mirrors. Greek soldiers used segmented mirrors to form a parabolic reflective surface which was used to focus sunlight onto enemy ships. 2 Segmented devices are used today in the formation of large parabolic mirrors. As shown in Figure 1-2, the primary mirror of many modern optical telescope systems is comprised of segmented deformable mirrors. In the past, the size-limiting factor in such systems has been the size of the primary mirror which had to be mechanically stable yet light enough to move to various positions throughout a full field of view. Larger mirrors were frequently damaged or caused damage to other components of the telescope when movement was attempted. With the application of segmented deformable mirror technology, the practical limit in telescopic primary mirror size can be extended since much lighter and smaller mirrors can be individually anchored, controlled, and placed adjacent to each other to form the necessary parabolic mirror. The segmented mirrors are not only placed at a slight angle to each other, but are shaped by the segmented actuators and are free to bend to form smaller parabolically curved surfaces. The segmented actuators are manipulated by the control electronics which receive information from the laser figure sensor and the edge computer which is then translated into a necessary change in the position or shape of the mirrors. These monitoring devices continually check the status of the segmented mirrors to maintain the parabolic form of the entire device and to ensure that no gaps or severe discontinuities are present in the surface of the primary mirror which would result in a distorted image or a loss in image resolution. The basic principles of this macroscopic technology can also be used in microscopic applications which involve fabricating deformable mirrors on integrated circuits. Several forms of micromirrors have emerged that combine on-chip addressing electronics with the micro-mechanical mirrors [1]. The geometric and material variations of these devices demonstrate that deformable mirrors can be designed and implemented for a variety of specific uses. The micromirror devices currently used are segmented surface devices in which the actuation of a small reflective mirror is controlled by a single address electrode. The metallized mirror and the address electrode of the device form a parallel plate capacitor. The voltage between the mirror and the electrode creates an electrostatic force acting on the mirror in the downward direction. The flexures holding the mirror are designed to deform, allowing the mirror to move vertically with applied voltage. The resulting spring force of the flexures ac ts on the mirror in the upward direction, countering the electrostatic force of the capacitor. 3.MICROMIRROR ACTUATION METHODS FOR SENSING 3.1 Electromagnetic Actuation: A micromirror can be deflected in two ways by electromagnetic actuation. First, by using Lorentz force to move a patterned coil by exerting external magnetic field. Second, by repulsive/attractive forces to repel/attract the magnetic material attached to the mirror from/to the actuator. Advances in material fabrication to provide thick film deposition of magnetic material on the surface of micro actuators should reduce voltage and current requirements. Magnetic MEMS can offer non- contact operation, and can induce mechanical resonance by magnetic element excitation. However, thermal budget imposed by the current CMOS technology limits the fabrication of the magnetic film on the substrate from reaching the desired characteristics [3]. 3.2 Piezoelectric Actuation: The piezoelectric actuation takes advantage of the corresponding physical deformation to applied electrical voltage property . It has relatively lower operation voltage (3-20 Volt DC) with low power consumption, better linearity, and fast switching time 0.1 to 1.0 milliseconds [3]. 3.3 Thermal Actuation: The main advantage of thermal actuation is the simplicity of the fabrication method. However, in general, thermal actuation tends to have higher power consumption and slow response time. The out-of-plane thermal micro actuator uses thermal expansion due to ohmic heating. A thin arm and wide arm configuration with one end fixed to the substrate has nonlinear property due to temperature dependency . 3.4 Electrostatic Actuation: Despite suffering from the pull-in effect, nonlinear behavior, and higher operating voltage, the electrostatic actuations fast response time (less than 0.1 ms), low power consumption, and the easiness of integration and testing with electrical control system make the electrostatic actuation one of the preferred choices for micromirror actuation . The operation voltage of the micromirror can be lowered while achieving more angular deflection if the stiffness of torsion bar is reduced. However, when the stiffness is lowered, the natural frequency of the micromirror also decreases, thereby reducing operational bandwidth. Say w, v, d scales as L1. Maximum Electrostatic Potential Energy Stored is given by: 3 Permitivity of vacuum and relative permitivity remains unchanged with scaling. Assume Vb scales linearly with d (Out of Paschen effect range), then 4 Electrostatic Forces Found to Scale as Square of L. Since mass and hence inertial forces scale as cube of L, Electrostatic Actuators are advantageous in Scaled Down Sizes [3]. Paschen Effect: Breakdown of continuum theory Figure 3 -Vb v/s P,d Paschen Effect: Breakdown of continuum theory: a) Vb scales non linearly in Paschen effect range. b) Vb increases in Paschen effect range. c) Higher Vb implies higher storage of energy and so larger force. 4.Summary of Advantages and Disadvantages of Each Actuation Mechanism Actuation Advantages Disadvantages Magnetic Low actuation voltage Relatively large angular deflection with lower driving power Difficult to assemble permanent magnets and coils with current CMOS technology Challenge in minimizing the size of device Piezoelectric Higher switching speed Low power consumption Short actuation range Thermal Ease of fabrication (require only one composite beam) for bulk production -High power consumption Slow response time Fatigue due to thermal cycle Electrostatic Low power consumption Fast switching Ease of integration and testing with electrical control circuitry Nonlinear characteristics Limited by the pull-in effect High actuation voltage Fabrication complexity 5.Proposed Designs 5.1 ANALYTICAL MODEL OF THE STACKED MICROMIRRORS In this section, micromirrors of different configurations are presented and compared in terms of their deflection angle and actuation voltage. The conceptual schematics of the three configurations analyzed are shown below. Figure 1(a) shows a conventional micromirror configuration. Figure 1(b) shows a unique configuration of the stacked micromirror also denoted as the first stacked mirror configuration, and Figure 1(c) shows a novel configuration of the stacked micromirror with an offset, which is also known as the second stacked micromirror configuration [8]. Figure 1. Schematics of Three Different Micromirror Configurations. The moving electrode (middle plate) in the stacked configurations is designed to be identical to the micromirror in size and material. Solutions for the following analytical model are independent of the shape and size of the plate (micromirror) as long as the dimensions of each layer are identical. First, an analytical model of the micromirror is derived to better understand the relationship between each parameter of the micromirror. The torque created by the electrostatic force between the micromirror and its electrodes, as denoted by M for each configuration, is derived from the following dynamic Equation (1): I (d2O/dt2) + C (dO/dt) + kO = M -(1) where, I is the moment of the inertia. C is the damping coefficient representing the squeeze-film. k is the torsional stiffness of the rotated serpentine spring. M is the torque created by the electrostatic force between the micromirror and its electrodes. The moment of the inertia of the micromirror along the y-axis is equal to (1/12)*ml2. Second, the value for damping coefficient, c, representing the squeeze-film damping of the micromirror is derived from the linearized Reynolds equation [13] and presented in Equation (2). C= -(48w3)/(à Ã¢â€š ¬6(b2+4)D3) (2) where, ÃŽÂ ¼ is the dynamic viscosity of the air. l is equal to the half length of the micromirror, . w is the width of the micromirror. b is the ratio of the width to the length of the micromirror. D is the initial air gap between the micromirror and its electrodes. Third, the torsional stiffness, k, of the rotated serpentine spring K= (G Jp)/(2NLp+3Lp) (3) where, G is the shear modulus of the material used in the rotated serpentine spring. Jp is the torsion factor of a beam with rectangular cross-section [14] and can be derived from the Equation (4) below. N is the number of the loops or turns in the rotated serpentine spring. Lp is the length of the rotated serpentine spring segment that is parallel to the rotation axis. Jp= (tw3/3)*(1-(192w/3t)*à ¢Ã‹â€ Ã¢â‚¬Ëœt=1,2,3.1/t3* tanh(tà Ã¢â€š ¬t/2w)) (4) Fourth, for the sake of simplicity, the micromirror is considered to be a rigid body and the deflection of the rotated serpentine spring in the Z axis is assumed to be negligible. In order to find the torque created by the electrostatic force between the micromirror and its electrodes, the parallel plate capacitor theory is used to derive the differential force that acts on a small segment of the micromirror and its electrodes: dF = 1à ¢Ã¢â‚¬Å¾Ã‚ ®V2 (wdx)/(D-x2 -(5) where, à ¢Ã¢â‚¬Å¾Ã‚ ® denotes the permittivity of air and V represents the potential difference. The torque, M, for each configuration is simplified with the normalized angle as represented by the following Equation (6), (7) and (8): MO = 0.5 à ¢Ã¢â‚¬Å¾Ã‚ ®wV2 (L2/D2 o2)*(o/1-o + ln(1-o)) (6) M1 = 0.5 à ¢Ã¢â‚¬Å¾Ã‚ ®wV2 (L2/D2 4o2)*(2o/1-2o + ln(1-2o)) (7) M2 = 0.5 à ¢Ã¢â‚¬Å¾Ã‚ ®wV2 (L2/D2 2)*(1/(1-2o+o2)) (8) where, M0 represents the torque created in the single mirror configuration. M1 and M2 denote the torque generated in the first and second stacked mirror configurations, respectively. To simplify the analysis, the fixed bottom electrodes are not used to actuate the micromirrors in both stacked configurations [8]. Figure-2. Torque versus Angle Comparison Plot for Three Micromirror Configurations. To visualize the magnitude of torques against the normalized angles, the normalized torques of M0, M1, and M2 are plotted in the Figure 2. The red line shows an exponential increase in the normalized torque as the normalized angle grows. The black line (conventional single mirror configuration) shows relatively gradual increase. As expected, while the deflection angle is small there are negligible differences between the three configurations in terms of the torque created by the same actuation voltage. However, as the deflection angle increases, the torque acting on the first stacked mirror grows exponentially. On the other hand, the second stacked mirror configuration shows a 50% increase in torque when compared to the single mirror configuration. 5.2 GEOMETRY The size and geometry of the micromirror are determined by the diameter of the optical beam as well as its application. For example, a micromirror used in an endoscope would require a smaller form factor. The micromirror discussed here is designed to be 1 mm in length, 1 mm in width and 10 ÃŽÂ ¼m in thickness. Also, it is assumed to be made of polysilicon that has a Youngs modulus of 160 GPa, Poissons ratio of 0.22 and density of 2330 kg/m3. Normally, the micromirror is designed to be suspended over a cavity by two torsion bars. Even though a straight torsion bar is simple to design and fabricate, it suffers from residual stress, which alters the stiffness of a torsion bar and the micromirrors frequency response. Furthermore, modification of the physical or geometric properties of the straight torsion bar is not straightforward since the geometry of the torsion bar such as the width and thickness are limited by the fabrication process. Hence, two rotated serpentine springs are chosen to hold the micromirror in place while the micromirror rotates. The serpentine springs stiffness can be easily customized regardless of the fabrication process. Thus, a rotated serpentine spring is employed in this analysis. The rotated serpentine spring used in this analysis is 4 ÃŽÂ ¼m wide, 10 ÃŽÂ ¼m thick, and 100 ÃŽÂ ¼m in length from one end to another end. The gap between each turn is 4 ÃŽÂ ¼m. Figure.3 (a) shows the expanded view of the rotated serpentine spring, and Figure.3 (b) shows the relative size and location of the spring on the micromirror. Figure 3. (a) Rotated Serpentine Spring Torsion Bar and (b) the Micromirror. Two different configurations of the micromirror are presented in Figure 4. To simplify modeling and analysis, the geometry and material of the plates (micromirrors) are kept identical except the stacking configuration. As shown in Figure 4(a), a micromirror is placed 250 ÃŽÂ ¼m directly above another square plate along the z-axis. In Figure 4(b), a micromirror is placed above another mirror with a 250 ÃŽÂ ¼m gap in the z axis and a 500 ÃŽÂ ¼m offset along the x- axis. The top plate is the micromirror, and the bottom plate is used as moving electrodes [8]. The micromirror and its moving counterpart have two electrodes located on their bottom. The electrodes are assumed to be made of 1 ÃŽÂ ¼m aluminium thin film. The rotated serpentine springs provide electrical connection between the electrodes and control circuitry. Figure-4. Stacked Micromirror Configurations. 5.3 Flexure Beam Micro-Mirror C:UsersAjiteshDesktopUntitled1.jpg C:UsersAjiteshDesktopUntitled.jpg Figure-5: Flexure Beam Micromirror APPROACH In order to develop the characteristic model of the Flexure-Beam micromirror device, it must first be characterized by equating the electrostatic actuation force of the parallel plate capacitor with the mechanical restoring force of the spring. Figure-6 shows a Flexure-Beam device in the resting ( V = 0 ) and active ( V > 0 ) modes where Zm represents the vertical height of the mirror above the address electrode. It is initially assumed that when no electrode potential is applied, the mirror rests firmly in the resting position, Z0, where the deflection distance, d, at all points on the mirror is zero [1]. Figure-6: Forces acting in flexure Beam Micromirror The Flexure-Beam device is a phase-only device since the direction of motion of the mirror is orthogonal to the reflective surface. Therefore, the optical path length can be altered while the direction of propagation remains unchanged. This makes the piston device very appealing for phase modulated filters or for adaptive phase correcting optics. Figure-7: Cloverleaf Micromirror One design improvement is another cantilever device known as the Cloverleaf. As shown in Figure, the flexures holding the reflective surfaces are placed in the center of the geometry. This takes the basic design of the Inverted Cloverleaf and reduces some of the negative effects observed. Also, the electrodes are located directly beneath each mirror which allows the cantilever surfaces to be individually addressable. Moving the support for the mirrors to the center of the pixel cell allows for better use of overall space. Now, the pixels can be placed so that adjacent cells nearly touch each other with only a small gap required between the mirrors of one cell and the mirrors of another. Most of the total surface area of the device is reserved for the active elements with the exception of the posts which hold the mirrors in place. This increases the active area of the device to as much as 86% which is similar to the remaining devices described in this chapter. This device, however, maintains the side effect of redirecting an incident beam of light in four distinct directions. C:UsersAjiteshDesktopUntitled3.png Figure-8 The Quad-Cantilever deformable micromirror device The significant advantage over the Cloverleaf devices is that the mirrors are aligned so that the redirection of the incident beam of light is in a common direction. This allows the device to be capable of switching or redirecting the incident light with little loss in amplitude. One characteristic similar to the Inverted Cloverleaf and Cloverleaf devices is the slanted behavior of the deflected mirror. This behavior is typical with cantilever devices and creates a non-uniform phase response across the surface of each mirror [1]. ELECTROSTATIC FORCE In order to compute the electrostatic force on the mirror, it must first be determined by which means this force will be calculated. More specifically, it must be decided whether the charge distribution, which is not uniform over the mirror surface, will be considered. The charge distribution will change with the position of the mirror surface and will also be altered by any mirror surface deformations or discontinuities such as etch holes. This leads to a complicated solution when integrating across the mirror. As an alternative, since both the charge distribution of the mirror and the applied electrode voltage are related to the electric field within the device, it is possible to express the potential energy, of the electric charge distribution solely in terms of this field: C:UsersAjiteshDesktopUntitled4.jpg Where, a is the surface charge distribution on the mirror, V is the actuation voltage between the mirror and address electrode, A is the area of the mirror, e0 is the free space dielectric constant and E is the electric field intensity at any point in the volume v within the device . By assigning an electric energy density of V-2coloumbs to each point in space within the device, the physical effect of the charge distribution on the mirror surface is preserved. From this approach it is easy to see that the non-uniform charge distribution on the mirror surface and the fringing effects of electric fields around the edges of the mirror are complementary descriptions of the same electrical phenomenon. 5.4 Dual Axis Micro-Mirror Figure-9: Dual-Axis micromirror Micromirror working principle The micromirror is made up by a circular polysilicon micromirror plate that is connected to a gimbal frame by a pair of polysilicon torsion springs (Fig. 9). The gimbal frame is supported by a pairs of polysilicon springs too. The structure is a dual axis micromirror: the slow axis works at the resonance frequency of 300 Hz while the fast axis works at the resonance frequency of 30 kHz. The fast axis allows the micromirror to be tilted around y direction while the slow axis allows the micromirror to be tilted around x direction. Both the two axis are actuated by electrostatic vertical comb drives. Vertical comb drives provide a motion in and out of the plane and present several advantages if compared to lateral comb drives. First of all, they generate a vertical force larger than lateral comb drives ,then they achieve larger scan angle at high resonance frequencies and finally they directly apply the torque to the micromirror without needing any hinges to couple their linear motion i nto torsional micromirror motion [4]. Each vertical comb drive consists of a set of moving mechanical polysilicon electrodes and a set of rigid electrodes suspended over an etched pit. The rigid electrodes are bound to the substrate, while the movable electrodes are linked to the axis. When a voltage is applied between the fixed fingers and the movable fingers, an electrostatic Torque arises between the two electrodes [4]. Consequently the movable fingers rotate around the torsional axis until the Electrostatic Torque (Te) and the Mechanical restoring Torque (Tm) of the springs are equal. These two torques can be expressed by (1) and (2). C:UsersAjiteshDesktopUntitled5.jpg C:UsersAjiteshDesktopUntitled 6.jpg Figure-10: Forces acting in a Dual-Axis Micromirror 5.5 Micromirror with Hidden Vertical Comb Drives The actuators and the torsion springs are hidden underneath the mirror to achieve high-fill factor in micromirror arrays. In this case, the fringing capacitance is significant and cannot be ignored [2]. The total capacitance as a function of angle can be calculated by integrating over the finger length. Fig. 11 shows the 3-D design of this: C:UsersAjiteshDesktopUntitled7.png Figure-11: Hidden Vertical-Comb Drive Micromirror 6.CONCLUSION: In this report, the first three phase of the project have been completed. The different actuation principles , their advantages and disadvantages have been discussed. Also four designs have been proposed and analytical study of them has been done. We can now move on to the next phase which comprises of modeling as well as analysis of the designs chosen.

Hinduism and Death Essay -- essays research papers

Each month our educational center section provides the Hinduism Today staff with a 'kind of group meditation. Individually we ponder our subject, and together we discuss it in detail. These past 30 days our meditation was on death. You might think we had a morbid March. Not so, since, as U.S. General George Patton rightly noted, "For Hindus death is the most exalted experience of life." This idea is sometimes hard for non-Hindus to grasp - especially for atheists facing Eternal Oblivion and for those of the semitic faiths which define death as a kind of punishment for man's sin and disobedience. According to this view, death is the ultimate sign of man's spiritual failure, a belief which understandably arouses instincts of denial and injustice. We may feel shamed, penitent, guilty and graced, not to mentioned frightened. And that's a long way from exultation. No such thoughts attend the dying and death of a Hindu. Of course, there is much sadness surrounding the passing of friends and family, but that is honest acknowledgement of our love and attachment to life and to each other. Inside we know that death is OK, it is natural. Inside we know that the soul, even if it was less than perfect in this life, is continuing its appointed journey toward Liberation and will, in time, reach the other shore. Such knowledge is reassuring, whether the death is another's or our own. Thus, Hindus called death by a lofty name - Maha Samadhi, "the Great Superconscious State." And to be near an awakened soul at the time he or she gives up the body is considered one of the most auspicious and blessed of opportunities. If we see death as the opposite of life, then life is good and death is bad. But if we see life and death not as hostile but as collaborative parts of a greater whole called samsara (the cosmic evolutionary cycle of birth-death-rebirth), then life is good and death is also good. Both are part of the Cosmic-What-Is. That being so, the pious Hindu approaches death as a mediation and a sadhana, as a spiritual opportunity. The physical body's impending demise compels him to practice detachment which yogis find easy but which is so difficult to achieve in the tumult of life. Yama's nearness brings an urgency to strive more than ever, to plunge deeper into consciousness in a renewed search for the Divine Self. No longer can he put it off. No mor... ...ht by fighting medical and legal battles in growing numbers. Death is personified in most cultures. The Greeks called him Thanatos, and to the Romans he was Mors. IN India he is Yama, riding on a black water buffalo, green in color, dressed in red. The pigeon and owl are his messengers, his weapon is a mace. He carries a noose, called kala-sutra or "black threat," with which he snares the life force, prana, and draws it from the body. He is also called Mrityu, "death," Kala, "time" and Dharma Raja, "King of Justice." There is much to be said of the Hindu insights on death, and only a fraction of it fit into the four pages you will find at the center of this issue. We intend to do more in the future and welcome readers' contributions. Our objective is to share the message of the awakened ones who conquered death and knew the body's dissolution as freedom from bondage, as liberation into the Light, as a flowing of the finite into the Infinite. They asked us to think fearlessly about death, to fathom its meaning. They urged us in exiting life to let go of the ego and be the immortal Self which time and again shrugs off the shackles of sorrow.