...Solution Nguyen Van Linh,11A2 Math, Highshool for gifted student, Ha Noi University of Science, Vietnam 4/1/2010 Problem: Given a cyclic pentagon ABCDE.AD ∩ EB = {X}, AD ∩ EC = {L}, AC ∩ EB = {Y }, AC ∩ BD = {Z}, EC ∩ BD = {T }. (EAX) ∩ (ABY ) = {A1 }, (ABY ) ∩ (BCZ) = {B1 }, (BZC) ∩ (DT C) = {C1 }, (DT C) ∩ (ELD) = {D1 }, (ELD) ∩ (EAX) = {E1 }. Prove that A1 B1 C1 D1 E1 is a cyclic pentagon. Solution: First we will express a lemma: Given a pentagon ABCDE.A1 , B1 , C1 , D1 , E1 , A2 , B2 , C2 , D2 , E2 are defined as the figure below. Then AA2 , BB2 , CC2 , DD2 , EE2 are concurrent. A2 A y1 E x3 z3 C1 x2 E2 E3 y 2 O B1 D1 x1 A3 D3 z2 C3 B B2 B3 E1 y3 A1 D2 D C2 z1 C Proof: Denote A3 = AA2 ∩ BE, similar we define B3 , C3 , D3 , E3 . Denote O1 = AA3 ∩ EE3 , O2 = AA3 ∩ BB3 . We will show that O1 ≡ O2 ⇔ Applying Menelaus’s theorem : AO1 EA3 E3 C1 . . =1 A3 O1 EC1 E3 A AO1 AO2 = .(∗) O 1 A3 O2 A3 AO2 A3 B B3 D1 . . = 1. A3 O2 BD1 B3 A EA3 E3 C1 A3 B B3 D1 So (∗) is true iff . = . (∗∗) EC1 E3 A BD1 B3 A Put BD1 = x1 , D1 C1 = x2 , C1 E = x3 , AC1 = y1 , C1 B1 = y2 , B1 D = y3 , CE1 = z1 , E1 D1 = z2 , D1 A = z3 . BA3 A3 C1 x2 (x2 + x1 ) We have A3 D1 .A3 B = A3 C1 .A3 E then = . So we can calculate EA3 = ,similar EA3 A3 D1 x1 + 2x2 + x3 with E3 C1 , E3 A, A3 B, B3 D1 , B3 A. and 1 y2 (y2 + y3 ) z2 (z2 + z1 ) x2 (x2 + x1 ) x2 (x2 + x3 ) + x3 ...
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...Algorithm :- Goal Stack Method. For every operator applicable, we check if prerequisites are satisfied or not. We do so by checking if preconditions are a subset of current state. Then we see if it is a member of plan already, because it would lead to a recursive dead end. If above those are satisfied then we first delete the delete list from current state and then append the add list, that would lead to the next state. We will continue this way until the goal state is a subset of current state. That would give a successful plan. Operators :- go(R, X, Y) :- precond - [landMark(X, R), landMark(Y, R), switch(R, on), posRobo(R, X)] add - [posRobo(R, Y)] delete - [posRobo(R, X)] push(B, X, Y):- precond - [landMark(X, R), landMark(Y, R), box(B, R, X), posRobo(R, X), switch(R, on)] add - [posRobo(R, Y), box(B, R, Y)] delete - [posRobo(R, X), box(B, R, X)] turnOn(R):- precond - [posRobo(R, _), switch(R, off)] add - [switch(R, on)] delete - [switch(R, off)] turnOff(R):- precond - [\+ posRobo(R, _), switch(R, on)] add - [switch(R, off)] delete - [switch(R, on)] roboCtoR(R, D):- precond - [posRobo(corridor, D), landMark(D, R), landMark(D, corridor), switch(R, off)] add - [posRobo(R, D), switch(R, on)] delete - [posRobo(corridor, _), switch(R, off)] roboRtoC(R, D):- precond - [room(R), landMark(D, R), landMark(D, corridor), posRobo(R, D), switch(R, on)] add - [posRobo(corridor, D), switch(R, off)] delete - [switch(R...
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...owned by the family. The list has 11 items, ranging from ‘electricity connection’ and ‘agricultural land’- to cars and air conditioners We have 12 grades in the new SEC system, ranging from A1 to E3 4 THE NEW SEC SYSTEM DISTRIBUTION OF HOUSEHOLDS India ( urban + rural ) New SEC System 18.4 14.7 11.4 9.7 7.5 3.2 1.8 0.4 A1 A2 A3 B1 B2 C1 C2 D1 D2 E1 E2 E3 7.9 5.3 15.4 4.3 *Figures in percentage This round of analysis has been conducted using data from IRS 2008 (round 20)*. We have drawn a sub-sample of 39,441 5 THE NEW SEC SYSTEM DISTRIBUTION OF HOUSEHOLDS Urban New SEC System 12.9 11.6 10.2 7.6 5.1 8.6 13.2 12.6 9.8 4.7 2.6 1.1 A1 A2 A3 B1 B2 C1 C2 D1 D2 E1 E2 E3 Current Urban SEC system The current urban SEC system has 8 grades, and is based on occupation and education of chief earner 24 20.5 18.2 11.9 6.6 7.9 8 2.8 A1 6 A2 B1 B2 C D E1 E2 THE NEW SEC SYSTEM DISTRIBUTION OF HOUSEHOLDS Rural New SEC System 22.2 20.1 15.6 12.8 10.7 5.1 0.04 A1 0.4 A2 1.3 A3 2.3 3.2 6.2 B1 B2 C1 C2 D1 D2...
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...of a 10,000-piece jigsaw puzzle, and a third by something more mundane but nevertheless important, such as a promotion at work. We do things for many reasons, but it cannot be doubted that one of the most persistent motivators, the one that is always involved in task completion, is the satisfaction and pleasure this brings to the doer. As one might suspect, this reaction is founded in specific parts of the chemistry of the brain. It is caused by a chemical named dopamine, which is released in the brain as part of the normal response to accomplishment. When it reaches another part of the brain called the dopamine receptors, it produces a sensation of pleasure, relaxation, and happiness. This is the body's natural mechanism for encouraging itself to further efforts, by making the completion of tasks pleasant. Unfortunately, in a few people, this reaction does not proceed as it should. The dopamine receptors in the brain are classified into five groups, D1 to D5, with a variety of functions. In these people, the dopamine D2 receptor is compromised or entirely fails to function. As a result, the person concerned will feel less of a reward sensation when accomplishing tasks. In some cases, when the D2 receptors are very badly damaged, the person will feel no satisfaction at all. The consequences to such a person vary with the extent of the damage to the D2 receptors. When these are merely dulled, not...
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...INDUCTIVE APPLICATION SKETCHES : INDUCTIVE PROXIMITY SWITCH IPS IPS IPS RAILROAD YARD POSITATION SENSING NUT PLACEMENT ON TRANSFORMER SORT FERROUS & NON FERROUES CAN TOPS DETECTING INCORRECT SHAPE OF TARGET MATERIAL CUTTER M/MIN DOG IPS M8 IPS XXX SLOT IPS MIN BLK IPS MIN BLK POSITION SENSOR SPEED SENSING OF MACHINES Trigger SENSOR TABLET COUNTING POSITIONING OF BOTTLES Metal Parts Sensors SENSORS Work to be dipped Sensor VALVE POSITION CONTROL POSITION SENSOR FOR GALVANISING PLANT DRILL BREAK SENSOR PART COUNTER INDUCTIVE PROXIMITY SWITCH - SERIES IPS Flush Mounting: Fixing of switches in the metal up to their sensing face. Non-Flush Mounting: These switches are to be mounted keeping metal free zone around its sensing face. SENSING DISTANCE Sensing Distance of inductive Proximity Switch depends on, Size of the Proximity Switch/ Sensing Face and Material to be sensed. OBJECT The sensing distance specified here is for object made of mild steel, having thickness of 1 mm. Size of the object should be at least equal to the diameter of switch / sensing face. For object other than M.S. apply suitable correction factor CORRECTION FACTOR : Apply following correction factor (%) when object is other than Mild Steel. MS 100 SALIENT FEATURES : 1) 2) 3) 4) 5) 6) Repeat Accuracy Hysteresis Grade of Protection Enclosure LED Indication Ambient temp : : : : : : 0.02 mm 3-10% IP 67. For block type: IP 55 Metallic (Nickel-Chrome...
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...INTERNATIONAL SCHOOL OF MANAGEMENT AND TECHONOLOGY GAIRIGAON, TEENKUNE, KATHMANDU NEPAL Unit Title: Menu Planning and Product Development Unit Code: Y/601/1762 Session/Year: Sept 2013 Assessment No: 01 Assignment Launch Date: Due Date: Assignment Title: Student’s Name: …………………………………………. |Outcomes Assessed |Possible evidence |Assessor Feedback |Criteria Met or|IV Agreed or Not |Comments | | | | |Not | | | |LO1 Understand factors that influence menu planning decisions | |1.1 Discuss the |different principles of recipe | | | | | |principles of recipe |development such as creativity; cookery| | | | | |development |styles; nutritional composition; | | | | | | |consistency of product; methods e.g. | | | ...
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...[pic] Assessment Activity Front Sheet This front sheet must be completed by the learner (where appropriate) and included with the work submitted for assessment. |Learner Name |Assessor Name | |Date Issued |Hand in Date |Submitted on | |Qualification | |Level 4 BTEC Higher National in Business | |Unit 14 | |Working With and Leading People | Assignment 1 will give learners the opportunity to achieve: Learning Outcome 1 – explore recruitment, selection and retention procedures Learning Outcome 2 – understand how to build winning teams Learning Outcome 3 – evaluate the styles and impact of leadership Learning Outcome 4 – analyse the work and development needs of individuals considering performance monitoring and assessment |Criteria reference |To achieve the criteria the...
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...|Date Issued | |Business Environment | |Week beginning 11/02/13 | |Student Name |Student ID |Due Date – 03/06/13 | |Lecturer Name: Ibrahim kevin, Sujata,& Issac |Internal Verifier Name | | |Mr. M. Azam | Rules and regulations: |Plagiarism is presenting somebody else’s work as your own. It includes: copying information directly from the Web or books without | |referencing the material; submitting joint coursework as an individual effort; copying another student’s coursework; stealing coursework from| |another student and submitting it as your own work. Suspected plagiarism will be investigated and if found to have occurred will be dealt | |with according to the procedures set down by the College. Please see your student handbook for further details of what is / isn’t plagiarism.| Coursework Regulations 1. Submission of coursework must be undertaken according to the relevant procedure – whether online or paper-based. Lecturers will give information as to which procedure must be followed, and details of submission procedures and penalty fees can be obtained from Academic Administration or the general student handbook. 2. All...
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...Psychiatric Genetics: September 2002 - Volume 12 - Issue 3 - pp 173-176 Brief Reports No association between the dopamine D3 receptor gene and Korean alcohol dependence Lee, Min-Seoab; Ryu, Sung-Hob Abstract The genes encoding dopamine receptor (DR) subtypes have received considerable attention for the past several years as a potential candidate that may affect susceptibility to addictive disorder, including alcoholism. The many association studies that compared the frequencies of alleles of the dopamine D2 receptor (DRD2) gene between alcoholics and control groups have produced results, but some have been equivocal. Dopamine D3 receptor genes (DRD3) are in the same class as DRD2 but with different pharmacological properties. So we compared the distribution of genotypes and frequencies of Bal I polymorphism of the DRD3 gene in alcoholics and controls to assess the role of the DRD3 gene in Korean alcoholism. For this study, 67 male probands from alcoholics and 67 age-matched normal male controls were engaged. No evidence for an allelic association was found between the A1 allele of DRD3 and alcoholism in a Korean population. These results suggest that any role played by this receptor may account for only part of the variation in susceptibility to alcoholism. Keywords: * sediment compression; * geotechnical; * elevation correction; * index point correction; * decompaction; * Forth valley; * Scotland Abstract Fine-grained sediments usually suffer post-depositional...
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...Basal Ganglia Pathology in Schizophrenia: Dopamine Connections and Anomalies WORD COUNT: 1100 As unique and complex organisms, we encounter challenges which may have a profound impact on our cells and essentially the quality of life. Schizophrenia affects 1.1% of the world population and has a detrimental impact on society, a mental disease where a cure and predisposition is yet to be established. Primary and secondary literature are distinct informative sources which enable us to better understand scientific concerns in the world and provide effectual reasoning. The review article identifies pathways or systems involving dopamine within the basal ganglia and how fluctuations or absence of this neurotransmitter can cause implications in brain functioning- evident in schizophrenic patients. The Journal of Neurochemistry comprises of peer-reviewed articles that can appeal to a spectrum of individuals, ranging from emerging scientific researchers and health professionals to the general society. The extensive citation and depth may indicate the credibility of the journal and numerous publications demonstrate the success in communicating the nature and extent of current issues in the field of neuroscience. The review article investigates the relation between dopamine levels in regions of the brain and how abnormalities contribute to poor cognitive behavior which can be seen in schizophrenic patients. The most relevant discipline to complement the article would therefore be...
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...seven members with varying degrees of professional expertise in strategic marketing. That expertise ranges from backgrounds in the non-profit sector to occupational therapy, financial analysis, logistics, international consultancy, and corporate management. The specific work expertise related to marketing that is relevant to this class is also varied with some members having strong expertise in marketing, sales and business and financial relations, while others have had no experience at all in marketing. This sets up the members for an interesting working relationship. All have had ample experience doing group work in past classes at Liberty University. The group is dynamic in nature. All in all, the individuals are go-getters who work well both as managers and as team members or followers. There seems to be a common work ethic where all members have a strong sense of initiative and are autonomous and self-motivated. While clearly acknowledging that no one is perfect, all seem committed to strive for excellence. Most of the members are process oriented and there is a strong sentiment that the tasks, guidance and specific roles for each individual in the group will need to be clear at all times. All members work reasonably well under pressure, but some members feel that stress is best...
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...Interview Project My person of choice to interview for this project was my mother. She has personally in business for well over 15 years. She is talented and knows what she is doing through and through, and has helped lead her team to the top many times. My mother Jill works as an area manager for SunTrust in the Charlotte area. I decided to pick her, not only to have someone to interview, but also to get to know her on a more personal level and to see personally how she truly feels about what she does. I set up the interview via email. It becomes difficult trying to get together and be able to sit down and personally conduct the interview when she is out and about working. I attempt to visit as often as I can, but there are some nights that she doesn’t get home until really late. She was welcome and willing to do it, and her answers gave me more of an insight of what she really does. Here are the following questions, as well as answers. 1.) a. How do you measure success? In many ways… as a leader I measure success by how well my team achieves various key measures. My personal success is when my team is considered successful by others. b. Where does that measurement stand now? Currently we are exceeding key metrics and a majority of the 18 branches I lead are at or above target for the 4th quarter. c. What actions are you taking to change the measurement(s) (in the right direction)? My goal is to have all branches achieve their goals so for those that are not at...
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...Notes for using the Job Analysis template Job analysis is an in-depth study of a job (not the person in the job). It provides information for job descriptions. In doing the analysis, you will need to gather information about the job, eg by interviewing employees, observing performance of certain tasks, asking employees to fill out questionnaires and worksheets, and collecting information about a job from other sources such as related units of competency. Whatever sources you use to get basic information on what the job entails, the analysis should end up with written results that can be reviewed by the incumbent, or other employees who know the job. During the review, duties, competencies, knowledge, skills, abilities, and other characteristics of the job can be added, deleted or modified. Job analysis is designed to provide a reliable method of quickly and effectively identifying critical competencies (ie knowledge, skills and abilities) and establishing the qualifications for a job or role. The step-by-step process below will assist you to complete a job analysis using the template provided. |Process |Explanation | |Step 1. Understand the job |Start by developing a complete understanding of the position. This is the foundation on which training (and | |including duties and tasks |other human resources processes) is based. The basis...
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...Math and Me Vanessa Bashore MM212: College Algebra “We both just did out fives yesterday, how can she be doing her sixes already today?” I can remember thinking this like it was yesterday instead of 29 years ago. I was in first grade, and we were doing our times tables. I had been the first one to do all of my numbers so far in the class, and now Sara was up there doing her sixes before I knew them. That would just not do for me, so that night I went home and learned the rest of my numbers, six through nine, to be able to do them for the teacher the very next day. I guess you can say that this is where my love for math started. I am not saying that I never had to study or that I have never struggled with any math in my life, but for the most part, most of the math classes I have taken in my life have come pretty easily to me. I love when you are struggling with something in math and all of a sudden you have that a-ha moment where everything suddenly makes sense. In the past I have taken all the basics in math including Algebra and Geometry. However, these courses were also taken almost 20 years ago, and I have to admit that I am a bit rusty when it comes to all of the formulas and properties. Even though I may not remember all of the formulas, I still consider my previous courses a success. I may not remember the exact formula, but I do remember that the formulas exist and it is just a matter of looking the formula up and plugging in the right numbers to get the correct...
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...profession in or subjects that we feel we are good at. However, all of this means absolutely nothing if we are not satisfied with the environment in which we work. In this assignment I will be discussing three companies from FORTUNE Magazine’s annual ranking of America’s “100 Best Companies to Work For”. I will be describing the work environment of these companies and identifying elements that promote motivation and cohesion among employees in these workplaces. Additionally, I will be relating my observations to materials found in our textbook. The first company that I will be discussing is Dreamworks Animation. According to the about section on their website, “DreamWorks Animation creates high-quality entertainment, including CG animated feature films, television specials and series and live entertainment properties, meant for audiences around the world. The Company has world-class creative talent, a strong and experienced management team and advanced filmmaking technology and techniques” (http://www.dreamworksanimation.com/company) Dreamworks Animation has also made this list of FORTUNE’S best companies to work for, for the last five years. An element within this company that fosters group cohesion is the area in which they work that allows for on campus events and activities that includes friends and family in addition to work colleagues. Throughout the year, Dreamworks...
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