Banach-Tarski Paradox Talk Essay Example

Banach Banach-Tarski Paradox Talk Essay Banach-Tarski Paradox Talk Essay Essay Topic: Talk The catch, of course, is that each of these four pieces are so complex that they do not have any measure (i.e., their respective volumes are not well-defined), and that we do not know how to mathematically describe them other than the fact that they exist and exhibit the strange re-assembly property. In fact, it is quite possible that each of those pieces consists of isolated points spread out throughout the entire volume of the original sphere S. Now, accepting this is really pretty tough, but its possible to attempt to make an intuitive rationalization of it. Ill do it by way of an analogy with a physical sphere.  Lets forget for the moment the mathematical sphere S, which has infinite density. Lets consider a real, physical sphere B (for ball), also of radius 1. B is identical to S except that it consists of a finite number of atoms. These atoms are lain out in a crystalline structure. Usually, the crystalline structure of an object is a simple geometric relationship between neighbouring atoms.  Notice that although the geometric relationship between atoms define its crystalline structure, the precise distance between atoms in different molecules may vary. This leads to materials of different densities. Now, we perform the equivalent of a Banach-Tarski decomposition on our physical sphere B: we atomize B into four spherical clouds of atoms, lets call them C1, C2, C3, and C4. (Well ignore the central atom in B, just as in the mathematical version of this decomposition.) Lets assume that each of these clouds are sparse enough that they are gaseous, no longer solid by themselves (to try and imitate the immeasuarability of the four pieces of S ). Furthermore, lets say that the atoms in each of these clouds are laid out in a regular pattern, so that if we rotate C1 by some angle G, and put it together with C2 in the same spherical region, the atoms in both clouds line up into the same crystalline structure as B, except that now the distance between atoms is greater (to account for the missing atoms now in clouds C3 and C4). Similarly, assume we can do the same with C3 and C4: we just translate them away from the original spherical region of B so that they dont interfere with C1 and C2, and reassemble them into another sphere. Now, we have successfully built two (physical!) spheres with the same radius as B, using only material from B itself. Each of the two spheres have the same crystalline structure as B. The only difference between these spheres and B is that they each have only half the density of B.  To bring this analogy back to the mathematical sphere S: we can think of the infinitely complex pieces A1, A4 as the equivalent of atom clouds, which are non-solid (immeasurable). For those that know something of topology, which excludes myself, you can think of the crystalline structure of S as the topological structure of points in R3. These clouds lack this crystalline structure (i.e., they are unmeasurable); but by suitable rearrangement of them, we can form them into two identical spheres, with half the density of the original, so that they do have the same crystalline structure (i.e., the resultant two spheres are well-behaved, measurable sets). These two spheres are identical to S, except for having only half the density of S. However, S is infinitely dense, and so are its pieces A1, A4. This means the two resultant spheres are still infinitely dense. That is to say, they are identical to S. Et voila!There is no paradox here after all. We are merely seeing the logical consequence of mathematical sets like S being infinitely dense. In fact, if you think about it, this is not any stranger than how we managed to duplicate the set of all integers, by splitting it up into two halves, and renaming the members in each half so they each become identical to the original set again. It is only logical that we can continually extract more volume out of an infinitely dense, mathematical sphere S. Epilogue Now, having convinced you that the Banach-Tarski Paradox isnt really that strange after all, Id like to mention that the derivation of this paradox depends on the Axiom of Choice, and although most mathematicians accept the Axiom of Choice, not all agree with it. There has been much debate over the merit of adopting this axiom, as well as research into the consequences of choosing either way: it does simplify a lot of mathematical proofs, but it also introduces strange results like the Banach-Tarski paradox which we just discussed. If youre unfamiliar with the Axiom of Choice, it basically goes like this: if you have a collection of sets C (which may potentially contain an uncountably large number of sets), then there exists a set H, called the choice set, which contains precisely one element from each (non-empty) set in C. H is called the choice set because you are essentially going through each set in C and choosing one element from it. One feature of the Axiom of Choice is that H is simply assumed to exist; there is no algorithm given which might tell you how to construct an example of H. In the case of the Banach-Tarski paradox, each of the infinitely complex pieces of the sphere S is built from these choice sets. Since we do not know of any algorithm to actually construct these sets, we can only indirectly infer some of the properties of the pieces, such as their not having a (Lebesgue-) measure (i.e., they have intractible geometric complexity). Some of the debate surrounding the Axiom of Choice revolves around whether these non-constructible sets are mathematically admissible. The reader is encouraged to make good use to Google for more information about this debate; it is too vast a topic to explore in this article. It suffices to say that most mathematicians adopt the Axiom of Choice, simply because of the usefulness of results that can be derived. One might wonder, then, about what would happen if we didnt assume the Axiom of Choice. We do know that we would likely be unable to derive the Banach-Tarski paradox; however, we also know that paradoxical sets do exist even without the Axiom of Choice. These paradoxical sets exhibit the same weird behaviour of the Banach-Tarski spheres, in that you can decompose these sets into a finite number of parts, and reassemble them into multiple copies of the original.

How to Get Your CDL in Wyoming, Nevada and New Mexico

How to Get Your CDL in Wyoming, Nevada and New Mexico This article is useful for anyone who wants to get your CDL in Wyoming, Nevada or New Mexico. If you want to learn about earning a CDL at other states, we have put together a comprehensive guide on how to get a commercial driver’s license in every state of the country. WyomingIf your vehicle has a gross vehicle weight rating of 26,001 pounds, or more or carries 16+ passengers (including the driver), or you transport hazardous material in an amount which must be placarded,   you are required to have a CDL.To obtain a CDL, you must  complete a series of written knowledge tests, a vision screening, and a driving skills test.Written Knowledge TestsAll written tests are multiple choice, and require a passing score of  80 percent correct. Written tests are valid for two years.You must take a written test  if:You  never been previously licensed in the United States, any U.S. Territory, Canadian Province, or GermanyYour  driving record indicates your last license has been expired, revoked, or denied for two years or longer, or your  privilege to drive has been revoked, canceled or disqualifiedYou are  upgrading your  class of license or adding any endorsementsYou are  removing the air brake restriction â€Å"L;† and you are  removing the Air Over Hydraulics restrictionIf you have  a CDL license with a hazmat endorsement â€Å"H,† you will be required to take the hazardous materials test upon transferring your  out-of-state CDL license. If you already have a  Wyoming CDL, you must  retake the hazmat test if you have not  passed the test within the previous two years.Vision ScreeningYou must receive  a vision reading of 20/40 with both eyes to pass the vision screening. If you cannot  meet this standard with or without glasses, you will have to  obtain a vision statement from an  eye doctor. If you wear contact lenses or glasses during the vision screening, you will be required to wear them at all times while d riving. A vision reading of worse than 20/40 in one eye will restrict you to intrastate driving only.Skills TestA skills test will consist of a vehicle pre-trip inspection, a basic control skills test and an over-the-road skills test. You can only take a skills tests after you have  successfully completed all applicable written tests.You must  test in a  vehicle representative of the class of license for which you are applying. Skills tests will not be conducted in a loaded commercial vehicle; simulated weight is the only thing allowed in trailer. Additionally, placarded vehicles are not allowed to be used for skills testing.The fee for a skills test is $40.Applicants for a Wyoming CDL who hold a valid U.S. Military license must pass all written tests for the class of license they currently hold.DisqualificationsWyoming law  states CDL holders may be disqualified from driving a commercial motor vehicle, have their license canceled, or be prohibited from obtaining a CDL if th ey are convicted of 2 or more serious moving violations in a 3-year period, which may include the following:Speeding 15 mph+Following too closelyNot posessing  a CDL or driving without a CDL on your personImproper or no endorsementsReckless drivingErratic or improper lane changeUse of cell phone OR texting while drivingYou  will have their license cancelled and will be disqualified from driving a CMV or from obtaining a CDL if convicted of:Driving under the influenceDriving with a blood alcohol of .04% or greaterLeaving the scene of an accidentDriving under suspension in a CMVDriving a motor vehicle used in a felonyNegligent operation of a CMV causing a fatalityNevadaCommercial Learner’s Permits (CLPs)Beginning in early 2016, CLPs will be administered  instead of a Commercial Driver’s License Instruction Permit (CDL IP).  To obtain a CLP, you must have a base non-commercial or commercial license. You must  have a CLP to get a CDL.A CLP is valid for 180 days, and must be held for 14 days prior to taking a skills test.Commercial Driver License  (CDL)You must have a CDL to drive a commercial motor vehicle, which is  a motor vehicle or combination of motor vehicles used in commerce to transport passengers or property if the motor vehicle meets the following considerations:The vehicles have  a gross combination weight rating of 26,001 pounds+, inclusive of a towed unit(s) with a gross vehicle weight rating of more than 10,000 poundsThere is  a gross vehicle weight rating of 26,001 pounds or moreThe vehicle(s) are  designed to transport 16 or more passengers, including the driverThe vehicle(s) are  of any size and are used in the transportation of hazardous materials that require placardingYou must be at least 21 years old to be issued a CDL to operate a commercial motor vehicle in interstate commerce and to receive endorsements for passengers or hazardous materials. You must be at least 25 to receive an endorsement for vehicle co mbinations over 70 feet in length.  CDLs issued to applicants age 18 to 20 will contain Restriction R (no passengers or hazmat) and Restriction 2 (intrastate commerce only).Requirements  Ã‚  to ApplyYou must list all states where you have held any commercial or non-commercial driver’s license in the past 10 years. Your driving history in each state will be checked.Commercial drivers must meet the Residency Proof of Identity requirements for a Nevada driver’s license.You must self-certify the type of driving you do and, if needed, submit a Medical Examiner’s Certificate.  Your employer may require a physical even if the state does not.If a physical is required, you must obtain it from a physician listed in the National Registry of Certified Medical Examiners.New MexicoAnyone applying for a CDL Permit, a first-time Commercial License or a Commercial License renewal must have the following documentation:A state birth certificate, U.S. passport, or other proo f of lawful presence in the U.S.A Social Security CardDOT Medical Certification2  verifiable proofs of physical residency in New MexicoA valid New Mexico driver’s/CDL licenseIf  you do  not have a current, valid DOT Medical Certificate on record, you  will be required to submit a copy of your medical certificate.Knowledge TestsYou must  to pass all required CDL Knowledge Tests for the Class and/or type of vehicle you  want to operate.If you  fails any one CDL Knowledge Test, you must wait one week (7 days) from day of testing before retesting.Any applicant may take any one CDL Knowledge Test 3x within a one-year period. After failing 3x, you  must wait one year from the first time tested before retesting.No documentation of any kind and no cell phones are permitted in the test area.If you are  found cheating or committing an offense while testing, you will have your  CDL application or license disqualified for one year and must  obtain a Class D license if holding a CDL.Skills TestsThe Skills Tests, which is made up of the Pre-Trip, Basic Control Skills, and Road Testing, are administered by a third party examiner and will normally take two hours.If you  fail, you  must wait one week from the day of testing before retesting.You  may take the test 3x  within a one-year period. After the third fail, you  must wait one year from the first time tested before retesting.Each part of the Knowledge and Skills Test is graded independently. A passing score is 80% or higher

Entrepreneurship Research Paper Example | Topics and Well Written Essays - 1250 words

Entrepreneurship - Research Paper Example Such a simplistic definition is not so all-encompassing as the true definition of the word; however, it helps provide the reader with a baseline of pre-conceived notions regarding the scope of understanding associated with entrepreneurship. As compared to a host of other types of jobs accessible to people, being an entrepreneur is unique in that it requires an individual with a host of natural, learned, and inborn talents to compete successfully in hostile marketplace. As such, the successful entrepreneur must embody self-discipline, timeliness, attention to detail, readiness to risk, calmness, and self sacrifice, just to name a few. Furthermore, it is incumbent on most entrepreneurs to be responsible for nearly every aspect of business management in the beginning stages of business start-up. As a result, the burdens associated with accounting, cash flow, marketing, support, product development, and market entry and expansion can often be too heavy a burden to bear for a single indiv idual, which often leads to eventual withdrawal of a business from the market before any recognizable profit potential is generated. Accordingly, the most dangerous stage of entrepreneurship is the uncertain outset, when cash flow has not been established, personnel have not been hired, and the kinds of product/service supply and demand have not yet been fully differentiated. However, although this analysis has briefly acquainted the reader with a very simplistic definition of entrepreneurship, the complicated paths, directions, and decisions associated with entrepreneurship are infinitely more complex than can be implied by a cursory definition of the term. For instance, one of the primary needs that an entrepreneur must address is which direction he/she wishes to take his/her growing firm in the future. Business owners or would-be business owners are often acutely aware that they wish to run their own business but often less aware of which form that business will take in order to generate profits and provide them stable employment. For instance, would-be entrepreneurs are often acutely unaware if they wish to pursue sole proprietorships, general partnerships, limited partnerships, regular corporations, S corporations, non-profit corporations, professional corporations, limited liability corporations, professional limited liability corporations, or partnership limited liability corporations. Each of these forms of incorporation has varying advantages and drawbacks; accordingly, each will be determined based on the type of business one is engaged in, how many overall partners may eventually be included, the size and scope of the business in its ideal form, as well as the amount of money the business is expected to generate in 1, 5, and 10 years time. On the overall level of difficulty, sole proprietorships are often the easiest to create and maintain. Because the business and the owner are essentially the same entity, decision-making comes down to a single per son without the need to consult boards, chairpersons, or shareholders (Freeman, 2007). Additionally, sole proprietorships also offer a degree of cost savings due to the fact that there are no fees associated with the creation of the business entity. However, the main disadvantage of this type of business is that the owner is directly and personally responsible for any losses, legal issues, and/or judgments. A second major drawback is the

SAP ERP systems Essay Example | Topics and Well Written Essays - 1000 words

SAP ERP systems - Essay Example SAP product design and development deals with business expansion and advancements. The system reduces marketing time while increasing productivity from the developed products. As the product design cycles are reduced, collaboration also improves under the integrated SAP software dealing with product development. It connects development and design, manufacturing, procurement and services seamlessly via flexible collaborations’ environment. Its other tasks are to raise the innovation speed, lower marketing duration through aligning products developments and designs with manufacturing and procurement. It allows for flawless environments collaboration to avoid time wastage and minimizes the cost of the designed products through streamlining design and optimizing components. The system ensures regulatory compliance under transparency during the phases in product definition. Decision-making becomes speedy to maximize quality in 3D visualization embedding. Production and inventory co ntrol offers a suite full of features essential for the success of supply chain management and inventory controls. The objective is to a kitty, track objects, industry specified customization to ultimately assist in boosting the bottom line. It has several benefits in that it increases revenue, accelerates decision making and identifies non-moving and discounted products in real-time. The I.T infrastructure is simplified whilst optimizing inventory levels by ensuring production of the right products at the right time.

The Quality Time Essay Example for Free

The Quality Time Essay I was sitting in my grandfather’s dark house, sitting in front of my father’s big stereo with his huge gray Sony headphones listening to his Boys II Men cd. I feel a tap on my shoulder; I turn around and it’s my father. He said, â€Å"Come outside, dad’s going to teach you how to change the oil in the truck. † The first thing that came to my mind was why in the world would I want to learn how to change oil in a car. I am only 11 and I don’t have a car. My mom would always say â€Å" Felicia before you were born your father wanted you to be a boy so he didn’t want to know the sex of the baby. He wanted to be surprised because he just knew you were going to be a boy. † I figured hey I guess this was the closest he would get so I always went a long with it. On top of that I was a tomboy so I guess it made it easier for him to ask me to come learn about something so minuscule in my life at the time. I went out to the car with my father and he had a smirk on his face and said,† Felicia, dad’s going to teach you how to change your oil because when you get older and you finally get yourself a car this will save you a lot of money. As always I said â€Å"ok,† When he gave me the smirk I think he knew deep inside how much I didn’t care or if I would even remember, but he did it anyway. He slid under the car and just talked and talked and talked the whole time. I didn’t remember anything he said because I couldn’t see it for myself so my mind would just start wondering. The most I did was hand him tools, but that was as good as it got. My father lived with his father, and that’s where I would stay. I was riding my bike in a circle around the house because I wasn’t aloud to leave the 2 acres of land that we had. Off in the distance I noticed my father and my oldest brother mowing the lawn and it looked fun. I was a very bored so I decided to ask my father if I could help mow the lawn. I jump off my bike leaving it in the drive way and run over to my father in the shed. I see my father in the shed putting oil in the lawn mower. I noticed that the lawn mower that my father was putting oil in didn’t look anything like the lawn mower my brother was pushing in the extremely hot sun. This lawn mower I could sit on and ride. So I walk over to ask him. I said I said â€Å" Hey dad what are you doing? he said, â€Å" putting in the oil to mow the lawn. † So I asked â€Å" Can I mow the lawn? † He was very hesitant for a min and looked at me and smirked and said â€Å" Now Felicia your to young to mow the lawn, this isn’t a toy. † I was determined to ride on that lawn mower even more because he didn’t think I could. I just said â€Å" I know its not a toy, but I’m not doing anything else. † He didn’t respond back to me let alone give me eye contact so I went back into the house. After that I didn’t feel like doing anything, not even ride my bike so I just sat down and watched the 5 channels of television that we did have. About 20 minutes later he came in the house and said â€Å" Felicia, come on Imma teach you how to ride the lawn mower. † I was kind of surprised that he changed his mind, but then again I really wasn’t. Once I went out there and learned it, I had the most fun! Now I will admit I didn’t cut the grass as neatly as he did because most of the time I acted as if I was driving a car. My father would stand in the yard and watch me. He never corrected me or told me to slow down. It was as if he was proud and I took interest in something that he liked to do. Every weekend when a thing calmed down and there wasn’t much left to do around the house my father and I would go for a car ride. He lived in Hereford, MD, which is very country with a ton of land, and he would drive all around the windy roads and talk to me about life and how I need to work hard to get to where I want to be in life. After everything he would always end his rants with, â€Å" Felicia you don’t understand now, but you will when you get older. † I hated hearing that. I always knew that I understood him now, but I really didn’t. Just the other day my father and I went for a ride. It wasn’t an intentional ride, but I was helping him move furniture. My father and I haven’t had a ride like this since I was about 14 years old. I am now 27. A lot has changed since our talks. Once again I caught myself trying to convince my father how I understand everything he is saying, but this time I truly did understand and he didn’t question my understanding either. My father and I didn’t do the typical things that I young girl would do with her father. I can actually tell you how many times that we actually went anywhere that was really fun. We would play catch, tennis, and badminton and have big cookouts. We had our times at the movies and the pizza buffet, but the times that meant most to me were the car rides and the little life lessons. As I am older now I reflect upon the struggles that my father would speak of. I wish that I could remember how to change my oil, but the only thing I can remember now is how to check my oil. I now understand that my father never really knew how to be sensitive or tell me about boys, but he showed me that he loved me in the only way that he could. I think that I always knew that, that’s why I have always aimed to please him and have him be proud of me. My father is a very stern man and he shows tough love. I have learned that love comes in all forms, and just because someone may not show it like the next person doesn’t mean that its not there. I know now that the way he loves has passed down to me because I tend to treat my children the same way. I am not as sensitive with my children because I was never really given hugs all the time and shown affection. I never once doubted that I wasn’t loved, but I try to embrace my children more and not only show them but tell them.

Rappaccini’s Daughter - Perceptions, Impressions, and Interactions Ess

  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   Writers often use the characters in a story to make a comment on people's actions.   In "Rappaccini's Daughter," by Nathaniel Hawthorne, the characters make a telling comment on the interaction of people within society.   Hawthorne, a "thinker and artist" (Delbanco 14+), creates characters that are much different from what they seem like initially, and this encourages the reader to look deeper into issues instead of judging things by first impressions, rumors, or appearance.   Cappello defines the judging of people as "how [people], in general, translate or read the world" (263).   Hawthorne probes how people look at one another through his portrayal of Baglioni, Rappaccini, Giovanni, and Beatrice and their reactions with and toward one another. Baglioni's character initially makes readers believe that he is a helpful doctor, and the text of the story constantly shows him wanting to aid Giovanni.   Baglioni begins the story by supposedly clearing up the mystery regarding Rappaccini and his daughter:   "You shall hear the truth in respect to the poisoner Rappaccini and his poisonous daughter, yes, poisonous as she is beautiful" (Hawthorne 271).   He even remarks to the misguided Giovanni that Rappaccini "cares more for science than for mankind" (Hawthorne 259).   The picture that Baglioni paints scares both Giovanni and the reader into believing that horrid things are going on at Rappaccini's mansion.   Cappello believes that Baglioni is obviously "aware of the power of his language" (266).   Baglioni's advice continues, and he even warns Giovanni through a historical fable that depicts a woman "nourished with poison from her birth upward " (Hawthorne 270).   All of these warnings achieve their goal of helping t o formulate Giovan... ...presentative Men.'" Diss.   University of Toledo, 1988.   DAI 50-02A (1989): 0443.   Moss, Sidney.   "A Reading of ÔRappaccini's Daughter.'" Studies in Short Fiction 2 (1965):   145-156. Nelson, Ronald.   "Two Potential Sources for Pierto Baglioni in Nathaniel Hawthorne's 'Rappaccini's Daughter.'"   Studies in Short Fiction 28.4 (1991):   557-564. Predmore, Richard.   "The Hero's Test in 'Rappaccini's Daughter.'"   English Language Notes 15 (1978):   284-291. Ross, Morton.   "What Happens in 'Rappaccini's Daughter.'"   American Literature:   A Journal of Literary History, Criticism, and Bibliography 43 (1971):   336-345. Stoehr, Taylor.   Hawthorne's Mad Scientists:   Pseudoscience and Social Science in Nineteenth Century Life and Letters.   Hamden:   Archon Books, 1978. Uroff, M.D.   "The Doctors in 'Rappaccini's Daughter.'"   Nineteenth-Century Fiction 27 (1973):   61-70.   

Jonathan Edwards Essay

1. Explain the mood of this passage. The mood of this passage is somber and serious. During the passage Jonathan is in a very serious tone. 2. Using specific examples, give one example of a metaphor, one example of a simile, and one example of an allusion that Edwards uses in this passage from the sermon to elicit this particular mood. Jonathan Edwards is a preacher trying to scare his congregation into salvation he compares them to insects dangling over the fires of hell and only god’s mercy keeps them from burning. The mood is angry and urgent. A metaphor would be the fire of wrath. A simile would be comparing people on the summer threshing floor. An allusion would be hell. A word that makes the tone clear would be â€Å"consider the fearful danger you are in. Lastly an image would be a spider hanging over furnace by a string held by a big hand that could drop it any time. 3. What specific words (minimum of three) does he choose to make his tone clear? He uses lots of words to make his tone clear. He uses a very powerful tone of voice. He uses words like danger, wrath, damned in hell, etc. These words make the passage a lot more eye catching in my opinion. 4. What images (pictures in the listeners’ mind) does Edwards use in the passage to make his tone clear? What effect do those images have on establishing the tone of the piece? He uses god ´s â€Å"rough wind’ to make his tone clear. His tone is also very serious while he’s talking about this. 5. In the last two paragraphs of the sermon (refer to the Investigate page of this lesson) Edwards’s talks about an â€Å"extraordinary opportunity† his congregation has. What is this opportunity? How does his sermon persuade the congregation to take advantage of this opportunity? The opportunity that Edward is talking about in the last two paragraphs is ‘’Salvation.’’ He’s telling the people that only way not to get to hell is through salvation or else they’ll end up in hell and that’s not a place they would want to be.

Management Functions and Roles Essay

This week I interviewed Mr. Bradford, the health care administrator of Willis Knight Health Center. Mr. Bradford has been in the health care field for 17 years. He has been the coordinator and director at the Willis Knight Health Center for 11 years. Human Resources and leadership are two most pressing functions according to Mr. Bradford for his organization. Human resources is the organizational function that deals with issues related to people such as compensation, hiring, performance management, organization development, safety, wellness, benefits, employee motivation, communication, administration, and training. humanresources. about. com). Human Resource is also a strategic and comprehensive approach to managing people and the workplace culture and environment. Effective human resource management enables employees to contribute effectively and productively to the overall company direction and the accomplishment of the organization’s goals and objectives. (humanresources. about. com) Leadership plays an important role as well. As a leader you should be able to create more leaders, you must be able to have the people following you stand up and get noticed so they in turn have other people following them while a chain of responsibility and cohesiveness forms so you create a well-oiled machine. Working with different individual on daily basics there is no way that you can satisfy each and every one. Creating a safe, healthy and happy workplace will ensure that your employees feel homely and stay with your organization for a very long time. Paying out bonuses or having any kind of variable compensation plan can be both incentive and disillusionment, based on how it’s administered and communicated. Adopt a systematic approach to ensure that knowledge in databases to provide greater access to information posted either by the company or the employees on the knowledge portals of the company. Have open house discussions and feedback mechanism as a leader you should be able to take constructive criticism. (empxtrack. com) There are five key challenges or areas, some strategic and some operational. Leadership, pay and reward, equality and diversity, talent management and service transformation and efficiency. Placing and shaping community leadership and delivering services to empowered and engaged citizens requires a new order of leadership skill and capacity from public sector leaders, both political and managerial. Pay and reward remains the immediate battleground for HR in the short term. National negotiating machinery is increasingly out of touch with the needs of local employers, politically directed by ministers and, as a consequence, is more focused on managing cost managing cost pressures and the broader economic position. Increasingly, the need to ensure organizational approaches to diversity has a true focus upon communities and community cohesion has meant that the role of HR in shaping, supporting and embedding good approaches to equality and diversity. Supply and demand: talent spotting and development and, most importantly, the ability to deploy talent effectively for the future means that HR needs to provide resourcing and development solutions that are faster, more flexible and technology enabled to reduce the bureaucracy and paper-based approaches that many still protect and love. Finally service transformation and efficiency the big challenge, in the future get involved with service transformation and modernisation. (personltoday. com) In conclusion to better services the people we serve is to continue to educate the staff, make winners out of your staff, always make individuals better as you become better and have a great relationship with your staff and patients. Additions to training life experiences can help alone the way, best lessons learned are the ones we learn on our own.

Facing Challenges in Works of Literature Essays

Facing Challenges in Works of Literature Essays Facing Challenges in Works of Literature Essay Facing Challenges in Works of Literature Essay Jon Krakauer’s, Into Thin Air, is a personal account of his 1996 ascent to Mt.Everest of the Himalayas that tragically led to the death of eight climbers and several others injured physically and mentally.With several his fellow climbers dead, Krakauer cannot fathom the inevitable situation on the mountain.His narrative begins with him trying to descend the summit while conquering altitude sickness, and later describes the history of Everest along with how he got the opportunity to climb it.Later, Krakauer details, his journey to the foot of Everest, from Kathmandu to meeting his fellow climbers and guide Rob Hall.The story then proceeds by base camps until they finally reach the summit and have to descend.A blizzard erupts and suddenly, there is very limited to no visibility and Krakauer makes it back to the the camps, while guides, and fellow climbers are still on the mountain with no mobility, company, nor strength, along with frostbites. This recount of events all combined produces quite a powerful narrative. Every influential story includes a challenge that seems impossible, which Krakauer suitably did in this book. He leads into the challenge of the descending Everest with being frost bitten and sick by conquering the challenge of ascending Everest.This book included a turn of events with one challenge being over, but another arising creating a factor curiosity and excitement in the reader as to what will happen to Krakauer, his respected guides and fellow climbers. Similarly, in The Curious Incident of the Dog in the Night-Time, author Mark Haddon inflicted his protagonist with the challenge of the neurological disorder, autism. Christopher’s disorder can be characterized by not being social, being superstitious, and curious. Since he has this disease, the reader is often questioning what Chris would do to solve a challenge in the book as opposed to a person without autism may be inferred.Both stories incl ude

Saturated Solution Definition and Examples

Saturated Solution Definition and Examples A saturated solution is a chemical  solution containing the maximum concentration of a solute  dissolved in the solvent.  Ã¢â‚¬â€¹The additional solute will not dissolve in a saturated solution. The amount of solute that can be dissolved in a solvent to form a saturated solution depends on a variety of factors. The most important factors are: Temperature:  Solubility increases with temperature. For example, you can dissolve much more salt in hot water than in cold water.Pressure:  Increasing pressure can force more solute into solution. This is commonly used to dissolve gases into liquids.Chemical Composition:  The nature of the solute and solvent and the presence of other chemicals in a solution affects solubility. For example, you can dissolve much more sugar in water than salt in water. Ethanol and water are completely soluble in each other. Examples of Saturated Solutions Jose Carlos Barbosa / EyeEm / Getty Images You encounter saturated solutions in daily life, not just in a chemistry lab. Also, the solvent does not need to be water. Here are some common examples: A soda is a saturated solution of carbon dioxide in water. This is why, when the pressure is released, carbon dioxide gas forms bubbles.Adding chocolate powder to milk so that it stops dissolving forms a saturated solution.Salt can be added to melted butter or oil to the point where the salt grains stop dissolving, forming a saturated solution.If you add enough sugar to your coffee or tea, you can form a saturated solution. Youll know youve reached the saturation point when the sugar stops dissolving. Hot tea or coffee allows much more sugar to be dissolved than you can add to a cold beverage.Sugar can be added to vinegar to form a saturated solution. Things That Will Not Form Saturated Solutions If one substance will not dissolve into another, you cannot form a saturated solution. For example, when you mix salt and pepper, neither dissolves in the other. All you get is a mixture. Mixing oil and water together will not form a saturated solution because one liquid does not dissolve in the other. How To Make a Saturated Solution Theres more than one way to make a saturated solution. You can prepare it from scratch, saturate an unsaturated solution, or force a supersaturated solution to lose some solute. Add solute to a liquid until no more dissolves.Evaporate solvent from a solution until it becomes saturated. Once the solution starts to crystallize or precipitate, the solution is saturated.Add a seed crystal to a supersaturated solution so extra solute will grow onto the crystal, leaving a saturated solution. What Is a Supersaturated Solution? The definition of a supersaturated solution is one which contains more dissolved solute than could ordinarily dissolve into the solvent. A minor disturbance of the solution or introduction of a seed or tiny crystal of solute will force crystallization of excess solute. One way supersaturation can occur is by carefully cooling a saturated solution. If there is no nucleation point for crystal formation, the excess solute may remain in solution.

For Rousseau, man is born free and everywhere he is in chains. Do you Essay

For Rousseau, man is born free and everywhere he is in chains. Do you agree with this assessment Discuss with reference to - Essay Example The first man who accustomed himself as an owner of a land had first brought the idea of tyranny and oppression in society. Prior to the idea, that society had succumbed to ownership; there have been less crime and hardship, and sorrow was out of sight. However, when man succeeded in the act of ownership with it began the invisible chain attached to every human being born. Furthermore, man emerged when he was first to think of himself, provide for his own needs, and was ignorant of his ability to own properties and be above with others. Nonetheless, the time came that he felt the difficulty to do things all by himself and do against the natural circumstances. The differing tides of the time, the changes of the environmental conditions, and other natural and unexpected circumstances had brought man to a point where he considered these as no longer natural. It became a significant source of hardship for him. In order to survive the hindrances, man needed to learn to be above other spec ies. He needed to eat; therefore, he hunted down other species, which had brought him to think that he is above them. This superiority brought man to boast and take pride of himself. As a result, the solitary man had evolved into seeing his likeness to other human beings. His ability to incorporate himself with others and his ability to be part of the lives of others came to being naturally, and at first, language was not needed in order to interact. Jean Jacques Rousseau added that, in line with man’s ability to interact and be above other species, he was able to evolve into a person who has learned the usage of tools. These primitive tools brought man to build huts. In these huts were families, considered as the smallest part of a society, which begun to hold property on where their huts stood. The families, which composed of a man and a woman, lived under one roof and were able to bear children. After the establishment of the first society, man became more convenient on hi s way of living. However, his needs accumulated and losing these needs and not sufficiently having these needs made him unhappy. Moreover, language emerged during the time when man experienced natural catastrophes. This had caused man to be able to communicate in order to combat and surpass these instances. Furthermore, in the emergence of language, man became more civilized and eventually formed nations. Along with this, the love within families heightened in the light of ideas and preferences of the nations. Negative ideologies also came about which also brought walls between the differences of the different group of people. People were grouped in accordance to the songs they were singing and to the steps they were dancing. A wall between people was established by identifying one as different from the others. This then caused inequality, and vices became real in the realm of societies. This had brought man to believe that, by nature, he is unjust, disrespectful and that politics m ust emerge to be able to maintain peace and order. However, this has been wrongly inferred because man, at its natural state is gentle. Moreover, the earliest society depicted happiness among its people; however, progress eventually brought inequality. Freedom was felt by every individual; however, the inevitable chains of slavery and captivity were brought to existence