Maxima And Minima Of The Function Engineering Essay Essay Example

Maxima And Minima Of The Function Engineering Essay Essay This term paper nowadayss concise accounts of the topic s general rules and uses worked illustrations freely to spread out the thoughts about work outing the jobs by suited methods. Each illustration shows the method of obtaining the solution and includes extra explanatory techniques. For some subjects, where it would hold been hard to understand a solution given on a individual job, the solution has been drawn in bit-by-bit signifier. All the figures used have been taken from Google Book hunt. The term paper covers the necessary definitions on MAXIMA AND MINIMA OF THE FUNCTIONS and some of its of import applications. It covers the subject such as types of other method for work outing the large job in a cutoff method known. The facets of how to develop some of the most normally seen jobs is besides covered in this term paper. The motivation of this term paper is do the reader familiar with the constructs of application of upper limit and lower limit of the map and We will write a custom essay sample on Maxima And Minima Of The Function Engineering Essay specifically for you for only $16.38 $13.9/page Order now We will write a custom essay sample on Maxima And Minima Of The Function Engineering Essay specifically for you FOR ONLY $16.38 $13.9/page Hire Writer We will write a custom essay sample on Maxima And Minima Of The Function Engineering Essay specifically for you FOR ONLY $16.38 $13.9/page Hire Writer where this is used. Focus has been more on taking the simpler job so ( 2 ) that the construct could be made clearer even to the novices to technology mathematics. MAXIMA AND MINIMA Definition In mathematics, a point x*is a local maximumof a map fif there exists some I µ gt ; 0such that degree Fahrenheit ( x* ) a†°? degree Fahrenheit ( ten ) for all xwith |x-x*| lt ; I µ . Stated less officially, a local upper limit is a point where the map takes on its largest value among all points in the immediate locality. On a graph of a map, its local upper limit will look like the tops of hills. A local minimumis a point x*for which degree Fahrenheit ( x* ) a†°Ã‚ ¤ degree Fahrenheit ( ten ) for all xwith |x-x*| lt ; I µ . On a graph of a map, its local lower limit will look like the undersides of vales. A planetary maximumis a point x*for which degree Fahrenheit ( x* ) a†°? degree Fahrenheit ( ten ) for all x. Similarly, a planetary minimumis a point x*for which degree Fahrenheit ( x* ) a†°Ã‚ ¤ degree Fahrenheit ( ten ) for all x. Any planetary upper limit ( minimal ) is besides a local upper limit ( minimal ) ; nevertheless, a local upper limit or minimal demand non besides be a planetary upper limit or lower limit. The constructs of upper limit and lower limits are non restricted to maps whose sphere is the existent Numberss. One can speak about planetary upper limit and planetary lower limit for real-valued maps whose sphere is any set. In order to be able to specify local upper limit and local lower limit, the map needs to take existent values, and the construct of vicinity must be defined on the sphere of the map. A vicinity so plays the function of the set of tens such that |x x*| lt ; I µ . One refers to a local maximum/minimum as to a local extreme point ( or local optimum ) , and to a planetary maximum/minimum as to a planetary extreme point ( or planetary optimum ) . LOCAL MAXIMA AND MINIMA Functions can hold hills and vales : topographic points where they reach a lower limit or maximal value. It may non be the lower limit or upper limit for the whole map, but locally it is. You can see where they are, but how do we specify them? Local Maximum First we need to take an interval: Then we can state that a local upper limit is the point where: The tallness of the map at a is greater than ( or be to ) the tallness anyplace else in that interval. Or, more briefly: degree Fahrenheit ( a ) a†°? degree Fahrenheit ( ten ) for all x in the interval In other words, there is no tallness greater than degree Fahrenheit ( a ) . Note: degree Fahrenheit ( a ) should be inside the interval, non at one terminal or the other. Local Minimum Similarly, a local lower limit is: degree Fahrenheit ( a ) a†°Ã‚ ¤ degree Fahrenheit ( ten ) for all x in the interval The plural of Maximum is Maxima The plural of Minimum is Minima Maxima and Minima are jointly called Extreme point Global ( or Absolute ) Maximum and Minimum The upper limit or lower limit over the full map is called an Absolute or Global upper limit or lower limit. There is merely one planetary upper limit ( and one planetary lower limit ) but there can be more than one local upper limit or lower limit. A Assumingthis map continues downwards to left and right: The Global Maximum is about 3.7 The Global Minimum is -Infinity A Maxima and Minima of Functions of Two Variables Locate comparative upper limit, lower limit and saddle points of maps of two variables. Several illustrations with elaborate solutions are presented. three-dimensional graphs of maps are shown to corroborate the being of these points. More on Optimization Problems with Functions of Two Variables in this web site. Theorem Let f be a map with two variables with uninterrupted 2nd order partial derivativesfxx, fyyand fxyat a critical point ( a, B ) . Let D = fxx ( a, B ) fyy ( a, B ) fxy2 ( a, B ) If D gt ; 0 and fxx ( a, B ) gt ; 0, so degree Fahrenheit has a comparative lower limit at ( a, B ) . If D gt ; 0 and fxx ( a, B ) lt ; 0, so degree Fahrenheit has a comparative upper limit at ( a, B ) . If D lt ; 0, so degree Fahrenheit has a saddle point at ( a, B ) . If D = 0, so no decision can be drawn. We now present several illustrations with elaborate solutions on how to turn up comparative lower limit, upper limit and saddle points of maps of two variables. When excessively many critical points are found, the usage of a tabular array is really convenient. Example 1: Determine the critical points and turn up any comparative lower limit, upper limit and saddle points of map degree Fahrenheits defined by degree Fahrenheit ( x, y ) = 22+ 2xy + 2y2- 6x . Solution to Example 1: Find the first partial derived functions fxand fy. fx ( x, y ) = 4x + 2y 6 fy ( x, y ) = 2x + 4y The critical points satisfy the equations fx ( x, y ) = 0 and fy ( x, y ) = 0 at the same time. Hence. 4x + 2y 6 = 0 2x + 4y = 0 The above system of equations has one solution at the point ( 2, -1 ) . We now need to happen the 2nd order partial derived functions fxx ( x, y ) , fyy ( x, y ) and fxy ( x, Y ) . fxx ( x, y ) = 4 fxx ( x, y ) = 4 fxy ( x, y ) = 2 We now need to happen D defined above. D = fxx ( 2, -1 ) fyy ( 2, -1 ) fxy2 ( 2, -1 ) = ( 4 ) ( 4 ) 22= 12 Since D is positive and fxx ( 2, -1 ) is besides positive, harmonizing to the above theorem map degree Fahrenheit has a local lower limit at ( 2, -1 ) . The three-dimensional graph of map degree Fahrenheit given above shows that f has a local lower limit at the point ( 2, -1, degree Fahrenheit ( 2, -1 ) ) = ( 2, -1, -6 ) . Example 2: Determine the critical points and turn up any comparative lower limit, upper limit and saddle points of map degree Fahrenheits defined by degree Fahrenheit ( x, y ) = 22- 4xy + y4+ 2 . Solution to Example 2: Find the first partial derived functions fxand fy. fx ( x, y ) = 4x 4y fy ( x, y ) = 4x + 4y3 Determine the critical points by work outing the equations fx ( x, y ) = 0 and fy ( x, y ) = 0 at the same time. Hence. 4x 4y = 0 4x + 4y3= 0 The first equation gives x = y. Substitute ten by Y in the equation 4x + 4y3= 0 to obtain. 4y + 4y3= 0 Factor and solve for Y. 4y ( -1 + y2 ) = 0 Y = 0, y = 1 and y = -1 We now use the equation x = Y to happen the critical points. ( 0, 0 ) , ( 1, 1 ) and ( -1, -1 ) We now determine the 2nd order partial derived functions. fxx ( x, y ) = 4 fyy ( x, y ) = 12y2 fxy ( x, y ) = -4 We now use a tabular array to analyze the marks of D and fxx ( a, B ) and utilize the above theorem to make up ones mind on whether a given critical point is a saddle point, comparative upper limit or lower limit. critical point ( a, B ) ( 0,0 ) ( 1,1 ) ( -1,1 ) fxx ( a, B ) 4 4 4 fyy ( a, B ) 0 12 12 fxy ( a, B ) -4 -4 -4 Calciferol -16 32 32 saddle point comparative lower limit comparative lower limit A three-dimensional graph of map degree Fahrenheit shows that degree Fahrenheit has two local lower limits at ( -1, -1,1 ) and ( 1,1,1 ) and one saddle point at ( 0,0,2 ) . Example 3: Determine the critical points and turn up any comparative lower limit, upper limit and saddle points of map degree Fahrenheits defined by degree Fahrenheit ( x, y ) = x4- y4+ 4xy . Solution to Example 3: First partial derived functions fxand fyare given by. fx ( x, y ) = 43+ 4y fy ( x, y ) = 4y3+ 4x We now solve the equations fy ( x, y ) = 0 and fx ( x, y ) = 0 to happen the critical points.. 43+ 4y = 0 4y3+ 4x = 0 The first equation gives y = x3. Combined with the 2nd equation, we obtain. 4 ( x3 ) 3+ 4x = 0 Which may be written as. ten ( x4- 1 ) ( x4+ 1 ) = 0 Which has the solutions. ten = 0, -1 and 1. We now use the equation Y = x3to find the critical points. ( 0, 0 ) , ( 1, 1 ) and ( -1, -1 ) We now determine the 2nd order partial derived functions. fxx ( x, y ) = -122 The First Derivative: Maxima and Minima See the map degree Fahrenheit ( x ) =3x4a?’4x3a?’122+3A on the interval [ a?’23 ] . We can non happen parts of which degree Fahrenheit is increasing or decreasing, comparative upper limit or lower limit, or the absolute upper limit or minimal value of degree Fahrenheit on [ a?’23 ] by review. Graphing by manus is boring and imprecise. Even the usage of a charting plan will merely give us an estimate for the locations and values of upper limit and lower limit. We can utilize the first derived function of degree Fahrenheit, nevertheless, to happen all these things rapidly and easy. Increasing or Decreasing? Let f be uninterrupted on an interval I and differentiable on the inside of I. If f ( x ) 0 for all xI, so degree Fahrenheit is increasing on I. If f ( x ) 0 for all xI, so degree Fahrenheit is diminishing on I. Example The map degree Fahrenheit ( x ) =3x4a?’4x3a?’122+3 has foremost derivative degree Fahrenheit ( x ) A =A =A =A 12x3a?’12x2a?’24xA 12x ( x2a?’xa?’2 ) A 12x ( x+1 ) ( xa?’2 ) A A Thus, degree Fahrenheit ( ten ) is increasing on ( a?’10 ) ( 2 ) and diminishing on ( a?’a?’1 ) ( 02 ) . Relative Maxima and Minima Relative extreme point of f occur at critical points of degree Fahrenheit, values x0 for which either degree Fahrenheit ( x0 ) =0 or degree Fahrenheit ( x0 ) is vague. First Derivative Trial Suppose degree Fahrenheit is uninterrupted at a critical point x0. If f ( x ) 0 on an unfastened interval widening left from x0 and degree Fahrenheit ( x ) 0 on an unfastened interval widening right from x0, so degree Fahrenheit has a comparative upper limit at x0. If f ( x ) 0 on an unfastened interval widening left from x0 and degree Fahrenheit ( x ) 0 on an unfastened interval widening right from x0, so degree Fahrenheit has a comparative lower limit at x0. If f ( ten ) has the same mark on both an unfastened interval widening left from x0 and an unfastened interval widening right from x0, so degree Fahrenheit does non hold a comparative extreme point at x0. In drumhead, comparative extreme point occur where degree Fahrenheit ( x ) changes mark. Example Our map degree Fahrenheit ( x ) =3x4a?’4x3a?’122+3 is differentiable everyplace on [ a?’23 ] , with degree Fahrenheit ( x ) =0 for x=a?’102. These are the three critical points of degree Fahrenheit on [ a?’23 ] . By the First Derivative Test, degree Fahrenheit has a comparative upper limit at x=0 and comparative lower limit at x=a?’1 and x=2. Absolute Maxima and Minima If f has an utmost value on an unfastened interval, so the utmost value occurs at a critical point of degree Fahrenheit. If f has an utmost value on a closed interval, so the utmost value occurs either at a critical point or at an end point. Harmonizing to the Extreme Value Theorem, if a map is uninterrupted on a closed interval, so it achieves both an absolute upper limit and an absolute lower limit on the interval. Example Since degree Fahrenheit ( x ) =3x4a?’4x3a?’122+3 is uninterrupted on [ a?’23 ] , degree Fahrenheit must hold an absolute upper limit and an absolute lower limit on [ a?’23 ] . We merely necessitate to look into the value of degree Fahrenheit at the critical points x=a?’102 and at the end points x=a?’2 and x=3: degree Fahrenheit ( a?’2 ) A degree Fahrenheit ( a?’1 ) A degree Fahrenheit ( 0 ) A degree Fahrenheit ( 2 ) A degree Fahrenheit ( 3 ) A =A =A =A =A =A 35A a?’2A 3A a?’29A 30A A Thus, on [ a?’23 ] , degree Fahrenheit ( x ) achieves a maximal value of 35 at x=a?’2 and a minimal value of -29 at x=2. We have discovered a batch about the form of degree Fahrenheit ( x ) =3x4a?’4x3a?’122+3 without of all time charting it! Now take a expression at the graph and verify each of our decisions. Application The footings upper limit and lower limit refer to extreme values of a map, that is, the upper limit and lower limit values that the map attains. Maximal means upper edge or largest possible measure. The absolute upper limit of a map is the largest figure contained in the scope of the map. That is, if f ( a ) is greater than or equal to f ( ten ) , for all x in the sphere of the map, so degree Fahrenheit ( a ) is the absolute upper limit. For illustration, the map degree Fahrenheit ( x ) = -162 + 32x + 6 has a maximal value of 22 happening at x = 1. Every value of x produces a value of the map that is less than or equal to 22, hence, 22 is an absolute upper limit. In footings of its graph, the absolute upper limit of a map is the value of the map that corresponds to the highest point on the graph. Conversely, lower limit agencies lower edge or least possible measure. The absolute lower limit of a map is the smallest figure in its scope and corresponds to the value of the map at the lo west point of its graph. If f ( a ) is less than or equal to f ( ten ) , for all x in the sphere of the map, so degree Fahrenheit ( a ) is an absolute lower limit. As an illustration, degree Fahrenheit ( x ) = 322 32x 6 has an absolute lower limit of -22, because every value of x produces a value greater than or equal to -22. In some instances, a map will hold no absolute upper limit or lower limit. For case the map degree Fahrenheit ( x ) = 1/x has no absolute upper limit value, nor does degree Fahrenheits ( ten ) = -1/x have an absolute lower limit. In still other instances, maps may hold comparative ( or local ) upper limit and lower limit. Relative means comparative to local or nearby values of the map. The footings relative upper limit and comparative lower limit refer to the largest, or least, value that a map takes on over some little part or interval of its sphere. Therefore, if f ( B ) is greater than or equal to f ( b A ± H ) for little values of H, so degree Fahrenheit ( B ) is a local upper limit ; if degree Fahrenheit ( B ) is less than or equal to f ( b A ± H ) , so degree Fahrenheit ( B ) is a comparative lower limit. For illustration, the map degree Fahrenheit ( x ) = x4 -123 582 + 180x + 225 has two comparative lower limit ( points A and C ) , one of which is besides the absolute low er limit ( indicate C ) of the map. It besides has a comparative upper limit ( point B ) , but no absolute upper limit. Finding the upper limit and lower limit, both absolute and comparative, of assorted maps represents an of import category of jobs solvable by usage of differential concretion. The theory behind happening maximal and minimal values of a map is based on the fact that the derived function of a map is equal to the incline of the tangent. When the values of a map addition as the value of the independent variable additions, the lines that are tangent to the graph of the map have positive incline, and the map is said to be increasing. Conversely, when the values of the map lessening with increasing values of the independent variable, the tangent lines have negative incline, and the map is said to be diminishing. Precisely at the point where the map alterations from increasing to diminishing or from diminishing to increasing, the tangent line is horizontal ( has slope 0 ) , and the derivative is zero. ( With mention to calculate 1, the map is diminishing to the left of point A, every bit goo d as between points B and C, and increasing between points A and B and to the right of point C ) . In order to happen maximal and minimal points, foremost happen the values of the independent variable for which the derived function of the map is zero, so replace them in the original map to obtain the corresponding upper limit or minimal values of the map. Second, inspect the behaviour of the derivative to the left and right of each point. If the derivative Figure 1. Illustration by Hans A ; Cassidy. Courtesy of Gale Group. is negative on the left and positive on the right, the point is a lower limit. If the derived function is positive on the left and negative on the right, the point is a maximal. Equivalently, find the 2nd derived function at each value of the independent variable that corresponds to a upper limit or lower limit ; if the 2nd derived function is positive, the point is a lower limit, if the 2nd derived function is negative the point is a maximal. A broad assortment of jobs can be solved by happening maximal or minimal values of maps. For illustration, say it is desired to maximise the country of a rectangle inscribed in a hemicycle. The country of the rectangle is given by A = 2xy. The hemicycle is given by x2 + y2 = r2, for Y a†°? 0, where R is the radius. To simplify the mathematics, note that A and A2 are both maximal for the same values of ten and Y, which occurs when the corner of the rectangle intersects the hemicycle, that is, when y2 = r2 x2. Therefore, we must happen a maximal value of the map A2 = 42 ( r2 -x2 ) = 4r2x2 44. The needed status is that the derivative be equal to zero, that is, vitamin D ( A2 ) /dx = 8r2x 163 = 0. This occurs when x = 0 or when ten = 1a?„2 ( R a?s +2 ) . Clearly the country is a maximal when x = 1a?„2 ( R a?s +2 ) . Substitution of this value into the equation of the hemicycle gives y = 1a?„2 ( R a?s +2 ) , that is, y = ten. Therefore, the maximal country of a r ectangle inscribed in a hemicycle is A = 2xy = r2. There are legion practical applications in which it is desired to happen the upper limit or minimal value of a peculiar measure. Such applications exist in economic sciences, concern, and technology. Many can be solved utilizing the methods of differential concretion described above. For illustration, in any fabrication concern it is normally possible to show net income as a map of the figure of units sold. Finding a upper limit for this map represents a straightforward manner of maximising net incomes. In other instances, the form of a container may be determined by minimising the sum of stuff required to fabricate it. The design of shrieking systems is frequently based on minimising force per unit area bead which in bend minimizes required pump sizes and reduces cost. The forms of steel beams are based on maximising strength. Finding upper limit or lower limit besides has of import applications in additive algebra and game theory. For illustration, additive programming consists of maximising ( or minimising ) a peculiar measure while necessitating that certain restraints be imposed on other measures. The measure to be maximized ( or minimized ) , every bit good as each of the restraints, is represented by an equation or inequality. The ensuing system of equations or inequalities, normally additive, frequently contains 100s or 1000s of variables. The thought is to happen the maximal value of a peculiar variable that represents a solution to the whole system. A practical illustration might be minimising the cost of bring forthing an car given certain known restraints on the cost of each portion, and the clip spent by each labourer, all of which may be mutualist. Regardless of the application, though, the cardinal measure in any upper limit or lower limit job is showing the job in mathematical footings. FINDING THE MAXIMA AND MINIMA OF THE FUNCTION WITH CONSTRAINED CONDITIOIN Lagrange s Method of Multipiers. Let F ( x, Y, omega ) and I ¦ ( x, Y, omega ) be maps defined over some part R of infinite. Find the points at which the map F ( x, Y, omega ) has maximums and lower limits subject to the side status I ¦ ( x, Y, omega ) = 0. Lagrange s method for work outing this job consists of organizing a 3rd map G ( x, Y, omega ) given by 17 ) A A A A A A G ( x, Y, omega ) = F ( x, Y, omega ) + I »I ¦ ( x, Y, omega ) , where I » is a changeless ( i.e. a parametric quantity ) to which we will subsequently delegate a value, and so happening the upper limit and lower limit of the map G ( x, Y, omega ) . A reader might rapidly inquire, Of what involvement are the upper limit and lower limit of the map G ( x, Y, omega ) ? How does this assist us work out the job of happening the upper limit and lower limit of F ( x, Y, omega ) ? The reply is that scrutiny of 17 ) shows that for those points matching to the solution set of I ¦ ( x, Y, omega ) = 0 the map G ( x, Y, omega ) is equal to the map F ( x, Y, omega ) since at those points equation 17 ) becomes A A A A A A A A A A A A G ( x, Y, omega ) = F ( x, Y, omega ) + I »I†¡0. Therefore, for the points on the surface I ¦ ( x, Y, omega ) = 0, maps F and G are equal so the upper limit and lower limit of G are besides the upper limit and lower limit of F. The process for happening the upper limit and lower limit of G ( x, Y, omega ) is as follows: We regard G ( x, Y, omega ) as a map of three independent variables and compose down the necessary conditions for a stationary point utilizing 1 ) above: 18 ) A A A A A A F1 + I »I ¦1 = 0A A A A A A A A A A A A A A A A F2 + I »I ¦2 = 0A A A A A A A A A A A A A A A A F3 + I »I ¦3 = 0 We so work out these three equations along with the equation of restraint I ¦ ( x, Y, omega ) = 0 to happen the values of the four measures x, Y, omega, I » . More than one point can be found in this manner and this will give us the locations of the stationary points. The upper limit and lower limit will be among the stationary points therefore found. Let us now observe something. If equations 18 ) are to keep at the same time, so it follows from the tierce of them that I » must hold the value A A A A A A A A A A A A If we substitute this value of I » into the first two equations of 18 ) we obtain A A A A A A A A A A A A F1I ¦3 F3I ¦1 = 0A A A A A A A A A A A A A A A A A A A A A A F2I ¦3 F3I ¦2 = 0A or A We note that the two equations of 19 ) are identically the same conditions as 8 ) above for the old method. Therefore utilizing equations 19 ) along with the equation of restraint I ¦ ( x, Y, omega ) = 0 is precisely the same process as the old method in which we used equations 8 ) and the same restraint. One of the great advantages of Lagrange s method over the method of inexplicit maps or the method of direct riddance is that it enables us to avoid doing a pick of independent variables. This is sometimes really of import ; it permits the keeping of symmetricalness in a job where the variables enter symmetrically at the beginning. Lagrange s method can be used with maps of any figure of variables and any figure of restraints ( smaller than the figure of variables ) . In general, given a map F ( x1, x2, , xn ) of n variables and h side conditions I ¦1 = 0, I ¦2 = 0, . , I ¦h = 0, for which this map may hold a upper limit or lower limit, equate to zero the partial derived functions of the subsidiary map F + I »1I ¦1 + I »2I ¦2 + + I »hI ¦h with regard to x1, x2, , xn, sing I »1, I »2, .. , I »h as invariables, and work out these n equations at the same time with the given h side conditions, handling the I » s as terra incognitas to be eliminated. The parametric quantity I » in Lagrange s method is called Lagrange s multiplier.

Free Essays on Hospitality In Odyssey

Hospitality in the Odyssey Hospitality has played a large role in ancient Mycenaen society and is even evident in the writings of the time, as witnessed in Homer’s Odyssey. Hospitality reveals itself as a domineering factor in the way characters act and the way characters are treated in the Odyssey. One instance of the role of hospitality in the Odyssey occurs early on in the epic when Telemachus secretly set off to find Nestor. Upon first sight of Telemachus and Athene and without any inquiries about who they were, Nestor’s son Peisistratus invited them to the banquet that was in progress. It was not until after Telemachus and Athene had had their fill of food and gotten comfortable that they were asked who they were and where they came from. It seems to have been a common gesture of courtesy in ancient Greek culture to offer guests food and entertainment before attending to business. A second instance of hospitality at work in the Odyssey came in book six when Nausicaa found Odysseus on the shores of Scherie. Even though Odysseus must have appeared intimidating, or even monstrous, Nausicaa felt obligated to help. As was the case when Telemachus visited Nestor, food and drink was readily given to Odysseus shortly after his arrival at the palace. Even though Odysseus was a total stranger, he was still promised food, shelter, and a ride back to his homeland. These gestures of hospitality in the Odyssey were used as an instrument to tell the reader who were the protagonists and who were the antagonists. All of the good characters immediately took Odysseus or his son Telemachus into their homes and fed them. None of the antagonists in the story ever exhibited any form of hospitality towards Odysseus or Telemachus. In the Odyssey, the good offered hospitality, and the bad fed off of the hospitality of others. Hospitality seemed to play a major role in ancient Greek societies. Social status appears to have been determine... Free Essays on Hospitality In Odyssey Free Essays on Hospitality In Odyssey Hospitality in the Odyssey Hospitality has played a large role in ancient Mycenaen society and is even evident in the writings of the time, as witnessed in Homer’s Odyssey. Hospitality reveals itself as a domineering factor in the way characters act and the way characters are treated in the Odyssey. One instance of the role of hospitality in the Odyssey occurs early on in the epic when Telemachus secretly set off to find Nestor. Upon first sight of Telemachus and Athene and without any inquiries about who they were, Nestor’s son Peisistratus invited them to the banquet that was in progress. It was not until after Telemachus and Athene had had their fill of food and gotten comfortable that they were asked who they were and where they came from. It seems to have been a common gesture of courtesy in ancient Greek culture to offer guests food and entertainment before attending to business. A second instance of hospitality at work in the Odyssey came in book six when Nausicaa found Odysseus on the shores of Scherie. Even though Odysseus must have appeared intimidating, or even monstrous, Nausicaa felt obligated to help. As was the case when Telemachus visited Nestor, food and drink was readily given to Odysseus shortly after his arrival at the palace. Even though Odysseus was a total stranger, he was still promised food, shelter, and a ride back to his homeland. These gestures of hospitality in the Odyssey were used as an instrument to tell the reader who were the protagonists and who were the antagonists. All of the good characters immediately took Odysseus or his son Telemachus into their homes and fed them. None of the antagonists in the story ever exhibited any form of hospitality towards Odysseus or Telemachus. In the Odyssey, the good offered hospitality, and the bad fed off of the hospitality of others. Hospitality seemed to play a major role in ancient Greek societies. Social status appears to have been determine...

Research Methodology Paper Example | Topics and Well Written Essays - 2500 words - 1

Methodology - Research Paper Example Introduction Violence in the schools is recognized to be one of the major issues in terms of social malpractice. Violence in the schools not only affects students in the processes of their learning and well-being but also has a long-term impact on their later life as well as achievements. Violence in the schools unfavorably affects the behavior of the victim students. There are various ways through which violence can be committed in schools. The most commonly identified school violence acts include bullying, gang violence, assault and slapping among others (Centers for Disease Control and Prevention, 2012). The violent acts in schools may lead to homicide incidents and injuries which undesirably tend to influence the psychological as well as physical health of victim students. In this regard, certain procedures or methods should be adopted with the intention of mitigating the issue of violence in the schools. There are various research methodologies or approaches which can be used to recognize violent acts executed in schools and determine procedures on the basis of which these uncalled-for acts can be mitigated or prevented. The research methodologies or approaches which can be adopted in this proposed research study will assist in identifying violence in the schools and devising appropriate measures to eliminate or lessen these issues. There are various types of research approaches which include qualitative research method, quantitative research method, inductive approach and deductive approach. Moreover, these research approaches aid in drawing findings on the basis of the analysis of collected data. Data can be collected through two procedures which entail primary as well as secondary data collection methods (University of Bradford, 2012). Prevailing Preventive Measures in Place A number of school authorities have formulated various forms of prevention plans and procedures with the intention of averting or minimizing school violence. The various prevention plans which are formulated and implemented by schools are as follows: Developing Safe and Responsive School Climate Many authorities of schools have initiated and followed certain specific plans with the intention of offering better school climate for students. These schools have adopted classroom management and conflict resolution programs in order to mitigate violence. These programs have facilitated schools in providing better education and learning environment for students (Skiba, Boone, Fantanini, Wu, Strussell & Peterson, 1999). Early Identification and Early Intervention for Students At-Risk for Violence Administrators of schools and teachers should identify any possibilities related to violence at an early stage so that these issues can be mitigated promptly without any delay before the actual occurrence of violence. Upon the identification of any kind of alienated behaviors amid students, they should be offered with adequate mentoring as well as counseling supports in order to minimize or decrease their aggressive behavior. In this respect, the students are likely to develop a self-esteem and social manner (Skiba, Boone, Fantanini, Wu, Strussell & Peterson, 1999). Effective Responses to School Disruption or Crisis At the same time, many school authoritie

Wash Avenue Incorporated Case Study Example | Topics and Well Written Essays - 2500 words

Wash Avenue Incorporated - Case Study Example Having worked in a car wash to support his college education, he has acquired the necessary skills and has always been inspired to put up his own company. To differentiate itself from other players, Wash Avenue will be located in the mall's garage and provide services while the customers shop. The company will officially be opening its first shop in Copley Place but plans to expand into other areas as soon as it gains popularity in the market. By locating in the malls, Wash Avenue hopes to develop a core competence in (1) extending quality car wash service and (2) utilizing the best available technologies in the market. In order to translate this into sustainable advantage, Wash Avenue will outline a unique process of giving "car make-overs" and ensure consistency. The company will also partner with the car wash technology expert Seven CarWash Romania Inc (2008) which will design and update its equipment. The US car wash industry is comprised of 14,000 full-service car washes accounting for US$5 billion in annual revenue (International Car Wash Association 2008). This huge market is still highly unsaturated and business organizations are still looking for ways where they can improve their service offerings. In this situational analysis, the PEST model will be used in order to fully understand all the opportunities, challenges, and issues which confront the industry players (Thomson 2002). This strategic management technique will enable Wash Avenue to identify the opportunities and threats in its external environment and respond to this by crafting appropriate marketing strategies. Political. The nature of car wash business makes it as a subject of legislations which varies from state to state. However, the theme of these regulations is often about the preservation of water and environment (International Car Wash Association 2008) . All car wash operators are required to manage and to use only a minimal amount of water during the process. Currently, as customers are also becoming more and more aware of social corporate responsibility, car wash operators are also pressured of rethinking their solid waste management practices in order to ensure sustainable development. Economic. The United States have entered a turning point in its economic history. From long been globally respected because of its economic hegemony, the nation is now threatened by economic slowdown (US Economic Crisis 2008). This situation is

PMP Essay Example | Topics and Well Written Essays - 2000 words

PMP - Essay Example In this marketing plan, I have reflected on my qualifications in the hospitality industry that would advance the industry. I have also discussed my major strengths, weaknesses, opportunities and threats relating to this field. I have mentioned all the relevant skills and knowledge that I have acquired to ensure optimal success in the industry. If well read, it is work worthy to be acknowledged and appreciated as it clearly reflects all my skills, qualifications and knowledge relevant in the financial sector. I believe that with my expertise and experience, I can be an asset to the tourism industry. Introduction This marketing plan shows all my skills and qualifications relevant in the tourism industry. Tourism is an extremely crucial area in today’s world because of the increasing demand in the industry with many people trading world wide. As a matter of fact, the sector of the tourism in the world is one of most diversified, and this is evidenced by high level of advancement in the various sectors such as hotel, game parks and game reserves, museums, historical sites and archives among others. With this kind of developing world, it then means that people should be always fore sighted, and every time, be innovative so as to come up with more advanced tourist industries. I chose this sector because I have the knowledge and expertise with regard to it and fully familiar with it (Pink 18). In addition, I am passionate and have a lot of interest in the hospitality industry. By having hospitality knowledge, I can work anywhere in the world and advance the industry with my skills and talent. Also the hospitality industry offers flexible working hours and a good pay while still having fun. Business is a major concern today due to the increased trading activities all over the world. Such activities have led to the development of the hospitality which is universal making the largest job provider in the world. In the developed countries like U.S.A, it has created a large number of jobs compared to the developing countries. The quality of living has improved because of the hospitality industry. Also people have started recognizing the essence of the hospitality industry unlike in previous years. Creativity and innovation have really transformed the industry. Also, strong marketing campaigns such as promotions, advertising and public relations have led to the advancement of the hospitality industry. There is the issue of work permit that one should have in order to be legible to work in the tourism industry. Such legibility is an investment and requires capital. Therefore, failure to have it may disqualify you to work in the industry. This is the best chance, for me to venture in tourism filed because I made an application for donation by an international NGO and it promised to fund me after I take my proposal. I can then not pretend and waste this opportunity. I also want to venture now because I had been given out a proposal plan concerning the tourism industry in many processing companies when I orally informed them about my plan. Other companies have also requested me to propose the techniques applied in acquiring the tourism industry and this means a good cash and good experience, as well. Personal mission statement My core values are Integrity, Honesty, Dedication, creativity and Innovation, Efficiency and Effectiveness. My vision is to get the best from the

Application of Communication Theories | Reflection

Application of Communication Theories | Reflection Applying Communication Theories to the Career of a Graduate Student Alayna Naro Organizational Culture Theory Members of an organization create their own culture within that organization. The culture can come from ways members communicate with each other, rituals of the organization, and shared symbols within the organization. Each organization has a culture that is distinctly theirs and differs from the cultures of other organizations. Furthermore, organizational culture is not created overnight. An organization’s culture is something that forms over a period of time and is specific to the way of â€Å"living† within an organization. Since the fall of 2010, I have been a student of Mississippi State University. I began my academic career as an undergraduate student. The organizational culture I was a part of at that point in my life is a lot different than the organizational culture I am a part of now. As an undergraduate, I was familiar with a majority of my professors, but I did not necessarily extensively communicate with them. Now, as a graduate student, the organizational culture that I am most familiar is within the School of Human Sciences, where I am a graduate assistant as well as a full time student. The make-up of the organization is important when discussing its organizational culture. In the School of Human Sciences, the organizational make-up consists of a director, faculty members, staff members, and graduate assistants. All of these members, though they have different roles, are who establish the values and morals for the organization. By being active participants within the organization, the members help to create meaningful symbols within the organization. Symbols include verbal and nonverbal communication that is unique to a specific organization. The first type of symbol that can be seen within an organizational culture are physical symbols. Physical symbols consists of designs, logos, dà ©cor, and material objects. Within the School of Human Sciences, we have certain symbols that express the culture house in our organization. The School of Human Sciences has a specific logo that we place on key chains, shirts, pens, and other items to market our department. Even our building, Lloyd Ricks-Watson, is a physical symbol that houses us all under one roof. The second type of symbol that can be seen within an organizational culture are behavioral symbols. Behavioral symbols are things such as ceremonies, rituals, or traditions that are specific to that organization. In the School of Human Sciences we have plenty of behavioral symbols that we continuously participate in. Every fall semester, there is a welcome back tailgate for students, faculty, and staff. In the spring, there is a chili supper welcoming students back for a new semester. And one Friday, every month, we have a faculty meeting where we discuss upcoming news within the School of Human Sciences. These reoccurring behaviors help to establish and identify the culture within the organization. Finally, the third type of symbol is verbal symbols. Verbal symbols include jokes, jargon, or stories that revolve around the organization. Within any type of organization, jokes and stories are going to be expressed through verbal communication. Furthermore, faculty calling each other by their first names when students are not around can be seen as a verbal symbol. As a graduate student, I catch my instructors calling other faculty members by their first names and then correcting themselves when they realize they are speaking to a student. By listening to stories, joke, or understanding the jargon, one can better understand the culture of the organization. Everyone within an organization is connected. A variety of members make up an organization, and each member contributes something unique to the culture of the organization. We find connections to the organization through shared ideas, rituals, and symbols. Through physical, behavioral, and verbal symbols, one can feel connection with the organization they are a part of. One way this particular theory does not coincide with my career, is that not everyone participates or actively uses all of the things that make up an organizational culture. In any organization or work environment, there are going to be those employees who choose not to participate. Even when they are required to immerse themselves within the organizational culture, resistance can still be seen. However, overall the theory was very applicable to my situation, and will be applicable to any organizational situation I encounter in the future. Structuration Theory Groups and organizations engage in certain behaviors in order to achieve their goals. Within an organization, structure is a necessity. Structure can include the rules and resources used to sustain the organization. Through structuration, organizations transform socially because of the rules and resources that dictate relationships. Rules and resources guide behaviors and decisions within an organization. Rules consists of guidelines for how a goal can be accomplished. Resources refer to the power that all individuals within the organization bring to the group. Therefore, structuration allows for members of an organization to better understand the social structure of their organization. Power structures are evident in any organizational setting and aid in guiding the decision making process. Power enables members of an organization to achieve goals. Every member within an organization has some form of power; superiors, subordinates, etc. Power allows for members of an organization to get what they want within the system. For an individual, power is an authoritative resource that helps the organization to function properly. In regards to this theory, there are five different types of power that an individual can exemplify; reward, coercive, referent, legitimate, and expert. Reward power refers the perception that another person within the organization has the ability to provide positive reinforcement. With reward power, the rewards can consist of praise or material rewards. As a student, I deal with reward power on a pretty frequent basis. My instructors are able to reward me for exceptional work by providing words of praise or encouragement. Additionally, as a student, there are ample opportunities for honors, awards and distinguishments. So at the same time, the university itself holds reward power too. Not to mention the greatest material reward a student can receive, a college degree. Because I know that my professors hold a majority of the reward power, I try my hardest to produce exceptional work. By producing that exceptional and receiving verbal rewards from professors, it provides a sense of incentive to seek out higher rewards, such as the material rewards previously mentioned. Coercive power refers to the perception that someone within the organization has the ability to provide punishment. Coercive power makes others feel as though they must comply with the requests of their superiors in order to avoid negative consequences. As a student, the same people who provide me with reward power can also provide me with coercive power, my professors. However, I do not do my work solely to avoid ridicule or punishment, I complete my work in order to maintain my credibility. If I were to not give all of my effort on assignments, did not respect my professors, and did not produce quality work, my credibility with my professors would decrease. Referent power refers to establishing a relationship between a superior in an organization and a member who has less power than them. A person who holds referent power is typically a friendly, well liked, well respected individual who may even serve as a role model for others within the organization. Again, I believe my professors have often exposed me to referent power. Sometimes it is very easy for me to form a meaningful relationship not only with my advisor, but also instructors within the department that I respect. I respect them so much mostly due to their personality and the way they choose to interact with me as a student. Though I know my professors are above me academically and within the work environment, they still treat me as an individual and pursue general interest in my goals and aspirations. Legitimate power refers to exerting power due to a particular position or title. In the academic community, there are many individuals who exert influence on others based on their titles. For example, I comply with the wishes of my major professor. Her position as my advisor allows her to influence and help structure the direction of my goals by providing her input and expertise when needed. Furthermore, my major professor has someone who exerts legitimate power on her as well. The director of our department within the School of Human Sciences holds legitimate power over all instructors within the department. By holding the power as being the director of the department, he has the right and the ability to exert influence over the department as a whole. Expert power refers to a person having a specific set of knowledge or expertise. Those with expert power are very valuable for any type of group or organization. Expert power allows those individuals to assist in decisions making processes and as a source knowledge when consulted. Yet again, my professors hold a sincere amount of expert power. All of my professors have completed a bachelor’s degree, a master’s degree, and most have completed their PhD. Therefore, my professors are experts in their fields. It is such a benefit for an organization, more specifically outside of academia, to have employees that exhibit expert power. As a graduate assistant, I even experience possessing all five of these powers at some point. As an instructor in classes, I use reward and coercive power by being the person who is in charge of my students’ grades. Hopefully, through the reward and coercive power used, my students respect me and my assignments, knowing that I hold the power within the classroom. Additionally, I hope I possess some form of referent power with my students and my colleagues. I hope to establish a working relationship with those that I work with and encounter an on everyday basis. I possess legitimate power because of my title as a graduate assistant. That title provides me with the opportunities to serve as an instructor for certain classes, conduct research for myself and for others, and deciphers me from undergraduate students. Finally, I exert expert power because of my degree titles. I have already completed a bachelor’s degree in which gives me an extensive amount of knowledge in the field of agriculture. Currently, I am pursuing a master’s degree which will further enhance my expertise within the field. Social Penetration Theory Social penetration refers to a process of relationship bonding where individuals move from superficial communication to more intimate communication. Social penetration relates to more than just physical intimacy, it also incorporates intellectual and emotional intimacy. Social penetration suggests that relationships progress in a systematic way, are predictable, and dependent on our verbal, nonverbal, and environmentally oriented behaviors. All relationships form and follow a particular trajectory in which there are four stages. The four stages of the social penetration process include orientation, exploratory affective exchange, affective exchange, and stable exchange. The orientation stage begins by revealing small, ordinary facts about ourselves to others. This past January I moved from an office across campus where I was by myself, into an office which I would share with two other students. For my situation as a graduate assistant sharing an office with two other graduate assistants, the orientation stage was very important. At this stage, we divulged enough information for others to begin to find common ground with us, but not enough to be able to judge us. Though the information we tend to express in this stage is simple, and sometimes superficial, it is a necessity for any type of relationship to form. The exploratory affective exchange stage occurs when we begin to share aspects of our individual personality with others. Self-disclosure becomes a crucial part of this stage because it helps to transform superficial relationships into more intimate ones by revealing information about yourself. After a few weeks in the new office situation, I began to realize that I was learning more and more about my office mates. Without even realizing it, we would end up in short conversations about things unrelated to classes or work, which helped to better grasp each other’s personalities. The affective exchange stage is where the closeness of the friendship begins to blossom. At this stage, nonverbal communication can sometimes substitute for verbal communication. For instance, I can come into the office not say anything, but smile, and my office mates can substitute that as a â€Å"good morning†. Also, during this stage we begin to form our own jargon and inside jokes. For example, after about three months of sharing an office, we had inside jokes, we shared funny videos and pictures, and we also listened to music together. We share information about our families, significant others, and ask for advice on any problems we may be having. Through this stage we were not only able to form a more intimate friendship with one another, we were also able to create an office environment that was comfortable for everyone. The final stage is the stable exchange stage. At this stage, the relationship is more spontaneous than before. Communication and behavior are a lot more predictable, and those involved know a lot more about each other and how they react. After reaching this stage, I can say my office mates are more than just people I share a room with Monday through Friday, they are my friends. We know when to talk, when to not talk. We can tell when someone might need a pick me up. And we are not afraid to be ourselves. By working through the stages of the social penetration process, we were able to divulge information about ourselves at a progressive speed and form relationships with one another. The only way to understand other people is to engage in personal conversations with them and by sharing personal bits of information about yourself. Each personality will influence the direction a relationship will take. Though initial conversations may seem unimportant, they allow individuals to understand each other and provide early relational development. Through the social penetration process individuals achieve a way to balance their needs while also forming a relationship with another person. Overall, this theory was very applicable to my current situation. I have seen first-hand how relationships develop, and I agree that they are a linear process. I also agree that there a certain steps, or stages, one must go through when developing a relationship with another person. There is give and take with all individuals associated with a relationship, and relationships take time to develop. I will forever keep this theory in the back of my mind as I embark on my professional career where creating, developing, and maintaining relationships is so important. Groupthink Groups are sets of individuals whose goal is to work toward completing a task or solving a problem. Groups need a solid foundation and need to be able to remain unaffected by all other influences. In order for the members of a group to work together effectively, the group needs a certain level of cohesiveness, or culture, within the group. Group cohesion encourages greater satisfaction within the group, the group members are more enthusiastic, and the group experience is overall positive. As a student, I am required to work in groups on a pretty regular basis. For example, I am an ambassador for the Graduate Student Association on campus. As an ambassador I am required to attend planning meetings, assist when we host events, and serve as a liaison between the GSA and certain departments on campus. As a task oriented group, every group member has a specific job assigned to them, and when everyone does their job, our overall goal is more easily accomplished. Groupthink is a way of group negotiation that reduces conflict and emphasizes the need for unison. When working within a group, sometimes it is easy to have tunnel vision on the end result. We can succumb to pressures of needing to keep the group harmonious and not really address the problem that we need to solve. The need to form a homogeneous group often distracts away from the true purpose of the group. Furthermore, rather than face rejection, some members will even withhold their input if it differs from others’ within the group. The initial group meeting for any group is where groupthink is going to be most visible. Certain people choose not to speak up if their opinion slightly differs, some people do not want to offer up new ideas, and everyone looks to the group leader for direction. As meetings become more frequent and the group members get to know each other, I believe those barriers break down and people feel more open to express their opinions. On the other hand, there will always be group members who are never afraid to voice their opinions. It is easy for those people to have influence over the less vocal members in the group, so it is important to keep a happy balance. The only problem with this theory, as it relates to the group I am a part of, is that the theory seems to focus more on decision making groups. Though the GSA committee makes decisions that affect the graduate student body as a whole, it is not our primary role. This particular group, as originally stated, is more task oriented. Regardless, overcoming groupthink is a reoccurring challenge when working within a group. One of the ways we have actively addressed groupthink within the GSA committee is by allowing members to voice their doubts. We have created a very neutral environment where everyone feels comfortable expressing their thoughts, even if they differ from the majority of the group. When we cannot make a unanimous decision on an issue or task, we completely discuss both sides. Without interruption, without judgement, and without ridicule, we as group work together to find the solution that will be best for the group as a whole. References West, R., Turner, L. (2010). Groupthink. In Introducing communication theory: Analysis and application (5th Ed.). Boston: McGraw-Hill. West, R., Turner, L. (2010). Organizational Culture. In Introducing communication theory: Analysis and application (5th ed.). Boston: McGraw-Hill. West, R., Turner, L. (2010). Social Penetration Theory. In Introducing communication theory: Analysis and application (5th ed.). Boston: McGraw-Hill. West, R., Turner, L. (2010). Structuration Theory. In Introducing communication theory: Analysis and application (5th ed.). Boston: McGraw-Hill.

Essays --

Television Producer Television producers have one of the most prominent and active roles within the industry; they play a part in each aspect of pre-production, production and post-production. A producer tends to be at the core of any contemporary television show, yet there are several different kinds of producer that are at the threshold. Within television, producers are highly involved in a wide variety of programming, such as dramas, reality shows, game shows, documentaries, sitcoms etc. Like with most media based roles, the ideal outcome for any producer, is a successful broadcast. Producers are the initiators of all projects. Their role deals with issues of creativity, finance and practicality; they must supervise an entire production and creative team. Yet, certain positions are headed by specific types of producer. For example, an 'Executive Producer' will likely be in charge of the finances, along with input on the script and ensuring all cast and crew are content. Yet, an executive producer can be claimed to have very little involvement in the technical side of the video making process, but is still responsible for the project. Typically, an executive producer handles business and legal issues. A regular 'Producer' will run every aspect of the production on a daily basis, because of this, they often duplicate roles and become directors and writers as well. Following this, an 'Associate Producer' will assist the 'Producer', whether that be a research position, coordinating staff, or taking on the 'Producer' role if he/she is otherwise incapable themselves. Many other roles on a television series, include a Line/Field Producer, which takes charge of 'on location' production and a Series Producer, who is responsible for ... ...background in media education is beneficial. However, previous experience within the industry is a requirement, whether it be as a runner, researcher, assistant producer etc; this experience can lead to employment in a more senior position. A strong producer will be creative, a strong financial head, leadership abilities, confidence, good communication skills and strong time and resource management. As long as television exists, so will a producer. Successful producers gain the audience's appreciation with originality, whilst appealing to the masses. They capture the audience's attention through a range of marketing campaigns and creatively successful shows themselves. However, Producer roles are dominated by men. In 2011, women comprised only 18% of all roles within the media industry. Albeit, networking, organisation and creativity are key to becoming a producer.

Last Product Purchased Essay

Think for a moment about the last product you purchased. What was the product? What is the brand name of the product? How would you describe the customer for this product? What is the product’s closest brand competitor? Explain why you chose this brand rather than the competitor’s brand. How did the marketing for the product influence your purchase? The last product I purchased was my new car. It is a 2012 Chevrolet Malibu. The customer for this product would be a young adult to middle aged adult. The customer for this car wants a car that is smaller in size but one that also has plenty of room for at least 4 people. The closest brand to this car would be, in my opinion, the Pontiac G8. When I purchased my Malibu I went to test drive the G8. It was a 2011 and had only a few miles on it. It was traded in for a different car because the car was too small for the current owner. I loved the G8 and it was everything I wanted. It was only a couple thousand dollars less than the Malibu and the Malibu was brand new with only 20 miles on it. My husband is the one who really liked the Malibu and talked me into test driving it. Needless to say that is the car I choose. I chose this particular car because with the FREE extended warranty and the rebates on this car it turned out to be a cheaper car than the G8 but also a better car. Honestly the marketing on this car did not influence my opinion at all. I never thought about this specific car until at the dealership that day. When I purchased this car Chevrolet has awesome rebates and interest on their new vehicles. After my purchase I stared seeing, or paying attention, to the commercials on this car and I am positive I made the right decision. If I would have paid attention to the commercials on this car it would have been the car I chose anyway.

Essay Sample on Old Testament Stories

Essay Sample on Old Testament Stories The year of the fall of Samaria was approaching. Hoshea, son of Elah, was ruling over Israel. As most of the kings before him, Hoshea did evil in the eyes of the Lord. Therefore, God put curses on Samaria with the invasion of Assyria. All Israelites had to leave their land and move to Assyria. The king of Assyria took the complete power over the land of Israelites and brought people from Babylon, Cuthah, Avva, Hamath and Sepharvaim and settled them in the towns of Samaria to replace the Israelites (2 Kings 17:24). God did this because of Israel’s numerous sins. Israelites did not follow the book of Law written by Moses, but instead acted in opposite way. They worshipped other kings, had a lot of high places, where they burned incense, and even sacrificed their sons and daughters in the fire. God removed all Israel from his presence, but left only one tribe Judah, as he still was holding to the Covenant he made with David.MoreThis happened to be a warning to the tribe of Judah. Nevertheless, it was not enough for people to stop act against God. Although, Hezekiah, king of Judah, ruled right in the eyes of the Lord, just as his father David had done (2 Kings 18:3), removed all high places and even broke Moses Bronze Snake, to which people burned incense, Hezekiahs follower Manasseh made the most evil thing by rebuilding high places erecting altar to Baal and making an Asherah pole, and even sacrificing his own son in the fire. Therefore, this is what the Lord, the god of Israel says: I am going to bring such disaster on Jerusalem and Judah that the ears of everyone who hears of it will tangle (2 Kings 21:12). During the reign of Josiah, grandson of Manasseh, the Book of the Law was found by Hilkiah, the high priest. Josiah acted in accordance with the law during his life. However, all of his followers including Zedekiah, ignored Gods commandments, so in 586 B.C., Jerusalem was seized by Babylon and all people were made to flee to Egypt. These are the evens that took place at that time period and now we have to find reasons and explanation to these evens and their significance in the Bible. The book of Torah is the primary reason for writing a second edition of DH. This book was written by Moses on the scroll and placed next to the Ark. It was considered to be the Law Code, which people were obligated to carefully observe them with all your heart and with all your soul (Deuteronomy 26:16). One of the most important points in the book of Law was the centralization of worship. There did not have to be numerous places to worship, but only the one. â€Å"But you are to seek the place the Lord your God, will choose from among all your tribes to put his Name for his dwelling. (Deuteronomy 12:5) The book of the Law also contained special code of laws for kings. A king could not be a foreigner, must not acquire great numbers of horses, must not take many wives, and must not accumulate large amounts of silver and gold (Deuteronomy 15:17). However, practice did not comply with the law. Most of the kings until the reign of Josiah acted in the way totally different as it was said in the book. Besides the fact that king Solomon had seven hundred wives of royal birth and three hundred concubines (1 Kings 11:3), he was building a lot of high places to worship his wives gods. According to the Law, only Levite priests could perform sacrifices. This point of code was ignored either. For example, in 1 Kings 12:31, Jeroboam built shrines on high places and appointed priests from all sorts of people even though they were not Levites. Also, in 1 Samuel 1, we can observe Samuel who is non-Levite, worshipping the Lord in his house at Shiloh. The reason to this is the lost Book of the Law after Philistines capturing the ark. Davidic covenant was included in DH1. The God said to David though the prophet Nathan your house and your kingdom will endure forever before me; your throne will be established forever.† (2 Samuel 7:16) This covenant was treated as unconditional. However, as we can see, the actions of David’s followers led to eventual cancellation of the covenant. Davids son Solomon, who was predestinated to build of the house for Lord, did not behave as his father did. During his reign, he accumulated a great number of horses, silver and gold, had enormous number of wives and worshipped their gods. Because of his negative performance God decided to tear his kingdom away from him, however, leaving him a piece of land in order to keep to his promise to David. Further, troubles came upon Israel. Most kings of Israel were engaged in fighting, murder and worshipping other gods. As Jeroboam, you [Jeroboam] had done more evil than all who lived before you. You have made for yourself other gods , idols made of metal (1 Kings 14:9) Rehoboam, king of Judah, also did evil. He built high places, sacred stones, and Asherah poles everywhere. Asa, king of Judah was one of relatively good kings. â€Å"He expelled the male shrine prostitutes from the land and got rid of all idols his father has made. (1 Kings 15:12) However, he did not destroy the high places for sacrifices and worship. Both kings of Israel, Baasha and Elah did evil things, that is why, their whole family was killed because of their sins, as it was declared through the prophet Jehu. Ahab, king of Israel was one of the worst kings. Ahab also made an Asherah pole and did more to provoke the Lord, the God of Israel than did all the kings of Israel before him (1 Kings 16:33). Nevertheless, God decided not to put disaster on him but on his son as Ahab humbled himself before God. Jehoshaphat, king of Judah was one of the kings devoted to Lord, his God. But, anyway, he didn’t remove the high placed it was require d according to the law. Despite of the wrongdoings of the kings Jehoram, Ahaziah, Jehoahaz, Jehoash, Jeroboam II, Zechariah, Shallum, Pekah and others, God Was not willing to destroy Judah. He had promised to maintain a lamp for David and his descendants forever. (2 Kings 8:19) The kings Joash, Amaziah, Azariah, and Jotham, did what was right in the eyes of the Lord, but they never destroyed high places. Hoshea did more evil that his predicators, therefore God decided to curse Israel by taking away their land and putting them into exile. Hezekiah, king of Judah, was better than all those who preceded him. He is compared to King David. Hezekiah removed all high places and even broke the Bronze Snake, the sign of Moses. Nevertheless, his follower, turned everything the way it was before. He restored high places, built other places to worship and sacrificed his own son in the fire. He did much evil in the eyes of the Lord provoking Him to anger. (2 Kings 21:6) The most devoted and righ teous king was Josiah. In Deuteronomy 6:5 it is said Love the Lord your God with all your heart and with all your soul, and with all your strength. Of all the kings only Josiah did everything in accordance with the law. He is even compared to Moses. During Josiah’s reign there was the centralization of worship. He introduced the Law to all people and made them pledge to the renewed covenant. In my opinion, Jeremiah is the most probable author of Deuteronomist history. It was written in 622 B.C. during the reign of Josiah. Jeremiah was the son of Hilkiah, the high priest, who found the book of law. Shaphan was a secretary. Therefore, he decided to write DH1 to show why the kings of that period did not follow the law code and to prove the unconditional status of Davidic covenant. Jeremiah dictated the text to Baruck who scribed it. One more proof of Jeremiah’s authorship is the language used in the books of Jeremiah, Deuteronomy and 2 Kings. We can observe numerous similar verses in Deuteronomy and Jeremiah. For instances, in both Deuteronomy 10:16 and Jeremiah 4:4 it is said circumcise your hearts. In Deuteronomy 4:20 and Jeremiah 11:4 brought you out of iron-smelting furnace. Furthermore, there are numerous similarities in Deuteronomy and 2 Kings. As P author wrote in approximately, 700 B.C. Jeremiah was aware of him. P did not make restrictions about sacrifices i n one place; therefore he was not aware of the book of Law. Although, David was promised that there always be a king on his throne, 586 B.C. Jerusalem fell, and now there was no king on the throne. Jerusalem was captured by Babylon and people were put to exile. During this time, DH2 was written by Jeremiah and Baruch. They needed to find a reason for exile, therefore, after Josiah, there was a shift in focus of DH. Jeremiah revised what God said to David in the covenant with Solomon. God said to Solomon that if he would keep to all Gods commands and laws, be righteous and obedient, God would establish his throne forever. But if you or your sons turn away from me and do not observe the commands and decrees I have given you and go off to serve other gods and worship them, than I will cut off Israel from the land I have given them, and will reject this temple I have consecrated for my name. (1 Kings 9:6-7) Here we can see a reference to exile. As for Manasseh, in 2 Kings, he would never be forgiven for his terrible sins: For he had filled Jerusa lem with innocent blood and the Lord was not willing to forgive (2 Kings 24:4). However, in 2 Chronicles 23:13, when Manasseh prayed to God the Lord was moved by his entreaty and took him back to his kingdom. The purpose for including this verse in DH2 is to show that God does forgive his people.

Dolphin Facts

Dolphin Facts Dolphins (Odontoceti) are a group of 44 species of toothed whales or cetaceans. There are dolphins in every ocean on Earth, and there are freshwater species of dolphins that inhabit rivers in South Asian and South American. The largest dolphin species (the orca) grows to more than 30 feet long while the smallest, Hectors dolphin, is just 4.5 feet in length. Dolphins are well known for their intellect, their gregarious nature, and their acrobatic abilities. But there are many lesser-known qualities that make a dolphin a dolphin. Fast Facts: Dolphins Scientific Name: Odontoceti  Common Name: Dolphin (Note: This name refers to the group of 44 species classified as Odontoceti; each has its own scientific and common name.)Basic Animal Group:  MammalSize: 5 feet long to over 30 feet long, depending on the speciesWeight: Up to 6 tonsLifespan: Up to 60 years depending on the speciesDiet:  CarnivoreHabitat:  All oceans and some riversPopulation:  Varies per speciesConservation  Status:  Bottlenose dolphins are considered to be of Least Concern, while about 10 species of dolphins are listed as Severely Threatened.   Description Dolphins are small-toothed Cetaceans, a group of marine mammals that evolved from land mammals. They have developed numerous adaptations that make them well suited for life in water including a streamlined body, flippers, blowholes and a layer of blubber for insulation. Dolphins have curved beaks which means they appear to have permanent smiles. Dolphins evolved from land mammals whose legs were underneath their bodies. As a result, dolphins tails move up and down as they swim, whereas a fish’s tail moves from side to side. Dolphins, like all toothed whales, lack olfactory lobes and nerves. Because dolphins do not possess these anatomical features, they most likely have a poorly developed sense of smell. The snout of some oceanic dolphins is long and slender due to their elongated, prominent jaw bones. Within the dolphins elongated jaw bone sits numerous conical teeth (some species have as many as 130 teeth in each jaw). Species that have prominent beaks include, for example, Common Dolphin, Bottlenose Dolphin, Atlantic Humpbacked Dolphin, Tucuxi, Long-Snouted Spinner Dolphin, and numerous others. The forelimbs of a dolphin are anatomically equivalent to the forelimbs of other mammals (for example, they are analogous to arms in humans). But the bones within the forelimbs of dolphins have been shortened and made more rigid by supporting connective tissue. Pectoral flippers enable dolphins to steer and modulate their speed. The dorsal fin of a dolphin (located on the back of the dolphin) acts as a keel when the animal swims, giving the animal directional control and stability within the water. But not all dolphins have a dorsal fin. For example, the Northern Rightwhale Dolphins and the Southern Rightwhale Dolphins lack dorsal fins. Dolphins do not have prominent external ear openings. Their ear openings are small slits (located behind their eyes) which do not connect to the middle ear. Instead, scientists suggest that sound is conducted to the inner and middle ear by fat-lobes located within the lower jaw and by various bones within the skull. Tunatura/Getty Images Habitat and Distribution Dolphins live in all of the world’s seas and oceans; many inhabit coastal areas or areas with shallower water. While most dolphins prefer warmer tropical or temperate waters one species, the orca (sometimes called killer whale) lives in both the Arctic Ocean and the Antarctic Southern Ocean. Five dolphin species prefer fresh to salt water; these species inhabit rivers in South America and South Asia. Diet and Behavior Dolphins are carnivorous predators. They use their strong teeth to hold their prey, but then either swallow their prey whole tear it into small pieces. They are relatively light eaters; the bottlenose dolphin, for example, eats about 5 percent of its weight each day. Many species of dolphins migrate to find food. They consume a wide range of animals including fish, squid, crustaceans, shrimp, and octopus. The very large Orca dolphin may also eat marine mammals such as seals or marine birds such as penguins. Many dolphin species work as a group to herd or coral fish. They may also follow fishing vessels to enjoy the waste thrown overboard. Some species will also use their flukes to beat and stun their prey. Reproduction and Offspring Most dolphins become sexually mature at between 5 and 8 years old. Dolphins give birth to a single calf once every one to six years and then feed their babies milk through their nipples. Dolphin pregnancies range in length from 11 to 17 months. Location can make an impact on the gestation period. When a pregnant female is ready to deliver, she separates herself from the rest of the pod to a location near the waters surface. Dolphin calves are usually born tail first; at birth, calves are about 35–40 inches long and weigh between 23 and 65 pounds. The mother immediately brings her infant to the surface so it can breathe. Newborn calves look a bit different from their parents; they typically have dark skin with lighter bands which fade over time. Their fins are quite soft but harden very quickly. They can swim almost immediately, but do require the protection of the pod; in fact, young dolphins are typically nursed for the first two to three years of life and may stay with their mothers for up to eight years. Georgette Douwma/Getty Images   Species Dolphins are members of the order Cetacea, Suborder Odontoceti, Families Delphinidae, Iniidae, and Lipotidae. Within those families, there are 21 genera, 44 species, and several subspecies. The species of dolphins include: Genus: Delphinus Delphinus capensis (Long-beaked common dolphin)Delphinus delphis (Short-beaked common dolphin)Delphinus tropicalis. (Arabian common dolphin) Genus: Tursiops Tursiops truncatus (Common bottlenose dolphin)Tursiops aduncus (Indo-Pacific bottlenose dolphin)Tursiops australis (Burrunan dolphin) Genus: Lissodelphis Lisodelphis borealis (Northern right whale dolphin)Lssodelphis peronii (Southern right whale dolphin) Genus: Sotalia Sotalia fluviatilis (Tucuxi)Sotalia guianensis (Guiana dolphin) Genus: Sousa Sousa chinensis (Indo-Pacific humpback dolphin)Subspecies:Sousa chinensis chinensis (Chinese white dolphin)Sousa chinensis plumbea (Indo-Pacific humpback dolphin)Sousa teuszii (Atlantic Humpback Dolphin)Sousa plumbea (Indian Humpback dolphin) Genus: Stenella Stenella frontalis (Atlantic spotted dolphin)Stenella clymene (Clymene dolphin)Stenella attenuata (Pantropical spotted dolphin)Stenella longirostris (Spinner dolphin)Stenella coeruleoalba (Striped dolphin) Genus: Steno Steno bredanensis (Rough-toothed dolphin) Genus: Cephalorhynchus Cephalorhynchus eutropia (Chilean dolphin)Cephalorhynchus commersonii (Commerson’s dolphin)Cephalorhynchus heavisidii (Heaviside’s Dolphin)Cephalorhynchus hectori (Hector’s dolphin) Genus: Grampus Grampus griseus (Risso’s dolphin) Genus: Lagenodelphis Lagenodelphis hosei (Fraser’s dolphin) Genus: Lagenorhynchus Lagenorhynchus acutus (Atlantic white-sided dolphin)Lagenorhynchus obscurus (Dusky dolphin)Lagenorhynchus cruciger (Hourglass dolphin)Lagenorhynchus obliquidens (Pacific white-sided dolphin)Lagenorhynchus australis (Peale’s dolphin)Lagenorhynchus albirostris (White-beaked dolphin) Genus: Peponocephala Peponocephala electra (Melon-headed whale) Genus: Orcaella Orcaella heinsohni (Australian snubfin dolphin)Orcaella brevirostris (Irrawaddy dolphin) Genus: Orcinus Orcinus orca (Orca- Killer Whale) Genus: Feresa Feresa attenuata (Pygmy killer whale) Genus: Pseudorca Pseudorca crassidens (False Killer whale) Genus: Globicephala Globicephala melas (Long-finned pilot whale)Globicephala macrorhynchus (Short-finned pilot whale) Superfamily: Platanistoidea Genus Inia, Family: Iniidae Inia geoffrensis. (Amazon river dolphin).Inia araguaiaensis (Araguaian river dolphin). Genus Lipotes, Family: Lipotidae Lipotes vexillifer (Baiji) Genus Pontoporia, Family: Pontoporiidae Pontoporia blainvillei (La Plata dolphin) Genus Platanista, family: Platanistidae Platanista gangetica (South Asian river dolphin)Subspecies:Platanista gangetica gangetica (Ganges river dolphin)Platanista gangetica minor (Indus river dolphin) Conservation Status The Baiji has suffered dramatic population declines over recent decades due to pollution and heavy industrial use of the Yangtze River. In 2006, a scientific expedition set out to locate any remaining Baiji but failed to find a single individual in the Yangtze. The species was declared functionally extinct. Dolphins and Humans Humans have long been fascinated with dolphins, but the relationship between humans and dolphins has been complex. Dolphins are the subject of stories, myths, and legends as well as great works of art. Because of their great intelligence, dolphins have been used for military exercises and therapeutic support. They are also often kept in captivity and trained to perform; in most cases, this practice is now considered to be cruel. Sources Dolphin Facts and Information, www.dolphins-world.com/.â€Å"Dolphins.†Ã‚  Dolphin Facts, 4 Apr. 2019, www.nationalgeographic.com/animals/mammals/group/dolphins/.NOAA. Dolphins Porpoises.†Ã‚  NOAA Fisheries, www.fisheries.noaa.gov/dolphins-porpoises.

Theory and Development-M1A2 Q2 Essay Example | Topics and Well Written Essays - 250 words

Theory and Development-M1A2 Q2 - Essay Example In addition, firms realized that motivation contributes towards productivity and eventual profits because motivated employees possess satisfaction in their work. Besides, companies invest in motivation because satisfied employees are an ideal brand to a company. Motivational strategies of today stretch beyond monetary rewards. Modern organizations, however, ensure that employees attain monetary benefits that are commensurate to the responsibilities they handle. In addition, impressive pay is a key retention factor in a contemporary organization. Building a consultative environment is a way of making modern employees feel as a part of an organization (Gagne & Deci, 2005). Organizations currently invest in staff training as a way of making employees feel competent in their work. Besides, organizations establish autonomous human resource departments that ensure there is constant communication between the employees and management in an organization. Motivation continues to be a challenge to today’s organizations. Technology has altered the expectations of employees. This suggests that traditional methods of motivation have to adapt to technological attitudes of modern employees. In addition, intrinsic motivation is a current issue that challenges contemporary firms. In turn, organizations strive to create the environments that encourage intrinsic motivation (Michie & Gooty, 2005). Companies, therefore, have to ensure that employees engage in responsibilities that synchronize with their

Why the modern world is bad for your brain by Daniel J Levitin Essay - 220

Why the modern world is bad for your brain by Daniel J Levitin - Essay Example Levitin draws on the research and works of several Neuroscientists and Psychologists to break the myths of multitasking and explain the physical and mental effects of the modern obsession and addiction to technology. I think the arguments advanced by Levitin sound convincing in view of my personal experience, news reports and similar findings from research around the globe. Levitin argues comprehensively against multitasking to shatter the ‘illusion’ surrounding multitasking and to point out the eventuating mental and physical losses to the multitaskers. One interesting observation made by Levitin is that the chronic tendency to multitask deludes people into believing that they are accomplishing a lot in a short time but in reality divides their attention between too many things to make them less efficient, more stressed and lose their cognitive abilities. Using research evidence, Levitin explains that switching between tasks stimulates the production of stress-related h ormones resulting in clouded thinking, anxiety, depleted concentration. The ultimate outcome is a temporary pleasure but permanent loss of efficiency and cognitive skills, according to Levitin. I find this argument compelling because of my urge to multitask. When I am doing a reading for an assignment, for example, simultaneously I check and respond to emails, instant messenger, answering my phone, and sometimes listening to my favorite music too. If I find myself at times at a student computer lab where I may not have access to my personal email or music, or not allowed to use mobile phone, I frequently get distracted by the thought that I am doing too little when there is a lot to do. As a result, I become anxious for no reason, as just the very thought of missing out on doing several things at once makes me feel stressed.