Hyperboloid Model Term Paper Example | Topics and Well Written Essays - 2000 words

Hyperboloid Model - Term Paper Example The paper’s aim is to comprehensively discuss the concept of the ‘Hyperboloid Model’, in relation to application in the field of Geometry and Mathematics in general. While focus will be placed more on the geometrical application, influences and effects of the model, the paper will also delve into other applications. Conclusively, it will portray the functional application of the model, essential in gaining required accuracy. Towards better understanding the vital importance of the hyperboloid model, there is need of a historical analysis of the concept, in terms of geometrical application. To be noted, as Alekseevskij, Vinberg and Solodovnikov (1993) portray, is that the study of prevailing relations amongst hyperbolic, spherical and Euclidean geometries historically dates back to the early 19th century. This was in an attempt at proving Euclid’s fifth postulate. Accordingly, it is towards ascertaining this that C. F. Gauss was able to subsequently discover, in the 1820s, the concept of hyperbolic geometry. Influential is that only a few years were to pass, before this form of geometry was to be independently re-discovered by both J. Bolyai (1832) and N. Lobacheviski (1829). Notable is that the concept’s founders were in agreement, in terms of providing its strongest evidence for its consistency. This was based upon the duality present, between spherical and hyperbolic trigonometries (Alek seevskij, Vinberg & Solodovnikov, 1993). Initially demonstrated by Lambert – in his [L1770] 1770 memoir – the duality aspect present between the two forms of trigonometries is vivid in a variety of theorems. Inclusive is the ‘law of sines’, which can be affirmed in a form that is applicable in hyperbolic, Euclidean and spherical geometries. Accordingly, it is towards proving the prevailing consistency of hyperbolic geometry that necessitated the building of diverse analytical models upon the Euclidean plane. This is perhaps the reason why Beltrami E.

Marketing Essay Example | Topics and Well Written Essays - 1500 words - 6

Marketing - Essay Example The financial services sector would include banking, life assurance and pensions, investment management and asset servicing apart from general insurance, corporate finance, and broking services sectors. The factors that affect the financial services industry are the government regulation and deregulation from time to time, global competition, changing customer preference behavior. Availability of skilled staff is essential. Marketing financial services, irrespective whether it is face-to-face or through direct marketing channels, comes with a high cost. If human element is eliminated, the electronic set up costs is high. Marketing of services is a bigger challenge than marketing of products. Various reasons account for this and hence strategic marketing plans have to be devised for this. The most important differentiation is that products have well defined parameters and the customer can base his decision to some extent on that. Services on the other hand are intangible. In services marketing, it depends to a large extent on the customer. Two different people would react differently to a given situation. Marketing a product is on the premise that there is a market of millions. Hence, all related services like delivery, demonstration and after sales service can be built accordingly. As far as marketing financial services is concerned, each individual is a market in himself. Customer relationship management is essential here. Transactional analysis is important because it helps to derive customer knowledge to offer and improve the services. The service staff can also be trained based on this informati on. In marketing financial services, various factors have to be taken into account. Financial services come with a high element of risk attached to it. Marketing of products and general services require the four P’s (product, price, place and promotion) but in marketing of financial services two