Trends and Marketing Assignment Example | Topics and Well Written Essays - 500 words

Trends and Marketing - Assignment Example From this paper it is clear that Deluxe Financial Service is part of a two billion-dollar firm that serves over 8000 banks and financial institutions. Founded in 1915, it became a global phenomenon and its growth is considered an inspiration by many organizations. As it started, many people relied on some of its products to conduct business. However, as technology grew, it was considered old to use some of their products, and services. To prevent their organization from falling, the managing heads decided to rid themselves of everything that was old, and tried to focus on the future. Their paper checks were facing the challenge of the use of credit and debit cards. Deluxe decided to offer their consumers what they truly desired. They decided to be the financial institutions robust competitors, while promising their consumers to be their most valued, trusted business partner. Learning about consumer wants and needs became their marketing strategy. As that knowledge was put to the test , Deluxe was at an advantage over their competitors, and at par with their consumers.The retail experience financial institutions offered their clients were not appealing. Deluxe decided to take this up a notch. This changed the manner in which Deluxe conducted its business. Customer relations were increased because most of the customers claimed that, in their financial institutions, customer relations was a problem. Deluxe could assist financial institutions with customer relations, and at the same time, provide them with retail experience they so desperately needed.  

Mathematics of infinite Essay Example | Topics and Well Written Essays - 1250 words

Mathematics of infinite - Essay Example Calculus passed along a dramatic path, with a history worth reminiscing and value worth appreciating. Introduction Calculus, is a branch of mathematics that deals with rates of changes of quantities, area, volume, length and motion of objects. It is also called analysis, real analysis or infinitesimal analysis. Calculus is divided into two branches: differential calculus -concerned with derivatives and the integral calculus- that deal with integrals (Calculus 2013). The invention of Calculus is basically accredited to Sir Isaac Newton (1642-1727) and Gottfried Wilhelm Leibniz (1646-1716). Newton and Leibniz’s breakthrough in mathematics had triggered a lot of debates and arguments from their successors which somehow contributed to the total development of the modern calculus that is existent today. The Birth: Calculus by Newton and Leibniz It is amazing to note that Newton and Leibniz discovered the concepts of calculus independently in separate periods of time, in years 1665 and 1673 respectively. Newton first discovered the subject although Leibniz was the first to publish his works in 1684. Leibniz uses symbols and notations and developed formulas obeying certain rules that transformed the theoretical methods of calculus. Leibniz’s study of the relationships of sequences of sums and differences has contributed greatly in concrete problem solving making it the essence of the Fundamental Theorem of Calculus. He also established the harmonic triangle forming sequences of sums and differences. Leibniz’ another major contribution is the idea of â€Å"characteristic triangle† where a triangle with a curve running along it has infinitesimal sides at every point of the curve (Leibniz’s Fundamental Theorem of Calculus n.d : 133-136). Newton established calculus based on three methods which are the infinitesimal, method of fluxions and the ultimate ratios. He also introduced â€Å"moments of fluxions†, as the amount of increas e of a fluxion in an infinitely small period of time. The â€Å"ultimate ratios† is his attempt to lay the foundation of calculus with the concept of limits (The Calculus of Leibniz and Newton n.d). Newton uses fluxion and fluent instead of derivative and integral. He uses infinitesimals for computations and provided more concepts about differentiation. Newton and Leibniz were not the first mathematicians that made the evolution of calculus possible. They were the first to define â€Å"algorithmic processes† and to set general notations. They formulated the inverse relationship of integration and differentiation in the most logical manner. Their ideas though individually and independently discovered by each one but resulted to be very related has made calculus to stand on firm foundations of knowledge which until now has been used and applied. As a general statement: â€Å"Newton’s legacy is more about the sorts of scientific problems that calculus has consider ed during the past three to four centuries, while Leibniz’ legacy is more about the way such problem are studied† (Burton n.d) Gray Period: Berkeley’s Criticism Newton and Leibniz’ profound usage of â€Å"infinitesimals† has disturbed many mathematicians succeeding them. Lord Bishop Berkeley is one of those who hurled stinging and serious criticisms to this idea. In his book, The Analyst, he exposed his judgment about the validity of calculus comparing it with religion. He derided the idea of â€Å"