Universal setIn set theory, a universal set is a set which contains all objects, including itself. In set theory as usually formulated, it can be proven in multiple ways that a universal set does not exist. However, some non-standard variants of set theory include a universal set. Many set theories do not allow for the existence of a universal set. There are several different arguments for its non-existence, based on different choices of axioms for set theory. In Zermelo–Fraenkel set theory, the axiom of regularity and axiom of pairing prevent any set from containing itself.
Piecewise linear functionIn mathematics and statistics, a piecewise linear, PL or segmented function is a real-valued function of a real variable, whose graph is composed of straight-line segments. A piecewise linear function is a function defined on a (possibly unbounded) interval of real numbers, such that there is a collection of intervals on each of which the function is an affine function. (Thus "piecewise linear" is actually defined to mean "piecewise affine".
Unit priceA product's average price is the result of dividing the product's total sales revenue by the total units sold. When one product is sold in variants, such as bottle sizes, managers must define "comparable" units. Average prices can be calculated by weighting different unit selling prices by the percentage of unit sales (mix) for each product variant. If we use a standard, rather than an actual mix of sizes and product varieties, the result is price per statistical unit. Statistical units are also called equivalent units.
Sales presentationAs a selling technique, a sales presentation or sales pitch is a line of talk that attempts to persuade someone or something, with a planned sales presentation strategy of a product or service designed to initiate and close a sale of the product or service. A sales pitch is essentially designed to be either an introduction of a product or service to an audience who knows nothing about it, or a descriptive expansion of a product or service that an audience has already expressed interest in.
Linear video editingLinear video editing is a video editing post-production process of selecting, arranging and modifying images and sound in a predetermined, ordered sequence. Regardless of whether it was captured by a video camera, tapeless camcorder, or recorded in a television studio on a video tape recorder (VTR) the content must be accessed sequentially. For the most part video editing software has replaced linear editing.
Chain storeA chain store or retail chain is a retail outlet in which several locations share a brand, central management and standardized business practices. They have come to dominate the retail and dining markets and many service categories, in many parts of the world. A franchise retail establishment is one form of a chain store. In 2005, the world's largest retail chain, Walmart, became the world's largest corporation based on gross sales. In 1792, Henry Walton Smith and his wife Anna established W.H.
Video editingVideo editing is the manipulation and arrangement of video shots. Video editing is used to structure and present all video information, including films and television shows, video advertisements and video essays. Video editing has been dramatically democratized in recent years by editing software available for personal computers. Editing video can be difficult and tedious, so several technologies have been produced to aid people in this task. Pen based video editing software was developed in order to give people a more intuitive and fast way to edit video.
Sales process engineeringSales process engineering is intended to design better ways of selling and make salespeople's efforts more productive. It has been described as "the systematic application of scientific and mathematical principles to achieve the practical goals of a particular sales process". Paul Selden pointed out that in this context, sales referred to the output of a process involving a variety of functions across an organization, and not that of a "sales department" alone. Primary areas of application span functions including sales, marketing, and customer service.
Heaviside step functionThe Heaviside step function, or the unit step function, usually denoted by H or θ (but sometimes u, 1 or ), is a step function named after Oliver Heaviside, the value of which is zero for negative arguments and one for positive arguments. It is an example of the general class of step functions, all of which can be represented as linear combinations of translations of this one. The function was originally developed in operational calculus for the solution of differential equations, where it represents a signal that switches on at a specified time and stays switched on indefinitely.
Department storeA department store is a retail establishment offering a wide range of consumer goods in different areas of the store, each area ("department") specializing in a product category. In modern major cities, the department store made a dramatic appearance in the middle of the 19th century, and permanently reshaped shopping habits, and the definition of service and luxury. Similar developments were under way in London (with Whiteleys), in Paris (Le Bon Marché) and in New York (Stewart's).