Division (business)

A division of a business or business division (sometimes called a business sector) is one of the parts into which a business, organization or company is divided. The divisions are distinct parts of that business. If these divisions are all part of the same company, then that company is legally responsible for all of the obligations and debts of the divisions. However, in a large organization, various parts of the business may be run by different subsidiaries, and a business division may include one or many subsidiaries. Each subsidiary is a separate legal entity owned by the primary business or by another subsidiary in the hierarchy. Often a division operates under a separate name and is the equivalent of a corporation or limited liability company obtaining a fictitious name or "doing business as" certificate and operating a business under that fictitious name. Companies often set up business units to operate in divisions prior to the legal formation of subsidiaries.

Generally, only an "entity", e.g. a corporation, public limited company (plc) or limited liability company, etc. would have a "division"; an individual operating in this manner would simply be "operating under a fictitious name".

Division (horticulture)

Division, in horticulture and gardening, is a method of asexual plant propagation, where the plant (usually an herbaceous perennial) is broken up into two or more parts. Both the root and crown of each part is kept intact. The technique is of ancient origin, and has long been used to propagate bulbs such as garlic and saffron. Division is mainly practiced by gardeners and very small nurseries, as most commercial plant propagation is now done through plant tissue culture.

Division is one of the three main methods used by gardeners to increase stocks of plants (the other two are seed-sowing and cuttings). Division is usually applied to mature perennial plants, but may also be used for shrubs with suckering roots, such as gaultheria, kerria and sarcococca. Annual and biennial plants do not lend themselves to this procedure, as their lifespan is too short.

Most perennials are best divided and replanted every few years to keep them healthy. They may also be divided in order to produce new plants. Those with woody crowns or fleshy roots need to be cut apart, while others can be prized apart using garden forks or hand forks. Each separate section must have both shoots and roots. Division can take place at almost any time of the year, but the best seasons are Autumn and Spring.

Division of the field

In heraldry, the field (background) of a shield can be divided into more than one area, or subdivision, of different tinctures, usually following the lines of one of the ordinaries and carrying its name (e.g. a shield divided in the shape of a chevron is said to be parted "per chevron"). Shields may be divided this way for differencing (to avoid conflict with otherwise similar coats of arms) or for purposes of marshalling (combining two or more coats of arms into one), or simply for style. The lines that divide a shield may not always be straight, and there is a system of terminology for describing patterned lines, which is also shared with the heraldic ordinaries. French heraldry takes a different approach in many cases from the one described in this article.

Common divisions of the field

Common partitions of the field are:

Division algorithm

A division algorithm is an algorithm which, given two integers N and D, computes their quotient and/or remainder, the result of division. Some are applied by hand, while others are employed by digital circuit designs and software.

Division algorithms fall into two main categories: slow division and fast division. Slow division algorithms produce one digit of the final quotient per iteration. Examples of slow division include restoring, non-performing restoring, non-restoring, and SRT division. Fast division methods start with a close approximation to the final quotient and produce twice as many digits of the final quotient on each iteration. Newton–Raphson and Goldschmidt fall into this category.

Discussion will refer to the form , where

is the input, and

is the output.

Division by repeated subtraction

The simplest division algorithm, historically incorporated into a greatest common divisor algorithm presented in Euclid's Elements, Book VII, Proposition 1, finds the remainder given two positive integers using only subtractions and comparisons:

Business (song)

"Business" is a song by American rapper Eminem from his fourth studio album The Eminem Show (2002). "Business" was released as the final single from The Eminem Show in July 2003. The single was not released in the United States.

Composition

"Business" is a hip hop song of four minutes and eleven seconds in length. It sees Eminem comparing himself and Dr. Dre, the song's producer, to fictional crime-fighting duo Batman and Robin, a comparison first explored in the music video for the previous Eminem single "Without Me". The lyrics are backed by a "cartoonish" beat: one of several Dr. Dre productions on The Eminem Show which, according to CultureDose writer Marty Brown, affords Eminem a "perfect sound-scape" to inspire emotions in the listener, calling the beat "a launchpad equally effective for humor or anger". Writing for Pitchfork Media, Ethan P. noted the "cartoonish" production to be similar in style to several of Eminem's early singles, claiming it to be fitting to the Batman and Robin theme on "Business", but noted that "this time he's actually talking about Batman and Robin!!". DX Magazine editor J-23 called this "classic" with Dre beats. Kris Ex On "Business": "Em names himself the gatekeeper of hip-hop and obliquely claims to be the best rapper alive: "The flow's too wet/Nobody close to it/Nobody says it, but everybody knows the shit."