Form

Form is the shape, visual appearance, constitution or configuration of an object. In a wider sense, the form is the way something is or happens.

Form may also refer to the following:

Mathematics

One-form

In linear algebra, a one-form on a vector space is the same as a linear functional on the space. The usage of one-form in this context usually distinguishes the one-forms from higher-degree multilinear functionals on the space. For details, see linear functional.

In differential geometry, a one-form on a differentiable manifold is a smooth section of the cotangent bundle. Equivalently, a one-form on a manifold M is a smooth mapping of the total space of the tangent bundle of M to whose restriction to each fibre is a linear functional on the tangent space. Symbolically,

where α_x is linear.

Often one-forms are described locally, particularly in local coordinates. In a local coordinate system, a one-form is a linear combination of the differentials of the coordinates:

where the f_i are smooth functions. From this perspective, a one-form has a covariant transformation law on passing from one coordinate system to another. Thus a one-form is an order 1 covariant tensor field.

Examples

Loan

In finance, a loan is the lending of money from one individual, organization or entity to another individual, organization or entity. A loan is a debt provided by an entity (organization or individual) to another entity at an interest rate, and evidenced by a promissory note which specifies, among other things, the principal amount of money borrowed, the interest rate the lender is charging, and date of repayment. A loan entails the reallocation of the subject asset(s) for a period of time, between the lender and the borrower.

In a loan, the borrower initially receives or borrows an amount of money, called the principal, from the lender, and is obligated to pay back or repay an equal amount of money to the lender at a later time.

The loan is generally provided at a cost, referred to as interest on the debt, which provides an incentive for the lender to engage in the loan. In a legal loan, each of these obligations and restrictions is enforced by contract, which can also place the borrower under additional restrictions known as loan covenants. Although this article focuses on monetary loans, in practice any material object might be lent.

Generic top-level domain

Generic top-level domains (gTLDs) are one of the categories of top-level domains (TLDs) maintained by the Internet Assigned Numbers Authority (IANA) for use in the Domain Name System of the Internet. A top-level domain is the last label of every fully qualified domain name. They are called generic for historic reasons; initially, they were contrasted with country-specific TLDs in RFC 920.

The core group of generic top-level domains consists of the com, info, net, and org domains. In addition, the domains biz, name, and pro are also considered generic; however, these are designated as restricted, because registrations within them require proof of eligibility within the guidelines set for each.

Historically, the group of generic top-level domains included domains, created in the early development of the domain name system, that are now sponsored by designated agencies or organizations and are restricted to specific types of registrants. Thus, domains edu, gov, int, and mil are now considered sponsored top-level domains, much like the themed top-level domains (e.g., jobs). The entire group of domains that do not have a geographic or country designation (see country-code top-level domain) is still often referred to by the term generic TLDs.

Loan (sports)

In sports, a loan involves a particular player being allowed to temporarily play for a club other than the one he is currently contracted to. Loan deals may last from a few weeks to all season-long and can also be for a few seasons.

Players may be loaned out to other clubs for several reasons. Most commonly, young players will be loaned to a club in a lower league in order to gain valuable first team experience. In this instance, the parent club will continue to pay the player's wages in full. Some clubs put a formal arrangement in place with a feeder club for this purpose, such as Manchester United and Royal Antwerp,Arsenal and Beveren, or Chelsea and Vitesse. In other leagues such as Italy's Serie A, some smaller clubs have a reputation as a "farm club" and regularly take players, especially younger players, on loan from larger clubs.

A club may take a player on loan if they are short on transfer funds but can still pay wages, or as temporary cover for injuries or suspensions. The parent club might demand a fee and/or that the loaning club pays some or all of the player's wages during the loan period. A club might seek to loan out a squad player to make a saving on his wages, or a first team player to regain match fitness following an injury.