Goal

A goal is a desired result that a person or a system envisions, plans and commits to achieve: a personal or organizational desired end-point in some sort of assumed development. Many people endeavor to reach goals within a finite time by setting deadlines.

It is roughly similar to purpose or aim, the anticipated result which guides reaction, or an end, which is an object, either a physical object or an abstract object, that has intrinsic value.

Goal setting

Goal setting may involve establishing specific, measurable, achievable, relevant, and time-bounded (SMART) objectives, but not all researchers agree that these SMART criteria are necessary.

Research on goal setting by Edwin A. Locke and his colleagues suggests that goal setting can serve as an effective tool for making progress when it ensures that group members have a clear awareness of what each person must do to achieve a shared objective. On a personal level, the process of setting goals allows individuals to specify and then work toward their own objectives (such as financial or career-based goals). Goal-setting comprises a major component of personal development and management.

Goal (ice hockey)

In ice hockey, a goal is scored when the puck completely crosses the goal line between the two goal posts and below the goal crossbar. A goal awards one point to the team attacking the goal scored upon, regardless of which team the player who actually deflected the puck into the goal belongs to (see also own goal). Typically, a player on the team attempting to score shoots the puck with his/her stick towards the goal net opening, and a player on the opposing team called a goaltender tries to block the shot to prevent a goal from being scored against his/her team.

The term goal may also refer to the structure in which goals are scored. The ice hockey goal is rectangular in shape; the front frame of the goal is made of steel tube painted red (or an other color depending on the league) and consists of two vertical goalposts and a horizontal crossbar. A net is attached to the back of the frame to catch pucks that enter the goal and also to prevent pucks from entering it from behind. The entire goal is considered an inbounds area of the playing surface, and it is legal to play the puck behind the goal. Under NHL rules, the opening of the goal is 72 inches (180 cm) wide by 48 inches (120 cm) tall, and the footprint of the goal is 44 inches (110 cm) deep.

Goal (2007 Hindi film)

Dhan Dhana Dhan Goal (English: Get Set Goal) is a 2007 Bollywood sport film. It was released on 29 November 2007, produced by Ronnie Screwvala and directed by Vivek Agnihotri for UTV Motion Pictures. The film stars John Abraham, Bipasha Basu, Arshad Warsi and Boman Irani. The film's soundtrack is composed by Pritam with lyrics by Javed Akhtar. Dhan Dhana Dhan Goal is a contemporary fictional story of the South Asian community in the UK, told through the prism of professional football. The film received positive reviews though the film was only moderately successful at the box-office and was declared "Below average" by Box Office India. The film was premiered in the Tous Les Cinemas du Monde (World Cinema) section of 2007 Cannes Film Festival.

Cast

Degree

Degree may refer to:

As a unit of measurement

Field extension

In abstract algebra, field extensions are the main object of study in field theory. The general idea is to start with a base field and construct in some manner a larger field that contains the base field and satisfies additional properties. For instance, the set Q(√2) = {a + b√2 | a, b ∈ Q} is the smallest extension of Q that includes every real solution to the equation x² = 2.

Definitions

Let L be a field. A subfield of L is a subset K of L that is closed under the field operations of L and under taking inverses in L. In other words, K is a field with respect to the field operations inherited from L. The larger field L is then said to be an extension field of K. To simplify notation and terminology, one says that L / K (read as "L over K") is a field extension to signify that L is an extension field of K.

If L is an extension of F which is in turn an extension of K, then F is said to be an intermediate field (or intermediate extension or subextension) of the field extension L / K.

Degree of an algebraic variety

The degree of an algebraic variety in mathematics is defined, for a projective variety V, by an elementary use of intersection theory.

Definition

For V embedded in a projective space Pⁿ and defined over some algebraically closed field K, the degree d of V is the number of points of intersection of V, defined over K, with a linear subspace L in general position, when

Here dim(V) is the dimension of V, and the codimension of L will be equal to that dimension. The degree d is an extrinsic quantity, and not intrinsic as a property of V. For example the projective line has an (essentially unique) embedding of degree n in Pⁿ.

Properties

The degree of a hypersurface F = 0 is the same as the total degree of the homogeneous polynomial F defining it (granted, in case F has repeated factors, that intersection theory is used to count intersections with multiplicity, as in Bézout's theorem).

Other approaches

For a more sophisticated approach, the linear system of divisors defining the embedding of V can be related to the line bundle or invertible sheaf defining the embedding by its space of sections. The tautological line bundle on Pⁿ pulls back to V. The degree determines the first Chern class. The degree can also be computed in the cohomology ring of Pⁿ, or Chow ring, with the class of a hyperplane intersecting the class of V an appropriate number of times.