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field, in algebrafield, in algebra, set of elements (usually numbers) that may be combined under the operations of addition and multiplication so that it constitutes an additive group group, in mathematics, system consisting of a set of elements and a binary operation a+b defined for combining two elements such that the following requirements are satisfied: (1) The set is closed under the operation; i.e...... Click the link for more information. , the nonzero elements form a multiplicative group, and multiplication distributes over addition. The set of real numbers (see number number, entity describing the magnitude or position of a mathematical object or extensions of these concepts. The Natural NumbersCardinal numbers describe the size of a collection of objects; two such collections have the same (cardinal) number of ..... Click the link for more information. ) and the set of complex numbers are both examples of fields. field, in physicsfield, in physics, region throughout which a force may be exerted; examples are the gravitational, electric, and magnetic fields that surround, respectively, masses, electric charges, and magnets. The field concept was developed by M. Faraday based on his investigation of the lines of force that appear to leave and return to a magnet at its poles (see flux, magnetic flux, magnetic, in physics, term used to describe the total amount of magnetic field in a given region. The term flux was chosen because the power of a magnet seems to "flow" out of the magnet at one pole and return at the other pole in a circulating pattern,..... Click the link for more information. ). Fields are used to describe all cases where two bodies separated in space exert a force force, commonly, a "push" or "pull," more properly defined in physics as a quantity that changes the motion, size, or shape of a body. Force is a vector quantity, having both magnitude and direction. ..... Click the link for more information. on each other. The alternative to postulating a field is to assume that physical influences can be transmitted through empty space without any material or physical agency. Such action-at-a-distance, especially if it occurs instantaneously, violates both common sense and certain modern theories, notably relativity relativity, physical theory, introduced by Albert Einstein, that discards the concept of absolute motion and instead treats only relative motion between two systems or frames of reference. ..... Click the link for more information. , which posits that nothing can travel faster than light. In a field description, rather than body A directly exerting a force on body B, body A (the source) creates a field in every direction around it and body B (the detector) experiences the field that exists at its position. If a change occurs at the source, its effect propagates outward through the field at a constant speed and is felt at the detector only after a certain delay in time. The field is thus a kind of "middleman" for transmitting forces. Each type of force (electric, magnetic, nuclear, or gravitational) has its own appropriate field; a body experiences the force due to a given field only if the body itself it also a source of that kind of field. The reciprocity implied by Newton's third law of motion motion, the change of position of one body with respect to another. The rate of change is the speed of the body. If the direction of motion is also given, then the velocity of the body is determined; velocity is a vector quantity, having both magnitude and direction, ..... Click the link for more information. (equal action and reaction) is thus preserved. If two bodies exert a mutual force, they possess potential energy energy, in physics, the ability or capacity to do work or to produce change. Forms of energy include heat , light , sound , electricity , and chemical energy. ..... Click the link for more information. that depends on their relative positions; it is natural to regard this energy as residing in the field the bodies create. fieldIn physics, a region in which each point is affected by a force. Objects fall to the ground because they are affected by the force of earth's gravitational field (see gravitation). A paper clip, placed in the magnetic field surrounding a magnet, is pulled toward the magnet, and two like magnetic poles repel each other when one is placed in the other's magnetic field. An electric field surrounds an electric charge; when another charged particle is placed in that region, it experiences an electric force that either attracts or repels it. The strength of a field, or the forces in a particular region, can be represented by field lines; the closer the lines, the stronger the forces in that part of the field. See also electromagnetic field. fieldA physical unit of data that is one or more bytes in size. A collection of fields make up a record. A field also defines a unit of data on a source document, screen or report. Examples of fields are NAME, ADDRESS, QUANTITY and AMOUNT DUE.
field 1. Sport a limited or marked off area, usually of mown grass, on which any of various sports, athletic competitions, etc., are held 2. Earth Sciences an area that is rich in minerals or other natural resources 3. Hunting the mounted followers that hunt with a pack of hounds 4. Sport a. all the runners in a particular race or competitors in a competition b. the runners in a race or competitors in a competition excluding the favourite 5. Cricket the fielders collectively, esp with regard to their positions 6. the area within which an object may be observed with a telescope, microscope, etc. 7. Physics a. See field of force b. a region of space that is a vector field c. a region of space under the influence of some scalar quantity, such as temperature 8. Maths a set of entities subject to two binary operations, addition and multiplication, such that the set is a commutative group under addition and the set, minus the zero, is a commutative group under multiplication and multiplication is distributive over addition 9. Maths logic the set of elements that are either arguments or values of a function; the union of its domain and range 10. Computing a. a set of one or more characters comprising a unit of information b. a predetermined section of a record 11. in the field Military in an area in which operations are in progress Field John. 1782--1837, Irish composer and pianist, lived in Russia from 1803: invented the nocturne
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Cohen led the field after the Turin Games short program, then had two major mistakes in the first minute of the free skate. Social service groups which include family services, daycare, shelters, services for youth, the elderly, or persons with disabilities led the field in the rate of economic activity growing by 23. It is my great privilege to assume responsibilities as the Chief of Field Artillery for our Army and follow many distinguished Chiefs who so ably have led the Field Artillery. |
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