Representation Definition Math

In mathematics a representation is a very general relationship that expresses similarities or equivalences between mathematical objects or structures.

Representation definition math. Kids definition of representation. In essence a representation makes an abstract algebraic object more concrete by describing its elements by matrices and their algebraic operations for example. Something that represents as. One as a picture or symbol that is a sign or portrayal of something else.

More specifically given a set π of. Representation synonyms representation pronunciation representation translation english dictionary definition of representation. A picture figure statue etc. The act of portrayal picturing or other rendering in visible form.

Roughly speaking a collection y of mathematical objects may be said to represent another collection x of objects provided that the properties and relationships existing among the representing objects yi conform in some consistent way to those existing among the corresponding represented objects xi. The production or a performance of a play or the like as on the stage. Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces and studies modules over these abstract algebraic structures. As most commonly interpreted in education mathematical representations are visible or tangible productions such as diagrams number lines graphs arrangements of concrete objects or manipulatives physical models mathematical expressions formulas and equations or depictions on the screen of a computer or calculator that encode stand for or embody mathematical ideas or relationships.

Representation comes from the latin repraesentare meaning bring before exhibit a representation is an exhibit whether it comes in the form of legal guidance or in the form of artistic expression. The act of doing something on behalf of another or others. The state of doing something on behalf of another or others as in a legislative body. The act of representation has to do with replacing or acting on behalf of an original.

A mental image or idea so presented.