Representation (mathematics) In mathematics, a representation is a very general relationship that expresses similarities (or equivalences) between mathematical objects or structures. Roughly speaking, a collection Y of mathematical objects may be said to represent another collection X of objects, provided that the properties and relationships ...
noun the act of representing; standing in for someone or some group and speaking with authority in their behalf see more noun a presentation to the mind in the form of an idea or image synonyms: internal representation, mental representation see more noun an activity that stands as an equivalent of something or results in an equivalent see more
V = A, and ρ: A→ EndAis defined as follows: ρ(a) is the operator of left multiplication by a, so that ρ(a)b= ab(the usual product). This representation is called theregularrepresentation of A. Similarly, one can equip Awith a structure of a right A-module by setting ρ(a)b:= ba. 3. A= k. Then a representation of Ais simply a vector space over k. 4.
More formally, a "representation" means a homomorphism from the group to the automorphism group of an object. If the object is a vector space we have a linear representation. Some people use realization for the general notion and reserve the term representation for the special case of linear representations.
representation noun uk / ˌreprɪzenˈteɪʃ ə n / us [ U ] people who will speak and act for you in an official situation, or the fact of someone speaking and acting for you: More American workers are demanding union representation. These employees need legal representation to protect them against administrative abuse. [ U ]
representation rise showing up turning up unveiling art nouncreation meant to communicate or appeal to senses or mind abstraction carving description design illustration imitation modeling molding painting pictorialization portrayal representation sculpting shaping simulation sketching symbolization behalf nounpersonal interest account advantage
a : a statement made to influence the opinions or actions of others Her representation of the situation was very confusing. He was accused of making false representations. b chiefly British : a formal and official complaint about something Our ambassador has made representations to their government.
A representation of a group G is a group action of G on a vector space V by invertible linear maps. For example, the group of two elements Z_2={0,1} has a representation phi by phi(0)v=v and phi(1)v=-v. A representation is a group homomorphism phi:G->GL(V). Most groups have many different representations, possibly on different vector spaces.
representation, in government, method or process of enabling the citizenry, or some of them, to participate in the shaping of legislation and governmental policy through deputies chosen by them.
In the mathematical field of representation theory, a Lie algebra representation or representation of a Lie algebra is a way of writing a Lie algebra as a set of matrices (or endomorphisms of a vector space) in such a way that the Lie bracket is given by the commutator.
: the act or action of representing : the state of being represented: such as a : representationalism sense 2 b (1) : the action or fact of one person standing for another so as to have the rights and obligations of the person represented (2) : the substitution of an individual or class in place of a person (such as a child for a deceased parent) c
Representations of finite groups 1 Basic definitions Representations.Arepresentationof a groupGover a fieldkis ak-vector spaceVtogetherwith an action ofGonVby linear maps. Equivalently, it is a homomorphism fromGto GL(V).This is also the same as a representation of the group algebrak[G], in other words, ak[G]module.
the expression or designation by some term, character, symbol, or the like. action or speech on behalf of a person, group, business house, state, or the like by an agent, deputy, or representative. the state or fact of being so represented: to demand representation on a board of directors.
Representation of a Function- Visual. This is basically the graphical representation of functions. This way of representation is very easy to understand. The input values are marked along the x-axis. For any input value, the corresponding output value is the vertical displacement from the x-axis. For e.g. at x = a, the output is equal to f(a).
Representation can serve as opportunities for minoritized people to find community support and validation. For example, recent studies have found that social media has given LGBTQ young people...
The adjacency list representation for an undirected graph is just an adjacency list for a directed graph, where every undirected edge connecting A to B is represented as two directed edges: -one from A->B -one from B->A e.g. if you have a graph with undirected edges connecting 0 to 1 and 1 to 2 your adjacency list would be: [ [1] //edge 0->1
Examples of representation in a sentence, how to use it. 98 examples: They contrast with syntactic representations, which are structured in terms of…
Visual representation definition: If a group or person has representation in a parliament or on a committee , someone in... | Meaning, pronunciation, translations and examples
The issue of representation has a great deal to do with the power dynamics in the publishing industry. 9. Children's publishing, in both the U.S. and the U.K., is dominated by White, middle class women at lower levels, and men at higher levels of management, which inevitably affects perceptions of audience.
Analysis of representation. Representation always involves a certain degree of abstraction—that is, the taking away of one characteristic or more of the original. Even a fairly realistic painting of a person, for example, lacks some features that characterize actual persons: a painting is two-dimensional, whereas every actual person is three-dimensional; the surface of a painting is paint ...
CSL Lighting Announces New Representation Across Four States. May 15, 2023. CSL Lighting (CSL), a division of Hudson Valley Lighting Group (HVLG) and leading manufacturer of high-performance, architecturally-driven lighting solutions for commercial and residential spaces, is pleased to announce that it has partnered with three new agencies to ...
Within the entertainment industry, it has already been celebrated as a banner year for Asian representation in Hollywood. The slate includes four nominations for performances by Asian actors, the highest number in the awards ceremony's history. Michelle Yeoh, Ke Huy Quan, and Stephanie Hsu were all nominated for Everything Everywhere All at ...
A whole new generation of little girls is falling in love with The Little Mermaid and that's thanks to Halle Bailey. The 23-year-old stars as the titular, headstrong princess in Disney's new live ...
The prestigious 2023 edition of the Cannes Film Festival is just hours away. Filmmakers from the world over will be premiering films and announcing new projects at the festival. Each year, Indian cinema has its fair share of representation. While red-carpet appearances attract the most attention, some Indian films too get selected for screening at the festival under various categories.
NASA astronaut Jonny Kim speaks out about representation in space For AANHPI month, ABC News' Ashan Singh spoke with Artemis team member Jonny Kim about diversity in space exploration and being a ...
The Latino Donor Collaborative is a nonprofit that works to collect data on the impact of Latinos in television and in film. According to their 2022 report, less than 4 percent of lead and/or supporting roles go to Latino actors, and less than 3 percent of shows had a lead Latino actor in 2022.. Ana Valdez is the president and CEO of the Latino Donor Collaborative.
0:05. 1:42. When Staunton City Council makes its annual pilgrimage to Betsy Bell Mountain as part of Thursday afternoon's work session, it will be fulfilling a long-time agreement that created the public space. The agenda for the May 11 work session and meeting spells it out: The deed conveying Betsy Bell Mountain to the City of Staunton for ...
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