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Rose Tree
In computing, a rose tree is a term for the value of a tree data structure with a variable and unbounded number of branches per node. The term is mostly used in the functional programming community, e.g., in the context of the Bird–Meertens formalism. Apart from the multi-branching property, the most essential characteristic of rose trees is the coincidence of bisimilarity with identity: two distinct rose trees are never bisimilar. Naming The name "rose tree" was coined by Lambert Meertens to evoke the similarly named, and similarly structured, common rhododendron. We shall call such trees ''rose trees'', a literal translation of ''rhododendron'' (Greek = rose, = tree), because of resemblance to the habitus of this shrub, except that the latter does not grow upside-down on the Northern hemisphere. Recursive definition Well-founded rose trees can be defined by a recursive construction of entities of the following types: A ''base entity'' is an element of a predefined ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Computing
Computing is any goal-oriented activity requiring, benefiting from, or creating computer, computing machinery. It includes the study and experimentation of algorithmic processes, and the development of both computer hardware, hardware and software. Computing has scientific, engineering, mathematical, technological, and social aspects. Major computing disciplines include computer engineering, computer science, cybersecurity, data science, information systems, information technology, and software engineering. The term ''computing'' is also synonymous with counting and calculation, calculating. In earlier times, it was used in reference to the action performed by Mechanical computer, mechanical computing machines, and before that, to Computer (occupation), human computers. History The history of computing is longer than the history of computing hardware and includes the history of methods intended for pen and paper (or for chalk and slate) with or without the aid of tables. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Quiver (mathematics)
In mathematics, especially representation theory, a quiver is another name for a multidigraph; that is, a directed graph where Loop (graph theory), loops and multiple arrows between two vertex (graph theory), vertices are allowed. Quivers are commonly used in representation theory: a representation of a quiver assigns a vector space to each vertex of the quiver and a linear map to each arrow . In category theory, a quiver can be understood to be the underlying structure of a category (mathematics), category, but without composition or a designation of identity morphisms. That is, there is a forgetful functor from (the category of categories) to (the category of multidigraphs). Its left adjoint is a free functor which, from a quiver, makes the corresponding free category. Definition A quiver consists of: * The set of vertices of * The set of edges of * Two functions: giving the ''start'' or ''source'' of the edge, and another function, givin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Terminological Controversy
Terminology is a group of specialized words and respective meanings in a particular field, and also the study of such terms and their use; the latter meaning is also known as terminology science. A ''term'' is a word, compound word, or multi-word expression that in specific contexts is given specific meanings—these may deviate from the meanings the same words have in other contexts and in everyday language. Terminology is a discipline that studies, among other things, the development of such terms and their interrelationships within a specialized domain. Terminology differs from lexicography, as it involves the study of concepts, conceptual systems and their labels (''terms''), whereas lexicography studies words and their meanings. Terminology is a discipline that systematically studies the "labelling or designating of concepts" particular to one or more subject fields or domains of human activity. It does this through the research and analysis of terms in context for the purp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
General Definition
A general officer is an officer of high rank in the armies, and in some nations' air and space forces, marines or naval infantry. In some usages, the term "general officer" refers to a rank above colonel."general, adj. and n.". OED Online. March 2021. Oxford University Press. https://www.oed.com/view/Entry/77489?rskey=dCKrg4&result=1 (accessed May 11, 2021) The adjective ''general'' had been affixed to officer designations since the late medieval period to indicate relative superiority or an extended jurisdiction. French Revolutionary system Arab system Other variations Other nomenclatures for general officers include the titles and ranks: * Adjutant general * Commandant-general * Inspector general * General-in-chief * General of the Air Force (USAF only) * General of the Armies of the United States (of America), a title created for General John J. Pershing, and subsequently granted posthumously to George Washington and Ulysses S. Grant * (" general admiral") ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Mealy Machine
In the theory of computation, a Mealy machine is a finite-state machine whose output values are determined both by its current state and the current inputs. This is in contrast to a Moore machine, whose output values are determined solely by its current state. A Mealy machine is a deterministic finite-state transducer: for each state and input, at most one transition is possible. History The Mealy machine is named after George H. Mealy, who presented the concept in a 1955 paper, "A Method for Synthesizing Sequential Circuits". Formal definition A Mealy machine is a 6-tuple (S, S_0, \Sigma, \Lambda, T, G) consisting of the following: * a finite set of states S * a start state (also called initial state) S_0 which is an element of S * a finite set called the input alphabet \Sigma * a finite set called the output alphabet \Lambda * a transition function T : S \times \Sigma \rightarrow S mapping pairs of a state and an input symbol to the corresponding next state. * an output funct ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Examples
Example may refer to: * ''exempli gratia'' (e.g.), usually read out in English as "for example" * .example, reserved as a domain name that may not be installed as a top-level domain of the Internet ** example.com, example.net, example.org, and example.edu: second-level domain names reserved for use in documentation as examples * HMS ''Example'' (P165), an Archer-class patrol and training vessel of the Royal Navy Arts * ''The Example'', a 1634 play by James Shirley * ''The Example'' (comics), a 2009 graphic novel by Tom Taylor and Colin Wilson * Example (musician), the British dance musician Elliot John Gleave (born 1982) * ''Example'' (album), a 1995 album by American rock band For Squirrels See also * Exemplar (other), a prototype or model which others can use to understand a topic better * Exemplum An exemplum (Latin for "example", exempla, ''exempli gratia'' = "for example", abbr.: ''e.g.'') is a moral anecdote, brief or extended, real or fictitious, us ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Moore Machine
In the theory of computation, a Moore machine is a finite-state machine whose current output values are determined only by its current state. This is in contrast to a Mealy machine, whose output values are determined both by its current state and by the values of its inputs. Like other finite state machines, in Moore machines, the input typically influences the next state. Thus the input may indirectly influence subsequent outputs, but not the current or immediate output. The Moore machine is named after Edward F. Moore, who presented the concept in a 1956 paper, “ Gedanken-experiments on Sequential Machines.” Formal definition A Moore machine can be defined as a 6-tuple (S, s_0, \Sigma, O, \delta, G) consisting of the following: * A finite set of states S * A start state (also called initial state) s_0 which is an element of S * A finite set called the input alphabet \Sigma * A finite set called the output alphabet O * A transition function \delta : S \times \Sigma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Tree (automata Theory)
In automata theory, a tree is a particular way of representing a tree structure as sequences of natural numbers. For example, each node of the tree is a word over set of natural numbers (\mathbb), which helps this definition to be used in automata theory. A ''tree'' is a set ''T'' ⊆ \mathbb* such that if ''t''.''c'' ∈ ''T'', with ''t'' ∈ \mathbb* and ''c'' ∈ \mathbb, then ''t'' ∈ ''T'' and ''t''.''c''1 ∈ ''T'' for all 0 ≤ ''c''1 < ''c''. The elements of ''T'' are known as ''nodes'', and the empty word ε is the (single) ''root'' of ''T''. For every ''t'' ∈ ''T'', the element ''t''.''c'' ∈ ''T'' is a ''successor'' of ''t'' in ''direction'' ''c''. The number of successors of ''t'' is called its ''degree'' or ''arity'', and represented as ''d''(''t''). A node is a ''leaf'' if it has no successors. If every node of a tree has finitely many successors, then it is called a ''finitely'', otherwise an ''infinitely branching'' tree. A ''path'' π is a subset of ''T'' suc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
