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63-427: A system architecture can consist of system components and the sub-systems developed, that will work together to implement the overall system. There have been efforts to formalize languages to describe system architecture, collectively these are called architecture description languages (ADLs). Various organizations can define systems architecture in different ways, including: One can think of system architecture as

126-577: A PhD in June 1913, when he was only 19 years old, for a dissertation on mathematical logic (a comparison of the work of Ernst Schröder with that of Alfred North Whitehead and Bertrand Russell ), supervised by Karl Schmidt, the essential results of which were published as Wiener (1914). He was one of the youngest to achieve such a feat. In that dissertation, he was the first to state publicly that ordered pairs can be defined in terms of elementary set theory . Hence relations can be defined by set theory, thus

189-482: A body of water vapor) in steam engines , in regard to the system's ability to do work when heat is applied to it. The working substance could be put in contact with either a boiler, a cold reservoir (a stream of cold water), or a piston (on which the working body could do work by pushing on it). In 1850, the German physicist Rudolf Clausius generalized this picture to include the concept of the surroundings and began to use

252-601: A car, a coffeemaker , or Earth . A closed system exchanges energy, but not matter, with its environment; like a computer or the project Biosphere 2 . An isolated system exchanges neither matter nor energy with its environment. A theoretical example of such a system is the Universe . An open system can also be viewed as a bounded transformation process, that is, a black box that is a process or collection of processes that transform inputs into outputs. Inputs are consumed; outputs are produced. The concept of input and output here

315-585: A great interest in the mathematical theory of Brownian motion (named after Robert Brown ) proving many results now widely known, such as the non-differentiability of the paths. Consequently, the one-dimensional version of Brownian motion was named the Wiener process . It is the best known of the Lévy processes , càdlàg stochastic processes with stationary statistically independent increments , and occurs frequently in pure and applied mathematics, physics and economics (e.g. on

378-545: A heart attack. Wiener and his wife are buried at the Vittum Hill Cemetery in Sandwich, New Hampshire . Information is information, not matter or energy. Wiener was an early studier of stochastic and mathematical noise processes, contributing work relevant to electronic engineering , electronic communication , and control systems . It was Wiener's idea to model a signal as if it were an exotic type of noise, giving it

441-593: A journalist for the Boston Herald , where he wrote a feature story on the poor labor conditions for mill workers in Lawrence, Massachusetts , but he was fired soon afterwards for his reluctance to write favorable articles about a politician the newspaper's owners sought to promote. Although Wiener eventually became a staunch pacifist, he eagerly contributed to the war effort in World War I. In 1916, with America's entry into

504-601: A key piece of which is the Hermite-Laguerre expansion. This was developed in detail in Nonlinear Problems in Random Theory . Wiener applied Hermite-Laguerre expansion to nonlinear system identification and control. Specifically, a nonlinear system can be identified by inputting a white noise process and computing the Hermite-Laguerre expansion of its output. The identified system can then be controlled. Wiener took

567-444: A major defect: they must be premised on one or more fundamental assumptions upon which additional knowledge is built. This is in strict alignment with Gödel's incompleteness theorems . The Artificial system can be defined as a "consistent formalized system which contains elementary arithmetic". These fundamental assumptions are not inherently deleterious, but they must by definition be assumed as true, and if they are actually false then

630-557: A participant of the Macy conferences . In 1926 Wiener married Margaret Engemann, an assistant professor of modern languages at Juniata College . They had two daughters. Wiener admitted in his autobiography I Am a Mathematician: The Later Life of a Prodigy to abusing benzadrine throughout his life without being fully aware of its dangers. Wiener died in March 1964, aged 69, in Stockholm , from

693-723: A personal library from which the young Norbert benefited greatly. Leo also had ample ability in mathematics and tutored his son in the subject until he left home. In his autobiography, Norbert described his father as calm and patient, unless he (Norbert) failed to give a correct answer, at which his father would lose his temper. In "The Theory of Ignorance", a paper he wrote at the age of 10, he disputed "man’s presumption in declaring that his knowledge has no limits", arguing that all human knowledge "is based on an approximation", and acknowledging "the impossibility of being certain of anything." He graduated from Ayer High School in 1906 at 11 years of age, and Wiener then entered Tufts College . He

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756-695: A set of representations of an existing (or future) system. These representations initially describe a general, high-level functional organization, and are progressively refined to more detailed and concrete descriptions. System architecture conveys the informational content of the elements consisting of a system, the relationships among those elements, and the rules governing those relationships. The architectural components and set of relationships between these components that an architecture description may consist of hardware, software , documentation, facilities, manual procedures, or roles played by organizations or people. A system architecture primarily concentrates on

819-402: A sound mathematical basis. The example often given to students is that English text could be modeled as a random string of letters and spaces, where each letter of the alphabet (and the space) has an assigned probability. But Wiener dealt with analog signals, where such a simple example doesn't exist. Wiener's early work on information theory and signal processing was limited to analog signals, and

882-582: A system understanding its kind is crucial, and defined natural and designed , i. e. artificial, systems. For example, natural systems include subatomic systems, living systems , the Solar System , galaxies , and the Universe , while artificial systems include man-made physical structures, hybrids of natural and artificial systems, and conceptual knowledge. The human elements of organization and functions are emphasized with their relevant abstract systems and representations. Artificial systems inherently have

945-456: Is George Boole 's Boolean operators. Other examples relate specifically to philosophy, biology, or cognitive science. Maslow's hierarchy of needs applies psychology to biology by using pure logic. Numerous psychologists, including Carl Jung and Sigmund Freud developed systems that logically organize psychological domains, such as personalities, motivations, or intellect and desire. In 1988, military strategist, John A. Warden III introduced

1008-507: Is a group of interacting or interrelated elements that act according to a set of rules to form a unified whole. A system, surrounded and influenced by its environment , is described by its boundaries, structure and purpose and is expressed in its functioning. Systems are the subjects of study of systems theory and other systems sciences . Systems have several common properties and characteristics, including structure, function(s), behavior and interconnectivity. The term system comes from

1071-534: Is a hardware system, software system , or combination, which has components as its structure and observable inter-process communications as its behavior. There are systems of counting, as with Roman numerals , and various systems for filing papers, or catalogs, and various library systems, of which the Dewey Decimal Classification is an example. This still fits with the definition of components that are connected together (in this case to facilitate

1134-488: Is credited as being one of the first to theorize that all intelligent behavior was the result of feedback mechanisms, that could possibly be simulated by machines and was an important early step towards the development of modern artificial intelligence . Wiener was born in Columbia, Missouri , the first child of Leo Wiener and Bertha Kahn, Jewish immigrants from Lithuania and Germany , respectively. Through his father, he

1197-448: Is very broad. For example, an output of a passenger ship is the movement of people from departure to destination. A system comprises multiple views . Human-made systems may have such views as concept, analysis , design , implementation , deployment, structure, behavior, input data, and output data views. A system model is required to describe and represent all these views. A systems architecture, using one single integrated model for

1260-513: The Cold War . He was a strong advocate of automation to improve the standard of living, and to end economic underdevelopment. His ideas became influential in India , whose government he advised during the 1950s. After the war, Wiener became increasingly concerned with what he believed was political interference with scientific research, and the militarization of science. His article "A Scientist Rebels" from

1323-640: The Five Ring System model in his book, The Air Campaign , contending that any complex system could be broken down into five concentric rings. Each ring—leadership, processes, infrastructure, population and action units—could be used to isolate key elements of any system that needed change. The model was used effectively by Air Force planners in the Iran–Iraq War . In the late 1990s, Warden applied his model to business strategy. Norbert Wiener Norbert Wiener (November 26, 1894 – March 18, 1964)

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1386-528: The Khinchin – Kolmogorov theorem ), states that the power spectral density of a wide-sense-stationary random process is the Fourier transform of the corresponding autocorrelation function. An abstract Wiener space is a mathematical object in measure theory , used to construct a "decent", strictly positive and locally finite measure on an infinite-dimensional vector space. Wiener's original construction only applied to

1449-519: The Latin word systēma , in turn from Greek σύστημα systēma : "whole concept made of several parts or members, system", literary "composition". In the 19th century, the French physicist Nicolas Léonard Sadi Carnot , who studied thermodynamics , pioneered the development of the concept of a system in the natural sciences . In 1824, he studied the system which he called the working substance (typically

1512-559: The Tauberian theorems . In 1926, Wiener's parents arranged his marriage to a German immigrant, Margaret Engemann; they had two daughters. His sister, Constance (1898–1973), married mathematician Philip Franklin . Their daughter, Janet, Wiener's niece, married mathematician Václav E. Beneš . Norbert Wiener's sister, Bertha (1902–1995), married the botanist Carroll William Dodge . Many tales, perhaps apocryphal, were told of Norbert Wiener at MIT, especially concerning his absent-mindedness. It

1575-515: The University of Göttingen . At Göttingen he also attended three courses with Edmund Husserl "one on Kant's ethical writings, one on the principles of Ethics, and the seminary on Phenomenology." (Letter to Russell, c. June or July, 1914). During 1915–16, he taught philosophy at Harvard, then was an engineer for General Electric and wrote for the Encyclopedia Americana . Wiener was briefly

1638-407: The Wiener equation , named after Wiener, assumes the current velocity of a fluid particle fluctuates randomly. For signal processing, the Wiener filter is a filter proposed by Wiener during the 1940s and published in 1942 as a classified document. Its purpose is to reduce the amount of noise present in a signal by comparison with an estimate of the desired noiseless signal. Wiener developed

1701-489: The Wiener filter . (The now-standard practice of modeling an information source as a random process—in other words, as a variety of noise—is due to Wiener.) Initially his anti-aircraft work led him to write, with Arturo Rosenblueth and Julian Bigelow , the 1943 article 'Behavior, Purpose and Teleology', which was published in Philosophy of Science . Subsequently his anti-aircraft work led him to formulate cybernetics . After

1764-503: The January 1947 issue of The Atlantic Monthly urged scientists to consider the ethical implications of their work. After the war, he refused to accept any government funding or to work on military projects. The way Wiener's beliefs concerning nuclear weapons and the Cold War contrasted with those of von Neumann is the major theme of the book John Von Neumann and Norbert Wiener . Wiener was

1827-661: The ability to interact with local and remote operators. A subsystem description is a system object that contains information defining the characteristics of an operating environment controlled by the system. The data tests are performed to verify the correctness of the individual subsystem configuration data (e.g. MA Length, Static Speed Profile, …) and they are related to a single subsystem in order to test its Specific Application (SA). There are many kinds of systems that can be analyzed both quantitatively and qualitatively . For example, in an analysis of urban systems dynamics , A . W. Steiss defined five intersecting systems, including

1890-462: The allocation and scarcity of resources. The international sphere of interacting states is described and analyzed in systems terms by several international relations scholars, most notably in the neorealist school . This systems mode of international analysis has however been challenged by other schools of international relations thought, most notably the constructivist school , which argues that an over-large focus on systems and structures can obscure

1953-442: The breach. Patrick D. Wall speculated that after the publication of Cybernetics , Wiener asked McCulloch for some physiological facts about the brain that he could then theorize. McCulloch told him "a mixture of what was known to be true and what McCulloch thought should be". Wiener then theorized it, went to a physiology congress, and was shot down. Wiener was convinced that McCulloch had set him up. Wiener later helped develop

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2016-410: The description of multiple views, is a kind of system model. A subsystem is a set of elements, which is a system itself, and a component of a larger system. The IBM Mainframe Job Entry Subsystem family ( JES1 , JES2 , JES3 , and their HASP / ASP predecessors) are examples. The main elements they have in common are the components that handle input, scheduling, spooling and output; they also have

2079-399: The distinction between them is often elusive. An economic system is a social institution which deals with the production , distribution and consumption of goods and services in a particular society . The economic system is composed of people , institutions and their relationships to resources, such as the convention of property . It addresses the problems of economics , like

2142-610: The filter at the Radiation Laboratory at MIT to predict the position of German bombers from radar reflections. What emerged was a mathematical theory of great generality—a theory for predicting the future as best one can on the basis of incomplete information about the past. It was a statistical theory that included applications that did not, strictly speaking, predict the future, but only tried to remove noise. It made use of Wiener's earlier work on integral equations and Fourier transforms . Wiener studied polynomial chaos ,

2205-404: The flow of information). System can also refer to a framework, aka platform , be it software or hardware, designed to allow software programs to run. A flaw in a component or system can cause the component itself or an entire system to fail to perform its required function, e.g., an incorrect statement or data definition . In engineering and physics , a physical system is the portion of

2268-465: The internal interfaces among the system's components or subsystems , and on the interface(s) between the system and its external environment, especially the user . (In the specific case of computer systems, this latter, special, interface is known as the computer human interface , AKA human computer interface, or HCI ; formerly called the man-machine interface.) One can contrast a system architecture with system architecture engineering (SAE) -

2331-424: The method and discipline for effectively implementing the architecture of a system: Systems architecture depends heavily on practices and techniques which were developed over thousands of years in many other fields, perhaps the most important being civil architecture. Several types of systems architectures (underlain by the same fundamental principles) have been identified as follows: System A system

2394-464: The notion of organizations as systems in his book The Fifth Discipline . Organizational theorists such as Margaret Wheatley have also described the workings of organizational systems in new metaphoric contexts, such as quantum physics , chaos theory , and the self-organization of systems . There is also such a thing as a logical system . An obvious example is the calculus developed simultaneously by Leibniz and Isaac Newton . Another example

2457-440: The originator of cybernetics , the science of communication as it relates to living things and machines, with implications for engineering , systems control , computer science , biology , neuroscience , philosophy , and the organization of society . His work heavily influenced computer pioneer John von Neumann , information theorist Claude Shannon , anthropologists Margaret Mead and Gregory Bateson , and others. Wiener

2520-400: The physical subsystem and behavioral system. For sociological models influenced by systems theory, Kenneth D. Bailey defined systems in terms of conceptual , concrete , and abstract systems, either isolated , closed , or open . Walter F. Buckley defined systems in sociology in terms of mechanical , organic , and process models . Bela H. Banathy cautioned that for any inquiry into

2583-522: The remainder of his career. For many years his photograph was prominently displayed in the Infinite Corridor and often used in giving directions, but by 2017 it had been removed. In 1926, Wiener returned to Europe as a Guggenheim scholar . He spent most of his time at Göttingen and with Hardy at Cambridge, working on Brownian motion , the Fourier integral , Dirichlet's problem , harmonic analysis, and

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2646-405: The role of individual agency in social interactions. Systems-based models of international relations also underlie the vision of the international sphere held by the liberal institutionalist school of thought, which places more emphasis on systems generated by rules and interaction governance, particularly economic governance. In computer science and information science , an information system

2709-625: The run-up to World War II (1939–45) Wiener became a member of the China Aid Society and the Emergency Committee in Aid of Displaced German Scholars. He was interested in placing scholars such as Yuk-Wing Lee and Antoni Zygmund who had lost their positions. During World War II , his work on the automatic aiming and firing of anti-aircraft guns caused Wiener to investigate information theory independently of Claude Shannon and to invent

2772-569: The space of real-valued continuous paths on the unit interval, known as classical Wiener space . Leonard Gross provided the generalization to the case of a general separable Banach space . The notion of a Banach space itself was discovered independently by both Wiener and Stefan Banach at around the same time. His work with Mary Brazier is referred to in Avis DeVoto 's As Always, Julia . A flagship named after him appears briefly in Citizen of

2835-438: The stock-market). Wiener's tauberian theorem , a 1932 result of Wiener, developed Tauberian theorems in summability theory , on the face of it a chapter of real analysis , by showing that most of the known results could be encapsulated in a principle taken from harmonic analysis . In its present formulation, the theorem of Wiener does not have any obvious association with Tauberian theorems, which deal with infinite series ;

2898-1207: The system is not as structurally integral as is assumed (i.e. it is evident that if the initial expression is false, then the artificial system is not a "consistent formalized system"). For example, in geometry this is very evident in the postulation of theorems and extrapolation of proofs from them. George J. Klir maintained that no "classification is complete and perfect for all purposes", and defined systems as abstract, real, and conceptual physical systems , bounded and unbounded systems , discrete to continuous, pulse to hybrid systems , etc. The interactions between systems and their environments are categorized as relatively closed and open systems . Important distinctions have also been made between hard systems—–technical in nature and amenable to methods such as systems engineering , operations research, and quantitative systems analysis—and soft systems that involve people and organizations, commonly associated with concepts developed by Peter Checkland and Brian Wilson through soft systems methodology (SSM) involving methods such as action research and emphasis of participatory designs. Where hard systems might be identified as more scientific ,

2961-552: The system. There are natural and human-made (designed) systems. Natural systems may not have an apparent objective but their behavior can be interpreted as purposeful by an observer. Human-made systems are made with various purposes that are achieved by some action performed by or with the system. The parts of a system must be related; they must be "designed to work as a coherent entity"—otherwise they would be two or more distinct systems. Most systems are open systems , exchanging matter and energy with their respective surroundings; like

3024-462: The term working body when referring to the system. The biologist Ludwig von Bertalanffy became one of the pioneers of the general systems theory . In 1945 he introduced models, principles, and laws that apply to generalized systems or their subclasses, irrespective of their particular kind, the nature of their component elements, and the relation or 'forces' between them. In the late 1940s and mid-50s, Norbert Wiener and Ross Ashby pioneered

3087-497: The theories of cybernetics, robotics , computer control, and automation . He discussed the modeling of neurons with John von Neumann , and in a letter from November 1946 von Neumann presented his thoughts in advance of a meeting with Wiener. Wiener always shared his theories and findings with other researchers, and credited the contributions of others. These included Soviet researchers and their findings. Wiener's acquaintance with them caused him to be regarded with suspicion during

3150-459: The theory of relations does not require any axioms or primitive notions distinct from those of set theory. In 1921, Kazimierz Kuratowski proposed a simplification of Wiener's definition of ordered pairs, and that simplification has been in common use ever since. It is (x, y) = {{x}, {x, y}}. In 1914, Wiener traveled to Europe, to be taught by Bertrand Russell and G. H. Hardy at Cambridge University , and by David Hilbert and Edmund Landau at

3213-409: The translation from results formulated for integrals, or using the language of functional analysis and Banach algebras , is however a relatively routine process. The Paley–Wiener theorem relates growth properties of entire functions on C and Fourier transformation of Schwartz distributions of compact support. The Wiener–Khinchin theorem , (also known as the Wiener – Khintchine theorem and

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3276-1003: The universe that is being studied (of which a thermodynamic system is one major example). Engineering also has the concept of a system referring to all of the parts and interactions between parts of a complex project. Systems engineering is the branch of engineering that studies how this type of system should be planned, designed, implemented, built, and maintained. Social and cognitive sciences recognize systems in models of individual humans and in human societies. They include human brain functions and mental processes as well as normative ethics systems and social and cultural behavioral patterns. In management science , operations research and organizational development , human organizations are viewed as management systems of interacting components such as subsystems or system aggregates, which are carriers of numerous complex business processes ( organizational behaviors ) and organizational structures. Organizational development theorist Peter Senge developed

3339-463: The use of mathematics to study systems of control and communication , calling it cybernetics . In the 1960s, Marshall McLuhan applied general systems theory in an approach that he called a field approach and figure/ground analysis , to the study of media theory . In the 1980s, John Henry Holland , Murray Gell-Mann and others coined the term complex adaptive system at the interdisciplinary Santa Fe Institute . Systems theory views

3402-585: The war drawing closer, Wiener attended a training camp for potential military officers but failed to earn a commission. One year later Wiener again tried to join the military, but the government again rejected him due to his poor eyesight. In the summer of 1918, Oswald Veblen invited Wiener to work on ballistics at the Aberdeen Proving Ground in Maryland. Living and working with other mathematicians strengthened his interest in mathematics. However, Wiener

3465-669: The war, his fame helped MIT to recruit a research team in cognitive science , composed of researchers in neuropsychology and the mathematics and biophysics of the nervous system, including Warren Sturgis McCulloch and Walter Pitts . These men later made pioneering contributions to computer science and artificial intelligence . Soon after the group was formed, Wiener suddenly ended all contact with its members, mystifying his colleagues. This emotionally traumatized Pitts, and led to his career decline. In their biography of Wiener, Conway and Siegelman suggest that Wiener's wife Margaret, who detested McCulloch's bohemian lifestyle, engineered

3528-401: The world as a complex system of interconnected parts. One scopes a system by defining its boundary ; this means choosing which entities are inside the system and which are outside—part of the environment . One can make simplified representations ( models ) of the system in order to understand it and to predict or impact its future behavior. These models may define the structure and behavior of

3591-471: Was an American computer scientist , mathematician and philosopher . He became a professor of mathematics at the Massachusetts Institute of Technology ( MIT ). A child prodigy , Wiener later became an early researcher in stochastic and mathematical noise processes, contributing work relevant to electronic engineering , electronic communication , and control systems . Wiener is considered

3654-498: Was awarded a BA in mathematics in 1909 at the age of 14, whereupon he began graduate studies of zoology at Harvard . In 1910 he transferred to Cornell to study philosophy. He graduated in 1911 at 17 years of age. The next year he returned to Harvard, while still continuing his philosophical studies. Back at Harvard, Wiener became influenced by Edward Vermilye Huntington , whose mathematical interests ranged from axiomatic foundations to engineering problems. Harvard awarded Wiener

3717-523: Was discharged from the military in February 1919. Wiener was unable to secure a permanent position at Harvard, a situation he attributed largely to anti-Semitism at the university and in particular the antipathy of Harvard mathematician G. D. Birkhoff . He was also rejected for a position at the University of Melbourne . At W. F. Osgood's suggestion, Wiener was hired as an instructor of mathematics at MIT , where, after his promotion to professor, he spent

3780-511: Was largely forgotten with the development of the digital theory. Wiener is one of the key originators of cybernetics , a formalization of the notion of feedback , with many implications for engineering , systems control , computer science , biology , philosophy , and the organization of society . His work with cybernetics influenced Gregory Bateson and Margaret Mead , and through them, anthropology , sociology , and education . A simple mathematical representation of Brownian motion ,

3843-418: Was related to Maimonides , the famous rabbi , philosopher and physician from Al Andalus , as well as to Akiva Eger , chief rabbi of Posen from 1815 to 1837. Leo had educated Norbert at home until 1903, employing teaching methods of his own invention, except for a brief interlude when Norbert was seven years of age. Earning his living teaching German and Slavic languages, Leo read widely and accumulated

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3906-446: Was said that he returned home once to find his house empty. He inquired of a neighborhood girl the reason, and she said that the family had moved elsewhere that day. He thanked her for the information and she replied, "It's ok, Daddy, Mommy sent me to get you". Asked about the story, Wiener's daughter reportedly asserted that "he never forgot who his children were! The rest of it, however, was pretty close to what actually happened…" In

3969-480: Was still eager to serve in uniform and decided to make one more attempt to enlist, this time as a common soldier. Wiener wrote in a letter to his parents, "I should consider myself a pretty cheap kind of a swine if I were willing to be an officer but unwilling to be a soldier." This time the army accepted Wiener into its ranks and assigned him, by coincidence, to a unit stationed at Aberdeen, Maryland. World War I ended just days after Wiener's return to Aberdeen and Wiener

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