PROSE Modeling Language
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PROSE Modeling Language
PROSE was the mathematical 4GL virtual machine that established the holistic modeling paradigm known as Synthetic Calculus (AKA MetaCalculus). A successor to the SLANG/CUE simulation and optimization language developed at TRW Systems, it was introduced in 1974 on Control Data supercomputers. It was the first commercial languageR.N. Nilsen and W.J. Karplus, "Continuous-System Simulation Languages: State of the Art Survey" Annales de l'Association Internationale pour le Calcul analogique - No 1, Jan, 1974
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Virtual Machine
In computing, a virtual machine (VM) is the virtualization/emulation of a computer system. Virtual machines are based on computer architectures and provide functionality of a physical computer. Their implementations may involve specialized hardware, software, or a combination. Virtual machines differ and are organized by their function, shown here: * '' System virtual machines'' (also termed full virtualization VMs) provide a substitute for a real machine. They provide functionality needed to execute entire operating systems. A hypervisor uses native execution to share and manage hardware, allowing for multiple environments which are isolated from one another, yet exist on the same physical machine. Modern hypervisors use hardware-assisted virtualization, virtualization-specific hardware, primarily from the host CPUs. * Process virtual machines are designed to execute computer programs in a platform-independent environment. Some virtual machine emulators, such as QEMU and video ...
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System Dynamics
System dynamics (SD) is an approach to understanding the nonlinear behaviour of complex systems over time using stocks, flows, internal feedback loops, table functions and time delays. Overview System dynamics is a methodology and mathematical modeling technique to frame, understand, and discuss complex issues and problems. Originally developed in the 1950s to help corporate managers improve their understanding of industrial processes, SD is currently being used throughout the public and private sector for policy analysis and design. Convenient graphical user interface (GUI) system dynamics software developed into user friendly versions by the 1990s and have been applied to diverse systems. SD models solve the problem of simultaneity (mutual causation) by updating all variables in small time increments with positive and negative feedbacks and time delays structuring the interactions and control. The best known SD model is probably the 1972 ''The Limits to Growth''. This model f ...
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PROSE Wing Design Optimization
Prose is a form of written or spoken language that follows the natural flow of speech, uses a language's ordinary grammatical structures, or follows the conventions of formal academic writing. It differs from most traditional poetry, where the form consists of verse (writing in lines) based on rhythmic metre or rhyme. The word "prose" first appears in English in the 14th century. It is derived from the Old French ''prose'', which in turn originates in the Latin expression ''prosa oratio'' (literally, straightforward or direct speech). Works of philosophy, history, economics, etc., journalism, and most fiction (an exception is the verse novel), are examples of works written in prose. Developments in twentieth century literature, including free verse, concrete poetry, and prose poetry, have led to the idea of poetry and prose as two ends on a spectrum rather than firmly distinct from each other. The British poet T. S. Eliot noted, whereas "the distinction between verse and prose ...
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Dynamic Programming
Dynamic programming is both a mathematical optimization method and a computer programming method. The method was developed by Richard Bellman in the 1950s and has found applications in numerous fields, from aerospace engineering to economics. In both contexts it refers to simplifying a complicated problem by breaking it down into simpler sub-problems in a recursive manner. While some decision problems cannot be taken apart this way, decisions that span several points in time do often break apart recursively. Likewise, in computer science, if a problem can be solved optimally by breaking it into sub-problems and then recursively finding the optimal solutions to the sub-problems, then it is said to have ''optimal substructure''. If sub-problems can be nested recursively inside larger problems, so that dynamic programming methods are applicable, then there is a relation between the value of the larger problem and the values of the sub-problems.Cormen, T. H.; Leiserson, C. E.; Rives ...
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Automatic Differentiation
In mathematics and computer algebra, automatic differentiation (AD), also called algorithmic differentiation, computational differentiation, auto-differentiation, or simply autodiff, is a set of techniques to evaluate the derivative of a function specified by a computer program. AD exploits the fact that every computer program, no matter how complicated, executes a sequence of elementary arithmetic operations (addition, subtraction, multiplication, division, etc.) and elementary functions (exp, log, sin, cos, etc.). By applying the chain rule repeatedly to these operations, derivatives of arbitrary order can be computed automatically, accurately to working precision, and using at most a small constant factor more arithmetic operations than the original program. Automatic differentiation is distinct from symbolic differentiation and numerical differentiation. Symbolic differentiation faces the difficulty of converting a computer program into a single mathematical expression and ...
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Holarchy
A holarchy is a connection between holons, where a ''holon'' is both a part and a whole. The term was coined in Arthur Koestler's 1967 book ''The Ghost in the Machine''. Holarchy is commonly referred to as a form of hierarchy; however, hierarchy, by its definition, has both an absolute top and bottom. But this is not logically possible in a holon, as it is both a whole and a part. The "hierarchical relationship" between holons at different levels can just as meaningfully be described with terms like "in and out", as they can with "up and down" or "left and right"; perhaps more generally, one can say that holons at one level are "made up of, or make up" the holons or parts of another level. This can be demonstrated in the holarchic relationship (subatomic particles ↔ atoms ↔ molecules ↔ macromolecules ↔ organelles ↔ cells ↔ tissues ↔ organs ↔ organisms ↔ communities ↔ societies) where each holon is a "level" of organization, and all are ultimately descriptive of ...
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