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Discrete manufacturing





Encyclopedia results for Discrete manufacturing

  1. Discrete manufacturing

    Discrete manufacturing varies from Process manufacturing Process Manufacturing . In discrete manufacturing, the manufacturing floor works off orders to build something. Examples include toy s, medical equipment , computer s and car s. The resulting products are easily identifiable. In process manufacturing, the products are undifferentiated, for example oil , natural gas and salt . Discrete manufacturing is often characterized by individual or separate unit production . Units can be produced in low volume with very high complexity or high volumes of low complexity. Low volume high complexity production results in the need for an extremely flexible manufacturing system that can improve quality and time to market speed while cutting costs. High volume low complexity production puts high premiums on inventory control s, lead time s and reducing or limiting materials costs and waste. blockquote Industry Profile Discrete Manufacturing includes makers of consumer electronics, computers and accessories, appliances, and other household items, as well as big ticket consumer and commercial goods like cars and airplanes. Discrete Manufacturing companies make physical products that go directly to businesses and consumers, and assemblies that are used by other manufacturers. ref http www.elementk.com orgMain.asp?storyid 412&orgid 334 ref blockquote The processes deployed in discrete manufacturing are not continuous in nature. Each process can be individually started or stopped and can be run ... process or a set of continuous processes. Discrete manufacturing process allows for temporary stoppage of work in one area without affecting the entire unit, whereas continuous process manufacturing requires that entire production process be stopped. References Reflist DEFAULTSORT Discrete Manufacturing Category Manufacturing manufacturing stub ..., cables are made from different materials, at different places. This is different from Process manufacturing ...   more details



  1. Discrete

    Wiktionarypar discrete Wiktionarypar discreet Discrete in science is the opposite of continuity continuous something that is separate distinct individual. Discrete may refer to Discrete particle or quantum in physics, for example in quantum theory Discrete device , an electronic component with just one circuit element, either passive or active, other than an integrated circuit Discrete group , a group with the discrete topology Discrete mathematics , the study of structures without continuity Discrete optimization , a branch of optimization in applied mathematics and computer science Discrete probability distribution , a random variable that can be counted Discrete signal , a time series consisting of a sequence of quantities Discrete space , a simple example of a topological space Discrete time , non continuous time, which results in discrete time samples Discrete pitch music pitch , a pitch with a steady frequency, rather than an indiscrete gliding, glissando or portamento, pitch See also Autodesk Media and Entertainment Formerly known as Discreet . disambig cs Diskr tn eu Diskretu fr Discret lt Diskretumas nl Discreet pt Discreto sk Diskr tny ...   more details



  1. Manufacturing

    of Section 41 of a Boeing 787 Dreamliner Manufacturing is the use of machine s, tool s and labor to produce ... tech manufacturing high tech , but is most commonly applied to Industry industrial production ... may be used for manufacturing other, more complex products, such as aircraft , Major appliance household ... them to end users  the consumer s . Manufacturing takes turns under all types of economic system s. In a free market economy, manufacturing is usually directed toward the mass production ... economy , manufacturing is more frequently directed by the state to supply a centrally planned economy . In mixed market economies, manufacturing occurs under some degree of government regulation . Modern manufacturing includes all intermediate processes required for the production and integration ... metal steel manufacturers use the term fabrication instead. The manufacturing sector is closely ... . History and development In its earliest form, manufacturing was usually carried out by a single ... Revolution , most manufacturing occurred in rural areas, where household based manufacturing ... organized a number of manufacturing households into a single enterprise through the putting out system . Toll manufacturing is an arrangement whereby a first firm with specialized equipment processes raw materials or semi finished goods for a second firm. Manufacturing systems changes in methods of manufacturing Craft or guild Guild system Tropicana system English system of manufacturing American system of manufacturing Soviet collectivism in manufacturing Mass production Just In Time business Just In Time manufacturing Lean manufacturing Flexible manufacturing Mass customization Agile manufacturing Rapid manufacturing Prefabrication Packaging and labeling Ownership Fabrication metal Fabrication Publication Industrial policy main industrial policy Economics of manufacturing According to some economists, manufacturing is a wealth producing sector of an economy, whereas a Service ...   more details



  1. Discrete modelling

    Discrete modelling is the discrete space discrete analogue of continuous modelling . In discrete modelling, discrete formulae are fit to data . A common method in this form of modelling is to use recurrence relation s. Mathapplied stub Category Applied mathematics ...   more details



  1. Discrete circuit

    A discrete circuit is an electronic circuit built out of Discrete device discrete components , such as resistor s, transistor s, etc., instead of a single integrated circuit . Category Electronics terms electronics stub fr Circuit discret ...   more details



  1. Discrete group

    Groups In mathematics , a discrete group is a group mathematics group G equipped with the discrete topology . With this topology G becomes a topological group . A discrete subgroup of a topological group G is a subgroup H whose relative topology is the discrete one. For example, the integer s, Z , form a discrete subgroup of the real numbers reals , R with the standard metric space metric topology , but the rational number s, Q , do not. Any group can be given the discrete topology. Since every map from a discrete space is continuous topology continuous , the topological homomorphisms between discrete ... of categories isomorphism between the category of groups and the category of discrete groups. Discrete groups can therefore be identified with their underlying non topological groups. With this in mind, the term discrete group theory is used to refer to the study of groups without topological ... when a topological group or Lie group is usefully endowed with the discrete topology, against nature ... only look at a single point to determine if the topological group is discrete. In particular, a topological group is discrete if and only if the singleton mathematics singleton containing the identity is an open set . A discrete group is the same thing as a zero dimensional Lie group uncountable discrete groups are not second countable so authors who require Lie groups to satisfy this axiom do not regard these groups as Lie groups . The identity component of a discrete group is just the trivial ... Hausdorff topology on a finite set is the discrete one, a finite Hausdorff topological group must necessarily be discrete. It follows that every finite subgroup of a Hausdorff group is discrete. A discrete subgroup H of G is cocompact if there is a compact subset K of G such that HK G . Discrete ... groups . A discrete normal subgroup of a connected space connected group G necessarily lies in the center group theory center of G and is therefore abelian group abelian . Other properties every discrete ...   more details



  1. Discrete transform

    In signal processing , discrete transforms are integral transform mathematical transforms , often linear transform s, of signals between discrete domains, such as between discrete time and discrete frequency. ref cite book title Television receivers edition author Jerry C. Whitaker publisher McGraw Hill Professional year 2001 isbn 9780071380423 page 147 url http books.google.com books?id n3hxYt1u8vwC&pg PA147&dq 22discrete transforms are 22&hl en v onepage&q 22discrete 20transforms 20are 22&f false ref Many common integral transform s used in signal processing have their discrete counterparts. For example, for the Fourier transform the counterpart is the discrete Fourier transform . In addition to spectral analysis of signals, discrete transforms play important role in data compression , detection theory signal detection , digital filter ing and correlation analysis. ref cite book title Signal coding and processing edition 2nd author Graham Wade publisher Cambridge University Press year 1994 isbn 9780521423366 page 332 url http books.google.com books?id CJswCy7 W8YC&pg PA332&dq 22discrete transforms are 22&hl en v onepage&q 22discrete 20transforms 20are 22&f false ref Transforms between a discrete domain and a continuous domain are not discrete transforms. For example, the discrete time Fourier transform and the Z transform , from discrete time to continuous frequency, and the Fourier series , from continuous time to discrete frequency, are outside the class of discrete transforms. Classical signal processing deals with one dimensional discrete transforms. Other application areas, such as image processing , computer vision , high definition television , visual telephony, etc. make use of two dimensional and in general, multidimensional discrete transforms. See also List of transforms Discrete transforms References reflist Category Digital signal processing Category Discrete transforms ...   more details



  1. Discrete space

    Refimprove date March 2011 In topology , a discrete space is a particularly simple example of a topological ... in a certain sense. Definitions Given a set X the discrete topology on X is defined by letting every subset of X be open set open and hence also closed set closed , and X is a discrete topological space if it is equipped with its discrete topology the discrete uniform space uniformity on X is defined ... Entourage definition entourage , and X is a discrete uniform space if it is equipped with its discrete uniformity. the discrete metric space metric math rho math on X is defined by math rho x,y ... math . In this case math X, rho math is called a discrete metric space or a space of isolated point s . a set mathematics set S is discrete in a metric space math X,d math , for math S subseteq X math ... s. A set S is uniformly discrete in the metric space math X,d math , for math S subseteq X math ... space math E,d math is said to be uniformly discrete if there exists math r 0 math such that, for any ... a metric space can be discrete, without the metric being uniformly discrete for example the usual metric on the set 1, 1 2, 1 4, 1 8, ... of real numbers. Properties The underlying uniformity on a discrete metric space is the discrete uniformity, and the underlying topology on a discrete uniform space is the discrete topology. Thus, the different notions of discrete space are compatible with one another. On the other hand, the underlying topology of a non discrete uniform or metric space can be discrete an example is the metric space X   1 n   n   1,2,3,... with metric inherited from the real line and given by d x , y   x   &minus y . Obviously, this is not the discrete metric also, this space is not complete topology complete and hence not discrete as a uniform space. Nevertheless, it is discrete as a topological space. We say that X is topologically discrete but not uniformly discrete or metrically discrete . Additionally The topological dimension of a discrete ...   more details



  1. Discrete symmetry

    Refimprove date September 2007 A discrete symmetry is a symmetry that describes non continuous changes in a system. For example, a square possesses discrete rotational symmetry, as only rotations by multiples of right angles will preserve the square s original appearance. Discrete symmetries sometimes involve some type of swapping , these swaps usually being called reflections or interchanges . In theoretical physics , a discrete symmetry is a symmetry under the transformations of a discrete group e.g. a topological group with a discrete topology whose elements form a finite or a countable set . physics stub Category Theoretical physics fa ...   more details



  1. Discrete signal

    Image Sampled.signal.svg right thumb Discrete sampled signal Image Digital.signal.svg right thumb Digital signal Discrete here means constituting a separate entity and is distinct from discreet a discreet signal is one not intended to be seen by others. A discrete signal or discrete time signal is a time series consisting of a sequence of qualities. In other words, it is a type series that is a function over a Domain mathematics domain of discrete integral. Unlike a continuous signal continuous time signal , a discrete time signal is a function of a continuous argument however, it may have been obtained by sampling information theory sampling from a continuous time signal, and then each value in the sequence is called a sample signal sample . When a discrete time signal obtained by sampling is a sequence corresponding to uniformly spaced times, it has an associated sampling rate the sampling rate is not apparent in the data sequence, and so needs to be associated as a separate data item. Acquisition Discrete signals may have several origins, but can usually be classified into one of two groups ref Digital Signal Processing Prentice Hall Pages 11 12 ref By acquiring values of an analog ... taking a certain elevator every day. Digital signals Image Discrete cosine.svg thumb right 350px Discrete cosine waveform with frequency of 50 Hz and a sampling rate of 1000 samples sec, easily satisfying ... signal is a discrete time signal for which not only the time but also the amplitude has been made discrete in other words, its samples take on only values from a discrete set. The process of converting a continuous valued discrete time signal to a digital discrete valued discrete time signal is known ... by an approximation selected from a given discrete set for example by truncating or rounding, but much ... . This process loses information, and so discrete valued signals are only an approximation of the converted continuous valued discrete time signal, itself only an approximation of the original continuous ...   more details



  1. Discrete system

    A discrete system is a system with a countable number of states. Discrete systems may be contrasted with continuous systems, which may also be called analog systems. A final discrete system is often modeled with a directed graph mathematics graph and is analyzed for correctness and complexity according to computational theory . Because discrete systems have a countable number of states, they may be described in precise mathematical models . A computer is a finite state machine that may be viewed as a discrete system. Because computers are often used to model not only other discrete systems but continuous systems as well, methods have been developed to represent real world continuous systems as discrete systems. One such method involves sampling a continuous signal at discrete time intervals. See also Digital control Finite state machine Frequency spectrum Mathematical model Sample and hold Sample rate Sample time Z transform References cite book last Hopcroft first John E. coauthors Rajeev Motwani, Jeffrey D. Ullman title Introduction to Automata Theory, Languages, and Computation edition 2nd ed. publisher Addison Wesley location Reading Mass year 2001 isbn 0201441241 cite book last Benjamin C. Kuo title Digital Control Systems edition 2nd publisher Oxford University Press location USA year 1995 isbn 0195120647 Category Automata theory Category Models of computation Category Signal processing tech stub ...   more details



  1. Discrete category

    In mathematics , especially category theory , a discrete category is a category whose only morphism s are the identity morphism s. It is the simplest kind of category. Specifically a category C is discrete if hom sub C sub X , X id sub X sub for all objects X hom sub C sub X , Y for all objects X Y Since by axioms, there is always the identity morphism between the same object, the above is equivalent to saying hom sub C sub X , Y is 1 when X Y and 0 when X is not equal to Y . Clearly, any class set theory class of objects defines a discrete category when augmented with identity maps. Any subcategory of a discrete category is discrete. Also, a category is discrete if and only if all of its subcategories are full category full . The limit category theory limit of any functor from a discrete category into another category is called a product category theory product , while the colimit is called a coproduct . References Robert Goldblatt 1984 . Topoi, the Categorial Analysis of Logic Studies in logic and the foundations of mathematics, 98 . North Holland. Reprinted 2006 by Dover Publications, and available http historical.library.cornell.edu cgi bin cul.math docviewer?did Gold010&id 3 online at http www.mcs.vuw.ac.nz rob Robert Goldblatt s homepage . Category Category theory es Categor a discreta nl Discrete categorie ...   more details



  1. Discrete geometry

    object. Discrete geometry has large overlap with convex geometry and computational geometry , and is closely ... , discrete differential geometry , geometric graph theory , toric geometry , and combinatorial topology ... Kepler Kepler and Augustin Louis Cauchy Cauchy , modern discrete geometry has its origins ..., and Four colour theorem map colourings by Tait, Heawood, and Hadwiger. Topics in discrete ... Regular map graph theory Regular maps Lattice discrete subgroup Lattices and discrete group s Reflection group s Triangle group s Digital geometry Discrete differential geometry Geometric set partitioning and transversals See also Discrete and Computational Geometry Discrete mathematics Paul Erd s References cite book author Bezdek, Andr s Kuperberg, W. title Discrete geometry in honor of W ... 3 cite book author K roly Bezdek Bezdek, K roly title Classical Topics in Discrete Geometry publisher ... in discrete geometry publisher Springer location Berlin year 2005 isbn 0 387 23815 8 cite book last1 ..., Jacob E. and O Rourke, Joseph title Handbook of Discrete and Computational Geometry, Second Edition ... first Peter M. author link Peter M. Gruber title Convex and Discrete Geometry publisher Springer location Berlin year 2007 isbn 3 540 71132 5 cite book author Matou ek, Ji title Lectures on discrete ... Springer year 1997 isbn 3 540 61341 2 Mathematics footer Category Discrete geometry ar ...   more details



  1. Discrete optimization

    Citations missing date March 2008 Expert subject mathematics date April 2009 Discrete optimization is a branch of Optimization mathematics optimization in applied mathematics and computer science . As opposed to continuous optimization , the Variable mathematics variables used in the optimization mathematics mathematical program or some of them are restricted to assume only discrete mathematics discrete values, such as the integers. Two notable branches of discrete optimization are combinatorial optimization , which refers to problems on graph mathematics graph s, matroid s and other discrete structures integer programming These branches are closely intertwined however since many combinatorial optimization problems can be modeled as integer programs e.g. Shortest path Linear programming formulation shortest path and conversely, integer programs can often be given a combinatorial interpretation. Category Mathematical optimization mathapplied stub eo Diskreta optimumigo pl Programowanie ca kowitoliczbowe ru zh ...   more details



  1. Discrete spectrum

    Unreferenced date December 2009 For a mathematically rigorous point of view of discrete spectrum , see decomposition of spectrum functional analysis . In physics, an elementary and accurate explanation of a discrete spectrum is that it is an emission spectrum or absorption spectrum for which there is only an integer number or countable number of intensities. Atomic electronic absorption and emission spectrum are discrete, as contrasted with, for example, the emission spectrum of the sun, which is continuous. Discrete emission spectra of atoms are also referred to as emission line spectra, which show vertical lines at the frequencies or wavelengths of emission. To describe the difference between continuous and discrete spectra, we might refer to probability theory measuring weight versus throwing dice. Conceivably, our body weights can be represented by any number, 50.00000 kilograms, 59.99999  kg, 39.999591  kg, the number of decimals determined by our equipment, not by any fundamental ... of all possible single die tosses is discrete. One segment of the emission spectrum of atomic hydrogen ..., showing not discrete lines but continuous curves. File Solar Spectrum.png thumb Solar irradiance spectrum above atmosphere and at surface When we can visualize discrete spectra and continuous ..., for example, as used below. In physics , discrete spectrum is a finite set or a countable ... to have a discrete spectrum if its spectrum consists of isolated point s. If the spectrum of an operator is not discrete, we say that it is a continuous spectrum . The position operator position and the momentum ... systems the corresponding eigenstates are called bound state have a discrete quantized spectrum. This is a major ... of physical systems in which the Hamiltonian has a discrete spectrum. In the case of the Hydrogen atom, it has both continuous as well as discrete part of the spectrum the continuous part represents the ion ized atom. DEFAULTSORT Discrete Spectrum Category Spectral theory ...   more details



  1. Discrete mathematics

    For the mathematics journal Discrete Mathematics journal File 6n graf.svg thumb 250px Graph mathematics Graphs like this are among the objects studied by discrete mathematics, for their interesting graph ... in developing computer algorithm s. Discrete mathematics is the study of Mathematics mathematical Mathematical structure structures that are fundamentally discrete space discrete rather than ... , the objects studied in discrete mathematics such as integer s, Graph mathematics graphs , and statements in Mathematical logic logic ref Richard Johnsonbaugh, Discrete Mathematics , Prentice Hall ... title Discrete mathematics urlname DiscreteMathematics ref Discrete mathematics therefore excludes topics in continuous mathematics such as calculus and Mathematical analysis analysis . Discrete objects can often be enumeration enumerated by integers. More formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable set s ref Norman L. Biggs , Discrete ... agreed, definition of the term discrete mathematics. ref Brian Hopkins, Resources for Teaching Discrete Mathematics , Mathematical Association of America, 2008. ref Indeed, discrete mathematics ... notions. The set of objects studied in discrete mathematics can be finite or infinite. The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite sets, particularly those areas relevant to business. Research in discrete mathematics ... which operate in discrete steps and store data in discrete bits. Concepts and notations from discrete mathematics are useful in studying and describing objects and problems in branches of computer ... ideas from discrete mathematics to real world problems, such as in operations research . Although the main objects of study in discrete mathematics are discrete objects, analytic methods from continuous ... Penguin Books year 2002 isbn 0 691 11533 8 ref The history of discrete mathematics has involved a number ...   more details



  1. Discrete time

    about discrete time in signal processing discrete time in quantum physics quantum time Discrete time is the Classification of discontinuities discontinuity of a Function mathematics function s time domain that results from Sampling signal processing sampling a Variable mathematics variable at a finite interval. For example, consider a newspaper that reports the price of crude oil once every day at 6 00AM. The newspaper is described as sampling the cost at a frequency of once per 24 hours, and each number that s published is called a sample. The price is not Well definition defined by the newspaper in between the times that the numbers were published. Suppose it is necessary to know the price of the oil at 12 00PM on one particular day in the past one must base the estimate on any number of samples ... . In general, the sampling Frequency period in discrete time systems is constant, but in some cases nonuniform sampling is also used. Discrete time signals are typically written as a function ... described by a set of linear differential equation s, discrete time systems are described in terms of difference equation s. Most Monte Carlo Method Monte Carlo simulations utilize a discrete timing ... no such set of equations exists. Transform domain analysis of discrete time systems often makes use of the Z transform . System clock One of the fundamental concepts behind discrete time is an implied ... might imagine some atomic clock to be the de facto system clock. Time signals Uniformly sampled discrete ... linear operations performed on discrete time signals must be bandlimited to F sub s sub 2 epsilon . Wagner ... 1959 ref Usage when the phrase discrete time is used as a noun it should not be hyphenated when it is a compound adjective, as when one writes of a discrete time stochastic process , then, at least ... Bernoulli process Digital Discrete signal Discrete system Nyquist frequency System dynamics Notes reflist ... DEFAULTSORT Discrete Time Category Time Category Signal processing Category Time series analysis ...   more details



  1. Discrete valuation

    In mathematics , a discrete valuation is an integer valuation algebra valuation on a field mathematics field k , that is a function mathematics function math nu k to mathbb Z cup infty math satisfying the conditions math nu x cdot y nu x nu y math math nu x y geq min big nu x , nu y big math math nu x infty iff x 0. math Note that often the trivial valuation which takes on only the values math 0, infty math is explicitly excluded. A field with a non trivial discrete valuation is called a discrete valuation field . Discrete valuation rings and valuations on fields To every field with discrete valuation math nu math we can associate the subring math mathcal O k left x in k mid nu x geq 0 right math of math k math , which is a discrete valuation ring . Conversely, the valuation math nu A rightarrow Z cup infty math on a discrete valuation ring math A math can be extended to a valuation on the quotient field math text Quot A math giving a discrete valued field math k math , whose associated discrete valuation ring math mathcal O k math is just math A math . Examples For a fixed prime math p math for any element math x in mathbb Q math different from zero write math x p j frac a b math with math j, a,b in Z math such that math p math does not divide math a,b math , then math nu x j math is a valuation, called the p adic valuation. References Citation last Fesenko first Ivan B. last2 Vostokov first2 Sergei V. title Local fields and their extensions publisher American Mathematical Society location Providence, RI year 2002 series Translations of Mathematical Monographs volume 121 edition Second isbn 978 0 821 83259 2 mr 1915966 See also discrete valuation ring Valuation algebra Valuation ring DEFAULTSORT Discrete Valuation Category Commutative algebra Category Field theory pl Waluacja dyskretna ...   more details



  1. Discrete tomography

    File Discrete tomography.png thumb A discrete tomography reconstruction problem for two vertical and horizontal ... numbers. Discrete Tomography ref name ref4 Herman, G. T. and Kuba, A., Discrete Tomography Foundations ..., A., Advances in Discrete Tomography and Its Applications, Birkh user Boston, 2007 ref focuses on the problem ..., the tomographic inversion problem may be continuous or discrete. In continuous tomography both the domain and the range of the function are continuous and line integrals are used. In discrete tomography the domain of the function may be either discrete or continuous, and the range of the function ... for discrete tomography that only a few projections line sums are used. In this case, conventional techniques all fail. A special case of discrete tomography deals with the problem of the reconstruction of a binary image from a small number of projections. The name discrete tomography is due to Larry Shepp , who organized the first meeting devoted to this topic DIMACS Mini Symposium on Discrete Tomography, September 19, 1994, Rutgers University . Theory Discrete tomography has strong ..., Discrete tomography determination of finite sets by X rays, Trans. Amer. Math. Soc. 349 1997 , no. 6, 2271 2295. ref ref name ref9 L. Hajdu, R. Tijdeman, Algebraic aspects of discrete tomography ... m9.ma.tum.de Allgemeines AndreasAlpersPublications . ref discrete mathematics , ref name ref14 S. Brunetti ... ref name ref13 A. Alpers, P. Gritzmann, On Stability, Error Correction, and Noise Compensation in Discrete Tomography, SIAM Journal on Discrete Mathematics 20 1 , pp. 227 239, 2006 http www m9.ma.tum.de ..., D. Prangenberg, On the computational complexity of reconstructing lattice sets from their X rays. Discrete ... sets from their horizontal, vertical and diagonal X rays, Discrete Mathematics 241 1 3 65 78 2001 . ref In fact, a number of discrete tomography problems were first discussed as combinatorial problems ... being the two orthogonal projections of a discrete set. In the proof of his theorem, Ryser also described ...   more details



  1. Discrete measure

    math mu math on math X, Sigma math is discrete in respect to another measure math nu math on the same ... Publishers year 1999 pages isbn 0792356241 External links springer id d d033090 title Discrete ...   more details



  1. Discrete logarithm

    In mathematics , specifically in abstract algebra and its applications, discrete logarithms are group mathematics group theoretic analogues of ordinary logarithm s. In particular, an ordinary logarithm log sub a sub b is a solution of the equation a sup x sup     b over the Real Numbers real or complex numbers . Similarly, if g and h are elements of a Finite set finite cyclic group G then a solution x of the equation g sup x sup     h is called a discrete logarithm to the base g of h in the group G . Example Discrete logarithms are perhaps simplest to understand in the group Multiplicative group of integers modulo n Z sub p sub sup × sup . This is the set 1,  ,  p ... by p . This process is called discrete exponentiation . For example, consider Z sub 17 sub sup × ... . Discrete logarithm is just the inverse operation. For example, take the equation 3 sup k sup 13 ... g the congruence class of k modulo n . This function is a group isomorphism , called the discrete ... discrete logarithm records unsolved computer science Can the discrete logarithm be computed in polynomial time on a classical computer? No efficient classical algorithm for computing general discrete ... arxiv quant ph 9508027 title Polynomial Time Algorithms for Prime Factorization and Discrete Logarithms ... with integer factorization While the problem of computing discrete logarithms and the problem of integer .... Cryptography There exist groups for which computing discrete logarithms is apparently difficult ... of discrete exponentiation is not difficult it can be computed efficiently using exponentiation by squaring .... Popular choices for the group G in discrete logarithm cryptography are the cyclic groups Z sub ... . Newer cryptography applications use discrete logarithms in cyclic subgroups of elliptic curve ... edition 3rd isbn 978 1 58488 508 5 year 2006 Number theoretic algorithms DEFAULTSORT Discrete Logarithm ... discreto he nl Discrete Logaritme Probleem ja pl Logarytm ...   more details



  1. Discrete choice

    regression bar In economics , discrete choice problems involve choices between two or more discrete alternatives ... . On the other hand, discrete choice analysis examines situations in which the potential outcomes are discrete, such that the optimum is not characterized by standard first order conditions. Loosely, regression analysis examines how much while discrete choice analysis examines which. However, discrete ... for Local Telephone Service A Fully Discrete Model of Residential Call Patterns and Service Choice , Rand Journal of Economics, Vol. 18, No. 1, pp109 123 ref Discrete choice models are statistical procedures ... Model , Transportation Research, Vol. 12, pp. 167 174. ref among numerous other applications. Discrete ... Nobel prize in 2000 for his pioneering work in developing the theoretical basis for discrete choice. Discrete choice models statistically relate the choice made by each person to the attributes of the person ... Marketing researchers use discrete choice models to study Consumer theory consumer demand and to predict ... problems. ref name cars Transportation planners use discrete choice models to predict demand for planned .... MIT catalogue ref The first applications of discrete choice models were in transportation planning, and much of the most advanced research in discrete choice models is conducted by transportation researchers. Energy forecasters and policymakers use discrete choice models for households and firms ..., No. 4, pp. 647 657 ref Environmental studies utilize discrete choice models to examine the recreators ... economists use discrete choice models to examine participation in the work force, occupation choice, and choice of college and training programs. ref name college Common Features of Discrete Choice Models Discrete choice models take many forms, including Binary Logit, Binary Probit, Multinomial Logit ... set is the set of alternatives that are available to the person. For a discrete choice model .... This third requirement distinguishes discrete choice analysis from regression analysis in which ...   more details



  1. Process manufacturing

    manufacturing efficient and effective. Process manufacturing software Just like the products that they produce, discrete and processing manufacturing software have different focal points and solve different ..., software geared toward discrete, or even hybrid manufacturing will not work smoothly in a process manufacturing setting. Even process manufacturing software alone needs to be tailored to a particular ...Unreferenced date July 2007 Process manufacturing is the branch of manufacturing that is associated with formulas and manufacturing recipes, and can be contrasted with discrete manufacturing , which is concerned with bills of material and routing. The simplest and easiest way to grasp the definition of process manufacturing is to recognize that, once an output is produced by this process, it cannot be distilled back to its basic components. In other words, once you put it together, you cannot take ... extent, returned to stock. Process manufacturing is common in the food, beverage, chemical, pharmaceutical, consumer packaged goods, and biotechnology industries. In process manufacturing, the relevant .... This is more than a subtle difference in terminology the terms characterize distinct manufacturing approaches. Some process manufacturing vertical markets Food and beverages Paints and coatings Specialty ... liters. Another aspect of scalability is that it makes possible manufacturing based on how much ... manufacturing, if you want to make 1,000 gallons of soda and you only have 500 gallons of the required ... manufacturing you can make as much of a finished product as is specified in the formula for the smallest ... cartons, and shrink wrapping. In process manufacturing, the finished product is usually produced ... costs and chances for error. In process manufacturing, the formula for making the product and the recipe ... labels . But these chains do not have their own manufacturing plants they contract for these products ... must be evaluated relative to the business. Category Manufacturing fr Industrie de type process ...   more details



  1. Cellular manufacturing

    Cellular Manufacturing is a model for workplace design , and has become an integral part of lean manufacturing systems. Cellular Manufacturing is based upon the principals of Group Technology, which seeks .... In Functional Manufacturing similar machines are placed close together e.g. lathes, millers, drills ... in the same area and supports high levels of demarcation. In Cellular Manufacturing systems machines ... lead times. Cellular Manufacturing employs setup reduction and gives the workers the tools ... 0 07 005551 3 ref The goal of lean manufacturing is the aggressive minimisation of waste, called Muda Japanese term muda , to achieve maximum efficiency of resources. Cellular manufacturing, sometimes ... production line, and can manage processes, defects, scheduling, equipment maintenance, and other manufacturing issues more efficiently. History see also Lean manufacturing History of the Goal Cellular Manufacturing is the application of the principles of Group Technology in manufacturing. Group Technology ... offers what by definition constitutes an early example of cellular manufacturing. By 1808, using ... implementing Cellular manufacturing allows companies to achieve cost savings and quality improvements, especially when combined with the other aspects of lean manufacturing. Cell manufacturing systems ... packaging components made using injection molding. Design The goal of cellular manufacturing is having ... production process into discrete segments, and the assignment of each segment to a work cell, introduces ... part is designed for a particular work cell, or dedicated clusters of machines or manufacturing processes ... conventional department. After conversion, a cellular manufacturing layout usually requires less floor ... when implementing cellular manufacturing in a company is dividing the entire manufacturing system ... is modified or replaced to enable cell manufacturing. The costs of work stoppages during implementation can be considerable, and lean manufacturing literature recommend that implementation should ...   more details



  1. Manufacturing engineering

    Manufacturing engineering is a discipline of engineering dealing with different manufacturing practices ... the principles of physics and the results of manufacturing systems studies, such as the following multicol Craft or guild system Putting out system English system of manufacturing American system of manufacturing Soviet collectivism in manufacturing Mass production multicol break Computer integrated manufacturing Computer aided technologies in manufacturing Just in time business Just in time manufacturing Lean manufacturing Flexible manufacturing Mass customization multicol break Agile manufacturing Rapid manufacturing Prefabrication Ownership Fabrication metal Fabrication Publication multicol end Image FANUC 6 axis welding robots.jpg thumb A set of six axis robots used for welding . Manufacturing ... broad area which includes the design and development of products. The manufacturing engineering ... management . Manufacturing engineers success or failure directly impacts the advancement of technology ... costs and improved production speed. History The history of manufacturing engineering can be traced ... the material through the various manufacturing processes. File Ford assembly line 1913.jpg thumb ... workers than earlier methods of manufacturing, such as cottage industries or the putting out ... efficiency and less waste. This experience formed the basis for the later studies of manufacturing ... as the predominant form of manufacturing institution. Henry Ford further revolutionized the factory concept and thus manufacturing engineering in the early 20th century with the innovation of mass ... manufacturing engineering studies include all intermediate processes required for the production and integration of a product s components. Main Semiconductor manufacturing Some industries, such as semiconductor ... for food production Main Automation Automation is used in different processes of manufacturing such as machining and welding. Automated manufacturing refers to the application of automation to produce ...   more details




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