unreferenced date August 2009 A constellation diagram is a representation of a signal modulated by a digital modulation scheme such as quadrature amplitude modulation or phase shift keying . It displays the signal as a two dimensional scatter diagram in the complex plane at Symbol data symbol sampling instants. In a more abstract sense, it represents the possible symbols that may be selected by a given modulation scheme as points in the complex plane . Measured constellation diagrams can be used to recognize the type of interference and distortion in a signal. Image 8PSK Gray Coded.svg thumb right A constellation diagram for 8 Phase shift keying PSK . By representing a transmitted symbol as a complex number and modulating a cosine and sine carrier signal with the real and imaginary parts respectively , the symbol can be sent with two carriers on the same frequency. They are often referred to as quadrature carriers . A coherent detector is able to independently demodulate these carriers ... in a scatter diagram produces the constellation diagram. The points on a constellation diagram are called ... . Also a diagram of the ideal positions, signal space diagram , in a modulation scheme can be called a constellation diagram. In this sense the constellation is not a scatter diagram but a representation ... right A constellation diagram for rectangular 16 Quadrature amplitude modulation QAM . Upon reception ... on the constellation diagram which is closest in a Euclidean distance sense to that of the received .... The constellation diagram allows a straightforward visualization of this process &mdash imagine ... quality, some types of corruption are very evident in the constellation diagram. For example Gaussian ... causes the corner points to move towards the center A constellation diagram visualises phenomena ... timing jitter in one dimension of modulation. See also Eye diagram Modulation error ratio Error vector ... fr Diagramme de constellation ja pl Diagram konstelacji ru zh ... more details
Image FRET Jablonski diagram.jpg 400 px thumb A Jablonski diagram representing F rster resonance energy transfer FRET A Jablonski diagram is a diagram that illustrates the electronic state s of a molecule and the transitions between them. The states are arranged vertically by energy and grouped horizontally by term symbol spin multiplicity . Conical intersection Nonradiative transitions are indicated by straight arrows and Photoluminescence radiative transitions by squiggly arrows. The vibrational ground states of each electronic state are indicated with thick lines, the higher vibrational states with thinner lines. ref Elumalai, P., Atkins, P., de Paula, J. Atkins Physical Chemistry , Oxford University Press, 2002. ISBN 0 19 879285 9 ref The diagram is named after the Polish physicist Aleksander Jab o ski . ref Jab o ski, Aleksander Efficiency of Anti Stokes Fluorescence in Dyes Nature 1933, volume 131, pp. 839 840. doi 10.1038 131839b0 ref Transitions Radiative transitions involve the absorption, if the transition occurs to a higher energy level, or the emission, in the reverse case, of a photon . Nonradiative transitions arise through several different mechanisms, all differently labeled in the diagram. Relaxation of the excited state to its lowest vibrational level is labeled Vibrational energy relaxation vr in the diagram. This process involves the dissipation of energy from the molecule to its surroundings, and thus it cannot occur for isolated molecules. A second type of nonradiative ... Franck Condon principle Grotrian diagram References references External links commonscat Jablonski Diagram http micro.magnet.fsu.edu primer java jablonski lightandcolor index.html Florida State University Jablonski diagram primer http web.uvic.ca ail techniques Jablonski.jpg University of Victoria Jablonski diagram http micro.magnet.fsu.edu primer java jablonski lightandcolor http docs.google.com ... di Jablonski hu Jablonski diagram nl Jablonski diagram ja pl Diagram Jab o skiego pt Diagrama ... more details
Infobox musical artist name Diagram of the Heart image DiagramoftheHeart.jpg caption Kye Sones and Anthony Gorry from Diagram of the Heart image size landscape Yes background group or band origin London , England , United Kingdom UK genre Dance music Dance , Pop music pop , electronica years active 2009 2011 label Sony Music website URL diagramoftheheart.co.uk current members Anthony Gorry br Kye Sones br Diagram of the Heart is euphoric electronic pop duo Anthony Gorry and Kye Sones from London, England. The group s first single Dead Famous set dance floors on fire, leading Q Magazine to brand them one of the Hottest New Bands this year, as well as Pop Justice ref http www.popjustice.com index.php?option com content&task view&id 4651&Itemid 9 Pop Justice Song of the Day Pop Justice, April 2010 ref and Clash magazine ref http www.clashmusic.com feature track of the day 87 diagram of the heart Clash Music Song of the Day Clash Music, April 2010 ref naming the single Song of the Day . Diagram of the Heart s debut album is still yet to be released on Sony Records and the band s second single Did I? was released on 17 October 2010. Throughout September and October Diagram of the Heart accompanied BBC Radio 1 DJ, Jo Whiley , on her freshers tour, throughout which they previewed a cover of British band The XX s Islands. ref http www.youtube.com watch?v PhAxxFbcpSk Diagram of the Heart XX Cover Diagram of the Heart cover the XX s Islands, October 2010 ref Diagram of the Heart played ... in 2010 V, Wireless, T in the Park, T4 on the Beach and Bestival Diagram of the heart are no more 25 10 2011 The Diagram Heart has stopped beating It just gets to a point where you have to down tools ... 07 08 diagram of the heart at ibiza rocks the photos Live at Ibiza Rocks http www.vfestival.com artists artist diagram of the heart V Festival http www.deconstructionrecords.co.uk artists diagram ... Week Performance DEFAULTSORT Diagram Of The Heart Category English electronic music groups ... more details
nofootnotes date January 2012 File Stuve diagram.gif thumb right Example of a St ve diagram. A St ve diagram is one of four thermodynamic diagrams commonly used in weather analysis and forecasting. Usually, temperature and dew point data from radiosonde s are plotted on these diagrams to allow calculations of convective stability or Convective Available Potential Energy . Wind barbs are often plotted at the side of the diagram to indicate the winds at different heights. The St ve diagram was developed circa 1927 by Georg St ve 1888 1935 and quickly gained widespread acceptance in the United States. It has a simplicity in that it uses straight lines for the three primary variables pressure , temperature and potential temperature . In doing so, however, it sacrifices the equal area requirements from the original Clausius Clapeyron relation that are satisfied in two of the other two diagrams Skew T and Tephigram . For practical purposes, this is not important. In the St ve diagram, isotherms are straight and vertical, isobars are straight and horizontal and dry adiabats are also straight and have a 45 degree inclination to the left while moist adiabats are curved. See also Thermodynamic diagrams Skew T log P diagram Emagram Tephigram References Bibliography M K Yau and R.R. Rogers, Short Course in Cloud Physics, Third Edition , published by Butterworth Heinemann, January 1, 1989, 304 pages. EAN 9780750632157 ISBN 0750632151 J.V. Iribarne and W.L. Godson, Atmospheric Thermodynamics, Second Edition , published by D. Reidel Publishing Company, Dordrecht , Holland , 1981, 278 pages, ISBN 9027712972, ISBN 978 902771297 DEFAULTSORT Stuve diagram Category Atmospheric thermodynamics climate stub fr Diagramme de St ve pl Diagram St ve ... more details
Unreferenced stub auto yes date December 2009 Orphan date February 2009 An onion diagram is a kind of chart that shows the Dependency project management dependencies among parts of an organization or process. The chart displays items in concentric circles, where the items in each ring depend on the items in the smaller rings. Image OnionDiagram.png Microsoft Visio has built in support for onion diagrams. DEFAULTSORT Onion Diagram Category Diagrams Comm design stub ... more details
A Polar diagram could refer to Radiation pattern , in antenna theory In sailing, the Forces on sails Relationship of lift coefficient to angle of incidence polar diagram relationship between forces on a sail and its angle to the wind . removed because not mentioned there yet Velocity made good , in sailboat hydrodynamics graph which contrasts the sink rate of an aircraft with its horizontal speed polar curve . disambig ... more details
File Randolph diagram disjunction.svg thumb 250px Randolph diagram that represents the logical statement math P or Q math Logical disjunction disjunction . A Randolph diagram R diagram is a simple way ... statements using intersecting lines. Though Venn diagram Venn diagrams are more commonly used to represent ... between a Venn diagram and R diagram for 5 sets or logical statements File Venn5.svg 300px Venn s construction for 5 sets File Randolph diagram n5.svg 260px A Randolph diagram for five sets History ... or sets, namely subdividing each section of the R diagram with a new diagonal line for each new element ... sloping line while q is represented by a downward sloping line . A dot in the diagram above ... diagrams for p and q are shown below, respectively File R diagram p.svg 100px File Randolph diagram ... of the four spaces. The R diagram for r is shown below File R diagram r.svg 150px This method can be extended for any number of truth values File Randolph diagram subdivisions.svg 600px Randolph diagram ... F 5 F T T 6 F T F 7 F F T 8 F F F File Randolph diagram numbers.svg 200px File Randolph diagram truthvalues.svg ... Name Symbols R Diagram Truth Table Negation Negation not , File Randolph diagram negation.svg 75px ... diagram conjunction.svg 75px class wikitable style text align center p q p q T T T T F F F T F F F F Logical disjunction Disjunction or File Randolph diagram disjunction.svg 75px class wikitable ... if...then math rightarrow math , math Rightarrow math , math supset math File Randolph diagram implication.svg ... math , math math File Randolph diagram bicondition.svg 75px class wikitable style text align center ..., the result is an R diagram that can be converted back into a simpler logical expression. For example ... using R diagrams as follows math math File Randolph diagram q.svg 40px math leftrightarrow math File R diagram p.svg 40px math lor math File Randolph diagram negation.svg 40px math land math File Randolph diagram q.svg 40px math math File Randolph diagram bicondition.svg 40px math lor math File ... more details
Image Hess diagram.jpg thumb Hess diagram with data from SDSS b 80 degree A Hess diagram plots the relative density of occurrence of stars at differing color magnitude positions of the Hertzsprung Russell diagram for a given galaxy. The diagram is named after R. Hess who originated it in 1924. ref cite book author R. Hess year 1924 page 265 chapter Die Verteilungsfunktion der absol. Helligkeiten etc. title Probleme der Astronomie. Festschrift fur Hugo v. Seeliger publisher Springer, Berlin ref Its use dates back to at least 1948. ref name Gaposchkin1948 cite journal author Gaposchkin, Cecilia Payne title The connection of motion with intrinsic variability. journal Astronomical Journal year 1948 volume 53 pages 193 bibcode 1948AJ.....53..193G doi 10.1086 106093 ref References div class references small references div Category Hertzsprung Russell classifications Category Stellar evolution Category Galaxies Category Diagrams astronomy stub ko zh ... more details
Image trace diagram adjugate.png right thumb 150px A trace diagram representing the adjugate of a matrix ... . An n trace diagram is a graph mathematics graph math mathcal D V 1 sqcup V 2 sqcup V n, E math , where ... trace diagram is a trace diagram together with a partition of the degree 1 vertices V sub 1 ... a trace diagram may have the following special features, which are not always included in the standard ... edge the outgoing edge . Framed diagrams are drawn with inputs at the bottom of the diagram and outputs at the top of the diagram. In both cases, the ordering corresponds to reading from left to right. Correspondence with multilinear functions Every framed trace diagram corresponds to a multilinear ... Civita symbol which is an anti symmetric tensor related to the determinant . If a diagram has no output strands, its function maps tensor products to a scalar. If there are no degree 1 vertices, the diagram ..., a trace diagram s function is computed using signed graph coloring . For each edge coloring .... These weights become the coefficients of the diagram s function. In practice, a trace diagram s function is typically computed by decomposing the diagram into smaller pieces whose functions are known ... by Image Trace diagram vector product definitions.png 300px In this picture, the inputs to the function are shown as vectors in yellow boxes at the bottom of the diagram. The cross product diagram has an output vector, represented by the free strand at the top of the diagram. The dot product diagram ... diagram as specified by the above definition File Trace diagram triple product identity.png 350px ... also be shown that the rightmost diagram represents det u v w . The scalar triple product identity follows because each is a different representation of the same diagram s function. As a second example, one can show that File Trace diagram 3 binor identity.png 100px where the equality indicates ... does not change by bending the diagram or attaching more diagrams, provided the changes are consistent ... more details
A wiring diagram is a simplified conventional pictorial representation of an electrical circuit. It shows the components of the circuit as simplified shapes, and the power and signal connections between the devices. A wiring diagram usually gives more information about the relative position and arrangement of devices and terminals on the devices, to help in building the device. This is unlike a schematic diagram where the arrangement of the components interconnections on the diagram does not correspond to their physical locations in the finished device. A pictorial diagram would show more detail of the physical appearance, whereas a wiring diagram uses a more symbolic notation to emphasize interconnections over physical appearance. File Lespaulwiringdiagram.gif thumb right A wiring diagram for parts of an electric guitar, showing semi pictorial representation of devices arranged in roughly the same locations they would have in the guitar. A wiring diagram is used to troubleshoot problems and to make sure that all the connections have been made and that everything is present. File WPEVStartRunWires.png thumb right An automotive wiring diagram, showing useful information such as crimp connection locations and wire colors. These details may not be so easily found on a more schematic drawing. Architectural wiring diagrams Architectural wiring diagrams show the approximate locations and interconnections of receptacles, lighting, and permanent electrical services in a building. Interconnecting wire routes may be shown approximately, where particular receptacles or fixtures must be on a common circuit. File Ex wiring plan.svg thumb right Architectural style wiring diagram, with lamps and switches shown symbolically in their physical locations on the plan view of the building. Wiring ... diagram s. The electrical symbols not only show where something is to be installed, but also what ... television or other special services. See also Electrical wiring Circuit diagram References Electrical ... more details
oneref date February 2012 Image Activity conducting.svg thumb upright 2 UML 1.x Activity diagram for a guided brainstorming mental process process UML diagram types Activity diagrams are graphical representations of workflow s of stepwise activities and actions ref http highered.mcgraw hill.com sites ... in a system. An activity diagram shows the overall flow of control. Construction Activity diagrams ... in UML 2.x Applications File MESI protocol activity diagram.png thumb right An activity Diagram ... diagram has been extended to indicate flows among steps that convey physical matter e.g., gasoline or energy e.g., torque, pressure . Additional changes allow the diagram to better support continuous ... state machine diagram, in which states can be used to represent activities namely the state .... This mapping of activity diagram features to state diagram were formalized in UML 1.x, leaving activity ... behavior within a work flow. Despite the small advantages of using UML 1.x activity diagram over .... Activity diagrams and state diagram had similar abilities to express Concurrency computer ... diagram capabilities. or date February 2012 With UML 2.x, the foundation of activity diagram changed ... of workflow in a system. Now with the advent of robust activity diagram implementations, activity ... Notation Control flow graph Data flow diagram Event driven process chain List of UML tools Pseudocode State diagram References reflist External links commons category Activity diagrams http www.omg.org ... diagrams.html UML 2 Activity Diagrams UML DEFAULTSORT Activity Diagram Category Unified Modeling Language diagrams Category Systems Modeling Language cs Diagram aktivit de Aktivit tsdiagramm es Diagrama de actividades fr Diagramme d activit it Activity diagram lt Veiklos diagrama nl Activiteitendiagram ja pl Diagram czynno ci pt Diagrama de atividade ru sq Diagrami i aktivitetit sk Diagram aktiv t fi Aktiviteettikaavio tr Faaliyet diyagram uk ... more details
for diagrams of electrical circuits Circuit diagram In the mathematical field of model theory , the elementary diagram of a structure mathematical logic structure is the set of all sentences with parameters from the structure that are true in the structure. It is also called the complete diagram . Definition Let M be a structure in a first order language L . An extended language L M is obtained by adding to L a constant symbol c sub a sub for every element a of M . The structure M can be viewed as an L M structure in which the symbols in L are interpreted as before, and each new constant c sub a sub is interpreted as the element a . The elementary diagram of M is the set of all L M sentences that are true in M Marker 2002 44 . References Citation last1 Chang first1 Chen Chung last2 Keisler first2 H. Jerome author2 link Howard Jerome Keisler title Model Theory publisher Elsevier isbn 978 0 7204 0692 4 year 1989 Citation last1 Hodges first1 Wilfrid author1 link Wilfrid Hodges title A shorter model theory publisher Cambridge University Press isbn 978 0 521 58713 6 year 1997 Citation last1 Marker first1 David title Model Theory An Introduction publisher Springer Verlag location Berlin, New York series Graduate Texts in Mathematics isbn 978 0 387 98760 6 year 2002 Category Model theory mathlogic stub pl Diagram elementarny ... more details
Image MJO 5 day running mean through 1 Oct 2006.png thumb right A Hovm ller diagram of 5 day the running mean of outgoing longwave radiation showing the Madden Julian oscillation . Time increases from top to bottom in the figure, so contours that are oriented from upper left to lower right depict objects moving from west to east. A Hovm ller diagram is a commonly used way of Graph of a function plotting Meteorology meteorological data to highlight the role of wave s. The Cartesian coordinate system axes of a Hovm ller diagram are typically longitude or latitude abscissa or x axis and time ordinate or y axis with the value of some Field physics field represented through color or shading. Hovm ller diagrams are also used to plot the time evolution of vertical profiles of scalar quantities such as temperature , density , or concentrations of constituents in the atmosphere or ocean . In that case time is plotted along the abscissa and vertical position depth, height, pressure along the ordinate. The diagram was invented by Ernest Aabo Hovm ller 1912 2008 , a Danish people Danish meteorologist, in a paper of 1949 ref Citation first1 Ernest last1 Hovm ller year 1949 title The Trough and Ridge Diagram periodical Tellus volume 1 issue 2 pages 62 66 url http onlinelibrary.wiley.com doi 10.1111 j.2153 3490.1949.tb01260.x pdf ref . References Reflist 2 See also Tropical wave External links http locust.mmm.ucar.edu episodes episodes paper technote.html Toc516370405 An example Hovm ller diagram showing rainfall Category Basic meteorological concepts and phenomena nl Hovm llerdiagram pl Diagram Hovm llera ... more details
The affinity diagram is a business tool used to organize ideas and data. It is one of the Seven Management and Planning Tools . The tool is commonly used within project management and allows large numbers of ideas stemming from brainstorming ref http www.pmhut.com affinity diagram kawakita jiro or kj method Affinity Diagram Kawakita Jiro or KJ Method , Retrieved June 6, 2010 ref to be sorted into groups, based on their natural relationships, for review and analysis. ref http www.leanyourcompany.com methods Using Affinity Diagrams.asp Using Affinity Diagrams to make sense from brainstorming ref The affinity diagram was devised by Jiro Kawakita in the 1960s ref Improving Performance Through Statistical Thinking By Galen C. Britz ref and is sometimes referred to as the KJ Method. Process Record each idea on cards or notes Look for ideas that seem to be related Sort cards into groups until all cards have been used. Once the cards have been sorted into groups the team may sort large clusters into subgroups for easier management and analysis. ref Value Its Measurement, Design and Management By M. Larry Shillito ref Once completed, the affinity diagram may be used to create a Ishikawa diagram cause and effect diagram. ref http www.tin.nhs.uk index.asp?pgid 1129 NHS Improvement network ref References references External links http www.discover6sigma.org d6slab affinity Online AFFINITY tool at Discover 6 Sigma Lab http www.officelabs.com projects stickysorter Pages default.aspx StickySorter Free Affinity Diagramming Tool Category Business terms Category Usability de Affinit tsdiagramm ja KJ ... more details
In mathematics , particularly in dynamical systems , a bifurcation diagram shows the possible long term values equilibria fixed points or periodic orbits of a system as a function of a Bifurcation theory bifurcation parameter in the system. It is usual to represent stable solutions with a solid line and unstable solutions with a dotted line. Bifurcations in 1D discrete dynamical systems Logistic map See also Dynamical systems List of chaotic maps Image LogisticMap BifurcationDiagram.png 300px thumb right Bifurcation diagram of the logistic map Image diagram bifurkacji anim small.gif 300px thumb right Animation showing the formation of bifurcation diagram. Image Circle map bifurcation.jpeg thumb right Bifurcation diagram of the circle map . Black regions correspond to Arnold tongues . An example is the bifurcation diagram of the logistic map math x n 1 rx n 1 x n . , math The bifurcation parameter r is shown on the horizontal axis of the plot and the vertical axis shows the possible long term population values of the logistic function. Only the stable solutions are shown here, there are many other unstable solutions which are not shown in this diagram. The bifurcation diagram nicely shows the forking of the possible periods of stable orbits from 1 to 2 to 4 to 8 etc. Each of these bifurcation points is a period doubling bifurcation . The ratio of the lengths of successive intervals between values of r for which bifurcation occurs convergent series converges to the first Feigenbaum constant . Real quadratic map See also Complex quadratic polynomial The map is math x n 1 x n 2 c math . Symmetry breaking in bifurcation sets Image Asymbif.gif 300px thumb right Symmetry breaking in pitchfork bifurcation as the parameter epsilon is varied. epsilon 0 is the case of symmetric pitchfork ... stable when math mu neq 0 math , if a bifurcation diagram is plotted, treating math mu math ... of bifurcation diagram References Paul Glendinning, Stability, Instability and Chaos , Cambridge University ... more details
A Jones diagram is a type of Cartesian coordinate system Cartesian graph developed by Lloyd A. Jones in the 1940s, where each axis represents a different Variable mathematics variable . In a Jones diagram axes represent different quantities, unlike in a Cartesian graph clarifyme reason I have no idea what this is trying to say. The axes in Cartesian graphs obviously represent different quantities, such as time and distance, pressure and volume, or whatever it might be date October 2011 where the axes represent positive or negative intensities of the same quantity. The Jones diagram therefore represents four variables. Each quadrant shares the vertical axis with its horizontal neighbor, and the horizontal axis with the vertical neighbor. For example, the top left quadrant shares its vertical axis with the top right quadrant, and the horizontal axis with the bottom left quadrant. The overall system response is in Cartesian coordinate system Cartesian coordinates in two dimensions quadrant I the variables that contribute to it are in quadrants II through IV. Jones diagrams in photography Image Jones Diagram US6484631Fig1.gif thumb 300px FIG. 1 from U.S. Patent 6,484,631. br a graphical illustration of a Jones Diagram for calibrating user specified tone reproduction curve TRC A common application of Jones diagrams is in photography , specifically in displaying sensitivity to light with what are also called Tonal Reproduction Curve tone reproduction diagrams . These diagrams are used in the design of photographic systems photographic film film , photographic paper paper , etc. to determine ... that a viewer would see looking at the finished photograph. The Jones diagram concept of variables ... each quadrant separately. Jones s original diagram used eleven quadrants to show all the elements of his photographic system. See also Cobweb plot similar diagram technique References Walls, H. J. & Attridge ... diagram Example of a CRT Jones diagram US patent reference number 5371537 title Method and apparatus ... more details
Image Pourbaix Diagram of Iron.svg thumb Pourbaix diagram of iron. ref http people.bath.ac.uk chsataj CHEY0016 20Lecture 2015.htm University of Bath & http www.wou.edu las physci ch412 pourbaix.htm Western Oregon University ref In chemistry , a Pourbaix diagram , also known as a potential pH diagram , maps out possible stable Chemical equilibrium equilibrium phases of an aqueous electrochemical system. Predominant ion boundaries are represented by lines. As such a Pourbaix diagram can be read much like a standard phase diagram with a different set of axes. But like phase diagrams, they do not allow for reaction rate or kinetic effects. The diagrams are named after Marcel Pourbaix 1904 1998 , the Russia n born, Belgian Chemistry chemist who invented them. Diagram Image Uranium pourdaix diagram in water.png thumb right 240px The Pourbaix diagram for uranium in a non complexing aqueous medium e.g. perchloric acid sodium hydroxide . ref name medusa Image Uranium pourdiax diagram in carbonate media.png thumb right 240px The Pourbaix diagram for uranium in carbonate solution. ref name medusa Ignasi Puigdomenech, Hydra Medusa Chemical Equilibrium Database and Plotting Software 2004 KTH Royal Institute of Technology, freely downloadable software at http www.kemi.kth.se medusa ref Pourbaix diagrams are also known as Eh pH diagrams due to the labeling of the two axes. The vertical axis is labeled Eh for the voltage potential with respect to the standard hydrogen electrode SHE as calculated ... of a metal binding agent ligand will often modify the diagram. For instance, carbonate has a great effect upon the diagram for uranium. See diagrams at right. In addition, temperature and concentration ... equation. A simplified Pourbaix diagram indicates regions of Immunity , Corrosion and Passivity , instead ... layer formed on its surface when exposed to air. See also Ellingham diagram Frost diagram Ionic partition diagram References reflist Brookins, D. G. , Eh pH Diagrams for Geochemistry. 1988, Springer ... more details
In the mathematics mathematical study of Lie algebra s and Lie group s, a Satake diagram is a generalization of a Dynkin diagram introduced by harvs txt authorlink Ichir Satake last Satake year 1960 loc p.109 whose configurations classify semisimple Lie algebra simple Lie algebras over the field mathematics field of real number s. The Satake diagrams associated to a Dynkin diagram classify real form Lie theory real forms of the complex Lie algebra corresponding to the Dynkin diagram. More generally, the Tits index or Satake Tits diagram of a reductive algebraic group over a field is a generalization of the Satake diagram to arbitrary fields, introduced by harvs txt last Tits authorlink Jacques Tits year 1966 , that reduces the classification of reductive algebraic groups to that of anisotropic reductive algebraic groups. Satake diagrams are not the same as Vogan diagram s of a Lie group, although they look similar. Definition A Satake diagram is obtained from a Dynkin diagram by blackening some vertices, and connecting other vertices in pairs by arrows, according to certain rules. Suppose that G is an algebraic group defined over a field k , such as the reals. We let S be a maximal split torus in G , and take T to be a maximal torus containing S defined over the separable algebraic closure K of k . Then G K has a Dynkin diagram with respect to some choice of positive roots of T . This Dynkin diagram has a natural action of the Galois group of K k . Also some of the simple roots vanish on S . The Satake Tits diagram is given by the Dynkin diagram D , together with the action of the Galois group, with the simple roots vanishing on S colored black. In the case when k is the field ... conjugate points of the Dynkin diagram near each other, and the Satake Tits diagram is called a Satake diagram. Examples Expand section date December 2009 Compact Lie algebra s correspond to the Satake diagram with all vertices blackened. A table can be found at Harv Onishchik Vinberg 1994 loc ... more details
Image Flammability diagram methane.png right thumb 400px Flammability diagram for methane Flammability diagrams show the regimes of flammability in mixtures of fuel, oxygen and an inert gas, typically nitrogen . Mixtures of the three gasses are usually depicted in a triangular diagram, also known as a Ternary plot . Such diagrams are available in the speciality literature. ref for instance in Michael George Zabetakis 1965 work, which remains one of the most widely cited sources of flammability data. ref ref Mashuga 1998 ref ref Crowl 2003 ref The same information can be depicted in a normal orthogonal diagram, showing only two substances, implicitly using that the sum of all three components are 100 percent. The diagrams below only concerns one fuel, the diagrams can be generalized to mixtures of fuels. Understanding flammability diagrams Triangular diagrams are not commonplace. The easiest way to understand them is to briefly go through three basic steps in their construction. Consider the first triangular diagram below, which shows all possible mixtures of methane, oxygen and nitrogen. Air is a mixture of about 21 volume percent oxygen, and 79 volume percent inerts nitrogen . Any mixture of methane and air will therefore lie on the straight line between pure methane and pure air this is shown as the blue air line. The upper and lower flammability limits of methane in air are located ... oxygen concentration LOC . gallery Image Flammability diagram methane 1 w air line.png Triangular diagram showing all possible mixtures of methane, oxygen and nitrogen. Any mixture of methane and air will lie on the blue air line Image Flammability diagram methane 2 w stoich line.png Any stoichiometric mixture of methane and oxygen will lie on the red stoichiometric line Image Flammability diagram ... diagram methane alternative axis .png Same diagram, but with alternative axis layout gallery ... coauthors Crowl DA title Application of the flammability diagram for evaluation of fire and explosion ... more details
File Bachman diagram.jpg thumb 360px Illustration of set type using a Bachman diagram. Bachman diagrams are diagram s which are used to design the data using a network or relational logical model, separating the data model from the way the data is stored in the system. The model is named after database pioneer Charles Bachman , and mostly used in computer software design . A Bachman diagram is another name for a data structure diagram . ref http www.irs.gov irm part2 irm 02 005 013.html IRS Resources . Part 2. Information Technology, Chapter 5. Systems Development, Section 13. Database Design Techniques and Deliverables. Retrieved 02 July 2009. ref In a relational model a relation is the cohesion of attributes that are fully and not transitive functional dependent of every key in that relation. The coupling between the relations is based on accordant attributes. For every relation a rectangle has to be drawn and every coupling is illustrated by a line that connects the relations. On the edge of each line arrows indicate the cardinality. We have 1 to n, 1 to 1 and n to n. The latter has to be avoided and must be replaced by two 1 to n couplings. See also Entity relationship model References reflist Category Data modeling diagrams ja ... more details
File Policy Admin Component Diagram.PNG thumb 420px Component Diagram of an Insurance Policy Administration System UML diagram types In the Unified Modeling Language , a component diagram depicts how component UML components are wired together to form larger components and or software system s. They are used to illustrate the structure of arbitrarily complex systems. Overview Components are wired together by using an assembly connector to connect the required interface computing interface of one component with the provided interface of another component. This illustrates the service consumer service provider relationship between the two components. An assembly connector is a connector between two components that defines that one component provides the services that another component requires. An assembly connector is a connector that is defined from a required interface or port to a provided interface or port. ref name OMG V2.1.2 http www.omg.org spec UML 2.1.2 Superstructure PDF OMG Unified Modeling Language UML , Superstructure, V2.1.2 , p.154. ref When using a component diagram to show the internal structure of a component, the provided and required interfaces of the encompassing component can delegate to the corresponding interfaces of the contained components. A delegation connector is a connector that links the external contract of a component as specified by its ports to the internal realization of that behavior by the component s parts. ref name OMG V2.1.2 The example above illustrates what a typical Insurance policy administration system might look like. Each of the components depicted in the above diagram may have other component diagrams illustrating their internal ... by Scott W. Ambler http www.agilemodeling.com style componentDiagram.htm UML 2 Component Diagram ... Diagrams UML DEFAULTSORT Component Diagram Category Unified Modeling Language diagrams Category ... Diagram komponent w pt Diagrama de componentes ru sk Diagram komponentov uk ... more details
A phase diagram in physical chemistry , engineering , mineralogy , and materials science is a type of chart ... equilibrium equilibrium . In mathematics and physics , phase diagram is used with a different meaning a synonym for a phase space . Overview Common components of a phase diagram are lines ... at which three different phases can coexist. For example, the water phase diagram has a triple point ... axes correspond to the pressure and temperature . The phase diagram shows, in pressure temperature ... . Image Phase diag2.svg thumb 250px left A typical phase diagram. The dotted line gives Water ... diagram show the points where the free energy and other derived properties becomes non analytic ... phase boundaries . In the diagram on the left, the phase boundary between liquid and gas does not continue indefinitely. Instead, it terminates at a point on the phase diagram called the critical ... diagram of most substances has a positive slope the greater the pressure on a given substance, the closer ... center 540 px Temperature vs. specific entropy phase diagram for water steam. In the area under the red ... h s diagram for steam pressure enthalpy p h diagram for steam temperature entropy T s diagram for steam 3D phase diagrams File pVT 3D diagram.png thumb 200px p V T 3D diagram for fixed amount of pure ... meb applet Phasediagram3D Phasediagram.html 3D Model Water Phase Diagram . ref ref Web applet http ... volume v on a third. Such a 3D graph is sometimes called a P v T diagram. The equilibrium conditions ... point remains a point on the surface even on a 3D phase diagram. An orthographic projection ... collapses the 3D plot into a 2D pressure temperature diagram. When this is done, the solid vapor ... Brosen ironcarbon.svg thumb 250px left The iron iron carbide Fe Fe sub 3 sub C phase diagram. The percentage ... diagram for a binary system displaying a eutectic point. One type of phase diagram plots temperature ... a binary phase diagram , as shown at right. Such a mixture can be either a solid solution , eutectic ... more details
Unreferenced date July 2009 In physics , a quiver diagram is a graph representing the matter content of a gauge theory that describes D branes on orbifold s. Each node of the graph corresponds to a factor unitary group U N of the gauge group , and each link represents a field in the bifundamental representation math M, bar N math . The relevance of quiver diagrams for string theory was pointed out and studied by Michael R. Douglas Michael Douglas and Greg Moore. While string theorists use the words quiver diagram , many of their colleagues in particle physics call these diagrams mooses . See also quiver mathematics . Category Theoretical physics physics stub ... more details
Image Sankeysteam.png thumb 400px Example of a Sankey diagram. File Minard.png thumb 400px Famous Sankey diagram of Napoleon s French invasion of Russia invasion of Russia . Sankey diagrams are a specific type of flow diagram , in which the width of the arrows is shown proportionally to the flow quantity. They are typically used to visualize energy or material or cost transfers between processes. Application They are also commonly used to visualize the energy accounts or material flow accounts on a regional or national level. Sankey diagrams put a visual emphasis on the major transfers or flows within a system. They are helpful in locating dominant contributions to an overall flow. Often, Sankey diagrams show conserved quantities within defined system boundaries, typically Conservation of energy energy or Mass conservation mass , but they can also be used to show flows of non conserved quantities such as exergy . One of the most famous Sankey diagrams is Charles Minard s Map of Napolean s Russian Campaign of 1812. It is a flow map , overlaying a Sankey diagram onto a geographical map. It was created in 1869. Sankey diagrams are named after Irish Captain Matthew Henry Phineas Riall Sankey , who used this type of diagram in 1898 in a publication on the Energy conversion efficiency energy efficiency of a steam engine see reproduction in ref name schmidt cite journal author Mario Schmidt title Der Einsatz von Sankey Diagrammen im Stoffstrommanagement journal Beitraege der Hochschule Pforzheim year 2006 issue Nr. 124 url http umwelt.hs pforzheim.de fileadmin dokumente 2006 Nr 124 Der Einsatz von Sankey Diagrammen im Stoffstrommanagement.pdf format pdf ref , page 8 . While the first charts in black and white were merely used to display one type of flow e.g. steam , using colors .... See also Thermodynamics Material flow management Grassmann diagram exergy flow and loss References ... 2001 DEFAULTSORT Sankey Diagram Category Diagrams de Sankey Diagramm nl Sankey diagram ja ... more details
File Wiggers Diagram.svg thumb 400px Wiggers Diagram, showing various events of a cardiac cycle . A Wiggers diagram is a standard diagram used in cardiac physiology named after Carl J. Wiggers Dr. Carl J. Wiggers . The X axis is used to plot time, while the Y axis contains all of the following on a single grid Blood pressure Aortic pressure Ventricle heart Ventricular pressure Atrial pressure Ventricular volume Electrocardiogram Arterial flow optional Heart sounds optional By illustrating the coordinated variation of these values, it becomes easier to illustrate the relationship between these values in the cardiac cycle . Events class wikitable Phase Electrocardiogram EKG Heart sounds Aortic valve Mitral valve A Atrial Systole medicine systole Electrocardiogram P wave P S4 closed open B Ventricle heart Ventricular systole Isovolumetric isovolumic contraction QRS complex QRS Heart sounds first heart tone.2C or S1.2C .22lub.22 S1 lub closed closed C1 Ventricular systole Ejection 1 open closed C2 Ventricular systole Ejection 2 Electrocardiogram T wave T open closed D Ventricular diastole Isovolumetric isovolumic relaxation Heart sounds second heart tone.2C or S2 .28components A2 and P2.29.2C .22dub.22 S2 dub closed closed E1 Ventricular diastole Ventricular filling 1 S3 closed open E2 Ventricular diastole Ventricular filling 2 closed open Note that during isovolumetric isovolumic contraction and relaxation, all the heart valves are closed. At no time are all the heart valves open ..., QRS QRS complex, QT QT interval, ST ST segment, T T wave gallery See also Pressure volume diagram ... sprojects.mmi.mcgill.ca cardiophysio EKGwiggers.htm Diagram at mmi.mcgill.ca http www.ouhscphysio.org ... Physiology485 Gore Lecture10 Lect10Figs L10.Fig4A.html?Submit Press to see Figure 4A Diagram at arizona.edu http www.cals.ncsu.edu physiology cardio res.htm Diagram at cals.ncsu.edu http www.the aps.org ... cs Wiggers v diagram es Diagrama de Wiggers uk ... more details
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