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Topic: Argand diagram

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	PlanetMath: Argand diagram
		An Argand diagram is the graphical representation of complex numbers written in polar coordinates.
		Argand is the name of Jean-Robert Argand, the Frenchman who is credited with the geometric interpretation of the complex numbers [Biography]
		This is version 4 of Argand diagram, born on 2001-11-11, modified 2004-04-13.
	planetmath.org /encyclopedia/ArgandDiagram.html (77 words)

	Argand diagram
		A way of representing complex numbers as points on a coordinate plane, also known as the Argand plane or the complex plane, using the x-axis as the real axis and the y-axis as the imaginary axis.
		It is named for the French amateur mathematician Jean Robert Argand (1768-1822) who described it in a paper in 1806.
		In the diagram shown here, a complex number z is shown in terms of both Cartesian (x, y) and polar (r, theta) coordinates.
	www.daviddarling.info /encyclopedia/A/Argand_diagram.html (221 words)

	Complex plane - Wikipedia, the free encyclopedia
		The complex plane is sometimes called the Argand plane for its use in Argand diagrams.
		Under addition, they add like vectors, and the multiplication of complex numbers can be expressed simply using polar coordinates, where the magnitude of the product is the product of those of the terms, and the angle from the real axis of the product is the sum of those of the terms.
		Argand diagrams are frequently used to plot the positions of poles and zeros of a function in the complex plane.
	www.wikipedia.org /wiki/Argand_diagram (327 words)

	Argand (Site not responding. Last check: 2007-09-07)
		The Argand diagram is taught to most school children who are studying mathematics and Argand's name will live on in the history of mathematics through this important concept.
		In this correspondence Jacques Français and Argand argued in favour of the validity of the geometric representation, while Servois argued that complex numbers must be handled using pure algebra.
		Argand was a man with an unknown background, a nonmathematical occupation, and an uncertain contact with the literature of his time who intuitively developed a critical idea for which the time was right.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Argand.html (946 words)

	Argand diagram -- Britannica Student Encyclopedia
		This interpretation, initially and independently conceived by the Norwegian surveyor Caspar Wessel and the French bookkeeper Jean-Robert Argand (see Argand diagram), was made known to a larger audience of...
		The Argand burner consisted of a cylindrical wick housed between two concentric metal tubes.
		The diagram can be constructed by representing various energy levels (or states) with...
	www.britannica.com /ebi/article-9009360 (804 words)

	The Argand Diagram (Site not responding. Last check: 2007-09-07)
		So it is often useful to think of a complex number as being represented by the point in a plane with Cartesian coordinates (x, y).
		This representation is called the Argand diagram or the complex plane.
		Figure 10.2: The Argand diagram or complex plane.
	www.maths.abdn.ac.uk /~igc/tch/eg1006/notes/node97.html (75 words)

	MSN Encarta - Search Results - Argand diagram
		Argand Diagram, in mathematics, a method for representing complex numbers by Cartesian coordinates (x and y).
		Diagrams : mathematics: Argand diagram – absolute value
		For a complex number, the absolute value is its distance to the origin when it is plotted on an Argand diagram.
	encarta.msn.com /Argand_diagram.html (164 words)

	Chapter 3 Basic complex analysis (ResearchIndex) (Site not responding. Last check: 2007-09-07)
		Argand Diagram Mathematics for Neural Nets and Especially Field Computation Chapter 4...
		BASIC COMPLEX ANALYSIS 3.2 Geometrical Interpretations The simplest use of the Argand diagram is to understand the addition and subtraction of complex numbers.
		Definition 3.2.1 (Complex addition) Addition (or subtraction) of complex numbers is equivalent to vector addition in the Argand diagram: (x + iy) + (x 0 + iy 0) = (x + x 0) + i(y + y 0):...
	citeseer.ist.psu.edu /95577.html (229 words)

	Complex number -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-09-07)
		In 1804 the Abbé Buée independently came upon the same idea which Wallis had suggested, that should represent a unit line, and its negative, perpendicular to the real axis.
		Buée's paper was not published until 1806, in which year (additional info and facts about Jean-Robert Argand) Jean-Robert Argand also issued a pamphlet on the same subject.
		A complex number can also be viewed as a point or a (additional info and facts about position vector) position vector on the two dimensional (A coordinate system for which the coordinates of a point are its distances from a set perpendicular lines that intersect at the origin of the system) Cartesian coordinate system.
	www.absoluteastronomy.com /encyclopedia/c/co/complex_number.htm (3453 words)

	MRTI - Millennium Rankine Technologies Inc.
		The fine structure constant, The fine structure function, The angle of scattering, The Compton effect, An Argand diagram, The complex variable, The complex conjugate, ArgZ.
		to different Argand diagrams is a series of equations which lead to angular relations.
		This equation claims that the fine structure constant can be represented by an Argand diagram.
	www.mrti-usa.com /argand_diagram.htm (777 words)

	Argand Diagram - Eduseek (Site not responding. Last check: 2007-09-07)
		Argand Diagrams - A brief discussion of Argand diagrams, with examples.
		Introduction to the Argand Diagram - A short introduction to the Argand diagram.
		Complex Numbers and Graphs - Gives a brief overview of how complex numbers can be represented on an Argand diagram.
	www.eduseek.com /static/navigate8005.html (93 words)

	Encyclopedia: Complex number (Site not responding. Last check: 2007-09-07)
		A complex number can be viewed as a point or a position vector on a two-dimensional Cartesian coordinate system called the complex plane or Argand diagram (named after Jean-Robert Argand).
		Jean-Robert Argand (July 18, 1768 - August 13, 1822) was a non-professional mathematician.
		The Cartesian coordinates of the complex number are the real part x and the imaginary part y, while the circular coordinates are r =
	www.nationmaster.com /encyclopedia/Complex-number (8165 words)

	The position of roots on an Argand diagram (Site not responding. Last check: 2007-09-07)
		The position of roots on an Argand diagram
		On the Argand diagram, here's the first root we found together with this second one:
		They are equally spaced around the Argand diagram and have the same modulus.
	www.ucl.ac.uk /Mathematics/geomath/level2/complex/cn15.html (238 words)

	[No title]
		\end{equation} \section{Pion-nucleon phase shifts}%======================================== \subsection{Argand diagrams}%======================================== Figure (\ref{argand}) illustrates an Argand diagram; it is a diagram in the complex plane, the vertical axis is the Imaginary part of the $f_l$ amplitude, \index{Argand diagram} and the horizontal axis is the Real its real part.
		\begin{figure} \begin{center} \leavevmode \hbox{% \epsfxsize=3.5in \epsfbox{argand.eps}} \end{center} \caption{Parameters involved in an Argand diagram, and the geometrical interpretation.
		This figure shows the original Argand diagrams from S. Almehed and C. Lovelace to be compared with your graphs.
	www.physics.orst.edu /~rubin/CPUG/CPlab/Mpaez/lpott/lpott_tex/lpott.bk (5408 words)

	Real axis - Hutchinson encyclopedia article about Real axis (Site not responding. Last check: 2007-09-07)
		A complex number can be represented graphically as a line whose end-point coordinates equal the real and imaginary parts of the complex number.
		This type of diagram is called an Argand diagram after the French mathematician Jean Argand (1768–1822) who devised it.
		Complex numbers can be represented graphically on an Argand diagram, which uses rectangular Cartesian coordinates in which the x-axis represents the real part of the number and the y-axis the imaginary part.
	encyclopedia.farlex.com /Real+axis (293 words)

	Locus/Regions in Argand Plane (Site not responding. Last check: 2007-09-07)
		The equation of circle of radius r and center at origin is z
		Illustrate the locus of z in the Argand plane.
		Illustrate the locus of z in the Argand diagram.
	www.ilovemaths.com /3argandplane.htm (686 words)

	A Formula for the nth Fibonacci number
		Writing (x,y) for a complex numbers suggests we might be able to plot complex numbers on a graph, the x distance being the real part of a complex number and the y height being its complex part.
		In general, the real number r is the complex number r + 0 i and is plotted at (r,0) on the Argand diagram.
		We can plot a complex function on an Argand diagram, that is, a function whose values are complex numbers.
	www.mcs.surrey.ac.uk /Personal/R.Knott/Fibonacci/fibFormula.html (4003 words)

	argand diagram - OneLook Dictionary Search
		Tip: Click on the first link on a line below to go directly to a page where "argand diagram" is defined.
		Argand diagram : Encarta® World English Dictionary, North American Edition [home, info]
		Argand Diagram : Eric Weisstein's World of Mathematics [home, info]
	www.onelook.com /?w=argand+diagram (103 words)

	The Argand diagram. (Site not responding. Last check: 2007-09-07)
		We can see the absolute value of a real as the distance to the origin when putting a real on an axis.
		define the absolute value or the modulus of a complex number as its distance to the origin if put in an Argand diagram.
		We then need one other number to determine the value of a complex number, and that could be the angle between a
	hemsidor.torget.se /users/m/mauritz/math/num/argand.htm (153 words)

	Topic: Argand diagram (Site not responding. Last check: 2007-09-07)
		In a Cartesian coordinate system, a point can be represented using coordinates (x,y).
		When this point is taken to represent the complex number (x+iy), the plane is called complex plane or Argand diagram.
		It is named after the Swiss-born mathematician Jean Robert Argand, one of several people who invented this geometrical representation for complex numbers.
	www.elko.k12.nv.us /webapps/vmd/full/a/arganddiagram.htm (64 words)

	Argand Diagram (Site not responding. Last check: 2007-09-07)
		1) " Diagram" -- in the term Argand Diagram
		A diagram is a simplified and structured visual representation of concepts, ideas, constructions, relations, statistical data, anatomy etcused in all aspects of human activities to visualize and clarify thetopic.
		Commonly appearing connections are : Argand Diagrams, Argand Lamp, Argand Lamps, Argand Plane, Argania, Argante, Argas, Arge, Arge Phontes Lyre, Argeiphontes, Argeiphontes Lyre, Argel, Argelander, Argeles Sur Mer, Argelia, Argelia Velez Rodriguez, Argema, Argemone, Argemone Mexicana, Argen
	www.bodawg.com /point/9928-argand-diagram.html (103 words)

	The Argand diagram (Site not responding. Last check: 2007-09-07)
		Complex numbers can be represented graphically using the Argand diagram (sometimes called the complex plane):
		Thus a complex number, z, consists of real and imaginary parts and is written in the form a + ib.
		Complex numbers can be expressed from polar co-ordinates to cartesian co-ordinates using the formula:
	people.bath.ac.uk /ma3on/argand.html (60 words)

	MSN Encarta - Dictionary - Argand diagram
		Click here to search all of MSN Encarta
		Search for "Argand diagram" in all of MSN Encarta
		diagram representing complex numbers as points: a diagram displaying complex numbers as points in a plane, the real part shown on the horizontal axis and the imaginary part on the vertical axis
	encarta.msn.com /dictionary_561531617/Argand_diagram.html (71 words)

	complex numbers in the real plane via the Argand diagram
		complex numbers in the real plane via the Argand diagram
		Although the symbol manipulation surrounding the use of a symbol i which fulfils the arithmetical rule that i
		The importance of doing things this way seems to be that all the manipulation is done with concrete, readily visible objects; there is no such thing as an ``inaginary'' number with some speculative properties.
	cellular.ci.ulsa.mx /comun/complex/node3.html (285 words)

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