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	Euler angles (Site not responding. Last check: 2007-10-29)
		All angles are specified in terms of the Euler geometry with Euler angles, 2[theta], [omega...
		The Euler angles form a chart on all of SO(3), the special orthogonal group of rotations in 3D space.
		Euler angles are used extensively in the classical mechanics of rigid bodies, and in the quantum mechanics of angular momentum.
	hallencyclopedia.com /Euler_angles (1274 words)

	ipedia.com: Euler angles Article (Site not responding. Last check: 2007-10-29)
		Euler angles are one way of representing rotations in 3-dimensional Euclidean space as a product of three successive 2D coordinate rotations,, about the x -, y - and z -axes.
		Euler angles are one way of representing rotations in 3-dimensional Euclidean space as a product of three successive 2D coordinate rotations θ, φ, ψ (theta, phi, and psi) about the x-, y- and z-axes.
		As a representation of rotations, Euler angles have several drawbacks:
	www.ipedia.com /euler_angles.html (250 words)

	Diagrams
		Euler circles, Venn diagrams, and Lewis Carroll's squares have been widely used for certain types of syllogistic reasoning [Euler 1768, Venn 1881, Carroll 1896].
		The system's power also lies in the fact that no additional conventions are needed to establish the meanings of diagrams involving more than one circle: relationships holding among sets are asserted by means of the same relationships holding among the circles representing them.
		Euler himself seemed to recognize this potential problem and introduced a new syntactic device, ‘*’ (representing non-emptiness) as an attempt to repair this flaw.
	plato.stanford.edu /entries/diagrams (7978 words)

	Action (physics) -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-29)
		It was the product of the duration (time) of movement within a system by the "vis viva" or twice what we now call the kinetic energy of the system.
		Euler (in "Reflexions sur quelques loix generales de la nature", 1748) adopts the least-action principle, calling the quantity "effort".
		His expression corresponds to what we would now call potential energy, so that his statement of least action in statics is equivalent to the principle that a system of bodies at rest will adopt a configuration that minimizes total potential energy.
	www.absoluteastronomy.com /encyclopedia/a/ac/action_(physics).htm (1922 words)

	The Reduced Euler-Lagrange Equations (Site not responding. Last check: 2007-10-29)
		For the reduction of a Lagrangian system on a level set of a conserved quantity, a key object is the Routhian, which is the Lagrangian minus the mechanical connection paired with the fixed value of the momentum map.
		For unconstrained systems, we use a velocity shifted Lagrangian, which plays the role of the Routhian in the constrained theory.
		Hamilton's variational principle for the Euler-Lagrange equations breaks up into two sets of equations that represent a set of Euler-Lagrange equations with gyroscopic forcing that can be written in terms of the curvature of the connection for horizontal variations, and into the Euler-Poincaré equations for the vertical variations.
	www.cds.caltech.edu /~marsden/bib/1993/04-MaSc1993b (206 words)

	EULER Questionnaire
		The aim of the EU Project EULER is to provide a user-oriented integrated access to networked information resources in the field of mathematics for mathematicians as well as for other scientists and interested users.
		Since we want the structure of the system to be user-oriented, we have designed this questionnaire in order to get a better understanding of the requirements of prospective users.
		EULER services should enable the user to make effective use of the mathematical library-related information resources and publications offered with a single user interface.
	www.emis.de /projects/EULER/questionnaire.html (707 words)

	Timoshenko's Beam Equations
		It is this partially parabolic character of the Euler-Bernoulli system which engenders severe restrictions on the maximum allowable time step (at least in the case of explicit methods, of which type are all the scattering-based methods included in this work).
		Each of the subsystems (5.17) and (5.18) has the form of a lossless (1+1)D transmission line system; they are coupled by constant-proportional terms, and it is this coupling that gives the Timoshenko system its dispersive character.
		This is a symmetric hyperbolic system of the form given in (3.1), with
	ccrma-www.stanford.edu /~bilbao/master/node163.html (267 words)

	MATH2071: LAB 1(b): Simple ODE methods (Site not responding. Last check: 2007-10-29)
		You will see Euler's method applied first to a simple scalar equation, then to a system of equations, and then to a higher order equation converted into a system.
		Euler's method is easily extended to a system of differential equations, that is, a set of equations for which the unknown function
		Such a system is called ``autonomous.'' The behavior of the solution doesn't depend on when you start the problem, only on the initial condition.
	www.math.pitt.edu /~sussmanm/2071Spring05/lab01b (2806 words)

	C:\BELLBO~1\COMPSR&E\HTMFILES\00000404.HTM
		An experimental processing system for the EULER language has been written to demonstrate the validity of these ideas.
		Not all the features of EULER are included,-only the general principles that are to be demonstrated.
		Also for reasons of simplicity, the system is written only for a 64K System/360 Model 30 and the storage areas for tables, compiled programs, stacks and free space are assigned fixed addresses.
	research.microsoft.com /~gbell/computer_structures__readings_and_examples/00000404.htm (523 words)

	Application developper (Site not responding. Last check: 2007-10-29)
		NB: The efficient module sharing capabilities of EULER make it possible to minimize the memory space needed to use multiple TTS systems simulaneously, since shared modules and databases are only instanciated once.
		EULER was designed to let TTS developers create their own EULER modules or databases.
		In order to ensure that EULER users are aware of the transfer and usage conditions on the software components they are using, the EULER kernel has been designed in such a way that an EULER disclaimer needs to be launched by the application, and accepted by its users, before EULER can start.
	www.tcts.fpms.ac.be /synthesis/euler/doc/applicationdeveloper (894 words)

	Global solutions to isothermal Euler-Poisson plasma model. - Cordier (ResearchIndex) (Site not responding. Last check: 2007-10-29)
		Abstract: : Global existence of a solution to the system of isothermal 1-D Euler equations for electrons and ions coupled by the Poisson equation is proved using Glimm's scheme as Poupaud, Rascle and Vila in the semiconductor context.
		The key point is the use of the almost conservation of charge for estimating the total variation of the electric field.
		Euler Poisson systems for plasmas have been studied intensively both analytically and numerically in the literature (see, e.g.
	citeseer.ist.psu.edu /cordier95global.html (409 words)

	Euler angles (Site not responding. Last check: 2007-10-29)
		Replacing the three brick edges with mathematical lines, and the pivot corner with a point, one arrives at two coordinate systems sharing a common origin.
		Euler angles are one of several ways of specifying the relative position of two such coordinate systems.
		Given two coordinate systems xyz and XYZ with common origin, one can specify the position of the second in terms of the first using three angles α, β, γ in three equivalent, as follows:
	www.worldhistory.com /wiki/E/Euler-angles.htm (1365 words)

	Venn Diagrams
		Venn's system uses only one diagram, the eight-subregion diagram which represents all possible types (see the right hand subfigure of Figure 19.12).
		The system augments this with annotations which distinguish the status of the type of individual corresponding to the annotated region.
		Venn's system is used with a single static arrangement of circles to which notations are added.
	www.cogsci.ed.ac.uk /study/ug/hc1h/course/courseware/content/notes/node150.html (354 words)

	Smooth Irrotational Flow in the Large to the Euler-Poisson System in R 3+1 - Guo (ResearchIndex) (Site not responding. Last check: 2007-10-29)
		Abstract: : A simple two-fluid model to describe the dynamics of a plasma is the Euler-Poisson system, where the compressible electron fluid interacts with its own electric field against a constant charged ion background.
		The plasma frequency produced by the electric field plays the role of `mass' term to the linearized system.
		Smooth irrotational flows in the large to the Euler-Poisson system in R 3+1.
	citeseer.ist.psu.edu /221634.html (558 words)

	Euler system - Encyclopedia, History, Geography and Biography
		Euler system - Encyclopedia, History, Geography and Biography
		This page was last modified 01:31, 10 May 2005.
		This encyclopedia, history, geography and biography article about Euler system contains research on
	www.arikah.net /encyclopedia/Euler_system (290 words)

	EULER User Questionnaire - Public Version
		The main aim of the EULER user questionnaire was to obtain the prospective users' suggestions and expectations for the EULER system.
		All EULER partners distributed and introduced the questionnaire to the mathematical community and the associated library scene.
		This rating means that the EULER system should provide a document delivery component by which the users have the possibility to get the document.
	www.emis.de /projects/EULER/Reports/pD11 (6385 words)

	Preprint 1999-010 (Site not responding. Last check: 2007-10-29)
		Abstract: We consider the one dimensional Euler-Poisson system, in the { \em isothermal case}, with a {\em friction coefficient} $\epsi^{-1}.$ When $\epsi \rightarrow 0_+$, we show that the sequence of entropy-admissible weak solutions constructed in \cite{PRV} converges to the solution to the drift-diffusion equations.
		We use the scaling introduced in \cite{MN2}, who proved a quite similar result in the {\em isentropic} case, using the theory of compensated compactness.
		Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.
	www.math.ntnu.no /conservation/1999/010.html (156 words)

	Euler Systems for Higher K-theory of number fields - Banaszak, Gajda (ResearchIndex) (Site not responding. Last check: 2007-10-29)
		Euler Systems for Higher K-theory of number fields
		Abstract: this paper we construct elements in higher K-groups of a number field which behave similarly to the Euler system of Gauss sums investigated by K.Rubin in [Ru2].
		G.Banaszak and W.Gajda, Euler systems for higher K-theory of number fields, to appear in the Journ.
	citeseer.ist.psu.edu /73174.html (465 words)

	Euler systems for higher K-theory of number fields, by Grzegorz Banaszak and Wojciech Gajda (Site not responding. Last check: 2007-10-29)
		Euler systems for higher K-theory of number fields, by Grzegorz Banaszak and Wojciech Gajda
		We apply the Euler system of Gauss sums (introduced by K.Rubin in his proof of the Main Conjecture in Iwasawa theory) to Algebraic K-theory of number fields.
		Using the Euler system we construct elements in K-groups (with finite coefficients) of cyclotomic extensions of Q. The elements have many nice properties, e.g., we are able to determine explicitly their behaviour under the boundary map in the Quillen localization sequence.
	www.math.uiuc.edu /K-theory/0070 (294 words)

	Constructing a direction field (Site not responding. Last check: 2007-10-29)
		In particular, the variable eulerfcn1 is the right-hand side of the iterating function of the first equation for Euler's method.
		The variable eulerfcn2 is the right-hand side of the iterating function of the second equation for Euler's method.The variable h is the step size.
		The variables t0, tf, x0, y0 are the starting time, ending time, and initial values of the first and second unknown functions, respectively.
	math.vt.edu /people/damir/class_home/instructions/init_Euler_system.html (128 words)

	CHAPTER VII (Site not responding. Last check: 2007-10-29)
		Since the complete integral of Euler's differential equation of the second order contains two integration constants, it is, in general, possible to make these two constants fit the boundary conditions, the latter giving two equations which the integration constants must satisfy.
		Hence, the general solution of Euler's differential equation, depending on two arbitrary integration constants, is obtained by single quadrature.
		Euler's system of differential equations is very important for many branches of
	kr.cs.ait.ac.th /~radok/math/mat9/07.htm (5335 words)

	EULER: WWW document server with public EULER reports
		The public WWW Homepage of the EULER project is located at http://www.emis.de/projects/EULER/.
		The installation and maintenance of the public EULER WWW server is part of Task 5.1 of the project's workplan (Information Dissemination, Deliverable D5.1.2).
		The contents of the public EULER WWW server is prepared by FIZ Karlsruhe / Zentralblatt MATH (with assistance from other EULER project participants) and regularly uploaded to the EMIS distribution server.
	www.emis.de /projects/EULER/Reports/D512.html (1072 words)

	Introduction to Linux System Administration - Euler Training Center, Minneapolis, MN
		The topics are for professionals who are new to Linux System Administration.
		Before enrolling please use the skills assessment as a guide in determining which class level is appropriate for your skill level.
		Course Description for Introduction to Linux System Administration class offered by the Euler Training Center can be viewed here.
	www.euler.com /training/linux-sa.html (131 words)

	[No title] (Site not responding. Last check: 2007-10-29)
		For example, whether it is an initial value problem or a boundary value problem, whether it is non-linear or linear, what its critical points are, etc. c) Be able to write down various numerical methods that we have studied so far for the solution of a first order system posed as an initial value problem.
		For instance be able to write down the equations (as applied to a specific system) for: Euler's method the modified Euler's method the backward Euler's method d) Be able to compute and sketch the solution in the phase plane for some very simple example of an initial value problem.
		if we use Euler's method to solve this equation there will be a stability criteria.
	www.cs.umbc.edu /~stephens/NUM/EXAM/exam2prep04.html (638 words)

	EULER - Service (Site not responding. Last check: 2007-10-29)
		The EULER service provides you with a one-stop-shop in your search for mathematical resources such as books, pre-prints, web-pages, abstracts, proceedings, serials, technical reports and thesis.
		The EULER service is the result of the EULER-project which is co-funded by the European Comission in the Telematics for Libraries sector from the Telematics Applications programme.
		If you are interested in the work behind the EULER service, welcome to our project homepage.
	euler.lub.lu.se /egwcgi/egwcgi/egwirtcl/euleralpha.tcl/name=find_simple&service=euleralpha&lang=en&server=zaphod.lub.lu.se&grouppref=identifier (278 words)

	Animating Vehicles (Site not responding. Last check: 2007-10-29)
		The Euler system, on the other hand, stores orientations as combinations of x, y and z rotations.
		Well the problem with the Euler rotation system is that when you specify a particular rotation (in this case 900 degrees through the z-axis), the final orientation is not stored in that way.
		So, remember, set up the orientations in the most natural way for the object system and then parent the working system to a Null object so that it can be positioned/orientated in any way you like.
	www.artofillusion.org /docs/cartut/vehicle_tut (3759 words)

	/usr/shar/local/matlab42/toolbox/simulink Directory Documentation
		system values given time point, T, current state vector, X, and input vector, U. FLAG is used to indicate the type of output to be returned in SYS.
		is an example of a discrete system with an explicit update time.
		The system is a one degree of freedom pendulum with
	bass.gmu.edu /matlab/toolbox/tsimulink.html (11116 words)

	Travelling wave analysis and jump relations for Euler-Poisson model in the quasineutral limit (Site not responding. Last check: 2007-10-29)
		The paper is devoted to the travelling wave analysis of the Euler-Poisson model for a plasma consisting of electrons and ions.
		When the Debye length tends to zero, this system leads to a non-linear hyperbolic system in a non-conservative form called quasineutral Euler system.
		Our aim is to determine the admissible jump relations and shock solutions for the quasineutral Euler system as limits of travelling wave solutions for the Euler-Poisson system.
	mip.ups-tlse.fr /publi/rapp94/94.02.html (128 words)

	EULER - Service (Site not responding. Last check: 2007-10-29)
		The EULER service provides you with a one-stop-shop in your search for mathematical resources such as books, pre-prints, web-pages, abstracts, proceedings, serials, technical reports and theses.
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		The EULER service is the result of the EULER-project which is co-funded by the European Commission in the Telematics for Libraries sector from the Telematics Applications programme.
	euler.lub.lu.se /cgi-bin/egwcgi/egwirtcl/eulerbeta2.tcl/name=find_simple&service=eulerbeta2&lang=en&server=euler.lub.lu.se&grouppref=identifier#euler-service (236 words)

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