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Complexity Digest - Complexity, Initial Condition Sensitivity, Dimension And Weak Chaos In Dynamical Systems Abstract: We prove quantitative relations between complexity, initial condition sensitivity and dimension which are suitable for 0-entropy dynamical systems. The initial condition sensitivity indicators consider the asymptotic behaviour of the speed of divergence of nearby starting orbits. (...) local relations are proved between generalized orbit complexity, initial condition sensitivity and the dimension of the underlying space or measure. www.comdig.org /article.php?id_article=11911   (144 words)

PlanetMath: initial value problem An initial value problem is then a differential equation (ordinary or partial, or even a system) which, besides of stating the relation among the derivatives, also, by giving the initial conditions, specifies the values of the unknowns at some point. Another way to consider an initial condition is seen in context of the tractrix. This is version 5 of initial value problem, born on 2003-10-24, modified 2005-08-10. planetmath.org /encyclopedia/InitialValueProblem.html   (253 words)

Transient Analysis with Initial Conditions The handling of initial conditions was rather complicated with version 1 of Analog Insydes. Therefore, the netlist format was extended to treat initial conditions of dynamic circuit elements such as capacitors or inductors. Initial conditions which are not explicitly specified in the netlist are then assumed to be zero. documents.wolfram.com /applications/insydes/Tutorial/TransientAnalysiswithInitialConditions.html   (320 words)

Integer Delay (DSP Blockset) The Initial conditions parameter specifies the output of the block during the initial delay. For a time-varying initial condition, the values specified in the Initial conditions parameter are output in sequence during the initial delay. The Initial conditions parameter specifies the output during the initial delay. www.tau.ac.il /cc/pages/docs/matlab/help/toolbox/dspblks/integerdelay.html   (1521 words)

SRS Theory Topics Subjects in the incentive condition we offered $2 in exchange for their participation at the start of the conversation, while subjects in the unexpected incentive group were offered the $2 at the end of the conversation. The subjects in the third condition (Familiarization condition) were called and told about the organization the experimenter said he worked for and the survey they were conducting, listed the questiones he was asking, and then said that he was only letting her know of the existence of the organization. After recieving the initial request through telephone calls if the subject agreed to participate they were told that the names of those others willing to participate would be complied and they would be recalled if their participation was indeed necessary. www.as.wvu.edu /~sbb/srs/ftopics/procedur.htm   (5500 words)

[No title] Initial material properties and boundary conditions must be consistent with the initial heads. If you start with initial heads that are contoured from field measurements and you do not apply a stress to the system, the heads will adjust to the properties and boundaries, so you are inadvertently introducing a stress by defining inconsistent values for starting conditions. All subsequent stresses must be simulated from the time when equilibrium prevailed until time when the initial conditions are needed is reached, then the early stresses must continue along with the new stress of interest if the early stresses continue in the field. www.mines.edu /~epoeter/583/04/discussion/transient_anal_main_page.htm   (553 words)

Part I The initial condition that has been disregarded both is classical theory and relativity is the level of background energy, (which is the same as the level of the energy of motion of the local reference frame on which a physical process of a system occurs). Nevertheless, there is one particular initial condition that cannot be made identical with respect to two ‘laboratories’ in relative motion; the laboratories being considered as reference frames A and B. That initial condition is the state of true motion of the two ‘laboratories’. This particular initial condition has been wished away by postulating that inertial frames of reference are in relative motion, and that between two such frames there is no way to distinguish which one is in a higher state of motion in an absolute sense with respect to the other. wbabin.net /physics/viraj2.htm   (7967 words)

[No title] The (optional) initial condition specification using IC=VD is intended for use with the UIC option on the.TRAN card, when a transient analysis is desired starting from other than the quiescent operating point. The (optional) initial condition specification using IC=VBE,VCE is intended for use with the UIC option on the.TRAN card, when a transient analysis is desired starting from other than the quiescent operating point. The (optional) initial condition specification using IC=VDS,VGS,VBS is intended for use with the UIC option on the.TRAN card, when a transient analysis is desired starting from other than the quiescent operating point. www.eecg.toronto.edu /~johns/spice/part3.html   (2007 words)

[No title] It suggests that no probability metric can be put over initial conditions at all, since we don’t know how often any given initial condition would occur if the world were “rerun.” Sklar describes this complaint as questioning the ‘very propriety of attributing “probabilities” to these initial or overall conditions of the world at all. The set of classical initial conditions needed for this to occur is astoundingly small on the standard measure. Condition (3) arises from the idea that the probability measure should actually be one that is used by science, not one designed merely to create mischief. philsci-archive.pitt.edu /archive/00001740/01/measures_time_and_explanation.doc   (9019 words)

multistep.htm   (Site not responding. Last check: 2007-10-03) The fourth argument is the initial condition, X(n-1). The fifth argument is the initial condition, X(n-2). The initial conditions X(n-1) and X(n-2) are not plotted. www1.appstate.edu /~marland/teaching_tools/multistep1.htm   (131 words)

Dependence on Initial Conditions   (Site not responding. Last check: 2007-10-03) To examine the dependence on initial conditions, we repeat run holding everything else fixed but the initial conditions. Physically, these modes may be understood as remnants of the domain scale perturbation introduced in the initial conditions. While the higher wave number modes have readjusted to the dynamics of the system or so to speak have been forgotten in the course of a 110 year evolution, it seems that the evolution would have to continued for much longer times before these domain scale perturbations are forgotten. public.lanl.gov /balu/nonhydro/node6.html   (185 words)

babaykio1 We need to the current meteorological data such as temperature, pressure, mixing ratio, and wind, which will be the source of the initial condition for the computer weather model, in order to predict future weather. Once initial condition is set up at grid’s points, we are ready to run weather model. This variation of initial conditions will create much larger differences in some output data and will not do in other output data. cc.usu.edu /~khatt/nwp.htm   (859 words)

ming2   (Site not responding. Last check: 2007-10-03) For the coarse grid, the RUC analysis was used as the initial condition and the RUC forecast fields as boundary conditions. The amplitudes of temperature perturbations and vertical velocities in the initial condition are weaker than those of adjoint case but are larger than when using ADAS analysis. Instead, these fields were interpolated to the ARPS grid and used as the initial condition directly, thus limiting the area of influence by the retieved data to the vicinity of observations. www.caps.ou.edu /ARPS/papers/98NWPjdg.html   (1405 words)

Initial conditions   (Site not responding. Last check: 2007-10-03) Initial conditions do not usually play a significant role in tokamak transport modeling, because normally steady-state discharge conditions are under study. The simulation of some processes can be sensitive to the initial choice of the current density profile, and this choice may require care. It is usually sufficient to set initial conditions self-consistently, to give smooth plasma evolution during the initial moments of the run. www.ipp.mpg.de /~git/astra2/node11.html   (323 words)

Differential Equations (Math 3401) - Basic Concepts - Definitions   (Site not responding. Last check: 2007-10-03) Initial Condition(s) are a condition, or set of conditions, on the solution that will allow us to determine which solution that we are after.  Initial conditions (often abbreviated i.c.’s when I’m feeling lazy…) are of the form So, in other words, initial conditions are values of the solution and/or its derivative(s) at specific points.  As we will see eventually, solutions to “nice enough” differential equations are unique and hence only one solution will meet the given conditions. The number of initial conditions that are required for a given differential equation will depend upon the order of the differential equation as we will see. tutorial.math.lamar.edu /AllBrowsers/3401/Definitions.asp   (1485 words)

GFS Snow Initial Condition and Forecast, Page 2   (Site not responding. Last check: 2007-10-03) The GFS initial snow depth is interpolated to the appropriate physics grid (approximately 0.4° x 0.4° for the T382 GFS in mid-latitudes) from the 0.5° x 0.5° global analysis. Until a new snow depth analysis is available, the 6-hour (first guess) snow depth forecast from the previous GFS model run is used for the initial condition. The water equivalent of the snow pack is initially set to 10% of the analyzed snow depth (assumes the traditional 10:1 snow depth to water content ratio). meted.ucar.edu /nwp/pcu2/avsnow2.htm   (676 words)

Integrator (Simulink Reference) to trigger the reset and hold the output to the initial condition while the reset signal is nonzero. The initial condition port of the integrator in each subsystem is connected to the output port of the integrator in the other subsystem. In this model, the initial condition of the integrator in A depends on the value of the state port of the integrator in B, and vice versa. www-rohan.sdsu.edu /doc/matlab/toolbox/simulink/slref/integrator.html   (1730 words)

Command >> INITIAL   (Site not responding. Last check: 2007-10-03) This command selects as a parameter the initial condition for all grid blocks associated with a certain rock type (TOUGH2 variable DEPU(ipv)) or default initial condition (TOUGH2 variable DEP(ipv)). Since boundary conditions are specified as initial conditions for inactive grid blocks or grid blocks with a large volume, this command can also be used to estimate boundary conditions. Initial conditions estimates cannot be provided for individual elements unless they have a unique material name associated with them. www-esd.lbl.gov /iTOUGH2/Command/INITIAL_2.HTML   (145 words)

Gelex: Start Conditions The name of the start conditions are case-insensitive and are made up of a letter followed by zero or more letters, digits, or underscores. Because of this, exclusive start conditions make it easy to specify "mini-scanners" which scan portions of the input that are syntactically different from the rest (e.g. In case of nested start conditions, you could also keep track of previous start conditions by pushing them on an integer stack and then popping them from the stack as you leave the current start condition. www.gobosoft.com /eiffel/gobo/gelex/start_conditions.html   (702 words)

Management to Maintain Stored Grain Quality, G94-1199-A When stored grain goes out of condition, it is usually the cumulative result of several interrelated management factors that include: 1) harvesting, handling, and storage equipment; 2) initial condition of the grain; 3) grain moisture content; 4) grain temperature; 5) aeration system management; 6) insect and mold control; and 7) monitoring grain condition. One critical aspect of natural air drying is that the initial drying front must be moved through the full depth of the grain bin as quickly as possible. Monitoring grain condition is extremely important during the summer because grain is held at higher temperatures and aeration conditions are less favorable. ianrpubs.unl.edu /farmbuildings/g1199.htm   (3207 words)

Eigenvalues for Vibration Problems We will use initial condition to solve for the unknown coefficients, just like we did with differential equations. Now let's consider the case when the initial condition on velocity is zero, and there is an arbitrary initial condition on position (this is the case we'll most often use): omega=sqrt(diag(-d)); x0=[1 -1]' %Initial condition gam=inv(v)*x0 %Find unknown coefficients %nxn array with coefficients of gamma along the diagonal g=diag(gam); t=0:0.2:20; %1xM Time vector (for plotting) % cos(omega*t) is an nxM array with % cos(w1*t),...,cos(wn*t) in rows x=v*g*cos(omega*t); %Calculate output %This next code does some string manipulation to make %legends for the plots, no calculations. www.swarthmore.edu /NatSci/echeeve1/Ref/MtrxVibe/EigApp/EigVib.html   (562 words)

Static Hamilton-Jacobi Equations in 3-D: Templatehj::GridBase< T, DifferenceScheme > class Reference   (Site not responding. Last check: 2007-10-03) Initialize the solution array and initialize the difference scheme. Read the initial condition and initialize the difference scheme. All the points in the solution array that are not infinite are taken to be known. www.acm.caltech.edu /~seanm/projects/hamilton-jacobi/html3/classhj_1_1GridBase.html   (347 words)

Sensitive Dependence on Initial Conditions The initial condition that will determine whether the ball goes to the left or right is minute. Dynamic systems, that are highly dependent on their initial conditions, are the main subjects of investigation in modern chaos theory. The ball falling on a razor blade is a good example of such a dynamic system because a very slight change in the initial conditions of the ball can result in falling to the right or left of the blade. www.schuelers.com /ChaosPsyche/part_1_14.htm   (1238 words)

Best Buy on Web But, this only condition can be the manifestation from a set of many (or infinite) possible initial conditions. If initial conditions can be annihilated by a (or any) process, such as the inflationary bang or a converging system which rapidly lose memory of their initial condition or a diverging system which is ultimately chaotic, then any difference between case 1 and case 2 vanishes (case 3) If initial condition at the beginning of creation cannot be annihilated by any process, then that initial condition must give rise to both laws of nature and the boundary condition of our current universe (case 4) www.fortunecity.com /greenfield/crawdad/792/Create.htm   (3989 words)

Citebase - Initial condition of a thick loop cosmic string and linear perturbations   (Site not responding. Last check: 2007-10-03) Initial condition of a thick loop cosmic string and linear perturbations The initial data of the gravitational field produced by a loop thick string is considered. We show that a thick loop is not a geodesic on the initial hypersurface, while a loop conical singularity is. This suggests that there is the ``{\it critical thickness}'' of a string, at which the linear perturbation theory with a flat space background fails to describe the gravity of a loop cosmic string. www.citebase.org /cgi-bin/citations?id=oai:arXiv.org:gr-qc/0101065   (1001 words)

PalmettoGBA.com-Providers/DMERC/Advisories/2003 (Certificates of Medical Necessity: Common Scenarios)   (Site not responding. Last check: 2007-10-03) Recert date would be 12 or 3 months after initial date depending on whether initial cert was Group I or Group II Change in supplier due to acquisition. The initial date should be the date of Medicare eligibility if the patient has a Medicare qualifying test within 30 days before his/her eligibility. Submission of a new Initial CMN does not guarantee that a new capped rental period will be started. www.palmettogba.com /palmetto/providers.nsf/(Docs)/85256D580043E75485256D8D006337DD?OpenDocument   (784 words)

Example: Two-Dimensional Unsteady Problem Physically, we note that prior to the initiation of convective cooling on the top boundary, this boundary is adiabatic. Having specified the proper initial condition, we now note that the physics of subproblem 1 (and 2) indicate that a steady temperature distribution will eventually appear. will have to be homogeneous on all boundaries; this condition will allow us to obtain orthogonal solutions in the x- and y-directions which can then be used to satisfy the initial condition. www.coe.uncc.edu /~rkeanini/funht/not3h/node10.html   (494 words)

online C++ tutorial: Loops (for, while, do) test_condition this is the condition that is tested to see if the loop is executed again. condition is a boolean statement that is checked each time after the final "}" of the As an example, let's say that we wanted to write all the even numbers between 11 and 23 to the screen. www.intap.net /~drw/cpp/cpp04_03.htm   (245 words)

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