Errors dynamic

The dynamic error existing between and Cr depends on the relative magnitudes of the respective time constants. For the reactor, assuming a first-order, constant volume reaction... 

Eckart conditions, Renner-Teller effect, triatomic molecules, 610-615 Ehrenfest dynamics, direct molecular dynamics error sources, 403—404 Gaussian wavepacket propagation, 378-383 molecular mechanics valence bond (MMVB), 409-411... 

The MCFS method is simple to use and fast. The technique is however not general applicable and shows severe dynamic errors. 

Baker DA, Gough DA. Dynamic delay and maximal dynamic error in continuous biosensors. Analytical Chemistry 1996, 68, 1292-1297. 

Gong, X.Q., Zhang, C.F., Feig, M., Burton, Z.F. Dynamic error correction and regulation of downstream bubble opening by human RNA polymerase 11. Mol. Cell 2005,18,461-70. 

Microsoft, Oracle, and Linux are software platforms that provide scalable environments. Microsoft Access is a widely used data entry platform where tables with pull-down entries can be created. The data storage element at the back-end requires Microsoft SQL or a comparable system to provide reliable and secure back-up and data storage. The systems should allow for dynamic error detection notification at data entry, construction of computer forms that mimic hardcopy forms, and data lookup capabilities for subject information. A web-based data entry format allows for integration of geographically separate sites. An inventory system for the repository should be incorporated into the electronic database. A data dictionary should be part of the protocol (7). 

Severin, K. Lee, D.H. Martinez, J.A. Vieth, M. Ghadiri, M.R. Dynamic error correction in autocatalytic peptide networks. Angew. Chem., Int. Ed. 1998, 37, 126-128. Issac, R. Chmielewski, J. Approaching exponential growth with a self-replicating peptide. J. Am. Chem. Soc. 2002, 124, 6808-6809. 

For machine tools, we group errors in error motions of spindles and rotary axes (e.g., axial error motion, radial error motion), error motions of linear axes (e.g., linear positioning error motion, straightness error motion, pitch error motion), contouring errors (e.g., circular error) (ISO 230-1 2012). Errors of machine tools may be also grouped according to the error source geometric errors, errors of the numerical control, dynamic errors, thermal errors, load errors, etc. 

Assessment of the sources of error affecting the accuracy of the machine tool (MT) can be divided into quasi-static errors and dynamic errors. Quasi-static errors are errors in the machine that occur relatively slowly. This category is formed by geometric and kinematic error, thermal errors, etc [1]. However, dynamic errors are caused by structural vibration, spindle error motion, controller errors, etc. Unlike the quasi-static errors, these errors are more dependent on the working conditions of the machine. Overall, quasi-static errors account for about 70 percent of the total errors of a machine [2]. 

Figure 11 Schematic representation of a replicating network exhibiting dynamic error-correction properties. Template T is not only formed in an autocatalytic manner from building blocks E and N (cycle I) but is also catalyzed by mutant templates T9A (orange, cycle II) and T26A (blue, cycle III), which, in turn, do not possess any catalytic ability for their own formation.

Numerical analysis and simulation of adaptronic systems can be performed in the time or in the frequency domain depending on the representation of the system in the state space or as a matrix of transfer functions. In addition to performance criteria, important goals are stability and robustness of an adaptronic system. In the case of adaptronic structures, performance criteria are often given in terms of allowable static and dynamic errors relating to structural shape if subjected to specified disturbances. Many applications also involve limits in energy consmnption and actuator stroke or force, which must be checked in time-history simulations. A comprehensive introduction on the different aspects and their interaction can be found in [14]. Current research in the field is for instance presented in [15] and [16]. 

Any measurement transducer output contains some dynamic error an estimate of the error can be calculated if transducer time constant t and the maximum expected rate of change of the measured variable are known. For a ramp input, x(t) = at, and a first-order dynamic model (see Eq. 9-15), the transducer output y is related to x by ... 

The ramp response y(t) of a first-order system was obtained in Eqs. 5-19 through 5-21. The maximum deviation between input and output is at (obtained when t j), as shown in Fig. 5.5. Hence, as a general result, we can say that the maximum dynamic error that can occur for any instrument mth first-order dynamics is... 

Clearly, by reducing the time constant, the dynamic error can be made neghgibly small. 

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